Answer:
C. There are trillions of galaxies in the universe.
Explanation:
A. is wrong as nebulae are found inside galaxies and inside the universe, not inside stars.
B. is wrong because there are trillions of galaxies in the universe, not the latter.
D. The solar system consists of the eight planets, the Sun, comets, meteors, dwarf planets, and is inside the Milky Way galaxy and thus cannot have galaxies inside it.
Please give Brainliest
Answer:
C.
Explanation:
There are trillions of galaxies in the universe.
A ball is kicked at an angle θ = 45°. It is intended that the ball lands in the back of a moving truck which has a trunk of length L = 2.5m. If the initial horizontal distance from the back of the truck to the ball, at the instant of the kick, is d = 5m, and the truck moves directly away from the ball at velocity V = 9m/s (as shown on the next page), what is the maximum and minimum velocity vo so that the ball lands in the trunk? Assume that the initial height of 3 the ball is equal to the height of the ball at the instant it begins to enter the trunk.
To find the maximum and minimum velocities that the ball can have and still land in the trunk of the truck, we need to use the equations of motion for the horizontal and vertical positions of the ball as a function of time. Since the truck is moving away from the ball, the horizontal position of the ball will be given by:
x(t) = x0 + Vt - v0cos(θ)*t
Where x0 is the initial horizontal distance from the back of the truck to the ball, V is the velocity of the truck, t is the time, and v0 is the initial velocity of the ball.
Similarly, the vertical position of the ball will be given by:
y(t) = y0 + v0*sin(θ)*t - (1/2)gt^2
Where y0 is the initial height of the ball, v0 is the initial velocity of the ball, g is the acceleration due to gravity and t is the time.
We know that the ball will land in the trunk of the truck if the horizontal position of the ball is equal to the length of the trunk (L) at the same time that the vertical position of the ball is equal to the initial height of the ball (y0).
We can find the time of flight by setting y = 0,
t = (2v0sin(θ))/g
Now, we substitute this value of t and y0 = 0 in the equation of x(t) and equate it with L.
x0 + Vt - v0cos(θ)*t = L
We can solve this equation for v0 to get the initial velocity of the ball.
v0 = (L + x0cos(θ) - Vt)/(cos(θ) - t*sin(θ))
Finally, we know that the minimum and maximum initial velocities will correspond to the maximum and minimum values of sin(θ) and cos(θ). Since θ = 45°, we can find the maximum and minimum velocities as follows:
v0_max = (L + x0cos(45) - Vt)/(cos(45) - tsin(45))
v0_min = (L + x0cos(45) - Vt)/(cos(45) + tsin(45))
Note that in this case x0=5m, L=2.5m, θ=45°, V=9m/s, t = (2v0sin(45))/g and g is 9.8m/s^2
you can use these values to find out v0_max and v0_min.
a baseball and a golf ball have the same momentum. which has the greater kinetic energy?
The golf ball has the greater kinetic energy because it has more mass than the baseball.
What is kinetic energy ?
Kinetic energy is the energy of motion. Kinetic energy is directly proportional to the mass of the object and to the square of its velocity. The total kinetic energy of an object is the sum of all the kinetic energies of its component parts. Kinetic energy is a scalar quantity, meaning it is described by a single scalar value. Kinetic energy is the energy of a body in motion. It is determined by the mass of the body and its velocity. It is measured in joules (J). It can be applied to a variety of objects, from a bowling ball to a wave. Kinetic energy is used in many everyday applications. It is used in the operation of machinery, such as in an automobile engine, where the kinetic energy of the moving parts is converted into mechanical energy.
To learn abot more kinetic energy
brainly.com/question/8101588
#SPJ4
Make a prediction about what will happen when you click the green “Go!” button in the picture. Set up a simulation like that seen in the picture. Click the “Go!” button and describe what you observe. Did your observation match your initial prediction? Did the cart move in the direction of the greater force?
Answer:
Explanation:
yes
A string of length L = 2.2 m and mass m = 0.035 kg is fixed between two stationary points, and when the string is played a transverse wave of frequency f = 94 Hz is generated. The wave is vibrating in an unknown harmonic.
a. If the wavelength is 10.0 cm, which harmonic is this, counting the fundamental as 1?
b. For the case described in Part (a), what is the tension in N?
The wave is vibrating in an unknown harmonic are:
a. This is the 4th harmonic, counting the fundamental as 1.
b. The tension in the string would be T = 0.742 N.
What is wave?
Wave is a type of energy transfer through a medium, such as water, air, or sound. It is a disturbance that is propagated in two directions, forming a continuous oscillation of particles in the medium. Waves transfer energy without transferring matter, and can travel long distances without losing energy. Wave motion is characterized by its wavelength, frequency, and amplitude. Wavelength is the distance between two corresponding points on a wave, frequency is the number of waves that pass a point in a given time, and amplitude is the maximum displacement of the particles from their rest position. Wave motion is important for many physical phenomena, including sound, light, and ocean waves.
To learn more about wave
https://brainly.com/question/25699025
#SPJ4
Use unit vectors to express a displacement of 120 km at 29∘ counterclockwise from the x-axis.
The unit vector to express a displacement of 120 km at 29° counterclockwise from x- axis is 104.9544kmi + 58.17715kmjl
Evaluating the vector :
A = Aχ × i + Aу × j
= 120km × cos (29) × i + 120km × sin (29) × j
let i, j be the unit ve cot s along x and y axis
Vector A = 104.9544kmi + 58.17715kmjl
How do you find the displacement of a unit vector?
The displacement vector d from P1 to P2 can be written as d = (x2 - x1)i + (y2 - y1)j. The displacement d is (x2-x1) units in the x direction and (y2-y1) units in the y direction.
Why are unit vectors used?These unit vectors are commonly used to indicate direction, and scalar coefficients indicate magnitude. A vector decomposition can be written as a sum of unit vectors and scalar coefficients.
Why are they called unit vectors?A unit vector is a vector whose magnitude is exactly one unit. They are very useful for many reasons. In particular, the unit vectors [0,1] and [1,0] can be taken together to form other vectors.
Learn more about Unit vector :
brainly.com/question/14439545
#SPJ4
A vertically hung spring has a spring constant of 150 newtons per meter. A 2.00-kg mass is suspended from the spring and allowed to come to rest. Calculate the elongation of the spring produced by the suspended 2.00-kg mass. Write your answer in units of m.
PLEASE HELPPP!!
Saturn's core is pockmarked with impact craters and dotted with volcanoes erupting basaltic lava.
Why can't this discovery be reasonable?
Saturn's core is too deep for impactors to reach, even for dense gas and metallic hydrogen with volcanic lavas
At its center, Saturn has a dense core of metals such as iron and nickel, surrounded by rocks and other compounds that are solidified by intense pressure and heat. Similar to Jupiter's core, but surrounded by liquid metallic hydrogen with a much smaller layer of liquid hydrogen. Researchers have concluded that the planet's core is 55 times the mass of Earth, while rock and ice are 17 times the mass of Earth. Temperatures up to 21,000 F (11,700 C) can be reached inside. Because Saturn is an average of 886 million miles (1.4 billion kilometers) from the Sun, most of Saturn's heat comes from its core.
Learn more about Saturn in
https://brainly.com/question/12181523
#SPJ4
For radio and microwaves, the depth of penetration into the human body is approximately proportional to \sqrt {{\lambda }}.
If 27 MHz radio waves penetrate to a depth of 14 cm, estimate the depth of penetration of 2.3 GHz microwaves.
Working at 27 MHz is referred to as high-frequency (HF), and you won't be focusing it or employing horns or waveguides.
The antenna is most likely a dipole or monopole on the ground, and the wavelength is approximately 10 m. A radio carrier frequency utilized for radio control current operations is 27 MHz. The abbreviation "MHz" stands for megahertz, or one million cycles per second. Furthermore, the minimum wavelength will be 3 x 10 to 8 meters / 108 megahertz. Therefore, the FM wavelength will fall between 2.78 meters and 3.41 meters. Working at 27 MHz is referred to as high frequency (HF), and you won't be focusing it or employing horns or waveguides.
Learn more about current here-
https://brainly.com/question/21672734
#SPJ4
is 12 m/s a realistic speed for an object that you can throw with your hands?
Answer:
As 26.8 mph is equivalent to 12 m/s, it is a relatively fast speed for something you would throw with your hand.
The average person would have a hard time throwing objects at this speed without special training or equipment, There are athletes for example cricketers who can throw an object (ball) at 100-130 kph
The important thing to remember is that throwing an object from your hand requires no other external energy source, so it's primarily mechanical energy, which the human body can supply, and it can be improved with the right training and technique.
Convert 560 kilometers into miles
Answer:
347.967868
Explanation:
Repeat the previous problem for glasses that are 1.75 cm from the eyes. Reference Previous Problem:
A myopic person sees that her contact lens prescription is –4.00 D . What is her far point?
The far point of a myopic person with a prescription of -4.00 D is the point at which the eye can focus clearly on objects without the aid of corrective lenses.
What is objects?Object is an entity that possesses state and behavior. It can be physical or a virtual component. In programming, an object is a self-contained component which consists of both data and procedures/functions to manipulate the data. Objects can interact with other objects, and the interaction between objects forms the basis of object-oriented programming.
This point is approximately 4 meters (13 feet) away from the eye. The far point is the furthest point away from the eye at which a person with myopia can see clearly. In other words, the person with -4.00 D myopia can see clearly with their corrective lenses up to 4 meters away from them. Beyond that point, the person will need to use their corrective lenses to see clearly.
To know more about object click-
https://brainly.com/question/11929974
#SPJ4
If a car travels 200 meters in 10 seconds, what is the car's speed?
A. 200 m/s
B. 210 m/s
C. 10 m/s
D. 20 m/s
The speed of the car is 20 m/s. Therefore, Option D is correct
We know that Speed (S)= Distance (D) / Time (T)
Here, Distance (D)= 200 meters
Time (T) = 10 seconds
Therefore,
Speed= 200/10
Speed= 20m/s
Learn more about speed and distance at:
https://brainly.com/question/22242439
for a given process at constant pressure, w is positive. this means that the process involves______
A) work being done by the system on the surroundings
B) work being done by the surroundings on the system
C) no work being done
D) an equal amount of work done on the system and by the system
E) work being done against a vacuum
For a given process at constant pressure, w is positive. this means that the process involves work being done by the system on the surroundings
Work (w) is a term used in thermodynamics to describe the transfer of energy from a system to its surroundings. The formula w = -PV determines how much work a system does on its surroundings while a process takes place at constant pressure. P represents the constant pressure, while V represents the system's volume change.
As long as the pressure remains constant, the effort will be directly proportional to the transpose in volume. The work the system performs on its surroundings changes from negative to positive as its volume increases, transferring energy from the system to its setting in the form of work. This is consistent with the statement that the process involves the system working on the environment.
Read more about work done on:
https://brainly.com/question/25573309
#SPJ4
Marianne really likes coffee, but on summer days she doesn't wantto drink a hot beverage.
If she is served 230 { mL} of coffee at 84^\circ {\rm{C}} in a well-insulatedcontainer, how much ice at 0 ^\circ {\rm{C}} should she add toobtain a final temperature of 38^\circ {\rm{C}}?
307.89 g ice at 0 ^\circ {\rm{C}} should she add toobtain a final temperature of 38 ^\circ {\rm{C}}
What is the scientific definition of temperature?The associated with the motion power of the electrons in an item is measured by its temperature. The velocity of these particles likewise increases as the temperature rises. A thermometer or a temperature probe is used to determine the temperature.
The idea of heat conservation may be used to determine how much ice Marianne should put in the coffee. The energy gained by the melting ice is equivalent to the energy lost by the hot coffee.
The heat absorbed by the ice is given by the equation:
Q = mcΔT
where Q is the heat absorbed, m is the mass of the ice, c is the specific heat capacity of water (4.18 J/g*°C) and ΔT is the change in temperature (0 - 38 = -38°C).
The heat lost by the coffee is given by the equation:
Q = mcΔT
where Q is the heat lost, m is the mass of the coffee, c is the specific heat capacity of water (4.18 J/g*°C) and ΔT is the change in temperature (84 - 38 = 46°C).
We can put the two equations equal to one another and find the mass of the ice since the heat released by the coffee is equal to the heat absorbed by the ice:
m_ice * c * (-38) = m_coffee * c * 46
m_ice = m_coffee * 46 / (-38)
The mass of the coffee is given by the volume of coffee (230 mL) and the density of water (1 g/mL)
m_coffee = 230 mL * 1 g/mL = 230 g
so the mass of the ice needed is :
m_ice = 230 g * 46 / (-38) = -307.89 g
To know more about Temperature visit:
https://brainly.com/question/14633960
#SPJ4
Shopper leaves home and drives to a store located 7km away in direction 30° north of east.Leaving the store,the shopper drives 5km in a direction 50° west of north to a restaurant.Find the distance and direction from shopper's home to the restaurant?
As a result, from the homes of the shoppers to the restaurant, the distance is 12 km, and the direction is 80° north.
What is distance and direction?As the name implies, questions based on direction and/or distance are also known as Direction and Distance questions. Candidates must calculate the distance traveled between the starting location and the final / end point based on the provided starting point and direction. The position of one point and person with regard to another point and person and the distance among them must be determined for the Direction & Distance reasoning part.
How do you teach directions?Declare the terms "right" and "left." Ask the kids to tell you what these terms imply or mean when they are translated, then write their answers on the board with arrows pointing in the appropriate directions. Show the class how to pronounce the words once their meanings are obvious. Relative terminology, such as up, down, in, out, left, right, forward, backward, or sideways, can be used to define direction. You can also depict direction using the four cardinal directions: north, south, east, & west.
7km = 30 Degree of NE
5km = 50 degree of N
Therefore distance = 7km+5km
=12km
thus, direction = 50+30
=80° N
To know more about Direction visit:
https://brainly.com/question/13899230
#SPJ1
what is the magnitude of the total flux through the five non-shaded faces?
The magnitude of the total flux through the five non-shaded faces is 5 times the magnitude of the flux through a single face.
What does total flux mean?
Total flux is a measure of the overall rate of flow of a physical quantity, such as energy or particles, through a given surface or region. It is typically expressed as the total amount of the physical quantity that passes through the surface or region per unit time.In other words, total flux is a measure of the overall rate at which something is being transferred across a given area.
What does Magnatitude means?
Magnatitude is a term used to describe the strength or intensity of something, such as an emotion, a physical force, or an event. It is often used to describe the intensity of an earthquake, hurricane, or other natural disaster. In some cases, the term can also be used to describe the power of a person or group, such as the magnatitude of a leader's influence or the magnatitude of a corporation's reach.
Therefore, the magnitude of the total flux through the five non-shaded faces is 5 times the magnitude of the flux through a single face, or 5F, where F is the magnitude of the flux through a single face.
To know more about Total Flux,
https://brainly.com/question/26289097
#SPJ4
please help me with this problem.
The time spent in air by the rocket is 6.74 seconds.
What is the time of the rocket?
The time of motion of the rocket is the time spent in air by the rocket and it is calculated by applying the following formula.
t = √ ( 2h / g )
where;
h is the maximum height reached by the rocketg is acceleration due to gravityHaven calculated the maximum height reached by the rocket as 55.56 m, the time take for the projectile to fall to the ground is calculated as;
t = √ ( 2 x 55.56 / 9.8 )
t = 3.37 s
Total time spent in air = 2 x 3.37 s = 6.74 seconds
Learn more about time of motion here: https://brainly.com/question/2364404
#SPJ1
Parallel light rays cross interfaces from medium 1 into medium 2 and then into medium 3 as shown below. What can we say about the relative sizes of the indices of refraction of those media? (a) n_1 > n_2 > n_3 (b) n_3 > n_2 > n_1 (c) n_2 > n_3 > n_1 (d) n_1 > n_3 > n_2 (e) n_2 > n_1 > n_3 (f) None of the above
When rays enter medium 2, they are bent in the direction of the normal, therefore n2 > n1. However, when entering medium 3, rays are bent away from the normal, so n3>n2. So, n2 > n1 > n3.
Parallel beam of light refers to a collection of rays that are perpendicular to one another. Parallel light rays traverse medium 1 and medium 2 surfaces before entering medium 3. The Snell's rule only connects the refraction indices of the two media A and B to the angles I and r. As a result, n=sini/sinr is the refractive index of medium B in comparison to medium A. The frequency remains constant even when the speed of light changes when it moves from one medium to another (v=c/n). Thus, the light deviates.
To learn more about light click here https://brainly.com/question/15200315
#SPJ4
Scientists using the Hubble Space Telescope have observed Cepheids in the galaxy M 100. Here are the actual data for three Cepheids in M 100:
Cepheid 1: luminosity = 3.9×10^30 watts, brightness 9.3×10^-19 watt/m^2
Cepheid 2: luminosity = 1.2×10^30 watts, brightness 3.8×10^-19 watt/m^2
Cepheid 3: luminosity = 2.5×10^30 watts, brightness 8.7×10^-19 watt/m^2
Compute the distance to M 100 with data from each of the three Cepheids. Based on your results, estimate the percentage of uncertainty in the distance you have found.
The percentage of uncertainty in the distance of cepheids observed in galaxy 11%
What is the formula for the inverse square law?Inversely related to the square of the observer-to-source distance, the intensity of light that a source emits to an observer. This demonstrates that the intensity of light grows with distance and is equal to a number multiplied by 1/d2.
The inverse square law => d = [tex]\sqrt{L/4\pi * b}[/tex]
L = luminosity
b = brightness
Cepheid 1 : d1 5.77 x 10^ 23 m
Cepheid 2: d2 5 x 10^23 m
Cepheid 3 : d3 4.78 x 10^23 m
Avaerge distance = d1 + d2+ d3/3 => 5.18 x 10^23m
Hence, the percentage of uncertainty in the distance
=> 5.77 x 10^ 23 - 5.18 x 10^23 / 5.18 x 10^23
=> 11%
The Hubble Space Telescope is unique, but why?As a multipurpose observatory, Hubble was created to study the universe in the visible, ultraviolet, and infrared spectrums. Over 40,000 cosmic objects have been analysed by the telescope thus far, giving scientists access to views they couldn't see from the ground.
Learn more about Hubble Space Telescope here:
brainly.com/question/28936743
#SPJ4
Which of the following does not require work to be done? An increase in:
a) potential energy
b) kinetic energy
c) a combo of potential and kinetic
d) none of the above
None of the given options requires work to be done.
Does potential energy require work to be done?
Potential energy is a concept of the energy that results from the object's position; as a concept, it refers to the work you have to do to move the object from U=0.
How is potential energy related to work?
The potential energy U is equal to the work you must do against that force to move an object from the U=0 reference point to the position r. The force you must exert to move it must be equal but oppositely directed, and that is the source of the negative sign.
Does kinetic energy require work?
Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force. Applying a force requires us to do work. After work has been done, energy has been transferred to the object, and the object will be moving with a new constant speed.
Thus, both kinetic and potential energy is not related to work. So, the correct option is D
To know more about potential and kinetic energy :
https://brainly.com/question/16886655
#SPJ4
A gas undergoes a change of state described by the pV diagram shown in the figure below.
The gas is undergoing an isothermal process, which is a process in which temperature remains constant. This process involves the gas expanding from a compressed state to a more expanded state.
What is gas?
Gas is a form of energy that is produced through the burning of fossil fuels, such as coal, oil, and natural gas. It is used to power many of the everyday things we use, including our cars, stoves, and furnaces. Gas is also used to generate electricity, as well as provide heat for homes and businesses. When burned, gas creates a number of pollutants, such as carbon dioxide, carbon monoxide, sulfur dioxide, and nitrogen oxides, which can have a negative effect on the environment. To reduce its environmental impact, gas should be used as efficiently as possible. This means using appliances with higher energy ratings and making sure that any maintenance needed is kept up to date. In addition, using renewable energy sources, such as solar and wind power, can help reduce the use of gas.
To learn more about gas
https://brainly.com/question/30117672
#SPJ4
You are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the thermosphere(really hot it is 2000 degrees fahrenheit)
PLS HELP PLS IMMA GET A BAD GRADE
You would need to survive the thermosphere: The temperature ( 2000° C or more), the cosmic radiation and even solar activities, low air pressure and low air molecule.
What is thermosphere?Between the mesosphere and the exosphere is the thermosphere. The word "thermo" refers to heat, and the layer's temperature can rise as high as 4,500 degrees Fahrenheit.
However, because there aren't enough gas molecules for you to get the heat from the thermosphere, hanging out there would make you exceedingly cold. Additionally, this indicates that there aren't enough molecules for sound waves to pass through.
Learn more about thermosphere here:
https://brainly.com/question/13497783
#SPJ1
A 1,100kg car is turning on a flat roadway, moving in a circle with a radius of 12m. The car is going maximum speed through the turn without skidding. If the coefficient of friction between the car and the road is 0.57, find the speed of the car.
speed = ___ m/s (round to the nearest tenth)
Answer: 20.7 m/s.
Explanation: To find the speed of the car, we need to use the equation for centripetal force, which is:
Fc = m * a = m * v^2 / r
where Fc is the centripetal force, m is the mass of the car, a is the centripetal acceleration, v is the velocity of the car, and r is the radius of the turn.
We know that the coefficient of friction between the car and the road is 0.57
and it is the maximum speed, so the force of friction is equal to the centripetal force.
f = Fc = m * a = m * v^2 / r
f = μ * N = μ * m * g
so
m * v^2 / r = μ * m * g
where g is the acceleration due to gravity.
By substituting the known values into the equation, we get:
(1100 kg) * v^2 / (12 m) = (0.57) * (1100 kg) * (9.8 m/s^2)
Solving for v, we get:
v = sqrt((0.57 * 9.8 * 12 * 1100) / 1100)
v ≈ 20.7 m/s
To the nearest tenth, the speed of the car is 20.7 m/s.
how many nanometers are there in one gram?
For example enter 105 as 1x105
One gigameter, or 1 Gm, equals one million billion billion billion nanometers, or nm. It is the equivalent length of one gigameter, but expressed in the alternative length unit of nanometers.
How much is a nanometer?One nanometer is equal to one billionth of a metre in the International System of Units because the word "nano" stands for one billionth, or 10-9. Here are some illustrations to help you understand just how tiny that is: The thickness of a sheet of paper is 100,000 nanometers.
Similar to metres and centimetres, nanometers are a unit of length measurement. A nanometer is 0.000000001 or 10-9 metres, or one billionth of a metre. Greek for "dwarf" is the root of the word "nano." Objects with diameters between one and one hundred nanometers are referred to as nanoscale (nm).
One billionth of a metre is known as a nanometer (nm).
"Nano" is a prefix that literally meaning one billionth. One nanometer is equal to 0.000000001 m when written out.
To learn more about nanometers refer to:
https://brainly.com/question/30042816
#SPJ1
The atomic mass of of 5626Fe is 55.934939 u, and the atomic mass of 5627Co is 55.939847 u.
A.What type of decay will occur?
a. + (positron) decay
b. 42He (alpha) decay
B. How much kinetic energy will the products of the decay have?
Express your answer with the appropriate units.
The kinetic energy of the products of the decay depends on the masses of the products and their velocities.
What is velocity?Velocity is a vector quantity that measures the rate and direction of an object's movement. It is expressed in meters per second and is typically calculated with the formula distance divided by time. Knowing an object's velocity is useful for determining its speed, acceleration, and the total distance it has traveled. Velocity is one of the fundamental concepts in physics, which is why it is important to understand when studying the science.
If we assume that the decay occurs at rest, then the difference in the mass of the products and the parent nuclei is converted into kinetic energy. In this case, the mass difference is 0.06.
To know more about velocity click-
https://brainly.com/question/24445340
#SPJ4
Mountaineers often use a rope to lower themselves down the face of a cliff (this is called rappelling). They do this with their body nearly horizontal and their feet pushing against the cliff. Suppose that an 82.0 kg climber who is 1.90m tall and has a center of gravity 1.1 m from his feet rappels down a vertical cliff with his body raised 35.0° above the horizontal. He holds the rope 1.40m from his feet, and it makes a 25.0° angle with the cliff face. (a) What tension does his rope need to support? (b) Find the horizontal and vertical components of the force that the cliff face exerts on the climber's feet. (c) What minimum coefficient of static friction is needed to prevent the climber's feet from slipping on the cliff face if he has one foot at a time against the cliff?
(a) Tension in the rope = 1162.57 N
(b) Horizontal component of force = 965.74 N and the vertical component of force = 196.83 N
(c) Coefficient of static friction = Unknown
(a) To determine the tension the rope needs to support, we first need to find the force of gravity acting on the climber. We can use the equation:
F_gravity = m * g where,
m is the mass of the climber (82.0 kg) g is the acceleration due to gravity (9.8 m/s^2).F_gravity = 82.0 kg * 9.8 m/s^2 = 803.6 N
Next, we'll use trigonometry to find the force that the rope needs to support.
T = F_gravity * cos(25) + F_gravity * sin(35)
where T is the tension in the rope.
T = 803.6 N * cos(25) + 803.6 N * sin(35) = 607.63 N + 554.94 N = 1162.57 N
(b) To find the horizontal and vertical components of the force that the cliff face exerts on the climber's feet, we can use trigonometry.
F_horizontal = T * cos(25)
F_vertical = T * sin(25)
F_horizontal = 1162.57 N * cos(25) = 965.74 N
F_vertical = 1162.57 N * sin(25) = 196.83 N
(c) To find the minimum coefficient of static friction needed to prevent the climber's feet from slipping, we'll use the equation:
F_friction = friction_coefficient * F_norm where,
F_norm is the normal force acting on the climber's feet friction_coefficient is the coefficient of static friction.F_norm = F_vertical = T * sin(25) = 196.83 N
friction_coefficient = F_friction / F_norm = Unknown / 196.83 N
It's important to note that this is a simplified scenario and in a real-life scenario, the rope, angles, and forces will be changing, so the tension and the friction coefficient will be dynamic, this is just a snapshot of a specific scenario. Also, as the friction coefficient is unknown, we cannot calculate it without knowing the force of friction.
Learn more about friction here:
https://brainly.com/question/22438157
#SPJ4
Mary wants to investigate the relationship between magnetism and the movement of an electric charge.she has a call of wire hooked up to an ammeter to measure current. She has a moveable magnet inside the coil. As she moves the magnet within the coil, the ammeter indicates a certain current. Mary wants to increase the amount of current from the device.
Moving magnetic fields cause electrons to be pulled and pushed. There are loosely held electrons in metals like copper and aluminum. By rotating a coil of wire around a magnet or vice versa, an electrical current is produced by pushing the wire's electrons.
What is meant by electrons?Unattached or attached to an atom, an electron is a negatively charged subatomic particle (not bound). One of the three main types of particles inside an atom, along with protons and neutrons, is an electron that is linked to the atom. An atom's nucleus is made up of electrons, protons, and neutrons.The tiniest and least massive component of an atom is an electron, which has a negative charge. In a neutral atom, the number of protons and electrons is equal. For instance, the hydrogen atom only contains one proton and one electron. While the uranium atom has 92 protons and, thus, 92 electrons.To learn more about electrons, refer to:
https://brainly.com/question/860094
#SPJ1
A force of 65N is needed to start a 8kg box moving across a horizontal surface. calculate the coefficient of static friction
The coefficient of static friction on a horizontal surface is found to be 0.83.
How does friction coefficient work?The ratio between the perpendicular force pushing the objects together and the resistive frictional force is known as the coefficient of friction. The formula for the friction coefficient is = F N. Depending on the items creating friction, the coefficient of friction changes. The value might be larger than 1 but is often between 0 and 1.
Force (f)= 65N ; Mass (m) = 8Kg ; Acceleration due to gravity (g) = 9.8 m/s²
μ = Coefficient of static friction.
Static friction force, f = μmg
μ = f/mg ;
=> 65/(8 x 9.8) = 0.83
What factors affect the static friction coefficient?The nature and roughness of the surfaces in contact affect the coefficient of static frictional force. It does not depend on the size or surface area of the surfaces. The value might be larger than 1 but is often between 0 and 1.
Learn more about static friction here:
brainly.com/question/13000653
#SPJ1
You have negotiated with the Omicronians for a base on the planet Omicron Persei 7. The architects working with you to plan the base need to know the acceleration of a freely falling object at the surface of the planet in order to adequately design the structures. The Omicronians have told you that the value is gOP7=7.29 flurggrom2 , but your architects use the units metersecond2 , and from your previous experience you know that both the Omicronians and your architects are terrible at unit conversion. Thus, it's up to you to do the unit conversion. Fortunately, you know the unit equality relationships: 5.24flurg=1meter and 1grom=0.493second . What is the value of gOP7 in the units your architects will use, in metersecond2 ?
The value of gOP7 in the units architects will use, in metersecond2 is calculated as 5.72 m/s^2.
What is Omicron?Omicron Persei is triple star system in the constellation of Perseus. From parallax measurements that was taken during the Hipparcos mission, it is approximately 1,100 light-years (330 parsecs) from Sun.
We have available 2 conversion units.
5.24 flurg/m and 0.493 s/grom
I chose units to describe two conversions by making denominator equal to 1 in both cases, hence there are 5.24 flurgs per meter and 0.493 seconds per grom.
Now, it is given 7.29 flurg/grom^2 and we have to convert to m/s^2.
So, flurg/grom^2 / flurg/m
= flurg/grom^2 * m/flurg
= (m*flurg)/(grom^2 * flurg)
= m/grom^2
Now, 7.29 flurg/grom^2 / 5.24 flurg/m = 1.391221374 m/grom^2
Now, to convert from m/grom^2 to m/(s grom) using time conversion factor.
m/grom^2 / s/grom
= m/grom^2 * grom/s
= (m*grom)/(grom^2 * s)
= m/(grom * s)
As, 1.391221374 m/grom^2 / 0.493 s/grom
= 2.821950049 m/(grom s)
Similarly, 2.821950049 m/(grom s) / 0.493 s/grom
= 5.72403661 m/s^2
So, the value of gOP7 in metersecond2 = 5.72 m/s^2
To know more about omicrons, refer
https://brainly.com/question/10904292
#SPJ1
2. Given that A=(10√2)(ax+az) B=3(ay+qz) express the projection of B and A as a vector in a direction of A.
Answer:
bro is that even an answer is tis a prank!!
Explanation: