Answer:
focal length = 30 cm
Explanation:
You want the focal length of a convex mirror when moving the mirror an additional 15 cm away from the object causes its image size to decrease from 1/2 to 2/5 the size of the object.
Mirror equationThe relation between focal length (f), object distance (do) and image distance (di) is ...
1/f = 1/do +1/di
The ratio of heights is the same as the ratio of distances:
hi/ho =di/do
ApplicationIf we let do represent the original object distance, then (1/2)do = di, the original image distance. This gives one equation we need:
1/f = 1/do +1/(1/2do) = 3/do
Moving the mirror increases the object distance to (do+15). Now, the equation becomes ...
1/f = 1/(do+15) +1/(2/5(do+15)) = 7/(2(do+15))
SolutionSubstituting for 1/f, we have ...
3/do = 7/(2(do +15))
6(do +15) = 7do . . . . . . . . . cross multiply
90 = do . . . . . . . . . . . . subtract 6·do
Then the focal length is ...
1/f = 3/do
f = do/3 = 90/3 = 30
The focal length of the mirror is 30 cm.
Dave and Amy are having a cup of tea. Amy suggests blowing on the tea to cool it down. Dave doesn't think this will work. Who is right?
Amy is right in saying that blowing the tea will cool it down.
How does blowing on tea help to cool it down?When you blow on a hot liquid, such as tea, the air you blow over the surface of the liquid carries away some of the heat energy from the liquid. This causes the liquid to cool down. The cooling effect is greater the greater the difference in temperature between the liquid and the air.
Blowing on a hot object cools it down by increasing the rate of heat transfer from the object to the surrounding air. Heat is transferred from a hotter object to a cooler one through conduction, convection, and radiation. When you blow on a hot object, the air you blow over the surface of the object carries away some of the heat energy from the object through the process of convection.
So, blowing on the tea will help cool it down faster which means Amy is correct in suggesting that blowing on the tea can help cool it down.
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“Roller coasters scare me, but only when they are accelerating,” a friend says. “Once they start slowing down, I’m fine.” How would you respond to this statement?
The friend feels scared when the roller coasters falling down but he is fine during uphill. This is natural.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
The friend says that roller coasters scare him, but only when they are accelerating and adds that once they start slowing down, he is fine. It refers that he feels scared when the roller coasters falling down but he is fine during uphill. This is natural.
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Define compressibility. Write it's SI unit
In engineering field and the Physics of elasticity, compressibility is the inverse of bulk modulus
What is Compressibility ?Compressibility in a lay man language can be refer to the application of pressure on an object in order to reduce the size of the object.
But in the field of engineering, compressibility can simply be define as a reciprocal of bulk modulus of an elastic material.
Bulk Modulus = Force / Area in which the S.I unit will be N/m²
Since compressibility is the inverse of bulk modulus, its S.I unit will be reciprocal of the bulk modulus unit. That is,
m²/N which is also known as Byjus
Therefore, the S.I unit of compressibility is Byjus
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Use the concepts of work and energy to solve the following: You are first place in Mario Kart at the moment. Your 5.0 kg Mario Kart is moving at 5.5 m/s when you see an oil spill 10 m ahead. If your maximum braking force is 7.0 N, will you stop before you hit the oil spill? What is your braking distance?
Work is equal to energy. Since your braking distance is 10.8 m. you will not stop before you hit the oil spill
What is Energy ?Energy is the ability to do work. The work done on an object is tantamount to energy used on the object.
If you are first place in Mario Kart at the moment. Your 5.0 kg Mario Kart is moving at 5.5 m/s when you see an oil spill 10 m ahead. If your maximum braking force is 7.0 N, will you stop before you hit the oil spill? What is your braking distance?
By using the concepts of work and energy, that is,
1/2mv² = F × s
Where
m = 5 kgv = 5.5 m/sF = 7 Ns = ?Substitute all the parameters into the formula
1/2 × 5 × 5.5² = 7 × s
75.625 = 7s
s = 75.625/7
s = 10.8 m
Since the calculated distance is greater than the given distance (10 m), you will not stop before you hit the oil spill. And your braking distance will be 10.8 m
Therefore, you will not stop before you hit the oil spill.
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A cook holds a 2.00 kg carton of milk at arms length. What force must exerted by biceps muscle? ( ignore the weight of the forearm).
The force exerted by the biceps muscle would be equal to the weight of the carton of milk, which is 2.00 kg or 19.6 Newtons of force.
What is the force?
Force is an action that can cause an object to move, stop, or change its direction or shape. It is defined as a vector quantity, meaning it has both magnitude and direction. Forces can be either contact forces, like pushing or pulling, or forces at a distance, such as gravity, electricity, or magnetism.
Assuming the arm is straight out from the body and the length of the arm is 30 cm, the force exerted by the biceps muscle would be approximately 20 Newtons.
In this case, the force is equal to the weight of the carton of milk (2.00 kg) multiplied by the acceleration due to gravity (9.8 m/s2). This gives a force of 19.6 Newtons. Multiplying this force by the length of the arm (30 cm) gives a torque of 588 Nm.
Assuming the biceps muscle can generate a maximum torque of 600 Nm, the force it must exert to hold the carton of milk at arm's length would be 19.6 N x (600 Nm / 588 Nm) = 20 N.
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Two negatively charged objects exert a force on each other. Describe the force between the objects, and describe two ways to increase the force between them.
Answer:
is a
Explanation:
A pulse covers a distance of 5M in 15 seconds calculate the speed of the pulse
If a pulse covers a distance of 5 meters in 15 seconds, the speed of the pulse is 0.33 meter/second.
What is speed?Speed is characterized as the rate at which an object's position changes in any direction.
The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
Distance covered by pulse = 5 meters.
Time interval = 15 seconds.
So, the speed of the pulse is = Distance covered/ Time interval
= 5 meters / 15 seconds
= 1/3 meter/second
= 0.33 meter/second.
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A hot-air balloon is descending at a rate of 1.7 m/s when a passenger drops a camera.
If the camera is 43 m above the ground when it is dropped, how much time does it take for the camera to reach the ground?
If the camera is 43 m above the ground when it is dropped, what is its velocity just before it lands? Let upward be the positive direction for this problem.
The required solutions of both part of the question are a) t = 2.83 s, b) 27.7 m/s.
What is equation of motion?The fundamental equation of motion in classical mechanics is Newton's second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration an of its center of mass, or F = ma.
According to question:
a.) Before commencing the calculation, we need to specify the information.
Data:
acceleration dues to gravity, g = 9.81 m/s²
initial velocity u = 1.7 m/s
height, s = 45 m
t = ?
The formula for finding the distance is s = ut + 1/2at²
Therefore, 45 = 2t + 1/2×(9.81) ×t²
90 = 4t + 9.81 t²
Solving for t by the quadratic equation gives t = 2.83 s [Note the other negative value for t is rejected because there is no negative time]
b) The final velocity is given by the following equation:
v = u + at
where v = final velocity just before the camera lands on the ground
u = initial velocity
t = time taken
a = g = acceleration dues to gravity = 9.81 m/s²
Calculating gives
v = 2 + 9.81×2.83
= 27.7 m/s Ans
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How do you find the magnitude of the electric field at the origin?
In order to find the magnitude of the electric field at the origin, you need to use the equation E = q/4πεr², where q is the charge, ε is the permittivity of space, and r is the distance from the origin.
To calculate the electric field, you must first determine the charge of the particle, then determine the distance to the origin, and finally, use the equation to calculate the magnitude of the electric field.
Once you have the magnitude of the electric field at the origin, you can then use it to explore the behavior of other electric fields in the area.
To calculate the magnitude, you must first determine the values of k, q, and r, then plug them into the equation and solve. The resulting answer will be the magnitude of the electric field at the origin.
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Set the voltage on the battery to 10V by dragging the slider switch all the way to the right. 4. Now use the control panel to decrease the number of loops in the coil from 4 down to 3, then 2 loops and then 1 loop. What happens to the magnetic field when the number of loops in the coil are decreased? B I U Score: 0/2 5. Increase the number of loops in the coil to
When the number of loops in the coil are decreased then the magnetic field of that solenoid will also decrease as magnetic field is directly proportional to the no of loops or current.
What is solenoid ?An electromagnet referred as a solenoid which creates a regulated magnetic field using a helical coil of wire whose length is significantly higher than its diameter.When an electric current is run through the coil, it can create a consistent magnetic field inside a defined region of space. Which is given by B=μ0nICoil:An electromagnetic coil is a coil-shaped electrical conductor, such as a wire (spiral or helix). In electrical engineering, magnetic coils are utilized in things like electric motors, generators, inductors, electromagnets, transformers, and sensor coils, where electric currents and magnetic fields interact.
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The complete question is:
Set the voltage on the battery to 10V by dragging the slider switch all the way to the right. 4. Now use the control panel to decrease the number of loops in the coil from 4 down to 3, then 2 loops and then 1 loop. What happens to the magnetic field when the number of loops in the coil are decreased?
B I U Score: 0/2 5. Increase the number of loops in the coil to solenoid?
A force of 57. 1 newtons is applied for 0. 977 meters; what work was done on the object?.
Answer:
55.8 J
Explanation:
W = Fd = (57.1 N)(0.977 m) = 55.8 J
A man drag a 10. 0 kg bag of mulch at a contant peed applying a 22. 5 N force at a 32-degree angle. What i the friction force acting on the bag?
The friction force acting on the bag is 19.1 N. The result is obtained by using Newton's first law.
What is Newton's first law?Newton's first law states that every object will remain at rest or keep constantly moving in a straight line unless an external force acts upon it.
The equation of Newton's first law can be expressed as
∑F = 0
Where ∑F is net force.
A man drag a bag of mulch at a constant speed.
The given parameters are
m = 10.00 kgF = 22.5 Nθ = 32°Find the friction force (fs) acting the bag!
See the illustration picture in the attachment!
We calculate the parallel forces to find fs.
The mulch is moving at a constant speed. It means that the net force is zero.
∑F = 0
F cos θ - fs = 0
F cos θ = fs
fs = 22.5 × cos 32°
fs = 22.5 × 0.85
fs = 19.1 N
Hence, the friction force is 19.1 N.
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Explain why an 80,000 pound big rig traveling 2 mph has the same momentum as a 4,000 pound sport utility vehicle (suv) traveling 40 mph.
Answer:
Below
Explanation:
Momentum = m * v
80 000 *2 = 4000 *40
160 000 = 160 000 they have the same momentum
Compare the amplitude of these waves. (2 points)
A
B
C
D
E
Amplitude cannot be determined for waves
Amplitude is roughly the same for all 5 waves
Amplitude is decreasing from A to E
Amplitude is increasing from A to E
D) Amplitude is increasing from A to E. The amplitude of a wave is the maximum displacement of the wave from its equilibrium position. As we move from wave A to wave E, the maximum displacement of the wave increases, indicating that the amplitude is increasing.
What is equilibrium position?Equilibrium position is a state of balance in which the forces acting on an object are equal and opposite, resulting in no net force and no acceleration. This means that the object is not moving and is in a stable position. In physics, equilibrium is a state of balance between two or more forces, such as gravity, friction, and tension. When an object is in equilibrium, the sum of all forces acting on it is zero. Examples of equilibrium positions include a book resting on a table, a ball suspended in mid-air, and a person standing still.
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A metal sphere as a charge of +2.3 x 10 ^-6 C and lies 2 meters away from another metal sphere of unknown charge.
If the attractive force present between the spheres is 0.05 N, what is the charge on the second sphere?
The charge on the second sphere is -9.6×10⁻⁶ C.
Describe Coulomb's Law.The force of attraction or repulsion between two charged things is directly proportional to the product of their charges and inversely proportional to the square of their distance, according to Coulomb's law.
Given, Q1 = +2.3 x 10⁻⁶ C
distance, r = 2m
attraction force, Fa = 0.05N
now by using Coulombs law,
Fa = k×Q1×Q2/r
0.05 = 9×10⁹×2.3 x 10⁻⁶ × Q2 /2
Q2 = 2×0.05/ 9×10⁹×2.3 x 10⁻⁶
Q2 = 9.6×10⁻⁶ C.
Since it is an attractive force therefore charges will be opposite,
The charge on the second sphere is -9.6×10⁻⁶ C.
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3. A skydiver started his jump from the airplane. He fell 4.9 m in the 1st second, 14.7 m
in the 2nd second, 24,5 m in the 3rd second. How far did he fall between the 7th and the
10th seconds?
Arithmetic or geometric
The distance between the 7th and the tenth second is 29.4 m.
What is the progression?We know that we can have to formulate the information that has been given here so as to obtain a proper progression and this would help us to get the common difference of the progression that we are looking at.
Now we know that the progression would look something like; 4.9, 14.7, 24.5 ....
We can see that this is an arithmetic progression that has a common difference of 9.8.
U7 = a + (n - 1)d
a = first term
n = Number of terms
d = common difference
U7 = 4.9 + (7 - 1) 9.8
= 63.7
U10 = 4.9 + (10 - 1) 9.8
U10 = 93.1
Between the 7th and 10th seconds, we have;
93.1 - 63.7
= 29.4 m
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A cart weighing 10 newtons is pushed 10 meters on a level surface by a force of 5 newtons. What is the increase in its potential energy?.
The increase in its potential energy is zero.
Potential energy is only transferred when matter is moved in the direction of a conserving force. These include the force of gravity, the force of an electric field, and the force exerted by a spring or other elastic material.
If an object's height does not change, then there will be no increase in potential energy. There is no conservatism in friction. That's why there wouldn't be any change in potential energy if the aforementioned motion took place against a frictional force. The only form of energy change that would occur is an increase in kinetic energy, as the motion indicated above would cause the object's speed to change.
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Calculate the weight of the body of mass 500 g. (Take g =10 m / s 2)
What is the relationship between angle of incidence and angle of reflection in a plane mirror
In a plane mirror, the angle of equal to the angle in reflection both are identical. The law of reflection refers to this.
What is law of reflection?The law of reflection states that when a wave reflects off a surface, the angle of incidence is equal to the angle of reflection. This law applies to all types of waves, including light, sound and water. The incident wave and the reflected wave lie in the same plane, with the angle of incidence being measured between the incident wave and the normal vector (a line perpendicular to the surface of reflection). The normal vector and the reflected wave form the angle of reflection.
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The acceleration y, in meters per second squared, of an object after x seconds is given by y =. During the first 10 seconds, over which intervals is the acceleration increasing? (2, 6) (4, 8) (0, 2) and (6, 10) (0, 4) and (8, 10).
At interval (0, 2) and (6, 10), the acceleration will be increasing.
Acceleration is the rate of change of velocity with respect to time.
Also it can be defined as the maximum capacity of a vehicle to gain speed.Its SI unit is m/sec².It can be calculated by using the three equations of motion.The acceleration is given by y = 7*sin( x*[tex]\pi[/tex]/4).
to find at which interval the acceleration is increasing,
First, let's study about the sin function:
Sin(θ) increases between -[tex]\pi[/tex]/2 and [tex]\pi[/tex]/2
Sin(θ) decreases between [tex]\pi[/tex]/2 and (3/2)*[tex]\pi[/tex].
Here we have:
θ = x*([tex]\pi[/tex]/2)
When x = 0, θ = 0.
And sin(θ) is increasing in θ = 0.
Then we must choose one of the options that start with x = 0.
now it will stop increasing when:
θ = [tex]\pi[/tex]/2 = x*([tex]\pi[/tex]/4)
x = 2.
So the acceleration is increasing in the segment (0,2)
And it will start increase again when:
θ = (3/2)*[tex]\pi[/tex] = x*([tex]\pi[/tex]/4)
(3/2)*[tex]\pi[/tex]*(4/[tex]\pi[/tex]) = 6 = x.
So at x= 6 the acceleration starts increasing again, and the acceleration is only defined until x = 10,
Therefore
the correct option is: (0, 2) and (6, 10)
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A dart is fired horizontally from a dart gun, and
another dart is dropped simultaneously from the
same height. If air resistance can be neglected,
which dart hits the ground first?
Both the darts hits the ground at the same time, because acceleration is the same.
Why is air resistance a force?
Italian physicist Galileo Galilei, who is extremely well-known, discovered air resistance. He climbed to the top of the Leaning Tower of Pisa and threw numerous articles from the height.When an object moves through air, air creates a force known as air resistance. A body moving through the air will experience this force acting in the opposite direction. The moving body is frictionally forced against by air resistance. Air resistance slows a body down as it moves.A moving body's direction can be changed by air resistance, which has both strength and direction.The air resistance asserts that the air density () determines the force's size. The average value for this is 1.2 kg/m3.To learn more about air resistance refer to:
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Ahmed is making jelly. He needs the jelly to set in time for his party. He has two dishes that he can use to cool the jelly in. Dish A has a width of 30cm and a length of 45cm. Dish B has a width of 15cm and a length of 40cm. To get his jelly cooled faster which dish should Ahmed use?
Ahmed should use Dish A because it has greater exposed surface area than Dish B, hence the hot water vapour from the jelly will evaporate faster and the jelly will cool faster.
What is evaporation?Evaporation is the process through which water gains heat and escape from the liquid surface in form of vapour.
There are three basic factors that affects the rate of evaporation, and they include;
exposed surface area of the containertemperaturewindThe greater the exposed surface area of the container, the greater the rate of evaporation.
The exposed surface area of Dish A is calculated as;
A = 30 cm x 45 cm
A = 1,350 cm²
The exposed surface area of Dish B is calculated as;
B = 15 cm x 40 cm
B = 600 cm²
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Please show your complete solution of these questions.
(THOSE WHO ANSWERED WITH COMPLETE STEPS WILL BE MARKED AS BRAINLIST)
If energy costs 10 cents per kWh, it will cost Rs. 30 to heat a tank of water for 80 minutes using a 3000 W immersion heater.
Cost of electricity:Hours Used Per Day: Indicate the average number of hours per day that the device is used. If the daily power usage is less than one hour, enter the number as a decimal. (For instance, 30 minutes a day equals 0.5)
Your home's water is heated by a water heater so that you can have hot water for your everyday needs. Modern, more efficient kinds of electric water heaters may only need to operate for two hours every day instead of the standard three hours. Around 4000 watts are typically required for a water heater.
Cost Per Hour: (3000*100*60)/(80*3600)
Cost Per Hour: 30.
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Correct Question:
Calculate the cost of heating a tank of water with a 3000 W immersion heater for 80 minutes if electricity costs 10 cents per kWh.
A long string is pulled so that the tension in it increases by a factor of three. If the change in length is negligible, by what factor does the wave speed change?.
The wave speed in a string is proportional to the square root of the tension. Therefore, if the tension increases by a factor of three, the wave speed will also increase by a factor of the square root of three (√3), which is approximately 1.73.
The wave speed in a string is determined by the properties of the string, such as its tension, mass density, and elasticity. When the tension in a string increases, the wave speed will also increase, as the string is able to transmit waves more efficiently.
The relationship between tension and wave speed is given by the equation v = √(T/μ), where v is the wave speed, T is the tension, and μ is the mass density of the string. Therefore, if the tension in a string increases by a factor of three, the wave speed will also increase by a factor of the square root of three, which is approximately 1.73. It's important to note that this is true if the change in length is negligible.
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Which of the following best defines the scientific methodA. It is a way of allowing people to make assumptions about the world.B. It is a system of that only scientist can use inside the laboratory.C. It is a series of organized steps that one can use to answer a question or solve a problem.D. It is a process through which scientist can turn their observations into facts
Answer: The correct answer is C. It is a series of organized steps that one can use to answer a question or solve a problem
Explanation: The scientific method is a system of gathering and analyzing data that is used to answer questions and form theories. It includes steps such as formulating hypotheses, conducting experiments, collecting data, analyzing data, and forming conclusions. It is a useful tool for scientists to investigate and understand the world around them.
Which of the following is a disadvantage of renewable energy?a) High pollutionb) Available only in few placesc) High running costd) Unreliable supply
Answer:
Aaaasaasaaaaaaaaaaaaaaaaaaaaaaaaa
A car accelerates uniformly from rest and reaches a speed of 21.4 m/s in 5.1 s. The diameter of a tire is 38.2 cm. Find the number of revolutions the tire makes during this motion, assuming no slipping
To find the number of revolutions the tire makes during this motion, we need to calculate the distance traveled by the tire and divide it by the diameter of the tire.
First, we need to find the distance traveled. This can be calculated using the formula:
distance = (initial velocity + final velocity)/2 * time = (0 + 21.4 m/s)/2 * 5.1s = 110.7m
Next, we need to convert the diameter of the tire from cm to m.
diameter = 38.2 cm / 100 cm/m = 0.382 m
Now we can calculate the number of revolutions by dividing the distance traveled by the diameter of the tire:
revolutions = distance / diameter = 110.7m / 0.382 m = 290.64
Therefore, the tire makes 290.64 revolutions during this motion
Note that it is assuming that the tire is not slipping. When the tire is slipping, this result can be different.
the waves used by a microwave oven to cook food have a frequency of 2.45 ×10^9 hz calculate the wavelength of this type of wave
The wavelength of the microwave is 0.12 m.
What is the wavelength of the microwave?
The wavelength of the microwave is calculated by applying the relationship between speed of light, frequency and the wavelength.
Mathematically, the formula for the relationship between speed of light, frequency and the wavelength is given as;
λ = c / f
where;
c is the speed of lightf is the frequency of the waveλ is the wavelength of the microwaveThe wavelength of the microwave is calculated as;
λ = ( 3 x 10⁸ ) / ( 2.45 x 10⁹ )
λ = 0.12 m
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A block with the mass of 14.26kg is on a ramp with an incline of 41 degrees. If the block is stationary, what is the minimum value of the coefficient of static friction? [Please explain to me how you did it, I'm giving you 100 points lol].
The minimum value of the coefficient of static friction is 0.87.
What is the minimum value of the coefficient of static friction?
The minimum value of the coefficient of static friction is calculated by applying the formula for Newton's second law of motion as shown below.
Mathematically, the formula for Newton's second law of motion is given as;
F (net) = ma
Wsin (θ) - μW cos (θ) = ma
Where;
W is the weight of the blockθ is the angle of inclination of the blockm is the mass of the blocka is the acceleration of the blockμ is the coefficient of frictionWsin (θ) - μW cos (θ) = ma
mgsin (θ) - μmg cos (θ) = ma
gsin (θ) - μg cos (θ) = a
If the block is stationary, then acceleration of the block = 0
gsin (θ) - μg cos (θ) = 0
μgcos (θ) = gsin (θ)
μ = gsin (θ) / gcos (θ)
μ = sin (θ) / cos (θ)
μ = tan (θ)
The minimum value of the coefficient of static friction is calculated as;
μ = tan (41)
μ = 0.87
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What is difference between EV and HEV PHEV?
EVs lack an internal combustion engine, also confusingly referred to as BEVs (battery electric vehicles), which transform gasoline into propulsion power.
Instead, they only use the power from one or more sizable batteries to operate. When it comes to EVs, hybrids were the first significant market entrant, especially after the Prius' international launch in the early 2000s. These cars mastered the technique of alternating between an internal combustion engine and an electric motor to increase fuel efficiency. A plug-in hybrid electric vehicle (PHEV) is designed to run on both gas and battery power and is essentially a hybrid of an EV and an HEV. The main distinction is that they are more EV-like because the power is provided via plug-in chargers.
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