A block of mass m = 150 kg rests against a spring with a spring constant of k = 880 N/m on an inclined plane which makes an angle of θ degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position.

Required:
a. Set your coordinates to have the x-axis along the surface of the plane, with up the plane as positive, and the y-axis normal to the plane, with out of the plane as positive.
b. Denoting the coefficient of static friction by μs, write an expression for the sum of the forces in the x-direction just before the block begins to slide up the inclined plane. Use defined quantities and g in your expression ΣFx = 25%
c. Assuming the plane is frictionless, what will the angle of the plane be, in degrees, if the spring is compressed by gravity a distance 0.1 m?
d. Assuming θ = 45 degrees and the surface is frictionless, how far will the spring be compressed, d in meters?

Answer:

The acceleration due to gravity on the surface of a planet or celestial body is given by the formula:

g = G M / R^2

where G is the gravitational constant, M is the mass of the planet, and R is the radius of the planet.

Plugging in the values for Mercury, we get:

g = (6.674 x 10^-11 m^3/kg s^2) (3.30 x 10^23 kg) / (2.44 x 10^6 m)^2

Simplifying this expression gives:

g = 3.70 m/s^2

Therefore, the acceleration due to gravity on the surface of Mercury is approximately 3.70 m/s^2.

Both Technician A and Technician B are correct.

option C.

When the pinion gear of a power rack and pinion steering gear becomes binding or stuck on the rack gear, it can cause serious problem to the vehicle and one of the prolems is that the vehicle will pull to one side.

So if we consider the statement made by the technicians,

Technician A says when a vehicle pulls to one side; the problem may be caused by a pinion gear binding on the rack gear of a power rack and pinion steering gear.

Technician B says when a power steering rack and pinion steering gear spool valve binds it may cause a vehicle to pull to one side.

So both technicians are correct.

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Answer:

88.89 km/h.

Explanation:

D = S + T

   = 320km + 320km = 640km.

T = D/S

T1 = 320km / 80km/h = 4 hours

T2 = 320km / 100 km/h = 3.2 hours

Ttotal = T1 + T2 = 4 hours + 3.2 hours = 7.2 hours.

S = D/T

  = 640km / 7.2 hours

  = 88.89 km/h.

*Note:

S = Average speed.

D = Total distance.

T = Total time.

The average speed of the motorist for the entire trip is approximately 88.89 km/h.

To calculate the average speed of the motorist for the entire trip, we need to consider the total distance traveled and the total time taken. In this case, the motorist travels 320 km at 80 km/h and then another 320 km at 100 km/h.

First, let's calculate the time taken for each leg of the trip:

Time taken for the first 320 km at 80 km/h:

Time = Distance / Speed = 320 km / 80 km/h = 4 hours

Time taken for the second 320 km at 100 km/h:

Time = Distance / Speed = 320 km / 100 km/h = 3.2 hours

Now, let's calculate the total distance and total time for the entire trip:

Total distance = 320 km + 320 km = 640 km

Total time = 4 hours + 3.2 hours = 7.2 hours

Finally, we can calculate the average speed:

Average speed = Total distance / Total time = 640 km / 7.2 hours ≈ 88.89 km/h

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Answer:

Unbalanced

Explanation:

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(a) The direction of wave propagation is along the negative z-axis.

(b) The wavelength (λ) is π m, the frequency (f) is approximately 1.59 × [tex]10^{7}[/tex] Hz, and the wave impedance (Er) is approximately 0.1667 sin ([tex]10^{8}[/tex] + 2z) ohms.

(c) The magnetic field (H) is (50 sin ([tex]10^{8}[/tex] + 2z)) / (3 × [tex]10^{8}[/tex]) ay A/m.

If the direction of wave propagation is specified as along the negative z-axis, we can conclude that the wave is traveling in the opposite direction to the positive z-axis. In the given expression: E = 50 sin(10^8 + 2z) ay V/m

Since the wave is traveling along the negative z-axis, it means that as z increases (in the positive direction), the wave is propagating in the opposite direction.

Hence, the direction of wave propagation for the given wave is along the negative z-axis.

To find the wavelength (λ), frequency (f), and wave impedance (Er), we can relate the electric field (E) and magnetic field (H) components using the wave equation in a nonmagnetic medium:

E = c * H,

where c is the speed of light in the medium, which can be approximated as 3 × [tex]10^{8}[/tex] m/s in free space.

(a) Direction of wave propagation: Along the positive z-axis.

(b) Calculating λ, f, and Er:

Since the electric field (E) is given as E = 50 sin ([tex]10^{8}[/tex] + 2z) ay V/m, we can see that the angular frequency (ω) is [tex]10^{8}[/tex] rad/s and the wave number (k) is 2.

The relationship between wave parameters is given by: c = λ * f, where c is the speed of light.

Using the relation c = ω/k, we can solve for λ and f:

λ = 2π/k = 2π/2 = π m (meters)

f = ω/2π = [tex]10^{8}[/tex]/2π ≈ 1.59 × [tex]10^{7}[/tex] Hz (Hertz)

To find the wave impedance (Er), we can use the equation Er = E/H:

Er = E/c = (50 sin ([tex]10^{8}[/tex] + 2z)) / (3 × [tex]10^{8}[/tex]) ≈ 0.1667 sin ([tex]10^{8}[/tex] + 2z) ohms.

(c) The magnetic field (H) can be calculated using the relationship H = E/c:

H = (E/c) = (50 sin ([tex]10^{8}[/tex] + 2z)) / (3 × [tex]10^{8}[/tex]) ay A/m.

The direction of wave propagation is along the negative z-axis. (b) The wavelength (λ) is π m, the frequency (f) is approximately 1.59 × [tex]10^{7}[/tex] Hz, and the wave impedance (Er) is approximately 0.1667 sin ([tex]10^{8}[/tex] + 2z) ohms. The magnetic field (H) is (50 sin ([tex]10^{8}[/tex] + 2z)) / (3 × [tex]10^{8}[/tex]) ay A/m.

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The weight at the foot of each glass will be the same because it is decided by the stature of the fluid column over it and the increasing speed due to gravity. Be that as it may, the weight applied by the fluid on the dividers of the holder will be diverse due to contrasts in thickness.

Since natural product juice incorporates a higher thickness than water, the mass of the same volume of natural product juice will be more noteworthy than that of water.

This implies that the constraint applied by the natural product juice on the dividers of the glass will be more prominent than the constraint applied by the water on the dividers of its glass, as the drive is straightforwardly corresponding to mass.

Subsequently, the weight of the glass of natural product juice will be higher than the weight of the glass of water.

In rundown, in spite of the fact that the weight at the foot of each glass will be the same, the weight applied by the fluid on the dividers of the holder will be diverse due to the contrasts in thickness, with the natural product juice applying a more noteworthy weight. 

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The delivery man exerts a force of approximately 3,012,987 N on the pizza to lift it a height of 3.85 cm.

The work done on the pizza to lift it a level of 3.85 cm can be determined utilizing the equation W = Power*d, where W is the work done, F is the power applied, and d is the distance moved. We are given W = 116 kJ and d = 3.85 cm.

To find the power , we want to switch the distance over completely to meters and the work to joules. 3.85 cm is equivalent to 0.0385 m, and 116 kJ is equivalent to 116,000 J.

Presently we can substitute the qualities in the equation and address for F:

W = Power * d

116,000 J = F0.0385 m

F = 116,000 J/0.0385 m

F = 3,012,987.01 N

Hence, the conveyance man applies a power of roughly 3,012,987 N on the pizza to lift it a level of 3.85 cm.

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On one cookie containing 50 calories, you could potentially go approximately 298 meters

Given that one food calorie is equivalent to 4184 joules, we can calculate the total energy in joules contained in the 50 calorie cookie:

50 food calories * 4184 J/calorie = 209,200 joules

Assuming an average efficiency of around 25% (meaning 25% of the energy is effectively used for movement), and a body weight of 70 kilograms, we can use a rough estimation that it takes about 1 joule of energy to move 0.4 meters (based on the energy cost of walking).

Distance = (Energy obtained from the cookie * Efficiency) / (Energy cost per meter * Body weight)

Distance = (209,200 J * 0.25) / (1 J/m * 0.4 m/kg * 70 kg)

Distance ≈ 298 meters

Therefore, on one cookie containing 50 calories, you could potentially go approximately 298 meters

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The resistance indicated by the platinum thermometer at 200°C is 1.648 times the reference resistance Ro at 0°C.

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The work done is equal to the force applied parallel to the floor multiplied by the distance moves. Hence, option B is correct.

When a wooden crate is pushed across a floor, the work done on it is given by the product of the force applied parallel to the floor and the distance moved by the crate.

This is because work is defined as the product of force and displacement in the direction of the force, which in this case is the distance moved by the crate. The force of friction and the mass of the crate are not relevant to the calculation of work done in this scenario

It is important to understand the concept of work and the factors that influence it, as it is a fundamental concept in physics and is used in many real-world applications.

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The reflection in a clear window of a store is a(n) image.

Images are seen as reflections because of the behavior of light. When light strikes a smooth, reflective surface such as a mirror or still water, it bounces off the surface at the same angle at which it hit it. This process is called reflection. The reflected light rays then travel to our eyes, creating an image.

The angle of incidence (the angle at which the light strikes the surface) is equal to the angle of reflection (the angle at which the light bounces off the surface). This causes the reflected image to be a mirror image of the original object.

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Explanation:

The weight of an object is the force of gravity acting on it. Therefore, we can use the formula:

where mass is the mass of the person and gravitational acceleration is the acceleration due to gravity on Jupiter.

On Earth, the acceleration due to gravity is approximately 9.8 m/s^2. On Jupiter, the acceleration due to gravity is 2.5 times that on Earth, so it is:

2.5 x 9.8 m/s^2 = 24.5 m/s^2

Therefore, the weight of a 50 kg person on Jupiter would be:

weight = 50 kg x 24.5 m/s^2 = 1225 N

So a bathroom scale on Jupiter would show a weight of approximately 1225 newtons (N) for a 50 kg person

The weight of a 50 kg person on Jupiter can be calculated using the following formula:

Weight on Jupiter = Mass x Gravity on Jupiter

where the mass of the person is 50 kg and the gravity on Jupiter is 2.5 times that on Earth, which is approximately 24.79 m/s^2.

Weight on Jupiter = 50 kg x 24.79 m/s^2

Weight on Jupiter = 1239.5 N

Therefore, a bathroom scale would show a weight of 1239.5 Newtons for a 50 kg person on the upper surface of Jupiter's atmosphere.

The final angular frequency of the system is 3π/2 rad/s. Moment of inertia increased, frictional torque decreased angular momentum, conservation of energy equation used.

At the point when M1 is dropped onto M2, the two circles will be coupled together and pivot as a solitary framework. The complete precise force of the framework should be saved. At first, just M2 was turning with a precise recurrence of Wi = 6π rad/s, while M1 was very still, so the underlying rakish force was L = I2 * Wi, where I2 is the snapshot of dormancy of M2.

At the point when M1 is dropped onto M2, the snapshot of latency of the framework expands, so to preserve rakish energy, the precise recurrence of the framework should diminish. The last rakish recurrence can be tracked down utilizing the preservation of precise force condition: L = I1 * wf + I2 * wf, where I1 is the snapshot of dormancy of M1 and wf is the last rakish recurrence of the framework.

Since M1 is sliding on the unpleasant surface of M2, there is frictional power that goes against its movement. This frictional power creates a force on the framework, which makes the precise energy decline. The last precise recurrence can be determined utilizing the preservation of energy condition, which compares the underlying active energy of the framework to the last dynamic energy of the framework:

0.5 * I1 * 0^2 + 0.5 * I2 * (6π)^2 = 0.5 * (I1 + I2) * wf^2

Improving on the situation and tackling for wf, we get:

wf = 3π/2 rad/s

Thusly, the last rakish recurrence of the framework is 3π/2 rad/s.

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The diagram shows atoms with aligned magnetic fields, which means they are capable of producing a magnetic field themselves. The correct answer is option B.

This type of alignment is only found in materials that are magnetized, such as a refrigerator magnet. Steel nails and iron bars can also be magnetized, but they are typically only magnetic if they have been previously exposed to a magnetic field. Wood, on the other hand, is not capable of being magnetized as it does not have magnetic properties. Therefore, the diagram most likely represents a refrigerator magnet, which is made of a material that has been magnetized to produce a magnetic field. Option B is correct.

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Each time gravity pulls the man down 0.5 m, it does work of -367.5 J. This work is converted into kinetic energy as the man gains velocity while moving downwards.

The work performed by gravity pulling a man down 0.5 m after each step can be determined utilizing the recipe: work = force x distance x cos(theta), where power is the heaviness of the man (mass x speed increase because of gravity), distance is 0.5 m, and theta is the point between the course of power and the heading of movement (which is 180 degrees since the man is moving downwards).

Expecting the man has a mass of 75 kg, the weight can be determined as 75 kg x 9.8 m/s^2 = 735 N. In this way, the work done by gravity after each step is:

work = 735 N x 0.5 m x cos(180 degrees) = - 367.5 J

The negative sign demonstrates that the work done by gravity is the other way to the relocation of the man. In this way, each time gravity pulls the man down 0.5 m, it takes care of business of - 367.5 J. This work is changed over into active energy as the man acquires speed while moving downwards.

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The relative velocity of the car 2 with respect to car 1 is 70 m/s west. So, the correct option is C.

Velocity of the car 1 with respect to the ground, v₁ = 45 m/s west

Velocity of the car 2 with respect to the ground, v₂ = 25 m/s east

Let the direction towards the east be positive and the opposite direction towards the west be negative.

The expression for the relative velocity of the car 2 with respect to car 1 is given by,

v₂₁ = v₂ - v₁

v₂₁ = 25 - (-45)

Therefore, the relative velocity,

v₂₁ = 70 m/s west

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Attaching the image file here.

Answer:

As you travel up through the Earth's atmosphere, the composition of gases changes. Near the Earth's surface, the atmosphere consists mainly of nitrogen (about 78%) and oxygen (about 21%) with traces of other gases like carbon dioxide and argon. As you go higher, the amount of oxygen decreases, and the concentration of other gases becomes more prominent, such as helium, hydrogen, and ozone.

Answer:

C. Taste aversion can develop after only one pairing of a stimulus and response.

Explanation:

Taste aversion is a unique type of learned response where an individual develops a strong aversion or avoidance to a specific taste or food after a single pairing of that taste with a negative reaction, such as nausea or illness. This is in contrast to traditional conditioning, where multiple pairings of a stimulus and response are typically required for learning to occur. Taste aversion demonstrates a unique rapidity and specificity in its development, which deviates from the general principles of conditioning.

Approximately 0.123 kg of liquid water at 26 degrees Celsius would be needed to melt 41 grams of ice.

To calculate the minimum amount of liquid water required to melt 41 grams of ice at 0°C, we need to consider the energy required for the phase change from solid to liquid, which is known as the specific heat of fusion of ice.

The energy required to melt 1 kg of ice is 3.33×105 J/kg.

Therefore, the energy required to melt 41 grams of ice is (3.33×105 J/kg) × (41/1000) kg = 13653 J.

To calculate the amount of liquid water required, we use the specific heat capacity of water, which is 4180 J/kg/°C.

Assuming the initial temperature of water is 26°C, the amount of water needed can be calculated as (13653 J) ÷ (4180 J/kg/°C) ÷ (26°C) = 0.123 kg or approximately 123 ml of water.

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Answer:

Jim Crow Laws Effects.

User

What were Jim Crow laws? Your response should also describe at least two effects Jim Crow laws

had on the rights of Black Americans. (4 points)

ChatGPT

Jim Crow laws were a set of state and local laws in the United States, enacted between the 1870s and 1960s, that enforced racial segregation and discrimination against Black Americans. These laws were named after a popular 19th-century minstrel show character who stereotyped African Americans.

Two effects of Jim Crow laws on the rights of Black Americans were:

Limited access to public facilities: Jim Crow laws mandated that public spaces such as schools, parks, hospitals, and restaurants were segregated by race. Black Americans were often denied access to public spaces that were reserved for white people. This segregation limited the ability of Black Americans to participate fully in public life and access resources and opportunities that were available to white Americans.

Restricted voting rights: Jim Crow laws were used to disenfranchise Black Americans by making it difficult or impossible for them to vote. These laws included literacy tests, poll taxes, and other requirements that were designed to exclude Black Americans from voting. As a result, many Black Americans were unable to exercise their constitutional right to vote until the Voting Rights Act of 1965 was passed. This restriction on voting rights undermined the ability of Black Americans to participate fully in democracy and have their voices heard.

User

Gavin can type 1/2 page of his book report in 5 3/4 minutes what’s the typingrate

ChatGPT

To calculate Gavin's typing rate, we need to divide the amount he can type by the time it takes him to type it.

First, we need to convert the mixed number 5 3/4 into an improper fraction:

5 3/4 = (4 x 5 + 3)/4 = 23/4

Next, we can convert the mixed number 1/2 into an improper fraction:

1/2 = 2/4

Now, we can add the two fractions:

23/4 + 2/4 = 25/4

This means that Gavin can type 25/4 pages in 5 3/4 minutes.

To find Gavin's typing rate, we need to divide the amount he can type (25/4 pages) by the time it takes him to type it (5 3/4 minutes):

Typing rate = (25/4) / (5 3/4)

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:

Typing rate = (25/4) x (4/23)

Simplifying the fractions, we get:

Typing rate = 25/23

Therefore, Gavin's typing rate is 25/23 pages per minute.

a. To find the acceleration, we can use the equation:

acceleration = change in velocity / time taken

Here, the initial velocity is 0 m/s (since she starts from rest), the final velocity is 5 m/s, and the time taken is 10 s. Therefore:

acceleration = (5 m/s - 0 m/s) / 10 s = 0.5 m/s^2

So the acceleration of the girl on her bicycle is 0.5 m/s^2.

b. The average speed during the 10 s can be found by dividing the total distance traveled by the time taken. We don't know the distance traveled yet, so we can use another equation:

distance = (initial velocity x time taken) + (0.5 x acceleration x time taken^2)

Here, the initial velocity is 0 m/s, and the time taken is 10 s. We already calculated the acceleration in part (a) as 0.5 m/s^2. Plugging these values in, we get:

distance = (0 m/s x 10 s) + (0.5 x 0.5 m/s^2 x (10 s)^2) = 25 meters

So the girl traveled 25 meters in 10 seconds.

c. As the girl pedals, she applies force to the pedals, which in turn transfers the force to the rear wheel. This force drives the bicycle forward, causing it to gain speed. However, when the bicycle picks up speed, air resistance (also called drag) comes into play, which increases. Eventually, the force of air resistance becomes equal and opposite to the force that propels the bicycle forward. This means that the net force on the bicycle becomes zero, stopping its acceleration and reaching its maximum speed, known as the terminal velocity. Even if the girl pedals faster, she won't be able to increase her speed because the drag force counteracts the propelling force.

Doppler radars work by using radio waves that bounce off objects and thus the object can be tracked.

Doppler radars work by emitting a beam of energy from an antenna known as radio waves. The energy they release when they collide with airborne objects scatters in all directions, with some of it returning directly to the radar.

The quantity of energy returned to the radar increases with object size. We can now perceive raindrops in the atmosphere because of this.

The amount of time it takes for the energy beam to be delivered and returned to the radar also gives us the object's distance.

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In a case whereby the lowest pitch that the average human can hear has a frequency of 28.0 Hz sound with this frequency travels through air with a speed of 331M/S  the wave length is

Frequency refers to the number of vibrations measured each second. A wave is a collection of vibrations known as energy. The top node is referred to as the trough, and the bottom node as the crest.

λ = wave velocity/frequency

λ = 331 m/s / 28 Hz

λ = 11.82 m

As a result, the lowest pitch that a typical person can hear is at a frequency of 29 Hz. The wavelength of sound at this frequency is 11.82 m as it moves through air at a speed of 331 m/s.

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The weight of a person is less inside the deep cave​ because, the acceleration due to gravity decreases as we go down towards the depth.

Gravity is defined as the force that pulls a body towards the centre of the earth or any other mass-containing physical body.

Here,

Since weight is directly proportional to the acceleration due to gravity, it changes as we travel deeper inside the earth.

This is because as we travel deeper, the acceleration due to gravity also decreases. As a result, the weight decreases when the acceleration due to gravity decreases. Mass is constant; it doesn't change at all.

The gravitational field weakens, and your weight falls as you travel closer to the centre because there is progressive decrease in the acceleration due to gravity as, we go down towards the centre.

Hence,

The weight of a person is less inside the deep cave​ because, the acceleration due to gravity decreases as we go down towards the depth.

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The total distance traveled by the block in a one full or complete cycle is  2A.

option C.

If a block on the end of a spring is pulled to position x = A and released. In one full cycle of its motion, it will travel the following distance as shown below;

x = A cos (ωt)

where;

During a half cycle the block will travel a total distance of A.

During another half cycle the block will travel a total distance of A.

The total distance traveled by the block in a one full or complete cycle is calculated as follows;

distance = A + A

distance = 2A

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The term that best describes translational motion along a curved line is option B. curvilinear.

The translational motion refers to the movement of an object in a straight line, where all points of the object move parallel to each other. However, when the motion occurs along a curved path, such as a circle, arc, or any other non-linear trajectory, it is referred to as curvilinear motion.

In curvilinear motion, the object follows a curved path, and the velocity and acceleration vectors change direction as the object moves along the curve. This is different from rectilinear motion, which refers to motion in a straight line.

The rotational motion refers to the movement of an object around an axis or a point, such as the spinning of a wheel or the rotation of a planet. Rotational motion involves objects rotating around a fixed axis rather than moving along a curved line.

General is a broad term that does not specifically describe the type of motion along a curved line. It does not provide any specific information about the nature or characteristics of the motion. Therefore, the correct answer is option B.

The Question was Incomplete, Find the full content below :

Which of the following terms best describes translational motion along a curved line?

A. rectilinear

B. curvilinear

C. rotational

D. general

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Okay, here are the steps to calculate the full distance traveled when an object is thrown at a certain speed and angle:

You have the initial velocity (v): 35 m/s

You have the launch angle (θ): 45 degrees

We need to split the initial velocity into its horizontal (vx) and vertical (vy) components.

To calculate vx (horizontal component):

vx = v * cosθ

vx = 35 * cos(45) = 24.7 m/s

To calculate vy (vertical component):

vy = v * sinθ

vy = 35 * sin(45) = 24.7 m/s

We can calculate the horizontal distance (d) traveled using:

d = vx * t (where t is time)

Since there is no air resistance, the vertical velocity (vy) will remain constant. This means the time the object is in the air is:

t = vy / g (where g is acceleration due to gravity, 9.8 m/s^2)

t = 24.7 / 9.8 = 2.52 seconds

Now we can calculate the full horizontal distance traveled:

d = vx * t

d = 24.7 * 2.52

= 62.3 meters

So the full distance the object will travel when thrown at 35 m/s at a 45 degree angle is approximately 62 meters.

Let me know if you have any other questions!

Answer:

To calculate the full distance traveled by an object thrown at a velocity of 35 m/s at an angle of 45 degrees, we need to consider the horizontal and vertical components of the motion separately.

The horizontal component of the motion remains constant throughout the trajectory and is given by:

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

In this case, the initial velocity is 35 m/s, the angle is 45 degrees, and we need to find the time of flight.

The time of flight can be calculated using the vertical component of the motion. The vertical motion can be described using the equation:

Vertical displacement = (Initial velocity * sin(angle))^2 / (2 * acceleration)

Where the initial velocity is 35 m/s, the angle is 45 degrees, and the acceleration is the acceleration due to gravity, approximately 9.8 m/s^2.

The vertical displacement is zero at the highest point of the trajectory since the object comes back down to the same height it was launched from. So we can solve the equation for the time of flight.

Using these calculations, we can find the horizontal distance traveled by the object.

Let's calculate step by step:

Step 1: Calculate the time of flight

Vertical displacement = 0 (at the highest point)

0 = (35 * sin(45))^2 / (2 * 9.8)

0 = (24.75^2) / 19.6

0 = 616.0125 / 19.6

0 = 31.43

Step 2: Calculate the time of flight

Vertical displacement = (Initial velocity * sin(angle)) * time - (1/2) * acceleration * time^2

0 = (35 * sin(45)) * time - (1/2) * 9.8 * time^2

0 = 24.75 * time - 4.9 * time^2

4.9 * time^2 - 24.75 * time = 0

time * (4.9 * time - 24.75) = 0

time = 0 (initial point) or 24.75 / 4.9

time = 5.05 seconds

Step 3: Calculate the horizontal distance

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

Horizontal distance = 35 * 5.05 * cos(45)

Horizontal distance = 35 * 5.05 * (sqrt(2)/2)

Horizontal distance = 88.96 meters

Answer:

reflect the light

refract the light

The skier was initially going at 8.046 m/s velocity.

Assume that the skier's initial velocity is v.

The skier travelled 22 metres before coming to a stop.

The kinetic friction coefficient between the skier and the snow is 0.15.

The force of friction acting on the skier is given by:

friction = coefficient of friction multiplied by normal force

The normal force is equal to the weight of the skier, which can be calculated as:

weight = mass x gravity

Assuming the mass of the skier to be m and the acceleration due to gravity to be g, we get:

weight = m x g

The force of friction can then be calculated as:

friction = 0.15 x m x g

The work done by the force of friction is equal to the initial kinetic energy of the skier, which can be expressed as:

work done by friction = 0.5 x m x [tex]v^2[/tex]

Equating the work done by friction to the initial kinetic energy, we get:

0.5 x m x [tex]v^2[/tex] = 0.15 x m x g x 22

Simplifying the equation, we get:

[tex]v^2[/tex] = 2 x 0.15 x 9.8 x 22

When we take the square root of both sides, we get:

v = 8.046 m/s

As a consequence, the skier began moving at 8.046 m/s.

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