If the roller coaster car at the top of the 95.0 m drop hill has a speed of 2.25 m/s, (a) what willbe its speed at the bottom of the hill if we assume that net work done by non-conservativeforces is zero? (b) Given that the actual speed of the roller coaster car at the bottom of thedrop hill is 40.5 m/s. How much work did the non-conservative forces do in going from thetop of the hill to the bottom of the hill? Given that the mass is 725 kg. (c) Include a sketch ofthe situation. [Diagram 2 pts.]

Step 1: Step 2: Step 3: Step 4:

Answered: If the roller coaster car at the top of…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Suppose the ski patrol lowers a rescue sled and victim, having a total mass of 90.0 kg, down a ? = 62.0° slope at constant speed, as shown in the figure. How much work is done (in J) by friction as the sled moves 30.0 m along the hill? How much work is done (in J) by the rope on the sled in this distance? What is the work done (in J) by gravity on the sled? What is the total work done (in J)?
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A roller-coaster car of mass 1.50 × 103 kg is initially at the top of a rise at point Ⓐ. It then moves 35.0 m at an angle of 50.0° below the horizontal to a lower point Ⓑ. (a) Find both the potential energy of the system when the car is at points Ⓐ and Ⓑ and the change in potential energy as the car moves from point Ⓐ to point Ⓑ, assuming y = 0 at point Ⓑ. (b) Repeat part (a), this time choosing y = 0 at point Ⓒ, which is another 15.0 m down the same slope from point Ⓑ.
A force of 17 Ib is required to hold a spring stretched 3 in. beyond its natural length. How much work W is done in stretching it from its natural length to 9 in. beyond its natural length?
A one-dimensional force has the form F(x) = A x2-Bx where A =1.8 N/m2 and B = 0.65 N/m. How much work is done by the force in moving a 1.2 kg box from x = 0.78 m to x = 2.4 m? Enter your answer in Joules.
A factory worker pushes a 30.0 kg crate a distance of 3.7 m along a level floor at constant velocity by pushing downward at an angle of 30∘ below the horizontal. The coefficient of kinetic friction between the crate and floor is 0.25. How much work is done on the crate by this force when the crate is pushed a distance of 3.7 m? How much work is done by the normal force? How much work is done by gravity? What is the total work done on the crate?
A man starts at ground level and carries a 20 kg box up a flight of stairs to a height of 3.6 m. He then carries the box down an adjacent flight of stairs back to ground level and ends up 10 m away from where he started. What is the total amount of work the man has done? Explain
When a book slides along a tabletop, the force of friction does negative work on it. Can friction ever do positive work? Explain. (Hint: Think of a box in the back of an accelerating truck.)
A 0.32-kg particle has a speed of 5.0 m/s at point A and kinetic energy of 8.1 J at point B. (a) What is its kinetic energy at A? (b) What is its speed at point B? m/s (c) What is the total work done on the particle as it moves from A to B?
The net horizontal force on a box F as a function of the horizontal position x is shown below. What is the work done on the box from x = 0 m to 2.0 m?Round answer to two significant digits.
A Sled and rider with a total mass of 40 kg are perched at the top of a hill as pictured in the diagram. the top of this hill is 40 m above the low point in the path of the sled. a second hump in the hill is 30 m above the low point. Suppose that we also know approximately 2000 J of work is done against friction as the sled travels between these two points. What is the maximum height that the second hump could be in order for the sled to reach the top, assuming that the same work against friction will be involved and that no initial push is provided?
A cat’s crinkle ball toy of mass 15 g is thrown straight up with an initial speed of 3 m/s . Assume in this problem that air drag is negligible. (a) What is the kinetic energy of the ball as it leaves the hand? (b) How much work is done by the gravitational force during the ball’s rise to its peak? (c) What is the change in the gravitational potential energy of the ball during the rise to its peak? (d) If the gravitational potential energy is taken to be zero at the point where it leaves your hand, what is the gravitational potential energy when it reaches the maximum height? (e) What if the gravitational potential energy is taken to be zero at the maximum height the ball reaches, what would the gravitational potential energy be when it leaves the hand? (f) What is the maximum height the ball reaches?

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