4) The graph below shows the force exerted on a rocket-propelled cart on a frictionless track as a function of position. The cart has two rocket engines. One points to the right, which we will call the positive direction. The other points to the left, the negative direction. The cart, which has a mass of 2.3 kg, starts at a position of 0 meters with a velocity to the right of 20 m/s. Force (Newtons) 400 300 200 100 0 -200 -300 0 2 4 6 8 10 12 14 16 18 20 22 24 Position (meters) a) How much kinetic energy does the cart have at x=12 meters? b) How much kinetic energy does the cart have at x=20 meters? c) What is the cart's speed at x=20 meters?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.54P: A potato of mass 0.5 kg moves under Earth’s gravity with an air resistive force of −kmv. (a) Find...
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4) The graph below shows the force exerted on a rocket-propelled cart on a
frictionless track as a function of position. The cart has two rocket engines. One
points to the right, which we will call the positive direction. The other points to
the left, the negative direction. The cart, which has a mass of 2.3 kg, starts at a
position of 0 meters with a velocity to the right of 20 m/s.
Force (Newtons)
400
300
200
100
0
-100
-200
-300
0
2
4
6
8
10 12 14 16 18
Position (meters)
a) How much kinetic energy does the cart have at x=12 meters?
b) How much kinetic energy does the cart have at x=20 meters?
20 22 24
c) What is the cart's speed at x=20 meters?
Transcribed Image Text:4) The graph below shows the force exerted on a rocket-propelled cart on a frictionless track as a function of position. The cart has two rocket engines. One points to the right, which we will call the positive direction. The other points to the left, the negative direction. The cart, which has a mass of 2.3 kg, starts at a position of 0 meters with a velocity to the right of 20 m/s. Force (Newtons) 400 300 200 100 0 -100 -200 -300 0 2 4 6 8 10 12 14 16 18 Position (meters) a) How much kinetic energy does the cart have at x=12 meters? b) How much kinetic energy does the cart have at x=20 meters? 20 22 24 c) What is the cart's speed at x=20 meters?
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