1. When .x=0, the spring is unstretched. For the motion when initially x₁ = 100 mm to the moment when .x2 = 200 mm, find a. the work done by gravity by integrating W-dr b. the change in gravitational potential energy the work done by the spring on the block by integrating F, dr c. d. the change in potential energy in the spring 4 kN/m 7 kg 20⁰

1. A 50 kg sled is pushed by applying a force F = 400 N, as shown, with = 30°. The surface is rough with 4 =.4. If the sled is being displaced a distance of 60 m, find the work done on the sled by: a. An applied force F. b. The dissipative force. c. The normal force. d. The weight. F. e. The net force.

16. A force of 5.0 N acts on a 15 kg body initially at rest. Compute the work done by the force in (a) the first, (b) the second, and (c) the third seconds and (d) the instantaneous power due to the force at the end of the third second. 17. What is the spring constant of a spring that stores 25 I

1. A 1.75 kg ball rolls down an incline into a spring. The ball starts from rest at a height of 3.10 m above the spring and the spring constant is 185 m a. If the spring is compressed 65 cm when the ball comes to rest against the spring, was energy conserved? b. How much work was done by non-conservative forces in this case? c. How far would the spring be compressed if the work done by non-conservative forces was zero?

The Potential energy stored in a car Shock Absorber which is compressed by 20 cm is 50 J. The Spring constant of the Shock Absorber is O a. 500 N/m O b. 2500 N/m O c. 625 N/m O d. 5000 N/m

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A simple pendulum swings back and forth in a circular path. Including the effects of air resistance, determine which statement is true. There may be more than one correct answer. A. After the pendulum is released, it will never return to its original height. B. The total linear acceleration vector always points towards the center of the circular path as the pendulum swings back and forth. C. The work done by air resistance is always negative as the pendulum swings back and forth D. The work done by the tension force is always zero as the pendulum swings back and forth E. The gravitational force always produces a counterclockwise torque as the pendulum swings back and forth.

1.What was the effect on the skater's maximum potential energy when he was placed further down the ramp? Explain why this happened. 2.What was the effect on the skater's maximum kinetic energy when he was placed further down the ramp? Explain why this happened.

1. A 12.0 kg block is released from rest on a 30.00 rough incline. The kinetic coefficient of friction is Hk = 0.100. Below the block is a spring that can be compressed 3.00 cm by a force of 2.50x10- N. The kinetic energy of the block just before it hits the spring is 2.50x102 J. a) Draw a free body diagram while the block is compressing the spring. b) What is the kinetic frictional force? c) By how much is the spring compressed when the block momentarily stops? 12 kg 30

Question 6 When a student stretches a spring, what is the flow of energy? a. Energy goes into the spring and into the student. X b. There is no change in the energy of the spring, only for the student. c. There is no change in the energy of the student, but there is a change for the spring. d. Envery leaves the spring and goes to the student. e. Energy goes into the spring from the student.