Type: Single Objective: Date: ______________ Work-Energy Review Homework: Study for Test #4: Work-Energy AP Physics Date ___________ Mr. Mirro Work-Energy Review 1. When a certain rubber band is stretched a distance X, it exerts a restoring force of magnitude F = AX, where A is the elastic constant for the rubber band. The work done by a person in stretching this rubber band from X = 0 to X = L is: a) (AX)L b) A + 2L c) A + 2X d) (AX2) 2 e) (AL2) 2 2. Which of the following objects has the largest kinetic energy ? a) mass 3M b) mass 3M and speed 2V c) mass 2M and speed 3V d) mass M and speed 4V e) all have the same kinetic energy 3. As shown, a ball placed at point P of one end of a rough circular track is released from rest and slides past the bottom of the track. Which is true of the height to which the block rises on the other side of the track ? a) it is equal to h/2 pi b) it is equal to h/4 c) it is equal to h/2 d) it is equal to h e) it is between 0 and h, the exact height depends on how much energy is transferred to friction P h 4. As shown, an escalator is used to move 20 people (60 kg each) per minute from the first floor of a department store to the second, 5 m above. The power to do so is closest to: a) 100 W b) 200 W c) 1000 W d) 2000 W e) 60,000 W 5m 30 5. The simple pendulum shown consists of a 2 kg mass attached to a string. When it is released from rest at X, what is its speed at its lowest point, Y ? d a) 0.90 m/s b) 3.6 m/s c) 3.6 m/s d) 6.0 m/s e) 36.0 m/s X 1.85 m Y 6. As shown, a 100 N block is towed up a 200 m incline at constant speed with force of 71 N. The amount of thermal energy produced for the entire ascent is: a) 2100 J b) 2900 J c) 4200 J d) 13,200 J e) 14,200 J 71 N 100 m 30 7. A 4.0 kg mass hangs on a spring and stretches it 0.05 m. The spring is then cut exactly in half. The same 4.0 kg mass, when hung on this cut spring, will cause the spring to be stretched: a) 0.05 m b) 0.025 m c) 0.10 m d) 0.20 m e) 0.40 m 8. A block of mass m slides on a horizontal frictionless table with an initial speed v. It then hits and compresses a spring whose force constant is k, and is then brought to rest (it does not oscillate). How much is the spring compressed from its original, equilibrium position ? a) v 2 2g b) mgv k c) mv k d) v m k e) v k m 9. The work done by gravity during the decent of a projectile is: a) positive b) negative c) zero d) sign depends on the direction of the y-axis e) sign depends on the direction of the x-axis 10. A block at point P is released from rest and slides down along the frictionless track as shown. At point Q, its speed is: P a) (H - h) b) 2g (H - h) d) 2g (H - h) c) (H - h) e) (H – h)2 2g 2g Q H h ground level 11. As shown, a 4.0 kg block rests on a flat, frictionless table and is attached to a massless spring which obey’s Hooke’s Law. When a force of 20.0 N is applied to the spring-block “system,” the spring compresses to 5.0 cm (?? meters) to the left. a) On the axis below, plot the spring’s restoring force as a function of spring compression and elongation for values of x from –5.0 cm to +5.0 cm. It is not necessary to show your work for this part. 4.0 kg -5.0 cm F = 20 N 0.0 cm (equilibrium) F (N) x (cm) b) From your plot, determine the work done on the spring during its compression from –5.0 cm to its equilibrium position. c) If the block is released from rest at -5.0 cm, determine the block’s speed as it goes through equilibrium. d) Carefully describe how the addition of a friction force on the surface will affect your answer to part (c). Explain in detail without calculations.
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