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Knee i WLL End of Foot (Toes) Ankle 9) Consider a block of mass m = 50 kg which is being pulled on a rough, horizontal surface by a person using a rope. Assume that the person is applying a constant force of T = 150 N on the block, the rope makes an angle 0 with the horizontal. Assumptions: The block starts from rest Both the static and kinetic coefficient of friction between the block and the horizontal surface is u = 0.2 The person pulls at a constant force for a total of 30 seconds а. What angle of pull would create the greatest horizontal acceleration of the block? (Answer: 0 = 11.3°) At this maximum acceleration: b. What is the block's position and velocity at t = 30 seconds? (Answer:x 494m, v = 32.9m/s) С. How much work does the person do on the block? (Answer: W=72.6kJ) d. How much work does the frictional force do on the block? (Answer: W=-45.5kJ) е. Use the work-energy theorem to confirm your calculation for the block's velocity. (Answer: v = 32.9 m/s-confirmed)

Knee i WLL End of Foot (Toes) Ankle 9) Consider a block of mass m = 50 kg which is being pulled on a rough, horizontal surface by a person using a rope. Assume that the person is applying a constant force of T = 150 N on the block, the rope makes an angle 0 with the horizontal. Assumptions: The block starts from rest Both the static and kinetic coefficient of friction between the block and the horizontal surface is u = 0.2 The person pulls at a constant force for a total of 30 seconds а. What angle of pull would create the greatest horizontal acceleration of the block? (Answer: 0 = 11.3°) At this maximum acceleration: b. What is the block's position and velocity at t = 30 seconds? (Answer:x 494m, v = 32.9m/s) С. How much work does the person do on the block? (Answer: W=72.6kJ) d. How much work does the frictional force do on the block? (Answer: W=-45.5kJ) е. Use the work-energy theorem to confirm your calculation for the block's velocity. (Answer: v = 32.9 m/s-confirmed)

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Knee WLL End of Foot (Toes) Ankle 9) Consider a block of mass m = 50 kg which is being pulled on a rough, horizontal surface by a person using a rope. Assume that the person is applying a constant force of T = 150 N on the block, the rope makes an angle 0 with the horizontal. Assumptions: The block starts from rest Both the static and kinetic coefficient of friction between the block and the horizontal surface is u 0.2 The person pulls at a constant force for a total of 30 seconds а. What angle of pull would create the greatest horizontal acceleration of the block? (Answer: 0 = 11.3°) At this maximum acceleration: b. What is the block's position and velocity att = 30 seconds? (Answer: x = 494m , v = 32.9m/s) C. How much work does the person do on the block? (Answer: W=72.6kJ) d. How much work does the frictional force do on the block? (Answer: W=-45.5k J) е. Use the work-energy theorem to confirm your calculation for the block's velocity. (Answer: v = 32.9 m/s – confirmed)
Transcribed Image Text:Knee WLL End of Foot (Toes) Ankle 9) Consider a block of mass m = 50 kg which is being pulled on a rough, horizontal surface by a person using a rope. Assume that the person is applying a constant force of T = 150 N on the block, the rope makes an angle 0 with the horizontal. Assumptions: The block starts from rest Both the static and kinetic coefficient of friction between the block and the horizontal surface is u 0.2 The person pulls at a constant force for a total of 30 seconds а. What angle of pull would create the greatest horizontal acceleration of the block? (Answer: 0 = 11.3°) At this maximum acceleration: b. What is the block's position and velocity att = 30 seconds? (Answer: x = 494m , v = 32.9m/s) C. How much work does the person do on the block? (Answer: W=72.6kJ) d. How much work does the frictional force do on the block? (Answer: W=-45.5k J) е. Use the work-energy theorem to confirm your calculation for the block's velocity. (Answer: v = 32.9 m/s – confirmed)
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