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This document presents a series of physics problems from PHYS 101, covering fundamental concepts of work and energy in motion. Topics include calculating work done by a shopper pushing a cart, analyzing kinetic energy of a baseball at its peak height, determining the drop height for a ball to achieve a specific speed, and evaluating the maximum height of an athlete on a trampoline. Additional problems explore mechanics related to pole vaulting, skiing, and the motion of objects on frictionless tracks. Each problem encourages a deep understanding of energy transformations.
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A shopper in a supermarket pushes a cart with a force of 35 N directed at an • angle of 25 downward from the horizontal. Find the work done by the shopper • as she moves down a 50-m length of aisle. PHYS 101, Chapter 5 Homework
2. An outfielder throws a 0.150-kg baseball at a speed of 40.0 m/s and an initial angle of 30.0°. What is the kinetic energy of the ball at the highest point of its motion? PHYS 101, Chapter 5 Homework
3. Find the height from which you would have to drop a ball so that it would have a speed of 9.0 m/s just before it hits the ground. PHYS 101, Chapter 5 Homework
4. An athlete on a trampoline leaps straight up into the air with an initial speed of 9.0 m/s. Find (a) the maximum height reached by the athlete relative to the trampoline and (b) the speed of the athlete when she is halfway up to her maximum height. PHYS 101, Chapter 5 Homework
5. A 50-kg pole vaulter running at 10 m/s vaults over the bar. Her speed when she is above the bar is 1.0 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her altitude as she crosses the bar. PHYS 101, Chapter 5 Homework
6. A skier of mass 70 kg is pulled up a slope by a motor-driven cable. • How much work is required to pull him 60 m up a 30° slope (assumed • frictionless) at a constant speed of 2.0 m/s? (b) What power must a motor • have to perform this task? PHYS 101, Chapter 5 Homework
7. In this figure, a bead of mass 100 grams is on a track and is initially at rest at a height of 1.0 m. The blue portion of this track is frictionless. (a) What is the speed of the bead at the first hill (h/2). (b) Assuming the orange portion of the track is frictionless, to what height does the bead rise before stopping on the right-hand side? PHYS 101, Chapter 5 Homework