1. A person is standing on a building with a height h. His mass is m and acceleration due to gravity is g. (a) Draw a free body diagram of the person and indicate all the forces on him. (b) Find the magnitude of the velocity of the person after he jumps from the building reaching a height x above the ground. (c) from a height and lands on their feet, the jumper always bends the knee a bit. Compute the force felt by the jumper when he comes to rest on the ground. Also, can you comment on what happens if someone does not bend their knees when jumping from high altitude? Show a mathematical reasoning behind your comment. We all know from our day-to-day life experience that when someone jumps

1. A person is standing on a building with a height h. His mass is m and acceleration due to gravity is g. (a) Draw a free body diagram of the person and indicate all the forces on him. (b) Find the magnitude of the velocity of the person after he jumps from the building reaching a height x above the ground. (c) from a height and lands on their feet, the jumper always bends the knee a bit. Compute the force felt by the jumper when he comes to rest on the ground. Also, can you comment on what happens if someone does not bend their knees when jumping from high altitude? Show a mathematical reasoning behind your comment. We all know from our day-to-day life experience that when someone jumps

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 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...

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42. A block initially at rest slides down a ramp of length L that makes an angle of θ with the horizontal. (a) Derive an equation that predicts the time required for the block to reach the bottom of the ramp in terms of L, θ, g, and μ, the coefficient of friction. (b) This derived equation has no real solutions for angles θ ≤ tan–1 (μ). Show algebraically this is the case and explain the physical significance of this – i.e. what does this mean about an actual block on an actual ramp with actual friction?
Mary applies a force of 77 N to push a box with an acceleration of 0.55 m/s2. When she increases the pushing force to 85 N, the box's acceleration changes to 0.71 m/s2. There is a constant friction force present between the floor and the box. (a) What the mass of the box in kilograms? kg (b) What is the coefficient of kinetic friction between the floor and the box?
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A cyclist is coasting at 18 m/s when she starts on a 450 m long slope that is 40 m high. The cyclist and her bicycle have a combined mass of 75 kg. A steady 15 N drag force due to air resistance acts on her as she coast all the way down to the bottom. a) Draw a useful picture depicting this situation. Clearly label all lengths and relevant vector quantities (velocity, force). b) How much enercy does the cyclist have at the top of the slope? c) How much work does the drag on the cyclist as she goes down the slope? Clearly indicate sign of work. d) What is the cyclist's speed at the bottom of the slope?
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