Q4. The figure below shows a 500 gram block of wood falling from a certain height. KE: :0 - V, =0 PE, =mgh| a.Formulate an equation relating the velocity of the object to the distance it is halfway between hi and htby using the equations for kinetic and potential energY. wwwm b.Use the formula to find the velocity of the object when it has fallen between hiand ht. Choose your own values which should be physically possible. KE, = my V, >0 PE, = mgh,

Q4. The figure below shows a 500 gram block of wood falling from a certain height. KE: :0 - V, =0 PE, =mgh| a.Formulate an equation relating the velocity of the object to the distance it is halfway between hi and htby using the equations for kinetic and potential energY. wwwm b.Use the formula to find the velocity of the object when it has fallen between hiand ht. Choose your own values which should be physically possible. KE, = my V, >0 PE, = mgh,

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter3: Energy And Conservation Laws

Section: Chapter Questions

Problem 28P: . The fastest that a human has run is about 12 m/s. (a) If a pole vaulter could run this fast and...

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. The fastest that a human has run is about 12 m/s. (a) If a pole vaulter could run this fast and convert all of her kinetic energy into gravitational potential energy, how high would she go? (b) Compare this height with the world record in the pole vault.
A student has the idea that the total work done on an object is equal to its final kinetic energy. Is this idea true always, sometimes, or never? Ii it is sometimes true, under what circumstances? If it is always or never true, explain why.
Integrated Concepts (a) What force must be supplied by an elevator cable to produce an acceleration of 0.800 m/s2 against a 200-N frictional force, if the mass of the loaded elevator is 1500 kg? (b) How much work is done by the cable in lifting the elevator 20.0 m? (c) What is the final speed of the elevator if it starts from rest? (d) How much work went into thermal energy?
(a) Calculate the work done on a 1500-kg elevator car by its cable to lift it 40.0 m at constant speed, assuming friction averages 100 N. (b) What is the work done on the lift by the gravitational force in this process? (c) What is the total work done on the lift?
. A bicycle and rider going 10 m/s approach a hill. Their total mass is 80 kg. (a) What is their kinetic energy? (b) If the rider coasts up the hill without pedaling, how high above its starting level will the bicycle be when it finally rolls to a stop?
If you run down some stairs and stop, what happens to your kinetic energy and your initial gravitational potential energy?
In Chapter 7, the work-kinetic energy theorem, W = K, was introduced. This equation states that work done on a system appears as a change in kinetic energy. It is a special-case equation, valid if there are no changes in any other type of energy such as potential or internal. Give two or three examples in which work is done on a system but the change in energy of the system is not a change in kinetic energy.
Suppose a car travels 108 km at a speed of 30.0 m/s, and uses 2.0 gal of gasoline. Only 30 of the gasoline goes into useful work by the force that keeps the car moving at constant speed despite friction. (The energy content of gasoline is about 140 Mi/gal.) (a) What is the magnitude of the force exerted to keep the car moving at constant speed? (b) If the required force is directly proportional to speed, how many gallons will be used to drive 108 km at a speed of 28.0 m/s?
A single force F(x)=4.0x (in newtons) acts on a 1.0-kg body. When x=3.5 m, the speed of the body is 4.0 m/s. What is its speed at x = 2.0 m?
the height of the Iguazu Falls is 82 m. A log of wood with mass 1350 kg moves at 7ms -1 in the water and tumbles over the falls. Answer these b. Calculate the kinetic energy of the log before it falls over the edge. c. Calculate the GPE of the log before it falls over the edge. d. Hence, calculate the total energy before the log falls over the edge.
4. A 1000 kg-roller-coaster car ahown in figure is pulled up to point 1 where it is released from rest. Assuming no friction. a. What is the mechanical energy of the roller-coaster car? b. calculate the speed of the roller-coaster car at points 2. c. calculate the speed of the roller-coaster car at points 3. d. calculate the speed of the roller-coaster car at points 4.
A swimmer is on the too of platform which is 10 meters high to prepare himself for the dive. At his location relative to the water surface, his energy is 5,300 Joules. What is his kinetic energy as he approach the water? A. 0J B. 530J C. 5,300J D. It cant be determine bec mass of swimmer is unknown