1. If the kinetic energy of a particle is tripled, by what factor has its speed increased? The speed is Multiplied by a factor= B) If the speed of a particle is decreased by a factor of three, by what factor does its kinetic energy change? the kinetic energy is multiplied by a factor=

47.A particle of mass 4.0 kg is constrained to move along the x-axis under a single force F(x)=-cx³, where c= 8.0 N/m³. The particle's speed at A, where x = 1.0 m, is 6.0 m/s. What is its speed at B, where x = -2.0 m? Solution

A woman runs up a flight of stairs. The gain in her gravitational potential energy is 1000 J. If she runs up the same stairs at half the speed, her gain in gravitational potential energy will be . . .  Group of answer choices 500 J 2000 J 100 J 1000 J

The driver of a 760.0 kg car decides to double the speed from 21.1 m/s to 42.2 m/s. What effect would this have on the amount of work required to stop the car, that is, on the kinetic energy of the car? KE x 105 J KE = × 105 J (select) v times as much work must be done to stop the car.

A 0.2 kg ball is resting on edge of the top of a 1 m height table. Does the ball have kinetic energy? Explain. Does the ball have potential energy? What is the value of its potential energy? If the ball falls off the table, what happens to its potential energy and kinetic energy during this falling? Which increases/decreases?

4. The speed of a 1600 kg car increases uniformly from 20 m/s to 30 m/s. (a) What is the increase in its kinetic energy? (b) If the acceleration increases over a distance of 50 m, what force is accelerating the car?

Point Height (y) (m) Speed (v) (m/s) Potential Energy (J) Kinetic Energy (J) Mechanical Energy (round off to the nearest thousands) A 8 m 0 m/s 3430 J 0 J 3000 J B 3 m 8.8 m/s 1470 J 1936 J 3000 J C 2 m 9.9 m/s 980 J 2450 J 3000 J   - Calculate the ratio of the mechanical energy at B and mechanical energy at A (EB/EA) and (EC/EB). What do these ratios tell you about the conservation of energy? - Is the mechanical energy conserved between A and B? Explain. - Is the mechanical energy conserved between B and C? Explain