10. For the Atwood's machine shown. Initially mass m2 is moving upward with initial velocity 0.74 m/s. Solve this using the work and energy equation. a) How fast is the system moving just before mass m2 hits the ground h = 0.34 m below its starting point? (Note: it goes up, then back down again. Assume neither mass hits the pulley; assume mi does not hit the ground.) b) What is the kinetic energy of the system just before mass m2 hits the ground? %3D

A diver of mass 68 kg stands on a diving board 5.0 m above a pool. At the moment of the jump, the diving board transfers its 3400 J of energy to the diver, who leaves the board at an angle of 35°. a. What is the speed of the diver just before they enter the water? b. Suppose that when the diver enters the water, they experience an acceleration of a->water= +4 m/ss J. What is the minimum depth of the pool necessary so that this diver comes to rest exactly at the bottom of the pool

What is the Kinetic Energy ? Cart Mass, mc  . 284 kg Angle, θ 49 degrees Distance, d . 75 m Suspended Mass . 320 kg Velocity 1 1.48 m/s Velocity 2 1.43 m/s Velocity 3 1.487 m/s Average Velocity 1.466 m/s

A 260 g particle in a semi-spherical bowl of radius 0.6 m is released from rest at point A at the level of the center of the bowl, and the surface of the bowl is rough. The speed of the particle at B is 2 m/s. The acceleration of gravity is 9.8 m/s2 . a)What is its kinetic energy at B? b)What is the magnitude of the energy lost due to friction as the particle moves from A to B?

A crate with mass m = 33.3 kg being pushed up an incline that makes an angle φ = 22.7 degrees with horizontal. The pushing force is horizontal, with magnitude P, and the coefficient of kinetic friction between the crate and the incline is μ = 0.358. Consider the work done on the crate as it moves a distance d = 5.32 m at constant speed. a. What is work done by the pushing force, in joules?  b. What is the work done by friction, in joules?  c. What is the work done by gravity, in joules?  d. What is the net work, in joules?

A 500 kg cart rests atop a hill 30.0 m high on a roller coaster. Its gravitational potential energy is measured relative to the bottom of the hill. The cart then rolls down the hill. Which of these best describes what is happening in this situation?   a. the total mechanical energy of the cart is decreasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is increasing   b. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is increasing   c. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is decreasing   d. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is decreasing, and the gravitational potential energy of the cart is increasing   e. the total mechanical energy of…

A 7.0 kg bowling ball moves at 2.35 m/s. How fast must a 2.20 g Ping-Pong ball move so that the two balls have the same kinetic energy? m/s

2 W S X In a hydroelectric dam, water falls 35 m and then spins a turbine to generate electricity. 3 E D 80 C $ 4 R 888 F V 96 5 T G ^ 6 B ▾ Part A What is AU of 1.0 kg of water? Express your answer with the appropriate units. View Available Hint(s) AU= -340 J Y Submit ▾ Part B ✓ Correct SOLVE: The change in the potential energy of 1.0 kg of water in falling 35 m m is H Suppose the dam is 80% efficient at converting the water's potential energy to electrical energy. How many kilograms of water must pass through the turbines each second to generate 48 MW of electricity? This is a typical value for a small hydroelectric dam. Express your answer in kilograms per second. ▸ View Available Hint(s) m 11s AU, -mgh=-(1.0 kg) (9.8 m/s²) (35 m) = -340 J = = Provide Feedback Submit MacBook Air Previous Answers & 7 N IG] ΑΣΦ | 3-4 U * 8 D-H I M @ JK ( 9 MOSISO DD O I भ ? O L kg/s command F10 P > ; C option + ? T I Next > delete re

A particle of mass m has a velocity of v = (v₂i + vj + v₂k). What is the correct expression for its kinetic energy? O a. O b. O c. O d. O e. m(v2i+vy²j + v₂²k)/2 None of these choices. m(vx2 + Vy² + V₂²)/2 m/2(2vx + 2Vy + 2V₂) m/2(2v,i + 2vj + 2v₂k)

Consider the table.   Vehicle 1 Vehicle 2 Vehicle 3 Vehicle 4 Mass (kg) 1000 2000 1000 2000 Velocity (m/s) 20 20 40 40 Kinetic energy (kJ) 200 400 800 1600 The table shows data collected for some vehicles on the road. What conclusion can be drawn about the relationship between mass, velocity, and kinetic energy?   Answer Choices: a. If only the mass of the vehicle doubles, the kinetic energy increases by a factor of four. b. If both the mass and the velocity of the vehicle double, the kinetic energy will increase by a factor of eight. c. If only the velocity of the vehicle doubles, the kinetic energy will double. d. If both the mass and the velocity of the vehicle double, the kinetic energy will increase by a factor of four.