The Kingda Ka is the tallest rollercoaster, standing at an astounding 456 meters! Wow! Suppose you are on the top of Kingda Ka, in a cart that has a mass of 4500 kg. What would your velocity be when you reach the bottom of the hill (assume there is no air friction, and the bottom of the hill is at ground level).      Given the same situation as before, what is the work done by gravity on the roller coaster cart as it travels from the top of the hill to the bottom of the hill.

A 10 kg barbell is rolling down a hill. There is no friction or air resistance acting on it, only the force of gravity. If it starts out moving 2 ms1, and ends up moving 7 ms1, then how much work does gravity do on it?

A 0.59-kg particle has a speed of 5.0 m/s at point A and kinetic energy of 8.5 J at point B. (a) What is its kinetic energy at A? J(b) What is its speed at point B? m/s(c) What is the total work done on the particle as it moves from A to B? J

In the arrangement of the first figure, we gradually pull the block from x = 0 to x = +3.0 cm, where it is stationary. The second figure gives the work that our force does on the block. The scale of the figure's vertical axis is set by Ws = 1.0 J. We then pull the block out to x = +6.0 cm and release it from rest. How much work does the spring do on the block when the block moves from xi = +6.0 cm to (a) x = +4.0 cm, (b) x = -1.0 cm, and (c) x = -6.0 cm?

A ball with a mass of 500 g is thrown directly upward by a boy standing over a 5 m hole in the ground. The ball leaves the boys hand at a height of 1 m above the ground and with a speed of 10 m/s. What is the total mechanical energy of the ball when it hits the bottom of the hole? Take ground level to be the zero of gravitational potential energy. Assume air resistance is negligible.

A different robot begins pushing a 10kg box that was already moving at 0.5m/s [Right] along a surface with a coefficient of kinetic friction of 0.15. The robot pushes with only 3N [Right] of force. What is the acceleration of the box?  Using the Work-Energy theorem, calculate how much work the robot does on the box accelerating it from 0.5m/s [Right] to 2m/s [Right]. What distance did the robot push the box? Use kinematics to check your work.

An infinitely long, flat cliff has stones (to be treated as point masses) hanging off it spaced 1 metre apart starting at position n = 1. The stone at position n has masses 1 4n kg and is attached to a 2n m long wire with negligible weight. The first three stones are drawn in Figure 2. How much work is required to pull up all the stones to the top of the cliff? Assume work is measured in newton-meters. If you need to use the acceleration due to gravity constant g, leave it as-is. DO NOT approximate g by a numerical value. 1 2 3 →n FIGURE 2. Point masses hanging off a cliff.

Q5; A 0.37-kg particle has a speed of 4.0 m/s at point A and kinetic energy of 8.2 J at point B. (a) What is its kinetic energy at A?  J(b) What is its speed at point B? Your response differs from the correct answer by more than 10%. Double check your calculations. m/s(c) What is the total work done on the particle as it moves from A to B? J

Two 37.0-lbm twins are playing in their backyard. One toddler is running full speed at 5.5 mph and his path will take him directly into a brick wall. His sister has climbed a 3.5-ft ladder and is perched precariously atop it. Calculate the kinetic and potential energies of the two twins with respect to their stationary destinations (the wall and the ground). Boy Girl i KE (lbf.ft) PE (lbf.ft) If potential energy is completely converted to kinetic energy during the girl's fall, how fast will she be travelling upon impact? mph

An object is placed to a shelf from the ground which is 1.8 m higher. find out how much work is done by you. If the same object falls to the ground, how much work is done by gravity? Mass of the object is 200 g.