Disregarding friction, a roller coaster with a vertical drop of 46 m will achieve a speed of about 30 m/s. If the height of the drop is doubled, how much the speed is going to be?

The force on a 2 kg object varies with position as shown in fig. below. If the object was initially at rest, find its speed in m/s at x = 2.5 m. (write the answer with three significant figures only). X(m) Answer: (N) (x)d

You set up a ramp as depicted to practice your skateboard skills. The ramp is a wooden board L=8.0 m long and is propped up between the ground level at one end and h=1.3 m at the other end. You approach the ramp from the left (lower ground) at 11 m/s. How fast are you once you get past the ramp (higher ground)? Assume your mass is 105 kg and friction is negligible.

Consider a 0.5 kg mass at the top of a 1.5 m high (vertical) incline. if it is allowed to slide down with negligible friction, what will be its speed (in m/s) at the bottom?

Alissa dropped a ball from a height of 2000 mm. Find out (a) how long it will take to hit the ground and (b) what would be its velocity when it hits the ground? (c) If mass of the ball is 500 g, what would be its kinetic energy when it hits the ground? (d) What would be its potential energy before its fall?

You drop a 1.40 kg book to a friend who stands on the ground at distance D = 12.0 m below. Your friend's outstretched hands are at distance d = 1.30 m above the ground (see the figure). (a) What is the speed of the book when it reaches her hands? (b) If we substituted a second book with twice the mass, what would its speed be when it reaches her hands? (c) If, instead, the book were thrown down with initial speed 5.90 m/s, what would be the answer to (a)? (a) Number i Units (b) Number i Units