# physics

posted by .

A ball with mass m rolls over the edge of a table h meters above the ground. It lands a distance x meters from a point directly below the edge of the table. Show that the speed of the ball at the edge of the table was v=x/sq rt 2h/g and that the kinetic energy of the ball immediately before it hits the ground is k=mg(x^2 + 4h^2)/4h

• physics -

sqrt(2h/g) is the time it takes to fall. Dividing x by that gives you the horizontal speed Vx at which the ball leaves the table.

Use Vx and Vy to compute the total KE.
Vy = g t.

## Similar Questions

1. ### physics

a ball rolls horizontally with a speed of 7.6 m/s off the edge of a tall platform. if the ball lands 8.7 m from the point on the ground directly below the edge of the platform, what is the height of the platform?
2. ### physics

A 4.74 kg spherical ball with radius 1.4 cm rolls on a track with a loop of radius 39 cm that sits on a table 1.2 meters above the ground. The last 1 meter section of the track is horzontal and is not connected to the rest of the track. …
3. ### physics

A 4.74 kg spherical ball with radius 1.4 cm rolls on a track with a loop of radius 39 cm that sits on a table 1.2 meters above the ground. The last 1 meter section of the track is horzontal and is not connected to the rest of the track. …
4. ### physics

A ball rolls horizontally with a speed of 7.6 m/s off the edge of a tall platform. If the ball lands 8.7 m from the point on the ground directly below the edge of the platform what is the height of the platform?
5. ### physics

A ball rolls horizontally with a speed of 7.6 m/s off the edge of a tall platform. If the ball lands 8.7 m from the point on the ground directly below the edge of the platform what is the height of the platform?
6. ### physics

A ball rolls with a speed of 4.4 m/s toward the edge of a table that is 1 m above the floor. The ball rolls off the table. a. How long is it in the air?
7. ### solid mensuration

103. A billiard ball, aimed at a point A on the edge of the cushion of a horizontal billiard table, rolls along a line making 18 degrees with the cushion. If the cushion over hangs so that its edge is 4 cm. above the table and the …
8. ### Physics

A ball rolls off a tabletop 0.900 m above the floor and lands on the floor 2.60 m away from a point that is directly under the edge of the table. At what speed did the ball roll off of the table?
9. ### Physics

A small ball rolls horizontally off the edge of a tabletop of height h. It strikes the floor a distance x horizontally away from the edge of the table. (Use any variable or symbol stated above along with the following as necessary: …
10. ### physics

How fast must a ball be rolled along a 100 cm high table so that when it rolls off the edge it will strike the floor at a distance of 100 cm from the point directly below the table edge?

More Similar Questions