A box slides across a table and then up a ramp to a maximum height h. Neglecting

Question

A box slides across a table and then up a ramp to a maximum height h. Neglecting friction, what was the boxs speed while sliding across the table top? The box slides back down the ramp and off the other end of the table. Again neglecting friction, how far from the foot of the table does the box land on the floor?

A box slides across a table and then up a ramp to a maximum height h Neglecting friction, what was the box's speed while sliding across the table top? u= The box slides back down the ramp and off the other end of the table. Again neglecting friction, how far from the foot of the table does the box land on the floor?

Explanation / Answer

Conserving energy,

mgh=1/2 mv^2

v=(2gh)^1/2

Time taken by block to fall down height H be t.

1/2 gt^2=H

t=(2H/g)^1/2

In time t block will travel vt

Plugging the value, L= (2gh)^1/2(2H/g)^1/2=(4Hh)^1/2=2(Hh)^1/2

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