A block starts at rest and slides down a fric- tionless track. It leaves the tra

Question

A block starts at rest and slides down a fric-

tionless track. It leaves the track horizontally,

flies through the air, and subsequently strikes

the ground.

What is the speed of the ball when it leaves

the track?

What horizontal distance doesthe block

What is thespeed of the block when it hits

the ground? Answer inunits of m/s.

The acceleration of gravity is

9.81 m/s2 .

Answer in units of m/s.

A block starts at rest and slides down a frictionless track. It leaves the track horizontally, flies through the air, and subsequently strikes the ground. What is the speed of the ball when it leaves the track? What horizontal distance doesthe block travel in the air? Answer in units ofm. What is thespeed of the block when it hits the ground? Answer inunits of m/s. The acceleration of gravity is 9.81 m/s2 . Answer in units of m/s.

Explanation / Answer

height h = 4.1 - 2.3 = 1.8 m Velocity at bottom ( or height 2.3 m ) is   v= [ 2 gh ]                                                                  = 5.939 m / s from this x = v [ 2 H / g ] from this H = 2.3 m So, x = 4 m Speed when it reach the ground V = [ v ^ 2 + ( gt) ^ 2 ] where t = time = [ 2H / g ]             = 0.469 s So, V = 7.512 m / s                                                    

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