Question

Immediately after being struck by a hammer, the nail (mass of 50 g) has a velocity of 50 m/s. The total frictional force is 62.5 kM. How far does the nail move before it comes to a stop

Answer 1

nail will stop after traveling 1000 m

Step-by-step explanation:

We have given mass m = 50 gram = 0.05 kg

Frictional force which is used to stop the mass F = 62.5 kN

Initial velocity is given u = 50 m/sec

From newton's law force is equal to F = ma, here m is mass and a is acceleration

So
`a=(F)/(m)=(62.5* 10^3)/(0.05)=1.25* 10^6m/sec^2`

As finally nail stops so final velocity v = 0 m/sec

From third equation of motion
`v^2=u^2+2as`

So
`0^2=50^2-2* 1.25* 10^6* s`

s = 1000 m

So nail will stop after traveling 1000 m