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

Answer:

nail will stop after traveling 1000 m    

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 $a=\frac{F}{m}=\frac{62.5\times 10^3}{0.05}=1.25\times 10^6m/sec^2$

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

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

So $0^2=50^2-2\times 1.25\times 10^6\times s$

s = 1000 m

So nail will stop after traveling 1000 m