A bullet of mass,0.006kg traveling at 180m/s penetrates deeply into the target and it brought to rest in 0.01seconds ;calculate (I)the distance of penetration of the target.

Answer 1

We can use the equation:

force = mass x acceleration

since we know the mass of the bullet and the time it takes to come to rest in the target, we can calculate the force exerted on the bullet:

force = mass x acceleration
force = 0.006kg x (180m/s ÷ 0.01s)
force = 1080N

The force exerted on the bullet is the same force exerted by the bullet on the target. We can use this force and the formula for work (W = force x distance) to find the distance of penetration:

work = force x distance
distance = work ÷ force
distance = (0.5 x 0.006kg x (180m/s)^2) ÷ 1080N
distance = 0.097 m or 9.7 cm

Therefore, the distance of penetration of the target is 9.7 cm.