Question

plz solve correct one i will mark as brainliest​

Answer 1

use conservation of linear momentum,

mu+MU=mv+MV

0.05 × 50 + 5 × U = m × 0 + M × 0

0.05 × 50 + 5U = 0

5U = -0.05 × 50

U = -0.5 m/s [here negative sign shows that velocity of rifle is just opposite to the bullet .

mass of the bullet (m) = 10 g = (10/1000) kg =0.01 kg

Initial velocity (u) = 150 m/s

Final velocity (v) = 0 m/s

Time taken (t) = 0.03 sec

i. Calculation of the distance of penetrationof the bullet into the block: Calculation of the distance of penetrationof the bullet into the block = Displacement

Displacement = average velocity × time Displacement = [(u + v) / 2] × time

Displacement = [(150 + 0) / 2] × 0.03 Displacement = 2.25 m

ii. Calculation of the magnitude of the force exerted by the wooden block on the bullet: the magnitude of the force exerted by the wooden block on the bullet = Retarding force

Retarding force = mass × reatardation Retarding force = mass ×[ (Intitial velocity - Final velocity) / t ]

Retarding force = 0.01 ×[ (150 - 0) / 0.03 ] Retarding force = [150/3] N

Retarding force = 50 N