Question

X,Y,Z are partner sharing profit and lossees in the ration of 5:3:2 they admit A into partnership and give him 1/5th share of profits . Find the new profit -sharing ration​

Answer 1

Answer:

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Answer 2

Answer:

Given parameters,

Initial velocity (u) = 150 m/s

Final velocity (v) = 0 (since the bullet finally comes to rest)

Time taken to come to rest (t) = 0.03 s

Find out

The distance of penetration of the bullet into the block. Also the magnitude of the force exerted by the wooden block on the bullet.

Solution

According to the first equation of motion,

v = u + at

Acceleration of the bullet (a)

0 = 150 + (a — 0.03 s)

a = -150 / 0.03

a = – 5000 m/s2

Here the negative sign indicates that the velocity of the bullet is decreasing.

According to the third equation of motion,

v2= u2+ 2asv2=u2+2as

0 = (150) {}^{2} + 2 (-5000)0=(150)

2

+2(−5000)

s = 22500 / 10000

s = 2.25 m

Hence, the distance of penetration of the bullet into the block is 2.25 m.

From Newton’s second law of motion,

Force (F) = Mass × Acceleration

Mass of the bullet (m) = 10 g

m = 0.01 kg

Acceleration of the bullet (a) = 5000 m/s2

F = m × a

F = 0.01× -5000

F = -50 N

Hence, the magnitude of the force exerted by the wooden block on the bullet is 50 N.