A thrown stone hits a window, but doesn\'t break it. Instead it reverses directi

Question

A thrown stone hits a window, but doesn't break it. Instead it reverses direction and ends up on the ground below the window. In this ease, we know: A 140 g baseball traveling initially at 30 in/s is hit by a bat and leaves traveling at 36 m/s in the opposite direction. If the ball was in contact with the bat for 0.013 s. what average force did the bat exert on the ball? A 40,000 kg railroad car moving at 3.1 m/s collides with a second car of mass 55.000 kg that is initially at rest on the same track. The two cars couple together. What is their speed after the collision? An ideal gas occupies 12 liters at 20 degree C and I atmosphere (76 cm of Hg). It's temperature is now raised to 100 degree C and its pressure increased to 215 cm of Hg. What is its new volume in liters?

Explanation / Answer

8) as per the newtons third law , every action has equal and opposite reaction.So,

The force exerted by the stone on the glass = force exerted by the glass on the stone

So option (b) is correct

9) by newtons second law

Force exerted = rate of change of momentum

F = dp/dt

F = m(v2-v1)/dt

F = 0.14 (36-(-30)) / 0.013

F = 710.77N

Option d is correct

10)let V be the final velocity of the masses

by the conservation of momentum

m1u1 + m2u2 = (m1 + m2)V

40000*3.1 + 0 = (40000 + 55000)V

V = 1.305 m/s

Option (b) is correct

11) P1V1 /T1 = P2V2/T2

76*12 /(273+20) = 215*V2/(273+100)

V2 = 5.4 litres

Option (a) is the correct answer

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