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Trolley car A is 1000 kg and trolley car B is 1500 kg. A) Is this an elastic, an

ID: 1260647 • Letter: T

Question

Trolley car A is 1000 kg and trolley car B is 1500 kg.

A) Is this an elastic, an inelastic, or a completely/perfectly inelastic collision?

B) What is the velocity of the AB pair after A collides with B?

C) How much did the temperature of the 100 kg steel coupler (originally 293 K) change as a result of the collision? The specific heat of steel is 0.466 J/kg.k

Trolley car A is 1000 kg and trolley car B is 1500 kg. A) Is this an elastic, an inelastic, or a completely/perfectly inelastic collision? B) What is the velocity of the AB pair after A collides with B? C) How much did the temperature of the 100 kg steel coupler (originally 293 K) change as a result of the collision? The specific heat of steel is 0.466 J/kg.k

Explanation / Answer

A) inelastic

B) initial momentum = final momentum

(mA*Va + mB*vB) = (mA+mB)*V'


V' = ((1000*24)+(1500*0))/(1000+1500)


v' = 9.6 m/s


c) KEi = 0.5*mA*vA^2 = 0.5*1000*24*24 = 288000 J

KEf = 0.5*(mA+mB)*V'^2 = 0.5*(1000+1500)*9.6*9.6 = 115200 J

heat released Q = Ki - Kf = 172800 J

Q = m*C*dT

dT = 172800/(100*0.466) = 3708.15

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