First slide

Second law

Question

A train of mass M is moving on a circular track of radius R with constant speed v. The length of the train is half of the perimeter of the track. The linear momentum of the train will be

Moderate

A

$πMv$
B

$\frac{2 Mv}{π}$
C

$\frac{πMv}{2}$
D

Mv

Solution

$p_{net} = \int d p \sin θ = \int_{0}^{π} (\frac{M}{π} \cdot d θ) v \cdot \sin θ = \frac{2 M v}{π}$

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