Buffy is rolling along in her 13.0 kg wagon at 3.0 m/s (in the positive direction) when she jumps off the back. She continues to move forward at 1.5 m/s relative to the ground. This causes her wagon to go speeding forward at 7.00 m/s relative to the ground. How much does Buffy weigh?
let mass of buffy be M.
then using conservation of linear momentum:
(13+M)*3=M*1.5+13*7
M=34.667 kg
SOLUTION :
Let Buffy weighs W kg .
So, momentum of both Buffy and wagon before separation
= (W + 13) * 3
= 3 W + 39 kg-m/s
Momentum after Buffy separates from the wagon
= W * 1.5 + 13 * 7
= 1.5 W + 91 kg-m/sec
Momentum remains unchanged, so,
3 W + 39 = 1.5 W + 91
=> (3 - 1.5) W = 91 - 39
=> 1.5 W = 52
=> W = 52/1.5
=> W = 34.67 kg
So, weight of Buffy is 34.67 kg (ANSWER).
Buffy is rolling along in her 13.0 kg wagon at 3.0 m/s (in the positive direction)...
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