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An 80 \mathrm{~kg}  man is riding on a small  40 \mathrm{~kg}  cart at a speed of  4 \mathrm{~m} / \mathrm{s} . He jumps off the cart with zero horizontal speed. What is the resulting changes in the speed of the cart (in \mathrm{m} / \mathrm{s} )?

Option: 1

4


Option: 2

8


Option: 3

12


Option: 4

0


Answers (1)

best_answer

Apply conservation of momentum to the (man + boat) system.
Total initial momentum, P_i=(80+40) \times 4 \mathrm{~kg} \mathrm{~m} / \mathrm{s}
Total final momentum, P_f=[80 \times 0+40 \times \mathrm{V}]

=40 \mathrm{~V} \mathrm{~kg} \mathrm{~m} / \mathrm{s} .

Now,

P_i=P_f \\
(80+40) \times 4=40 \mathrm{~V} \\
v=12 \mathrm{~m} / \mathrm{s} .
 

Posted by

Ritika Harsh

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