A person jumps from a stationary cart at a speed of 10 m / s relative to the Earth.
| August 14, 2021 | education
A person jumps from a stationary cart at a speed of 10 m / s relative to the Earth. Determine the speed at which the cart will roll if the person weighs 50 kg, and the carts are 100 kg.
To find the speed at which the trolley should roll, we apply the law of conservation of momentum: mbody * Vbody – mperson * Vperson = 0 (the trolley was stationary at the initial moment of time), whence Vbody = mperson * Vperson / mbody.
Variables: mperson – the mass of the jumping person (mperson = 50 kg); Vpers – jump speed (Vpers = 10 m / s); mbody – trolley weight (mbody = 100 kg).
Calculation: Vbody = 50 * 10/100 = 5 m / s.
Answer: The cart was supposed to roll at a speed of 5 m / s.
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