Question #59161

a 1250 kg car increases its speed from 15.0m/s to 20.0m/s . how much work was done on the car?
1

Expert's answer

2016-04-14T09:09:04-0400

Answer on Question # 59161 – Physics – Mechanics | Relativity

A 1250 kg car increases its speed from 15.0m/s to 20.0m/s. How much work was done on the car?

Solution:

Work done on the car can be calculated as the change of the kinetic energy of the car:


A=K2K1=mv222mv122=m(v22v12)2=1250×(202152)2=109375[J].A = K _ {2} - K _ {1} = \frac {m v _ {2} ^ {2}}{2} - \frac {m v _ {1} ^ {2}}{2} = \frac {m (v _ {2} ^ {2} - v _ {1} ^ {2})}{2} = \frac {1 2 5 0 \times (2 0 ^ {2} - 1 5 ^ {2})}{2} = 1 0 9 3 7 5 [ \mathrm {J} ].


Answer: A=109375 [J]A = 109375\ [\mathrm{J}].

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