At what speed will a body weighing 5 kg have an energy of 250 J?
April 25, 2021 | education
| Given:
m = 5 kilograms – the mass of a certain body;
E = 250 Joules – body energy.
It is required to determine v (meter per second) – at what speed the body will have energy E.
Since it is not specified in the problem statement, we assume that E is kinetic energy. Then, to determine the speed of the body, you must use the following formula:
E = m * v ^ 2/2, from here we find that:
v = (2 * E / m) ^ 0.5;
v = (2 * 250/5) ^ 0.5 = (500/5) ^ 0.5 = 1000.5 = 10 meters per second.
Answer: the body will have a kinetic energy of 250 Joules at a speed of 10 meters per second.
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