A material point with a mass of 1 kg, moving in a straight line, changed its momentum
| March 4, 2021 | education
A material point with a mass of 1 kg, moving in a straight line, changed its momentum from 2 N s to 4 N s. The change in its kinetic energy is equal to …
Task data: m (mass of a material point) = 1 kg; P1 (initial impulse of a material point) = 2 N * s; P2 (end impulse) = 4 N * s.
1) Initial velocity of a material point: V1 = P1 / m = 2/1 = 2 m / s.
2) Final speed: V2 = P2 / m = 4/1 = 4 m / s.
3) Change in kinetic energy: ΔEk = Ek2 – Ek1 = 0.5 * m * (V2 ^ 2 – V1 ^ 2) = 0.5 * 1 * (4 ^ 2 – 2 ^ 2) = 6 J.
Answer: The kinetic energy of a material point has increased by 6 J.
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