With what acceleration should the weight be lowered so that its weight decreases 2.5 times?

Problem data: P2 (final weight of the weight) = P1 (initial weight of the weight) / 2.5 = 0.4P1.

Reference values: g (acceleration due to gravity) ≈ 10 m / s2.

The acceleration with which it will be necessary to lower the weight taken can be expressed from the equality: 0.4Р1 = m * (g – a).

0.4m * g = m * (g – a).

0.4g = g – a.

a = g – 0.4g = 10 – 0.4 * 10 = 10 – 4 = 6 m / s2.

Answer: The taken weight will need to be lowered with an acceleration of 6 m / s2.