$$Power = \frac{Work done}{Time taken}$$
The work done in raising the crate is equal to the force required to lift the crate multiplied by the vertical distance through which it is lifted. The force required to lift the crate is equal to its weight, which is given by:
$$Weight = mass \times gravity$$
$$Weight = 30 kg \times 9.81 m/s^2 = 294.3 N$$
The work done in raising the crate is then:
$$Work done = Force \times Distance = 294.3 N \times 6 m = 1765.8 J$$
The time taken to raise the crate is given as 4 seconds. Therefore, the power required is:
$$Power = \frac{1765.8 J}{4 s} = 441.45 W$$
Therefore, the power required to raise the 30 kg crate a vertical distance of 6 m in 4 seconds is 441.45 W.
