Question

How much power is required to lift a 2.00 kg mass at a speed of 2.00 m/s?

Answer 1

The power required to lift a 2.00 kg mass at a speed of 2.00 m/s is calculated using the formula
`P = F * v.` The force is found by multiplying the mass by the acceleration due to gravity
`(F = m * g)` and then the power is obtained by multiplying this force by the velocity. The result is 39.24 watts.

Step-by-step explanation:

To calculate the power required to lift a 2.00 kg mass at a speed of 2.00 m/s, we can use the formula
`P = F * v`, where P represents power, F is force, and v is velocity. First, we need to determine the force (F) necessary to lift the mass. This is equal to the weight of the mass, which can be calculated using
`F = m * g`, where m is the mass and g is the acceleration due to gravity (9.81 m/s2). For a 2.00 kg mass, the force is
`F = 2.00 kg * 9.81 m/s2 = 19.62 N`. Subsequently, the power (P) can be calculated by multiplying the force (F) by the velocity (v), resulting in
`P = 19.62 N * 2.00 m/s = 39.24 W`. Hence, the power required to lift the 2.00 kg mass at 2.00 m/s is 39.24 watts.