Final answer:
The power output needed from a motor to lift a mass in the absence of friction is 0 W, as there is no work being done. The force required to lift the mass can be calculated using Newton's second law, which in this case is 0 N. Therefore, no power is needed.
Step-by-step explanation:
To calculate the power output needed from a motor to lift a mass, we can use the formula:
Power = Work / Time
Work is equal to the force applied on the mass multiplied by the distance it is lifted:
Work = Force x Distance
From the given information, we know that the mass is 1.5 ×10⁴ kg, the distance is 25 m, and the time is 6.0 s. We need to find the force first, which can be calculated using Newton's second law:
Force = mass x acceleration
In this case, since the mass is being lifted at a constant speed, the acceleration is 0 m/s². Therefore, the force is also 0 N, and the power output needed from the motor is also 0 W, as there is no work being done in the absence of friction.