What is the average power required to lift a mass of 100kg to a height of 50m in 50 seconds?

The correct option is 980 (which represents a power of 980 Watts).

To find the average power required to lift the mass, we can break down the calculation into simple physical steps:

Step 1: Identify the given values
- Mass ($m$) = 100 kg
- Height ($h$) = 50 m
- Time ($t$) = 50 seconds
- Acceleration due to gravity ($g$) is approximately 9.8 m/s²

Step 2: Calculate the work done in lifting the mass
The work done ($W$) against gravity to lift an object to a height $h$ is equal to the gravitational potential energy gained by the object:

$W=m\cdot g\cdot h$

Substituting the given values:
$W=100\cdot 9.8\cdot 50=49000\text{Joules}$

Step 3: Calculate the average power
Power ($P$) is defined as the rate at which work is done:

$P=\frac{W}{t}$

Substituting the work and time into the equation:
$P=\frac{49000}{50}=980\text{Watts}$

Thus, the average power required is 980 W, which matches the option 980.