A machine using a power of 1 kW requires a force of 100 N to raise a mass in 10 s. The height the mass is raised in this time is:

To solve this problem, we need to use the formula for power, which is work done per unit time.

The formula for power (P) is: P = Work done / Time

Work done can be calculated using the formula: Work done = Force x Distance

Given in the problem: Power (P) = 1 kW = 1000 W (since 1 kW = 1000 W) Force (F) = 100 N Time (t) = 10 s

We need to find the distance (d), which in this case is the height the mass is raised.

First, we rearrange the power formula to solve for Work done: Work done = Power x Time

Substituting the given values, we get: Work done = 1000 W x 10 s = 10000 J (Joules)

Next, we use the work done to find the distance. We rearrange the work done formula to solve for distance: Distance = Work done / Force

Substituting the values, we get: Distance = 10000 J / 100 N = 100 m

So, the height the mass is raised in this time is 100 meters.