An engine draws water from a depth of 10 m from earth at aspeed of 2m/s at arate of 10 kg/10 s. What is the power of the engine?

To determine the power of the engine, we need to use the formula:

Power (P) = work done (W) / time taken (t)

First, let's calculate the work done:

The work performed by the engine is given by the product of force (F) and displacement (d). In this case, force is equal to the weight of the water being lifted.

Force (F) = mass (m) * acceleration due to gravity (g)

Given that the mass is 10 kg and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the force:

Force (F) = 10 kg * 9.8 m/s^2

Next, we need to calculate the displacement (d):

Displacement (d) = distance (h) * sine of angle (θ)

In this case, the distance is 10 m and the angle is 90 degrees (since the water is being lifted straight up). So, the displacement is equal to the distance:

Displacement (d) = 10 m

Now, let's calculate the work done:

Work (W) = Force (F) * Displacement (d)

Finally, we can calculate the power:

Power (P) = Work (W) / time taken (t)

Given that the speed of the engine is 2 m/s and the rate of water being lifted is 10 kg/10 s, we can determine the time taken:

time (t) = 10 s / 10 kg

Now, we have all the necessary values to calculate the power of the engine.