Video: Pack 3 • Paper 1 • Question 12

Pack 3 • Paper 1 • Question 12

01:36

Video Transcript

Power equals force multiplied by velocity. A hydraulic press moves with a velocity of 200 centimeters per second and exerts a force of 500 newtons. Find the power of the hydraulic press. Give your answer in newton meters per second.

At the first part of this question, let’s actually have a look at the units because we want the answer in newton meters per second. However, if we look back in the question, we’ll see that our velocity is given as 200 centimeters per second.

So therefore, the first thing we’re gonna want to do is actually convert our 200 centimeters per second into meters per second. And to do this, what we’re gonna do is actually divide our value by 100. And the reason we do that is because one meter is equal to 100 centimeters. So therefore, if we divide 200 by 100, we get two. So we can say that 200 centimeters per second is equal to two meters per second.

Okay, great, so that’s the first stage over. So now, the next step is to have a look at the formula we’ve got and that is the power is equal to force multiplied by velocity. Okay, so let’s identify which bits we have. So first of all, what we can see in the question is that force is equal to 500 newtons. And the question also tells us that the velocity is 200 centimeters per second, which we’ve just changed to two meters per second.

Okay, great, so let’s substitute this into our formula. So therefore, when we do, we get power is equal to 500 multiplied by two. So therefore, we can say that if a hydraulic press moves with a velocity of 200 centimeters per second and exerts a force of 500 newtons, the power of the hydraulic press will be 1000 newton meters per second.