If the force applied to an object remains constant, is more power needed for the object to move faster ? explain

Yes

Explanation:

The power is defined as the work done (W) per unit of time (t):

this can be rewritten in another way: keeping in mind that the work is the product of force (F) and displacement (d): and that the ratio between displacement (d) and time (t) is the velocity: , we can rewrite the equation above as

So, the power is the product of force and velocity: therefore, if the force applied to an object is constant, we see that if we want to increase the velocity (v) we also need to use more power (P), because from the formula we see that P and v are directly proportional to each other.

step-by-step explanation:

we are given

we have to simplify it

firstly, we will factor it

now, we can cancel like terms

now, we can combine it

so, we get