refer to a situation where you exert a force F on a crate of mass M, moving it at a speed v a distance d across a floor in a time interval t. The quantity F d/t is?
a.)kinetic energy of the crate
b.)potential energy of the crate
c.)linear momentum of the crate
d.)work you do on the crate
e.)power you supply to the crate
Melvin pulls a sled across level snow with a
force of 215 N along a rope that is 45
◦
above
the horizontal.
If the sled moved a distance of 40
.
6 m, how
much work did Melvin do?
Answer in units of J.
The quantity F × d/t is equal to the work you do on the crate.
To understand why, let's break it down:
Force, denoted by F, represents the amount of push or pull applied to an object. In this case, you are exerting a force on the crate.
Distance, represented by d, is the path length over which the crate is moved. It is the distance covered by the crate as you push or pull it.
Time interval, denoted by t, represents the duration over which the movement occurs. It is the time it takes for you to move the crate.
Now, when you exert a force to move the crate, you are doing work. Work, denoted by the symbol W, is defined as the product of force and displacement (distance moved) in the direction of the force.
Mathematically, we have:
W = F × d
However, in this scenario, you are interested in the work done per unit time, or the rate at which work is done, which is known as power. Power, denoted by P, is calculated as the work done divided by the time interval.
So, we have:
P = W / t
Substituting the value of work (W) from above, we get:
P = (F × d) / t
Therefore, the quantity F × d/t represents the power you supply to the crate. This means that the correct answer is option (e) - power you supply to the crate.