how much work is done on a 100kg crate that is hoisted 4 m in a time of 4 seconds
Work done
=mgh
It doesn't matter how long it takes.
The work done is M g H.
H = 4.0 m
g = 9.8 m/s^2
M = 100 kg
The answer will be in Joules.
3232
To calculate the work done on the crate, we need to use the formula:
Work (W) = Force (F) * Distance (d) * Cosine of the angle between the force and displacement (θ)
In this case, the force exerted on the crate is equal to its weight. We can calculate the weight using the formula:
Weight (W) = Mass (m) * Acceleration due to gravity (g)
Given that the mass of the crate is 100kg and the acceleration due to gravity is approximately 9.8m/s², we can calculate the weight:
Weight = 100kg * 9.8m/s² = 980N
Now, we can calculate the work done by substituting the values into the formula:
Work (W) = Force (F) * Distance (d) * Cosine of the angle (θ)
Since the crate is hoisted vertically, the angle between the force and displacement is 0°, which means that the cosine of 0° is 1. Therefore, the formula simplifies to:
Work (W) = Force (F) * Distance (d)
In this case, the force is equal to the weight of the crate, which is 980N, and the distance is 4m. Substituting these values into the formula:
Work (W) = 980N * 4m = 3920 Joules (J)
So, the work done on the crate is 3920 Joules.