no work is done until the box moves.
W = F * d
W = 100 N * 4 meters = 400 Joules
Most of this question is added nonsense intended to confuse you.
W = F * d
W = 100 N * 4 meters = 400 Joules
Most of this question is added nonsense intended to confuse you.
Force times distance moved in the direction of the force !!!!!
Given:
Mass of the crate (m) = 500 kg
Force applied initially (F1) = 50 N
Additional force applied (F2) = 50 N
Distance moved (d) = 4 meters
Time taken to move (t) = 2 minutes = 120 seconds
Step 1: Calculating the force of friction
Initially, the crate does not move, so the applied force is equal to the force of friction. Thus:
F1 = Force of friction
Step 2: Calculating the acceleration
Using Newton's second law of motion, we can calculate the acceleration (a) of the crate:
F1 = m * a
Step 3: Calculating the force required after 2 minutes
After applying an additional force (F2 = 50 N), the crate moves with a constant velocity. This means that the net force on the crate is zero, as it overcomes the force of friction. Thus:
F2 = Force of friction
Step 4: Calculating the acceleration after 2 minutes
Using the formula again:
F2 = m * a
Step 5: Calculating the work done
The work done (W) is given by the formula:
W = Force * Distance
Now let's calculate the values:
Step 1:
F1 = 50 N
Step 2:
a = F1 / m
= 50 N / 500 kg
= 0.1 m/s^2
Step 3:
F2 = 50 N
Step 4:
a = F2 / m
= 50 N / 500 kg
= 0.1 m/s^2
Step 5:
W = F2 * d
= 50 N * 4 meters
= 200 Joules
Therefore, the work done to move the crate a distance of 4 meters is 200 Joules.