How much more work is done to push a box 2.5 m with a force of 30 N than to push a box 2.0 m with a force of 26 N?
W =F•s•cosα
α=0, cosα =1.
W1-W2 =F1•s1 – F2•s2=30•2.5 - 26•2=
= 75 -52 = 23 J.
To determine how much more work is done, we need to calculate the work done in each scenario and then find the difference.
The formula for calculating work is:
Work = Force × Distance
For the first scenario, pushing a box 2.5 m with a force of 30 N:
Work = 30 N × 2.5 m
Work = 75 joules
For the second scenario, pushing a box 2.0 m with a force of 26 N:
Work = 26 N × 2.0 m
Work = 52 joules
To find the difference, we subtract the work done in the second scenario from the work done in the first scenario:
Difference = Work (1st scenario) - Work (2nd scenario)
Difference = 75 joules - 52 joules
Difference = 23 joules
Therefore, 23 joules more work is done to push the box 2.5 m with a force of 30 N compared to pushing the box 2.0 m with a force of 26 N.
To calculate the work done, you need to use the formula:
Work = Force × Distance
For the first scenario, where the force applied is 30 N and the distance is 2.5 m:
Work1 = 30 N × 2.5 m = 75 joules
For the second scenario, where the force applied is 26 N and the distance is 2.0 m:
Work2 = 26 N × 2.0 m = 52 joules
To find out how much more work is done to push the box 2.5 m with a force of 30 N compared to pushing the box 2.0 m with a force of 26 N, you subtract the value of Work2 from Work1:
Work Difference = Work1 - Work2
Work Difference = 75 joules - 52 joules = 23 joules
Therefore, 23 joules more work is done to push the box 2.5 m with a force of 30 N than to push the box 2.0 m with a force of 26 N.