Georgie was pulling her brother (of mass
25 kg) in a 10.4 kg sled with a constant force
of 24 N for one block (72 m).
How much work did Georgie do?
Answer in units of J.
24(72)=1728
Work = Force x Distance
The masses of sled and brother don't matter in the calculation. They help determine the friction force, and the division of work between kinetic energy, potential energy (if uphill) and frictional heat.
To calculate the work Georgie did, we can use the formula:
Work = Force x Distance
The force Georgie exerted was 24 N, and the distance she pulled the sled was 72 m. Plugging in these values, we get:
Work = 24 N x 72 m
Work = 1,728 N·m
Since the unit for work is joules (J), we can convert the result from N·m to J:
1 J = 1 N·m
Therefore, the work Georgie did is 1,728 J.
To calculate the work done by Georgie, we can use the formula:
Work = Force × Distance
In this case, the force Georgie applies is 24 N, and the distance she pulls the sled is 72 m.
The force applied by Georgie is constant, so the work done can be calculated as:
Work = Force × Distance
= 24 N × 72 m
= 1728 J
Therefore, Georgie did 1728 Joules (J) of work.