Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 90 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ Pushing a crate 7 m took 2310 J of work. What force was used, in newtons?
- 5.🏋️ A force of 220 N did 440 J of work. How many metres did the object move?
- 6.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 7.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 370 N did 2590 J of work. How many metres did the object move?
- 9.🏋️ A force of 280 N did 560 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 1 m took 190 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 13.🏋️ A force of 90 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 14.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 9 m took 2880 J of work. What force was used, in newtons?
- 18.🏋️ A force of 30 N did 180 J of work. How many metres did the object move?
- 19.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 20.🏋️ A force of 490 N did 2940 J of work. How many metres did the object move?
- 21.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Pushing a crate 10 m took 200 J of work. What force was used, in newtons?
- 24.🏋️ A force of 330 N did 3300 J of work. How many metres did the object move?
- 25.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 26.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 27.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 28.🏋️ A force of 10 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
- 31.🏋️ A force of 420 N did 2940 J of work. How many metres did the object move?
- 32.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Pushing a crate 2 m took 580 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 320 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 370 N pushes a cart 1 m along the floor. How much work is done, in joules?
Answer key
- 100
- 250
- 270
- 330
- 2
- 2
- 1000
- 7
- 2
- 190
- 500
- joule (J)
- 540
- 90
- 480
- 3
- 320
- 6
- less effort
- 6
- 960
- 50
- 20
- 10
- through a distance
- 3
- no, work stays the same
- 90
- 6
- 1
- 7
- 600
- 290
- 650
- 6
- 960
- 6
- 650
- 2
- 370
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