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 force of 350 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 2.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 3.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 4.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 6.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 7.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 140 N did 1260 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 11.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 12.🏋️ A force of 320 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A 12 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.🏋️ Pushing a crate 2 m took 140 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 5 m took 500 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 6 m took 2040 J of work. What force was used, in newtons?
- 18.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 21.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 480 N did 3840 J of work. How many metres did the object move?
- 24.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 25.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 26.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 6 m took 180 J of work. What force was used, in newtons?
- 28.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A force of 310 N did 2170 J of work. How many metres did the object move?
- 30.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 10 m took 300 J of work. What force was used, in newtons?
- 36.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 230 N did 2070 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 210 N did 1470 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 3 m took 660 J of work. What force was used, in newtons?
Answer key
- 2450
- less effort
- no, work stays the same
- 280
- joule (J)
- 5
- 40
- 50
- 9
- 270
- through a distance
- 320
- 400
- 360
- 70
- 100
- 340
- 380
- 550
- 6
- 350
- 250
- 8
- 6
- 2
- 60
- 30
- 550
- 7
- 1000
- 20
- 240
- 150
- 3
- 30
- 350
- 9
- 2
- 7
- 220
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