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 100 N did 200 J of work. How many metres did the object move?
- 2.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 3.🏋️ Pushing a crate 10 m took 4300 J of work. What force was used, in newtons?
- 4.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 320 N did 2880 J of work. How many metres did the object move?
- 6.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 7.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 9.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 10.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 12.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 13.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 170 N did 340 J of work. How many metres did the object move?
- 15.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 430 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 410 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 20.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 21.🏋️ A force of 20 N did 160 J of work. How many metres did the object move?
- 22.🏋️ A force of 130 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 24.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 70 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 380 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 300 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 160 N did 1600 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 6 m took 600 J of work. What force was used, in newtons?
- 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.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 34.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ Pushing a crate 1 m took 10 J of work. What force was used, in newtons?
- 36.🏋️ A force of 130 N did 1300 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Pushing a crate 4 m took 760 J of work. What force was used, in newtons?
- 39.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 2
- joule (J)
- 430
- 60
- 9
- through a distance
- 250
- less effort
- no, work stays the same
- 2
- 420
- 4
- 250
- 2
- 400
- 3870
- 3280
- 400
- 3
- load ÷ effort
- 8
- 390
- 6
- 700
- 210
- 760
- 3000
- 6
- 10
- 3
- 100
- 600
- 6
- 700
- 10
- 10
- 200
- 190
- 130
- 550
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