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.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 2.🏋️ A force of 100 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 3.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 4.🏋️ A 10 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 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 7.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 8.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 6 m took 1200 J of work. What force was used, in newtons?
- 10.🏋️ 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?
- 11.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 13.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ 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?
- 16.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 10 m took 4600 J of work. What force was used, in newtons?
- 18.🏋️ A force of 400 N did 2000 J of work. How many metres did the object move?
- 19.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 20.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 21.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, by half (d) yes, always
- 22.🏋️ A force of 470 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 20 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 24.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 25.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 350 N did 350 J of work. How many metres did the object move?
- 27.🏋️ A force of 220 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 290 N did 2030 J of work. How many metres did the object move?
- 29.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 250 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 8 m took 320 J of work. What force was used, in newtons?
- 34.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 250 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 1 m took 10 J of work. What force was used, in newtons?
- 37.🏋️ A force of 140 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 290 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 39.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ Pushing a crate 5 m took 350 J of work. What force was used, in newtons?
Answer key
- through a distance
- 500
- 6
- 300
- 700
- 2
- 1000
- 2
- 200
- 60
- 650
- 4
- 250
- 800
- 350
- 4
- 460
- 5
- 2
- load ÷ effort
- no, work stays the same
- 4700
- 20
- less effort
- 350
- 1
- 1760
- 7
- 100
- 70
- 1750
- 240
- 40
- 120
- 750
- 10
- 1260
- 2900
- 760
- 70
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