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 smooth ramp is 4 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Pushing a crate 1 m took 190 J of work. What force was used, in newtons?
- 3.🏋️ 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?
- 4.🏋️ Pushing a crate 4 m took 1560 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 190 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 8.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 400 N did 1600 J of work. How many metres did the object move?
- 10.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 430 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 12.🏋️ 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)
- 13.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 80 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 15.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 16.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
- 17.🏋️ 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?
- 18.🏋️ Pushing a crate 1 m took 110 J of work. What force was used, in newtons?
- 19.🏋️ 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?
- 20.🏋️ A force of 130 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 21.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 280 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 80 N did 560 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 26.🏋️ A force of 120 N did 240 J of work. How many metres did the object move?
- 27.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 28.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 29.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ 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?
- 31.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 33.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 260 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 140 N did 980 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 1 m took 240 J of work. What force was used, in newtons?
- 40.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 900
- 190
- 350
- 390
- 3
- 190
- less effort
- 2
- 4
- 950
- 3870
- 100
- 1000
- 240
- no, work stays the same
- 270
- 40
- 110
- 20
- 650
- 850
- 1120
- 7
- 950
- through a distance
- 2
- joule (J)
- 3
- 350
- 250
- 100
- load ÷ effort
- 360
- 1040
- 150
- 7
- 300
- 2
- 240
- 500
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