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 130 N did 130 J of work. How many metres did the object move?
- 2.🏋️ A force of 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 3.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 4.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 5.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load × effort (d) load + effort
- 6.🏋️ A force of 320 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 240 N did 960 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 9.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 10.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 12.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 260 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ Pushing a crate 8 m took 720 J of work. What force was used, in newtons?
- 17.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 200 N did 200 J of work. How many metres did the object move?
- 20.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A 13 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 force of 450 N did 3600 J of work. How many metres did the object move?
- 23.🏋️ 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?
- 24.🏋️ A force of 70 N did 560 J of work. How many metres did the object move?
- 25.🏋️ Pushing a crate 2 m took 300 J of work. What force was used, in newtons?
- 26.🏋️ A force of 80 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 27.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 2 m took 360 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 32.🏋️ A force of 190 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 2 m took 860 J of work. What force was used, in newtons?
- 34.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 110 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 5 m took 600 J of work. What force was used, in newtons?
- 37.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 38.🏋️ A force of 500 N did 2500 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 40.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 1
- 140
- through a distance
- 3
- load ÷ effort
- 3200
- 4
- 5
- 6
- 800
- less effort
- 300
- 1000
- 520
- 640
- 90
- 160
- 150
- 1
- 320
- 650
- 8
- 150
- 8
- 150
- 560
- 50
- 6
- 180
- 200
- no, work stays the same
- 1900
- 430
- 1170
- 550
- 120
- joule (J)
- 5
- 5
- 300
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