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 longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 2.🏋️ 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?
- 3.🏋️ A force of 470 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 4.🏋️ Pushing a crate 9 m took 3780 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 6.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 7.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 8.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 9.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 10.🏋️ A force of 200 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 220 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 13.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 130 N did 1300 J of work. How many metres did the object move?
- 15.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 110 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 5 m took 1550 J of work. What force was used, in newtons?
- 19.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ 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?
- 21.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 23.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 140 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 26.🏋️ 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?
- 27.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 70 N did 560 J of work. How many metres did the object move?
- 29.🏋️ A force of 250 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 280 N did 2800 J of work. How many metres did the object move?
- 31.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 180 N did 1800 J of work. How many metres did the object move?
- 34.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 36.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ Pushing a crate 5 m took 700 J of work. What force was used, in newtons?
- 38.🏋️ A force of 350 N did 350 J of work. How many metres did the object move?
- 39.🏋️ Pushing a crate 1 m took 160 J of work. What force was used, in newtons?
- 40.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
Answer key
- less effort
- 50
- 2820
- 420
- 3
- no, work stays the same
- 2
- 410
- load ÷ effort
- 200
- 660
- joule (J)
- 100
- 10
- 700
- 6
- 770
- 310
- 450
- 360
- 2
- 6
- 210
- 200
- 1400
- 20
- 960
- 8
- 1000
- 10
- 300
- 5
- 10
- 170
- 3
- 120
- 140
- 1
- 160
- through a distance
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