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 450 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 150 N did 750 J of work. How many metres did the object move?
- 3.🏋️ Pushing a crate 2 m took 840 J of work. What force was used, in newtons?
- 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.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 7.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 340 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 10.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 11.🏋️ A force of 500 N did 500 J of work. How many metres did the object move?
- 12.🏋️ A force of 300 N did 300 J of work. How many metres did the object move?
- 13.🏋️ A force of 350 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 14.🏋️ 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?
- 15.🏋️ A 6 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 force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 3 m took 1200 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 490 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 20.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 21.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 22.🏋️ A force of 80 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 190 N did 1520 J of work. How many metres did the object move?
- 24.🏋️ A force of 140 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 230 N did 1610 J of work. How many metres did the object move?
- 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 4 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 smooth ramp is 12 m long and rises 3 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 20 N did 100 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 31.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 32.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 33.🏋️ A force of 360 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 2 m took 100 J of work. What force was used, in newtons?
- 37.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, always (d) yes, by half
- 38.🏋️ 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)
- 39.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
Answer key
- 4500
- 5
- 420
- 300
- 220
- 5
- 260
- 100
- 2720
- through a distance
- 1
- 1
- 350
- 300
- 300
- 1400
- 400
- 2
- 2940
- load ÷ effort
- less effort
- 240
- 8
- 560
- 7
- 20
- 200
- 950
- 5
- 6
- 5
- joule (J)
- 3600
- 1170
- 6
- 50
- no, work stays the same
- 200
- 750
- 6
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