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.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 2.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 3.🏋️ A force of 410 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 4.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 5.🏋️ 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?
- 6.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A 7 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 force of 150 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ Pushing a crate 2 m took 400 J of work. What force was used, in newtons?
- 10.🏋️ A force of 150 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 240 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 90 N did 90 J of work. How many metres did the object move?
- 13.🏋️ A force of 180 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 14.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 16.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 4 m took 400 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 22.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 24.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 2 m took 660 J of work. What force was used, in newtons?
- 26.🏋️ 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?
- 27.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
- 28.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 170 N did 1190 J of work. How many metres did the object move?
- 30.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ 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)
- 35.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 270 N did 2700 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 200 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
Answer key
- load ÷ effort
- through a distance
- 4100
- less effort
- 260
- 800
- 140
- 1200
- 200
- 900
- 720
- 1
- 900
- 570
- no, work stays the same
- 300
- 350
- 3
- 100
- 6
- 2
- 1000
- 6
- 850
- 330
- 300
- 5
- 200
- 7
- 90
- 480
- 160
- 900
- 150
- 600
- 10
- 150
- 3
- 200
- joule (J)
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