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 140 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 2.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 3.🏋️ A force of 180 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 5.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 390 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 300 N did 1800 J of work. How many metres did the object move?
- 8.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 9.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 160 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 12.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 14.🏋️ Pushing a crate 3 m took 1350 J of work. What force was used, in newtons?
- 15.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 16.🏋️ 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?
- 17.🏋️ A force of 450 N did 4500 J of work. How many metres did the object move?
- 18.🏋️ A force of 470 N did 4230 J of work. How many metres did the object move?
- 19.🏋️ A force of 400 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 110 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 21.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ Pushing a crate 5 m took 750 J of work. What force was used, in newtons?
- 23.🏋️ Pushing a crate 10 m took 3200 J of work. What force was used, in newtons?
- 24.🏋️ A 1 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.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 26.🏋️ Pushing a crate 4 m took 600 J of work. What force was used, in newtons?
- 27.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 180 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 3 m took 1410 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 160 N did 1600 J of work. How many metres did the object move?
- 33.🏋️ 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?
- 34.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 6 m took 540 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 190 N pushes a cart 7 m along the floor. How much work is done, in joules?
Answer key
- 980
- less effort
- 1620
- no, work stays the same
- 2
- 780
- 6
- joule (J)
- 360
- 1120
- 3
- 250
- 6
- 450
- 5
- 160
- 10
- 9
- 400
- 990
- 400
- 150
- 320
- 20
- load ÷ effort
- 150
- 2
- 720
- 600
- 470
- 3
- 10
- 250
- 700
- 1500
- 50
- 90
- 150
- 6
- 1330
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