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.
NameDateTime takenScore ___ / 40
- 1.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ Pushing a crate 3 m took 120 J of work. What force was used, in newtons?
- 3.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 4.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 1 m took 40 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 7.🏋️ A 2 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 10 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 50 N did 150 J of work. How many metres did the object move?
- 10.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 11.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 30 N did 120 J of work. How many metres did the object move?
- 13.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 15.🏋️ A force of 420 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 17.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 8 m took 3920 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 360 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 220 N did 2200 J of work. How many metres did the object move?
- 22.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 360 N did 2880 J of work. How many metres did the object move?
- 26.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 5 m took 1550 J of work. What force was used, in newtons?
- 29.🏋️ A 20 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 660 J of work. What force was used, in newtons?
- 31.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 32.🏋️ 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?
- 33.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Pushing a crate 1 m took 500 J of work. What force was used, in newtons?
- 35.🏋️ A force of 410 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 8 m took 2720 J of work. What force was used, in newtons?
- 40.🏋️ 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)
Answer key
- 70
- 40
- joule (J)
- 750
- 40
- 4
- 40
- 20
- 3
- 3
- 120
- 4
- 4
- 3
- 840
- less effort
- 2
- 490
- 2
- 1080
- 10
- 950
- 3
- 3
- 8
- 250
- 900
- 310
- 800
- 220
- load ÷ effort
- 140
- 130
- 500
- 2870
- 300
- 5
- 840
- 340
- 1000
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