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 force of 110 N did 330 J of work. How many metres did the object move?
- 2.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 4.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 5.🏋️ A force of 470 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 6.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ Pushing a crate 6 m took 2940 J of work. What force was used, in newtons?
- 10.🏋️ A force of 20 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 11.🏋️ Pushing a crate 5 m took 2050 J of work. What force was used, in newtons?
- 12.🏋️ A force of 460 N did 3220 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 14.🏋️ A force of 130 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 15.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 16.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 18.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 2 m took 940 J of work. What force was used, in newtons?
- 20.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 21.🏋️ A force of 460 N did 2760 J of work. How many metres did the object move?
- 22.🏋️ A force of 380 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 360 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 230 N did 1150 J of work. How many metres did the object move?
- 25.🏋️ A force of 340 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 26.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 450 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 170 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 250 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Pushing a crate 4 m took 1880 J of work. What force was used, in newtons?
- 34.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 35.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
- 36.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 37.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 40.🏋️ A force of 100 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- 3
- 850
- 1000
- no, work stays the same
- 470
- 700
- 50
- 680
- 490
- 200
- 410
- 7
- 210
- 390
- through a distance
- 60
- 2
- 1000
- 470
- less effort
- 6
- 1140
- 1800
- 5
- 2720
- 1000
- 450
- 510
- 6
- 250
- 700
- 80
- 470
- joule (J)
- 5
- 720
- 5
- 650
- load ÷ effort
- 500
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