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 340 N did 2720 J of work. How many metres did the object move?
- 2.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 250 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 90 N did 360 J of work. How many metres did the object move?
- 7.🏋️ A force of 110 N did 1100 J of work. How many metres did the object move?
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 9.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 11.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 460 N did 3680 J of work. How many metres did the object move?
- 13.🏋️ 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?
- 14.🏋️ A force of 490 N did 4410 J of work. How many metres did the object move?
- 15.🏋️ A 16 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 320 N did 2880 J of work. How many metres did the object move?
- 17.🏋️ A force of 330 N did 2310 J of work. How many metres did the object move?
- 18.🏋️ A force of 340 N did 1700 J of work. How many metres did the object move?
- 19.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ Pushing a crate 7 m took 1610 J of work. What force was used, in newtons?
- 21.🏋️ A force of 320 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 22.🏋️ Pushing a crate 4 m took 1600 J of work. What force was used, in newtons?
- 23.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 24.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 320 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ An 8 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.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 28.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 7 m took 280 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 9 m took 3960 J of work. What force was used, in newtons?
- 34.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 80 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 430 N did 2150 J of work. How many metres did the object move?
- 37.🏋️ 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)
- 38.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 40.🏋️ 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?
Answer key
- 8
- 450
- 300
- 500
- 330
- 4
- 10
- no, work stays the same
- 800
- 2
- 30
- 8
- 160
- 9
- 800
- 9
- 7
- 5
- 950
- 230
- 1600
- 400
- less effort
- 850
- 2880
- 240
- joule (J)
- 180
- 230
- 40
- 6
- 4
- 440
- 520
- 560
- 5
- 650
- 250
- load ÷ effort
- 130
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