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 450 N did 2250 J of work. How many metres did the object move?
- 2.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 3.🏋️ A force of 70 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 50 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 5.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
- 7.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 8.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 11.🏋️ A force of 190 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 370 N did 1480 J of work. How many metres did the object move?
- 14.🏋️ Pushing a crate 6 m took 2820 J of work. What force was used, in newtons?
- 15.🏋️ A force of 120 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 370 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 7 m took 490 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 5 m took 450 J of work. What force was used, in newtons?
- 20.🏋️ 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)
- 21.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 23.🏋️ 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)
- 24.🏋️ A force of 230 N did 1840 J of work. How many metres did the object move?
- 25.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ 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?
- 28.🏋️ A force of 430 N did 1720 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 1 m took 10 J of work. What force was used, in newtons?
- 30.🏋️ 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?
- 31.🏋️ A force of 220 N did 1540 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 6 m took 360 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 2 m took 380 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 10 m took 4200 J of work. What force was used, in newtons?
- 35.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 37.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 130 N did 520 J of work. How many metres did the object move?
- 39.🏋️ 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?
- 40.🏋️ A force of 330 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- 5
- less effort
- 70
- 350
- 120
- 150
- no, work stays the same
- 850
- 1000
- through a distance
- 1710
- 420
- 4
- 470
- 720
- 2960
- 70
- 3
- 90
- 900
- 800
- 3
- 50
- 8
- 600
- 360
- 20
- 4
- 10
- 400
- 7
- 60
- 190
- 420
- 30
- joule (J)
- 1000
- 4
- 680
- 1650
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