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 machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 2.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 3.🏋️ A force of 350 N did 350 J of work. How many metres did the object move?
- 4.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 5.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 9.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 10.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
- 13.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 260 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 390 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 10 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 4 m took 160 J of work. What force was used, in newtons?
- 20.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 140 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 23.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 260 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 5 m took 400 J of work. What force was used, in newtons?
- 26.🏋️ A 4 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 machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 28.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 7 m took 1120 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ Pushing a crate 8 m took 960 J of work. What force was used, in newtons?
- 32.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 34.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 430 N did 860 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 39.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 180 N pushes a cart 4 m along the floor. How much work is done, in joules?
Answer key
- 2
- joule (J)
- 1
- 6
- 300
- 950
- 360
- less effort
- through a distance
- 700
- 510
- 50
- 450
- 900
- 50
- 1040
- 1560
- 20
- 40
- 500
- 420
- no, work stays the same
- 540
- 260
- 80
- 80
- 4
- 4
- 160
- 850
- 120
- 570
- 70
- 90
- 3
- 5
- 2
- 2
- 330
- 720
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