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 smooth ramp is 12 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Pushing a crate 6 m took 1680 J of work. What force was used, in newtons?
- 3.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 4.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 5.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 300 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 7.🏋️ A 15 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 force of 390 N did 1560 J of work. How many metres did the object move?
- 9.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 350 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 440 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 70 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 14.🏋️ 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?
- 15.🏋️ 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)
- 16.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 17.🏋️ A force of 300 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 190 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 19.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 330 N did 1980 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 5 m took 250 J of work. What force was used, in newtons?
- 24.🏋️ A force of 280 N did 2520 J of work. How many metres did the object move?
- 25.🏋️ Pushing a crate 8 m took 2080 J of work. What force was used, in newtons?
- 26.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 160 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 90 N did 360 J of work. How many metres did the object move?
- 29.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 30.🏋️ A force of 110 N did 220 J of work. How many metres did the object move?
- 31.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 370 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 34.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 35.🏋️ A force of 170 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 380 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 37.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 140 N did 1120 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 8 m took 2960 J of work. What force was used, in newtons?
Answer key
- 900
- 280
- 5
- joule (J)
- 6
- 900
- 450
- 4
- 500
- 260
- 3500
- 2200
- 560
- 180
- 1000
- no, work stays the same
- 3000
- 190
- 100
- 5
- 3
- 6
- 50
- 9
- 260
- 640
- 320
- 4
- less effort
- 2
- 20
- 1000
- 740
- through a distance
- 850
- 380
- 4
- 8
- 6
- 370
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