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.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 2.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A force of 300 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 7.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 330 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 10.🏋️ Pushing a crate 1 m took 410 J of work. What force was used, in newtons?
- 11.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 12.🏋️ A force of 150 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A 14 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.🏋️ Pushing a crate 8 m took 3200 J of work. What force was used, in newtons?
- 15.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 400 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 17.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
- 19.🏋️ A force of 490 N did 1960 J of work. How many metres did the object move?
- 20.🏋️ Pushing a crate 9 m took 1170 J of work. What force was used, in newtons?
- 21.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 22.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 110 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 24.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 290 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 80 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 5 m took 1450 J of work. What force was used, in newtons?
- 31.🏋️ 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?
- 32.🏋️ A force of 330 N did 660 J of work. How many metres did the object move?
- 33.🏋️ A force of 340 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 300 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 2 m took 400 J of work. What force was used, in newtons?
- 36.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 10 N did 90 J of work. How many metres did the object move?
Answer key
- through a distance
- 90
- 2700
- 300
- 390
- less effort
- 400
- 900
- 1320
- 410
- no, work stays the same
- 300
- 560
- 400
- 500
- 2000
- 6
- 150
- 4
- 130
- joule (J)
- 550
- 770
- 50
- 300
- 580
- 4
- 800
- 240
- 290
- 360
- 2
- 1700
- 1800
- 200
- 200
- 5
- 550
- 3
- 9
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