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.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 2.🏋️ 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?
- 3.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 4.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 9.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 10.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 490 N did 1470 J of work. How many metres did the object move?
- 12.🏋️ A force of 380 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 220 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 14.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 16.🏋️ A force of 10 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 300 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 23.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 25.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 400 N did 1200 J of work. How many metres did the object move?
- 27.🏋️ A force of 350 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 220 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 4 m took 800 J of work. What force was used, in newtons?
- 30.🏋️ A force of 390 N did 1170 J of work. How many metres did the object move?
- 31.🏋️ A force of 100 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 30 N did 60 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 9 m took 630 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 250 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 39.🏋️ 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?
- 40.🏋️ Pushing a crate 3 m took 1440 J of work. What force was used, in newtons?
Answer key
- load ÷ effort
- 160
- 5
- 700
- 200
- 5
- 3
- 2
- less effort
- 100
- 3
- 760
- 880
- 80
- no, work stays the same
- 40
- 350
- 1000
- 360
- 850
- 2400
- joule (J)
- 250
- through a distance
- 280
- 3
- 700
- 660
- 200
- 3
- 600
- 2
- 70
- 600
- 320
- 250
- 400
- 5
- 90
- 480
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