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 longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 2.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 250 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 6.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 7.🏋️ 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)
- 8.🏋️ A force of 140 N did 420 J of work. How many metres did the object move?
- 9.🏋️ Pushing a crate 8 m took 640 J of work. What force was used, in newtons?
- 10.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 11.🏋️ A 16 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.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 14.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 15.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 100 N did 500 J of work. How many metres did the object move?
- 17.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 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 smooth ramp is 2 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 110 N did 330 J of work. How many metres did the object move?
- 24.🏋️ A force of 140 N did 280 J of work. How many metres did the object move?
- 25.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 300 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 29.🏋️ 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)
- 30.🏋️ A force of 70 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 450 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 340 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 5 m took 1250 J of work. What force was used, in newtons?
- 35.🏋️ 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)
- 36.🏋️ 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?
- 37.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 330 N did 1320 J of work. How many metres did the object move?
- 39.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 40.🏋️ A force of 280 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- less effort
- 200
- 5
- 750
- 3
- 6
- 400
- 3
- 80
- load ÷ effort
- 480
- 120
- through a distance
- 60
- 150
- 5
- 5
- 360
- 150
- 850
- 200
- 400
- 3
- 2
- 550
- 900
- 950
- 4
- 450
- 560
- 900
- 1500
- 1020
- 250
- 900
- 320
- 250
- 4
- no, work stays the same
- 1400
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