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 force of 70 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 2.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 360 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 5.🏋️ A force of 140 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 6.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ 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)
- 8.🏋️ A force of 300 N did 1800 J of work. How many metres did the object move?
- 9.🏋️ A force of 310 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 170 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 12.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 13.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 140 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 15.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 16.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 17.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 2 m took 100 J of work. What force was used, in newtons?
- 19.🏋️ A force of 130 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 20.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 21.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 110 N did 110 J of work. How many metres did the object move?
- 23.🏋️ A force of 90 N did 270 J of work. How many metres did the object move?
- 24.🏋️ A force of 130 N did 390 J of work. How many metres did the object move?
- 25.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 26.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 27.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 160 N did 1120 J of work. How many metres did the object move?
- 31.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 250 N did 1000 J of work. How many metres did the object move?
- 34.🏋️ A force of 250 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 35.🏋️ 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)
- 36.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 38.🏋️ 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?
- 39.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
Answer key
- 280
- 6
- 1080
- less effort
- 560
- 900
- 400
- 6
- 1550
- 1190
- 5
- 3
- 650
- 700
- no, work stays the same
- through a distance
- 4
- 50
- 1300
- 3
- 60
- 1
- 3
- 3
- 6
- load ÷ effort
- 50
- 450
- 3
- 7
- 6
- 5
- 4
- 1000
- 50
- 40
- 5
- 300
- 50
- 130
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