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 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 3.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 380 N did 1140 J of work. How many metres did the object move?
- 5.🏋️ A force of 130 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 150 N did 150 J of work. How many metres did the object move?
- 7.🏋️ A force of 40 N did 280 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 12.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Pushing a crate 8 m took 80 J of work. What force was used, in newtons?
- 14.🏋️ A force of 380 N did 380 J of work. How many metres did the object move?
- 15.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Pushing a crate 2 m took 340 J of work. What force was used, in newtons?
- 19.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 20.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 21.🏋️ A force of 160 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 22.🏋️ 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?
- 23.🏋️ Pushing a crate 6 m took 1500 J of work. What force was used, in newtons?
- 24.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 300 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 200 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 490 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 29.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 240 N did 2400 J of work. How many metres did the object move?
- 31.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 32.🏋️ 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?
- 33.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 380 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A 15 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 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 40 N did 160 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
Answer key
- 150
- 2
- 380
- 3
- 780
- 1
- 7
- 4
- 1000
- 700
- joule (J)
- 130
- 10
- 1
- 100
- 70
- 750
- 170
- through a distance
- load ÷ effort
- 160
- 360
- 250
- 3
- 600
- 600
- 1470
- 3
- 3
- 10
- less effort
- 80
- 4
- 2280
- 150
- 150
- 60
- 750
- 4
- 5
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