Final answer:
To lift a 200N load with a lever, where the load distance is 30cm and the effort distance is 60cm, the effort required is calculated to be 100N.
Step-by-step explanation:
To calculate the amount of effort required to lift a load of 200N using a lever, we can use the principle of levers which states that the effort force times the effort distance from the fulcrum is equal to the load force times the load distance from the fulcrum. In this case, the effort distance is twice the load distance, which means the effort force will be half the load force if we ignore friction and assume a perfect (100% efficient) lever.
Using the formula:
- Effort Force (E) x Effort Distance (De) = Load Force (L) x Load Distance (Dl)
Plugging in the numbers:
From this equation, we can solve for the effort force (E):
- E = (200N x 30cm) / 60cm
- E = 6000Ncm / 60cm
- E = 100N
Therefore, the amount of effort needed to lift the 200N load with the given lever dimensions is 100N.