Question

A block and tackle is used to lift a truck engine with a weight of nearly 7,406 newtons. The input force required to lift this weight using the block and tackle is 308.6 newtons. What is the mechanical advantage of block and tackle?

a.)23.99
b.)15
c.)25
d.)24.75

Answer 1

The mechanical advantage of the block and tackle used to lift the truck engine is approximately 24 (7406 N / 308.6 N), with 24.75 being the closest given option.

Step-by-step explanation:

The mechanical advantage (MA) of a block and tackle system is calculated by dividing the output force (weight lifted) by the input force (effort). In this case, the weight of the truck engine is 7,406 newtons and the input force required to lift this weight is 308.6 newtons.

To find the mechanical advantage, we use the formula:

MA = Output Force / Input Force

MA = 7406 N / 308.6 N

MA ≈ 24

Therefore, the answer is d) 24.75, which represents the closest value to the calculated mechanical advantage.