Question

10. A worker uses a pulley system to raise a 24.0 kg carton 16.5 m. A force of 129 N is exerted and the rope is pulled 33.0 m. a. What is the mechanical advantage of the pulley system?

Answer 1

Answer: Machanical advantage of the machine is 1.86

Explanation: Machanical advantage of a machine is the ratio of the Force to overcome which is the load in this case 24kg * 10= 240N to the force exerted(Effort) to overcome the load in this case 129N.

So, we have

MA = load/effort

= 240N/129N

= 1.86.

Answer 2

The mechanical advantage of the pulley system is equal to 1.82.

Given the following data:

• Mass of carton = 24 kg

• Load distance = 16.5 m

• Effort = 129 Newton

• Effort distance = 33 m

Scientific data:

• Acceleration due to gravity = 9.8 $m/s^2$

To determine the mechanical advantage of the pulley system:

First of all, we would calculate the force acting on the load as follows;

$Force = mg\\\\Force = 24 \times 9.8$

Force = 235.2 Newton

Now, we can solve for mechanical advantage:

$M.A = \frac{Load}{Effort} \\\\M.A=\frac{235.2}{129}$

Mechanical advantage = 1.82.

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