Question

A man is standing on a platform that is connected to a pulley arrangement, as the drawing shows. By pulling upward on the rope with a force the man can raise the platform and himself. The total mass of the man plus the platform is 118 kg. What pulling force should the man apply to create an upward acceleration of 1.20 m/s2?

Answer 1

The man should apply a pulling force of 141.6 N to create an upward acceleration of 1.20 m/s² for the combined mass of the man and the platform.

How to determine the pulling force the man should apply

To determine the pulling force the man should apply to create an upward acceleration of 1.20 m/s² for the combined mass of the man and the platform, use Newton's second law of motion.

Newton's second law states that the force applied to an object is equal to the mass of the object multiplied by its acceleration:

Force = mass * acceleration

Given:

Total mass of the man plus the platform = 118 kg

Upward acceleration = 1.20 m/s²

Let's calculate the required pulling force:

Force = mass * acceleration

Force = 118 kg * 1.20 m/s²

Force = 141.6 N

Therefore, the man should apply a pulling force of 141.6 N to create an upward acceleration of 1.20 m/s² for the combined mass of the man and the platform.

Answer 2

The pulling force that should the man apply to create an upward acceleration is 141.6 N

Step-by-step explanation:

Newton's second law can be stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

Newton's Second law can be expressed in the following formula:

F=m*a

Where:

F=Force

m=mass

a= acelleration

Then, we replace given values in the formula to know the force:

`F=118Kg*1.20(m)/(s^(2) ) \\F=141.6 N`