4.) An 800-kg elevator is lifted vertically by a strong rope. Find the acceleration of the elevator if the rope tension is (a) 9000 N, (b) 7840 N, and (c) 2000 N.

A) 11.25 m/s2

B) 9.8m/s2

C) 2.5 m/s2

Explanation:

Based on Newton's laws of motion, we know that the acceleration experienced by an object is directly proportional to the force acting on it, with its mass being the constant of proportionality.

Simply, we can represent this using the formula: F = Ma

Where F = force (N)

M = mass of the object (800kg)

a = acceleration of the object.

Making acceleration the subject of the formula, we have

acceleration = Force / mass

We can now use this to solve for the various forces.

A) Force = 9000 N

a = 9000/ 800 = 11.25 m/s2

B) Force = 7840 N

a = 7840/800 = 9.8m/s2

C) Force = 2000N

a = 2000/800 = 2.5 m/s2

i think it's 35 meters