Question

Joey is riding in an elevator which is accelerating upwards at 2.0 m/s2. The elevator weighs 300.0 kg, and Joey weighs 60.0 kg. What is the tension in the cable that pulls the elevator upwards?
A) 4200 N
B) 9800 N
C) 3700 N
D) 5200 N

Answer 1

The tension in the cable that pulls the elevator upwards with an acceleration of 2.0 m/s² is 4200 N. The right option is A) 4200 N.

What is tension?

Tension is defined as the force transmitted through a rope, string or wire when pulled by forces acting from opposite sides.

To calculate the tension in the cable, we use the formula below.

Formula:

• T = mg+ma............ Equation 1

Where:

• T = Tension in the cable
• m = Mass of the Joey and the elevator
• a = Acceleration
• g = Acceleration due to gravity

From the question,

Given:

• m = (300+60) = 360 kg
• a = 2 m/s²
• g = 9.8 m/s²

Substitute these values into equation 2

• T = (360×9.8)+(360×2)
• T = 3528+720
• T = 4248 N
• T ≈ 4200 to the nearest hundred.

Hence,  the tension in the rope is 4200 N, the right option is A) 4200 N.

Learn more about tension here: brainly.com/question/24994188

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