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8 months ago

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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

1 answer:

umka2103 [35]8 months ago

6 0

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.

<h3 /><h3>What is tension?</h3>

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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