Answer :
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.
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