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Chapter 4: Q10. (page 101)

How much tension must a cable withstand if it is used to accelerate a 1200 kg car vertically upward at 0.70 m/s2?

Short Answer

Expert verified

The tension in the cable is 12600 N.

Step by step solution

01

Step 1. Given data and assumption

The tension in the cable is equal to the weight and the force due to the acceleration.

Given data:

The mass of the car is m=1200kg.

The upward acceleration of the car is a=0.70ms2.

The weight of the car is acting downward on the car.

Assumption:

Let T be the tension on the cable.

02

Step 2. Calculation of the tension

Now, applying Newton鈥檚 second law on the car,

ma=T-mgT=mg+a=1200kg脳9.80ms2+0.70ms2=12600N

Hence, the tension on the cable is 12600 N.

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