Calculating Tension Needed to Lift 1400 kg Car

Thread starter mortho
Start date Nov 18, 2007
Tags

Car Lift Tension

AI Thread Summary

To calculate the tension needed to lift a 1400 kg car vertically at an acceleration of 0.50 m/s², the gravitational force (Fg) is determined to be 13720 N. The net force (Fnet) required for the upward acceleration is 700 N. The tension in the rope must equal the gravitational force plus the net force, resulting in a total tension of 14420 N. There is confusion regarding whether the tension can be less than the gravitational force, which is not physically plausible in this scenario. Therefore, the correct calculation confirms that the tension must exceed the gravitational force to achieve the desired acceleration.

Nov 18, 2007

mortho

Homework Statement

How much tension must a rope withstand if it is used to accelerate a 1400 kg car vertically upward at 0.50 m/s2?

Homework Equations

Fg=mg F=ma

The Attempt at a Solution

So far i know Fg=13720 and the Fnet is 700 so I'm not sure but do i subtract 700 from 13720?

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Nov 18, 2007

Mindscrape

Would it make sense, physically, if the tension force were less than the gravitational force, as you are saying?

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