How much tension must a rope withstand if it is used to accelerate a 1210- kg car horizontally along a frictionless surface at 1.20 m/s squared?

The rope can withstand the tension of 1452 N.

Given data:

The mass of car is, m = 1210 kg.

The acceleration of car is, .

Since tension force is acting on the rope which provides an external force to accelerate the car. Then, the tension acting on the rope is equivalent to,

T = F ...................................................(1)

Here, F is the external force causing the acceleration of car. And its value is given as,

F = ma .......................................................(2)

Substitute the value of equation 2 in 1 as,

T= F

T = ma

Thus, the tension force acting on the rope is 1452 N.

Learn more about the tension force here:

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the bal will not change its velocity.