Question

How much tension must a rope withstand if it is used to accelerate a 6311 kg car vertically upwards at 5.2 m/s^2? Round your answer to the nearest hundredth, and don't forget your units.

Answer 1

The tension the rope must withstand is 32775.2 N.

Step-by-step explanation:

To find the tension the rope must withstand, we can use Newton's second law, which states that the force exerted on an object is equal to the mass of the object multiplied by its acceleration. In this case, the mass of the car is 6311 kg and the acceleration is 5.2 m/s². So, the force exerted on the car is:

Force = mass × acceleration

Force = 6311 kg × 5.2 m/s²

Force = 32775.2 N

Therefore, the tension the rope must withstand is 32775.2 N.