# Calculate the magnitude of the tension force in the rope

Can anyone help me on two problems of my hw?

1) A tow rope is used to pull a 1050-kg along a level road, initially accelerating it from rest at 1.50m/s^2 for a duration of 12.0seconds. Calculate the magnitude of the tension force in the rope during this acceleration.(ignore friction in the problem)

My answer was 394N but i want to make sure if that was correct.

2) As a stoplight is approached, the person riding in the towed car applies the brakes and brings it to a stop in an additional 5.00s. Calculate the magnitude of the force of the brakes on the car, assuming the brakes are applied evenly so that the deceleration is constant.

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NateTG
Homework Helper
Regarding question 1:

This is clearly an "F=ma" question. A mass of 1050 KG and an acceleration 1.5 m/s^2should give a force of at least 1500N

Question 2:
There's a bunch of ways to do this one. One of the easiers ways is to use v=at to find the starting velocity, and then the force in a similar fashion. Clearly the force here is larger than the force for question 1.

Ok, I got the initial velocity for ques.2 and where do I go from there?

NateTG