Calculate the magnitude of the tension force in the rope

AI Thread Summary
The discussion revolves around calculating the tension force in a tow rope and the braking force on a towed car. For the first problem, the correct calculation using F=ma indicates that the tension force should be 1575N, not the initially stated 394N. The second problem involves determining the braking force after the car decelerates to a stop, with participants discussing methods to find the initial velocity and acceleration. The change in velocity and time are used to derive the necessary acceleration for the braking force calculation. Overall, the thread emphasizes the application of physics principles to solve these problems accurately.
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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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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?
 
The change in velocity is equal to the acceleration multiplied by the time. You know the change in velocity, and the time, so that should give you the acceleration.
 
wouldn't that give me an acceleration of 1.5 again?
 
Ok i got it. thanks NateTG for your help!
 
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