# Solve T2 for the Pulling Force T3 = 98.0 N

• lovemake1
In summary, the three blocks on the table are connected by a massless cord and pulled with a force of 98.0 N to the right. The masses of the blocks are 2.5kg, 9.5kg, and 1.5kg respectively. The coefficient of kinetic friction is 0.051. Using the equations Fnet = ma and T2 - Fk2 = 9.5a, the acceleration of the system is calculated to be 1.336m/s^2 and the tension in the second block is 60.173N.
lovemake1

## Homework Statement

1. Homework Statement
There are three blocks on a table. They are connected by a massless cord and pulled to the right. From rigt to left, it follows: T3, block 3, T2, block 2, T1, block 1
m1: 2.5kg
m2: 9.5kg
m3: 1.5kg
mu kinetic: .051
The pulling force is equal to T_3 = 98.0 N. What is the tension T_2?

## Homework Equations

fnet = ma
Fapp(T3) - Fk3 - Fk2 - Fk1 = ma
T2 - Fk2 = 9.5a

## The Attempt at a Solution

well firstly i tried finding the acceleration of the system using all the forces being applied.
i did Tension 3 - all the friction = ma
and acceleration comes out to be 1.336m/s^2

then i sub this back into the 2nd block system equation.

T2 - Fk2 = 9.5a
and Tension2 comes out to be 60.173N.
Is this correct? if i missed a step or did somethign wrong please correct me thanks.

Your method is correct, but I don't agree with the value you got for the acceleration. Can you show exactly what numbers you put in this equation and how you solved for a?

Fapp(T3) - Fk3 - Fk2 - Fk1 = ma

## 1. How do you solve for T2 when T3 equals 98.0 N?

To solve for T2 in this scenario, you will need to use the formula T2 = T3 / sin(θ), where θ is the angle between T2 and T3. In order to find this angle, you will need to have additional information about the forces acting on the system.

## 2. Can you explain the relationship between T2 and T3?

T2 and T3 are two forces acting on a system in different directions. They are related through the formula T2 = T3 / sin(θ), where θ is the angle between the two forces. This formula shows that the magnitude of T2 is dependent on the magnitude of T3 and the angle between them.

## 3. What is the unit of measurement for T3 in this equation?

The unit of measurement for T3 in this equation is Newtons (N), which is the standard unit for force in the International System of Units (SI).

## 4. Is it possible to solve for T2 if the value of T3 is unknown?

No, it is not possible to solve for T2 if the value of T3 is unknown. The formula T2 = T3 / sin(θ) requires the value of T3 in order to find the magnitude of T2.

## 5. Are there any other ways to solve for T2 in this scenario?

Yes, there are other ways to solve for T2 in this scenario. If you have information about the magnitude and direction of another force acting on the system, you can use the formula T2 = √(T3^2 + T4^2 + 2T3T4cos(θ)), where T4 is the magnitude of the additional force and θ is the angle between T3 and T4. This formula is known as the Law of Cosines and can also be used to solve for T2.

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