# "Find Tension Force Between Two Hanging Blocks

In summary, tension force is a type of force that occurs when an object is pulled or stretched. It can be calculated using the formula T = mg and is affected by factors such as mass, angle of the rope, and acceleration due to gravity. Tension force can be measured using a spring scale and is important in physics for understanding the behavior of objects and in real-life applications such as bridges and elevators.

## Homework Statement

A block is hanging from a rope which has another rope connected to another block underneath.
The top block has a mass of 60 Kg and the bottom block has a mass of 30 Kg. Both blocks are accelerated 1.2 m/s^2 upward. What is the tension force between the two blocks? (Assume rope is mass-less)

F = ma

## The Attempt at a Solution

I figured I could get the tension force of the top rope by combining both masses together.

F = ma = (90 Kg)(1.2 m/s^2) = 108 N
F = T - mg; => T = F + mg = 108N - (90 Kg)(9.80 m/s)
T = 990 N

I don't even know where to begin to find the tension force between the two blocks.

#### Attachments

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When the blocks are accelerating upward, the net acceleration is (a + g).
So F = (m1+m2)(a + g). And for m1
F - T = m1*a

Now find T.

Sum of the forces in the why conclude:

Fy = T - (m1+mg)g = (m1+m2)a; T is uniform through out the system

therefor T = (m1+m2)(a+g)

## What is tension force?

Tension force is a type of force that occurs when an object is pulled or stretched. It is a reaction force that occurs in a rope, string, or other type of flexible material when it is pulled on by an external force.

## How is tension force calculated?

Tension force can be calculated using the formula T = mg, where T is the tension force, m is the mass of the object, and g is the acceleration due to gravity. If there are multiple objects connected by the same rope, the tension force will be the same for all objects.

## What factors affect the tension force between two hanging blocks?

The tension force between two hanging blocks is affected by the mass of the blocks, the angle of the rope, and the acceleration due to gravity. The tension force increases as the mass of the blocks increases and as the angle of the rope decreases. It also increases if the acceleration due to gravity increases, such as when the blocks are on a planet with a stronger gravitational pull.

## How can tension force be measured?

Tension force can be measured using a spring scale, which measures the amount of force needed to stretch or compress a spring. The spring scale can be attached to one end of the rope and the tension force can be read directly from the scale.

## Why is tension force important in physics?

Tension force is important in physics because it is a fundamental force that helps us understand the behavior of objects when they are pulled or stretched. It is also used in many real-life applications, such as bridges, cables, and elevators, where tension forces play a crucial role in maintaining stability and balance.

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