Calculating Tension in a String: Two Masses on a Horizontal Surface

In summary, two blocks of masses 2kg and 3kg are connected by a string and a force of 10N is applied to the 3kg block. The tension in the string between them can be calculated using Newton's second law for both masses. The answer is 4N. Friction is not a factor in this problem as it has not been discussed yet.
  • #1
Michael89
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Homework Statement


Two blocks of masses 2kg (a) and 3kg (b) rest on a smooth horizontal surface and are connected by a taut string of negligible mass. A force of 10 N is applied to the 3kg mass as shown in figure (below). Calculate the tension in the string between them.

The answer is 4N

http://www.noosahill09.com/images/upload1.jpg

Homework Equations


Friction has not been discussed yet, it is in the next chapter.


The Attempt at a Solution


I can figure out how to calculate the tension on a string of a pulley or the tension of a string with a hanging object attached... but because there is no gravity to work out I don't know how to calculate this?

Any help is appreciated!
 
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  • #2


Write out Newton's second law for both masses.
 
  • #3


You should also reexamine the part of your subject line that says that there is no acceleration.
 

1. How do you calculate the tension in a string with two masses on a horizontal surface?

To calculate the tension in a string with two masses on a horizontal surface, you will need to use the equation T = m1g + m2g, where T is the tension, m1 and m2 are the masses of the objects, and g is the acceleration due to gravity. This equation assumes that the string is massless and that the surface is frictionless.

2. What is the purpose of calculating tension in a string with two masses on a horizontal surface?

Calculating the tension in a string with two masses on a horizontal surface allows you to understand the forces acting on the string and objects. This information can be useful in various engineering and physics applications, such as designing structures or analyzing the motion of objects.

3. Can the tension in a string with two masses on a horizontal surface be negative?

No, the tension in a string cannot be negative. Tension is a scalar quantity, which means it only has a magnitude and no direction. Thus, it is always a positive value, even if the objects are pulling on the string in opposite directions.

4. How does the angle of the string affect the tension in a string with two masses on a horizontal surface?

The angle of the string does not affect the tension in a string with two masses on a horizontal surface. As long as the string remains taut, the tension will be the same regardless of the angle the string makes with the surface.

5. What are the units of measurement for tension in a string with two masses on a horizontal surface?

The units of measurement for tension are typically newtons (N) or pounds (lbs). However, any unit of force can be used as long as it is consistent with the units of mass and acceleration used in the calculation.

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