Tension in String: Solving 10kg Block Problem

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NIn summary, the tension in the string attached to a 10 kg block at rest on a frictionless surface and a rigid wall, with a 50 N force applied at a 30 degree angle, is 25N.
  • #1
ride4life
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Homework Statement


A 10 kg block is at rest on a frictionless surface. The block is attached by a light inelastic string to a rigid wall. A force of 50 N is applied to the mass as shown in the diagram (attachment).

Homework Equations


The tension in the string is
a 148N
a 50N
c 43.3N
d 25N

The Attempt at a Solution


I think the tension on the string is 25N because sin30 is 0.5, and 0.5 x 50 = 25
 

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  • #2
I can't see the diagram yet. Perhaps you could describe the diagram.
 
  • #3
ride4life said:
I think the tension on the string is 25N because sin30 is 0.5, and 0.5 x 50 = 25
That's incorrect. What are the horizontal and vertical components of that 50 N force?
 
  • #4
There's a 10kg blck at rest on a frictionless surface. On the left of it is a string attached to it which is attached to the rigid wall as well. On the right a force of 50N is applied to it at 30 degrees to the horizontal.
 
Last edited:
  • #5
ride4life: I agree with Doc Al. Your current answer is incorrect.
 
  • #6
adjacent
 

1. What is tension in a string?

Tension in a string is the force that is transmitted through the string when it is pulled at both ends. It is a measure of how much the string is stretched or compressed.

2. How do you calculate tension in a string?

Tension in a string can be calculated using the formula T = mg, where T is the tension, m is the mass of the object attached to the string, and g is the acceleration due to gravity.

3. What is the significance of solving a 10kg block problem?

The 10kg block problem is a common example used in physics to demonstrate the concept of tension in a string. By solving this problem, one can understand the relationship between the mass of an object, the tension in a string, and the acceleration due to gravity.

4. How do you solve a 10kg block problem with tension in a string?

To solve a 10kg block problem with tension in a string, you first need to draw a free-body diagram of the block and identify all the forces acting on it. Then, use the formula T = mg to calculate the tension in the string. Finally, use Newton's second law of motion (F = ma) to calculate the acceleration of the block.

5. What are some real-world applications of tension in a string?

Tension in a string has many real-world applications, such as in construction (e.g. cables supporting a bridge), sports (e.g. a tennis racket's strings), and musical instruments (e.g. guitar strings). It is also an important concept in understanding the mechanics of pulleys and levers.

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