Spring Scale Tension Force Problem

• whoopie88
In summary, the conversation discusses calculating the acceleration due to gravity at a specific location using a spring scale and the given information of a TV's mass and scale reading. The relevant equations are mentioned and a solution attempt is provided, but the confusion arises from having two variables. It is then clarified that the scale reading is taken with the TV at rest, leading to the conclusion that there is no acceleration and the value of 'g' is not 9.81 in this problem.
whoopie88

Homework Statement

You place a 8.10-kg television on a spring scale. If the scale reads 77.95 N, what is the acceleration due to gravity at that location?

f=ma
fg=mg
fnet=mAnet
Ff=μῦF

The Attempt at a Solution

Fnet = T - Fg
mAnet = T - Fg
8.1(Anet) = T - 8.1(9.81)

Now I don't know what to do from here because I have 2 variables.. Help?

The scale reading is taken with the TV at rest, so that means there is no acceleration. So how much is F_net?
The scale reading, T, is given.
You are trying to solve for 'g', which is not 9.81 in this problem.

1. What is a spring scale?

A spring scale is a scientific instrument used to measure the force exerted by an object. It consists of a coiled spring attached to a metal hook and a calibrated scale to measure the force in units of weight or mass.

2. How does a spring scale measure tension force?

A spring scale measures tension force by attaching the object to the metal hook and pulling it downwards. As the object is pulled, the spring stretches and the scale measures the amount of force required to extend the spring. This force is equal to the tension force exerted by the object.

3. What is the formula for calculating tension force using a spring scale?

The formula for calculating tension force using a spring scale is F = kx, where F is the force exerted by the object, k is the spring constant, and x is the displacement of the spring. The spring constant is a measure of the stiffness of the spring and can be found by conducting calibration tests with known weights.

4. What are some common applications of spring scale tension force problems?

Spring scale tension force problems are commonly used in physics experiments and engineering projects to measure the force exerted by objects such as springs, ropes, and cables. They are also used in industries such as manufacturing and construction to ensure the safety and stability of structures and equipment.

5. How can I ensure accurate measurements when using a spring scale for tension force problems?

To ensure accurate measurements when using a spring scale for tension force problems, it is important to use a properly calibrated scale and to follow the manufacturer's instructions for use. It is also important to keep the scale clean and free from any obstructions or damage that may affect its accuracy. Additionally, performing multiple trials and calculating the average of the results can help to reduce any errors or inconsistencies in the measurements.

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