A 10 kg object is hanging at rest from a rope. What is the tension in the rope?
Practice Questions
Q1
A 10 kg object is hanging at rest from a rope. What is the tension in the rope?
0 N
10 N
100 N
50 N
Questions & Step-by-Step Solutions
A 10 kg object is hanging at rest from a rope. What is the tension in the rope?
Correct Answer: 100 N
Step 1: Identify the mass of the object. In this case, the mass is 10 kg.
Step 2: Understand that the object is hanging at rest, which means the forces acting on it are balanced.
Step 3: Recall the formula for weight, which is weight (W) = mass (m) * acceleration due to gravity (g).
Step 4: Use the value of acceleration due to gravity, which is approximately 10 m/s².
Step 5: Calculate the weight of the object: W = 10 kg * 10 m/s².
Step 6: Perform the multiplication: W = 100 N.
Step 7: Since the object is at rest, the tension (T) in the rope must equal the weight of the object. Therefore, T = 100 N.
Weight and Tension – The tension in a rope supporting a hanging object at rest is equal to the weight of the object, calculated using the formula T = mg.
