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A 10 kg object is hanging at rest from a rope. What is the tension in the rope?
A 10 kg object is hanging at rest from a rope. What is the tension in the rope?
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Practice Questions
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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
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The tension in the rope must balance the weight of the object. T = mg = 10 kg * 10 m/s² = 100 N.
Questions & Step-by-step Solutions
1 item
Q
Q: A 10 kg object is hanging at rest from a rope. What is the tension in the rope?
Solution:
The tension in the rope must balance the weight of the object. T = mg = 10 kg * 10 m/s² = 100 N.
Steps: 7
Show Steps
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.
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