A 4 kg object is hanging from a rope. What is the tension in the rope if the obj
Practice Questions
Q1
A 4 kg object is hanging from a rope. What is the tension in the rope if the object is at rest?
0 N
4 N
40 N
10 N
Questions & Step-by-Step Solutions
A 4 kg object is hanging from a rope. What is the tension in the rope if the object is at rest?
Step 1: Identify the mass of the object. In this case, the mass is 4 kg.
Step 2: Understand that the object is hanging at rest, which means the forces acting on it are balanced.
Step 3: Recall that the weight of the object can be calculated using the formula: weight = mass * gravity.
Step 4: Use the value of gravity, which is approximately 10 m/s².
Step 5: Calculate the weight of the object: weight = 4 kg * 10 m/s² = 40 N.
Step 6: Since the object is at rest, the tension in the rope (T) must equal the weight of the object.
Step 7: Therefore, the tension in the rope is T = 40 N.
Newton's First Law of Motion – An object at rest will remain at rest unless acted upon by a net external force. In this case, the tension in the rope balances the weight of the object.
Weight Calculation – Weight is calculated using the formula W = mg, where m is mass and g is the acceleration due to gravity.
Equilibrium – When an object is at rest, the forces acting on it are balanced, meaning the tension in the rope equals the weight of the object.
