Askiitians Tutor Team
Last Activity: 13 Days ago
To determine the normal force exerted by the 5 kg box on the 3 kg box, we need to analyze the forces acting on the boxes. The normal force is the force exerted by a surface to support the weight of an object resting on it. In this scenario, we have three boxes stacked on top of each other, with the 5 kg box at the bottom resting on a table. Let's break this down step by step.
Understanding the Forces Involved
The total weight of the boxes above the 5 kg box contributes to the normal force that the 5 kg box exerts on the 3 kg box. First, we need to calculate the weight of the boxes above the 5 kg box.
Calculating the Weight of Each Box
- The weight of the 2 kg box is calculated as: Weight = mass × gravity
- The weight of the 3 kg box is also calculated similarly.
Using the acceleration due to gravity (approximately 9.8 m/s²), we find:
- Weight of the 2 kg box: 2 kg × 9.8 m/s² = 19.6 N
- Weight of the 3 kg box: 3 kg × 9.8 m/s² = 29.4 N
Finding the Total Weight on the 5 kg Box
Now, we need to add the weights of the 2 kg and 3 kg boxes to find the total force acting downwards on the 5 kg box:
- Total weight on the 5 kg box = Weight of 2 kg box + Weight of 3 kg box
- Total weight = 19.6 N + 29.4 N = 49 N
Determining the Normal Force
The normal force exerted by the 5 kg box on the 3 kg box must equal the total weight of the boxes above it to maintain equilibrium. Therefore, the normal force (N) is:
- N = Total weight on the 5 kg box = 49 N
Conclusion
Thus, the normal force exerted by the 5 kg box on the 3 kg box is 49 N. The correct option is (3) 49 N.