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a 2kg box is placed on a 3kg box which is placed on a 5 kg box.the 5kg box rests on a table top.what is the normal force exerted by the 5kg box on the 3kg box?
(1)19.6N (2) 29.4N (3)49N
(4)98N
what is correct option

abhinedra pratap singh , 7 Years ago
Grade 11
anser 1 Answers
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.

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