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The acceleration-mass graph for the acceleration produced by a force on objects of different masses is plotted in the Fig. Plot the force-mass graph for this case.

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Question

The acceleration-mass graph for the acceleration produced by a force on objects of different masses is plotted in the Fig. Plot the force-mass graph for this case.

Graph
Numerical
Very Long Answer
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Solution

Reading the results from the acceleration-mass graph (Fig.):

Mass (kg) Acceleration (m s–2) Force (F = ma) in N
1 10.0 1 × 10.0 = 10
2 5.0 2 × 5.0 = 10
3 2.5 4 × 2.5 = 10
4 2.0 5 × 2.0 = 10

We know that Force = mass × acceleration (F = ma).

When the force is calculated for different masses, it is found to be the same value, 10 N, in each case. This is because the same force has been applied to objects with different masses.

Therefore, the force–mass graph is a straight line parallel to the mass axis at F = 10 N, as shown below.

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Chapter 6: How Forces Affect Motion - Revise, Reflect, Refine [Page 114]

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NCERT Science Exploration [English] Class 9
Chapter 6 How Forces Affect Motion
Revise, Reflect, Refine | Q 10. | Page 114
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