The force required wto produce acceleration in a body of constant mass is directly proportional to the acceleration produced in the body. Express the above statement as a linear equation in two variables and draw the graph of the same by taking the constant mass equal to 3 kg . Read from the graph , the force required when the acceleration is produced is
(i) 2m/sec2 (ii) 3m/sec2

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Solution

F = ma
This equation can be written in the form of y = mx, where m is the slope
In this case m = m = 3 kg
The graph will be a straight line passing through the origin.
When a = 2, F = 6 N
When a = 3, F = 9 N

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The force exerted to pull a cart is directly proportional to the acceleration produced in the body. Express the statement as a linear equation of two variables and draw the graph of the same by taking the constant mass equal to 6 kg. Read from the graph, the force required when the acceleration produced is:
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