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The velocity-time graph of a ball moving on the surface of a floor is shown in the figure. Find the force acting on the ball if the mass of the ball is \(50\ g\)
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The velocity-time graph of a ball moving on the surface of a floor is shown in the figure. Find the force acting on the ball if the mass of the ball is \(50\ g\)
Question: The velocity-time graph of a ball moving on the surface of a floor is shown in the figure. Find the force acting on the ball if the mass of the ball is 50 g

Answer

Given that,
Weight \(m=50\ g=\frac{50}{1000}=\frac{1}{20}\ kg\)
We know that slope of given \(v-t\) graph will be acceleration.
Acceleration of the ball \(a=\frac{0-30}{6}=-5\ m\ s^{-2}\)
here \(-ve\) sign represent that body is retarded.
\(a=5\ m\ s^{-2}\)
Force acting on the ball \(F=ma=\frac{1}{20}\times (-5)=-0.25\ N\)
Here \(-ve\) sign indicates that the force is retarding or stopping force.
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