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Figure shows the velocity-time graph of a particle of mass 100 g moving in a straight line. Calculate the force acting on the particle.

Figure shows the velocity-time graph of a particle of mass 100 g moving in a straight line. Calculate the force acting on the particle. Laws of Motion, Concise Physics Solutions ICSE Class 9.

(Hint — acceleration = slope of v-t graph)

Laws of Motion

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Answer

As we know,

Force (f) = mass (m) x acceleration (a)

Given,

m = 100 g

Converting g to kg,

1000 g = 1 kg

100 g = (11000\dfrac{1}{1000}) x 100 kg

100 g = 0.1 Kg

Hence, m = 0.1 Kg

As,

acceleration = slope of v-t graph = vt\dfrac{v}{t}

= 205\dfrac{20}{5}

Hence, a = 4 m s-2

Substituting the values in the formula above we get,

F=0.1×4F=0.4F = 0.1 \times 4 \\[0.5em] F = 0.4 \\[0.5em]

Hence, force acting on the particle = 0.4 N

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