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Physics

A canon ball of mass 500g is fired with a speed of 15m/s-1.

Find:

(i) its kinetic energy and

(ii) its momentum.

Work, Energy & Power

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Answer

Given,

mass = 500 g = 0.5 kg

Speed = v = 15 m / s

(a) We know,

Kinetic energy = 1 / 2 × mass × (velocity)2

Substituting the values in the equation we get,

KE=12×0.5×152KE=12×0.5×225⇒KE=56.25JKE = \dfrac{1}{2} \times 0.5 \times 15^2 \\[0.5em] KE = \dfrac{1}{2} \times 0.5 \times 225 \\[0.5em] \Rightarrow KE = 56.25J \\[0.5em]

(b) We know,

Momentum = mass × velocity

Substituting the values in the equation we get,

Momentum = 0.5 x 15
= 7.5 kgm/s

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