A cricket ball of mass 150 g has an initially velocity u=(3 𝐢̂+4 ĵ) ms^-1 and a final velocity

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A cricket ball of mass 150 g has an initially velocity u=(3...

A cricket ball of mass $150 \mathrm{~g}$ has an initially velocity $u=(3 \hat{\mathbf{i}}+4 \hat{j}) \mathrm{ms}^{-1}$ and a final velocity $v=(-3 \hat{i}+4 \hat{j}) \mathrm{ms}^{-1}$. After behind hit. The change in momentum (final momentum-initial momentum) is (in $\mathrm{kg} \mathrm{ms}^{-1}$ ) [NCERT| (a) zero (b) $-(0.45 \hat{i}+0.6 \hat{j})$ (c) $-(0.9 \hat{i}+1.2 j)$ (d) $-5(\hat{i}+i)$

A cricket ball of mass $150 \mathrm{~g}$ has an initially velocity $u=(3 \hat{\mathbf{i}}+4 \hat{j}) \mathrm{ms}^{-1}$ and a final velocity $v=(-3 \hat{i}+4 \hat{j}) \mathrm{ms}^{-1}$. After behind hit. The change in momentum (final momentum-initial momentum) is (in $\mathrm{kg} \mathrm{ms}^{-1}$ )
[NCERT|
(a) zero
(b) $-(0.45 \hat{i}+0.6 \hat{j})$
(c) $-(0.9 \hat{i}+1.2 j)$
(d) $-5(\hat{i}+i)$

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Key Concepts

Momentum

Momentum is a fundamental physical quantity defined as the product of an object's mass and its velocity. Since it is a vector, it has both magnitude and direction, and is essential for describing the motion of objects in mechanics.

Change in Momentum

The change in momentum is calculated as the difference between the final momentum and the initial momentum of an object. This concept is crucial in understanding how forces affect motion, particularly in collision scenarios, where it is directly related to the impulse imparted to the object.

Vector Subtraction

Vector subtraction involves subtracting corresponding components of two vectors to obtain a new vector. In physics, this method is used to find differences in quantities like momentum, where both magnitude and direction are important.

Impulse

Impulse is a concept closely related to the change in momentum, defined as the product of the applied force and the time duration over which the force acts. It quantifies the effect of a force applied for a given period and is central to understanding collision dynamics and momentum changes.

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