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Standard XII

Physics

Examples

An object of ...

Question

An object of $m k g$ with a speed of $v m / s$ strikes a wall at an angle $θ$ and rebounds at the same speed and same angle. The magnitude of the change in momentum of the object will be

2 m v cos θ

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2 m v sin θ

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2 m v

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Solution

The correct option is A $2 m v cos θ$

Initial momentum $_{1} = m v sin θ^i - m v cos θ^j$
and final momentum $_{2} = m v sin θ^i + m v cos θ^j$
So change in momentum
$- - \to Δ P =_{2} -_{1} = 2 m v cos θ^j$
$| - - \to Δ P | = 2 m v cos θ$

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An object of m kg with a speed of v m/s strikes a wall at an angle θ and rebounds at the same speed and same angle. The magnitude of the change in momentum of the object will be

The correct option is A 2mvcosθ Initial momentum −→P1=mvsinθ^i−mvcosθ^j and final momentum −→P2=mvsinθ^i+mvcosθ^j So change in momentum −−→ΔP=−→P2−−→P1=2mvcosθ^j |−−→ΔP|=2mvcosθ

An object of $m k g$ with a speed of $v m / s$ strikes a wall at an angle $θ$ and rebounds at the same speed and same angle. The magnitude of the change in momentum of the object will be

The correct option is A $2 m v cos θ$

Initial momentum $_{1} = m v sin θ^i - m v cos θ^j$
and final momentum $_{2} = m v sin θ^i + m v cos θ^j$
So change in momentum
$- - \to Δ P =_{2} -_{1} = 2 m v cos θ^j$
$| - - \to Δ P | = 2 m v cos θ$