100 g of an iron ball having velocity 10 ms^-1 collides with wall at an angle 30^∘ and rebound

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100 g of an iron ball having velocity 10 ms^-1 collides...

$100 \mathrm{~g}$ of an iron ball having velocity $10 \mathrm{~ms}^{-1}$ collides with wall at an angle $30^{\circ}$ and rebounds with the same angle. If the period of contact between the ball and wall is $0.1 \mathrm{~s}$, then the average force experienced by the wall is (a) $10 \mathrm{~N}$ (b) $100 \mathrm{~N}$ (c) $1.0 \mathrm{~N}$ (d) $0.1 \mathrm{~N}$

$100 \mathrm{~g}$ of an iron ball having velocity $10 \mathrm{~ms}^{-1}$ collides with wall at an angle $30^{\circ}$ and rebounds with the same angle. If the period of contact between the ball and wall is $0.1 \mathrm{~s}$, then the average force experienced by the wall is
(a) $10 \mathrm{~N}$
(b) $100 \mathrm{~N}$
(c) $1.0 \mathrm{~N}$
(d) $0.1 \mathrm{~N}$

Key Concepts

Momentum

Momentum is the product of an object's mass and velocity. It quantifies the amount of motion an object has and is a fundamental concept in mechanics. In collisions, changes in momentum help us understand the effects of the impact and how forces are transferred between objects.

Impulse

Impulse is defined as the change in momentum produced by a force acting over a time interval. The impulse-momentum theorem states that the impulse on an object is equal to the change in its momentum, which is essential for analyzing collisions where forces act for very short durations.

Vector Decomposition

Vector decomposition involves breaking down a vector, such as velocity, into its components along chosen axes. In collision problems, especially when an object collides at an angle, this technique allows us to separate the motion into normal and tangential components, which helps in determining how the impact affects each part of the velocity.

Collision Mechanics

Collision mechanics deals with the study of interactions between bodies during impacts, including how momentum and energy are transferred or conserved. It involves analyzing factors such as the angle of impact, the properties of the colliding bodies, and whether the collision is elastic or inelastic.

Average Force Calculation

Average force is calculated by dividing the total impulse (change in momentum) by the time over which the collision occurs. This concept simplifies the analysis of collisions by treating variable forces as an equivalent constant force acting for a given duration.

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