A mass of 100 g strikes the wall speed 5 m / s at an angle as shown in figure and is rebounds

step 1 In this problem, we have given a mass of 100 grams strikes to the wall with a speed of 5 meter p

A mass of 100 g strikes the wall speed 5 m / s at an angle...

A mass of $100 \mathrm{~g}$ strikes the wall speed $5 \mathrm{~m} / \mathrm{s}$ at an angle as shown in figure and is rebounds with the same speed. If the contact time is $5 \times 10^{-3} \mathrm{sec}$, what is the force applied on the mass by the wall (A) $100 \sqrt{3} \mathrm{~N}$ to right (B) $100 \mathrm{~N}$ to right (C) $100 \sqrt{3} \mathrm{~N}$ to left (D) $100 \mathrm{~N}$ to left

A mass of $100 \mathrm{~g}$ strikes the wall speed $5 \mathrm{~m} / \mathrm{s}$ at an angle as shown in figure and is rebounds with the same speed. If the contact time is $5 \times 10^{-3} \mathrm{sec}$, what is the force applied on the mass by the wall
(A) $100 \sqrt{3} \mathrm{~N}$ to right
(B) $100 \mathrm{~N}$ to right
(C) $100 \sqrt{3} \mathrm{~N}$ to left
(D) $100 \mathrm{~N}$ to left

Key Concepts

Average Force Calculation

The average force during a collision is obtained by dividing the change in momentum (impulse) by the contact time. This provides a useful measure of the force exerted over the duration of an impact, even when the actual force may vary continuously during the collision.

Vector Decomposition

Vector decomposition involves breaking a vector into its component parts along mutually perpendicular axes, typically to simplify the analysis of motion or forces in different directions. In collision problems, decomposing the momentum into components normal and parallel to the surface can be essential, as the collision may affect each component differently.

Impulse-Momentum Theorem

The impulse-momentum theorem states that the change in momentum of an object is equal to the impulse applied to it. Impulse is calculated as the product of the force and the time interval over which the force acts, which makes it useful for analyzing impacts and collisions where forces act over short durations.

Momentum

Momentum is a vector quantity defined as the product of a body's mass and velocity. It characterizes the quantity of motion an object possesses and is direction-dependent, making it critical to consider both magnitude and direction when analyzing collisions or interactions.

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