Question

A $0.45$-kilogram football traveling at a speed of 22 meters per second is caught by an 84 -kilogram stationary receiver. If the football comes to rest in the receiver's arms, the magnitude of the impulse imparted to the receiver by the ball is (A) $1800 \mathrm{~N} \cdot \mathrm{S}$ (B) $9.9 \mathrm{~N} \cdot \mathrm{S}$ (C) $4.4 \mathrm{~N} \cdot \mathrm{S}$ (D) $3.8 \mathrm{~N} \cdot \mathrm{S}$

Name: Problem 48, Chapter 6: Let's Review Regents: Physics—Physical Setting
Uploaded: 2022-01-22T00:14:09-08:00
Duration: 2 min 3 s
Channel: Mkhitar Hobosyan
Description: A 0.45-kilogram football traveling at a speed of 22 meters per second is caught by an 84 -kilogram stationary receiver. If the football comes to rest in the receiver's arms, the magnitude of the impulse imparted to the receiver by the ball is (A) 1800 N ·S (B) 9.9 N ·S (C) 4.4 N ·S (D) 3.8 N ·S

   A $0.45$-kilogram football traveling at a speed of 22 meters per second is caught by an 84 -kilogram stationary receiver. If the football comes to rest in the receiver's arms, the magnitude of the impulse imparted to the receiver by the ball is
(A) $1800 \mathrm{~N} \cdot \mathrm{S}$
(B) $9.9 \mathrm{~N} \cdot \mathrm{S}$
(C) $4.4 \mathrm{~N} \cdot \mathrm{S}$
(D) $3.8 \mathrm{~N} \cdot \mathrm{S}$

Let's Review Regents: Physics—Physical Setting

Miriam A. Lazar 1st Edition

Chapter 6, Problem 48

Instant Answer

Solved by Expert Mkhitar Hobosyan

01/22/2022

Step 1

In this case, the final momentum is zero because the ball comes to rest. The initial momentum is the mass of the ball times its velocity. Show more…

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A $0.45$-kilogram football traveling at a speed of 22 meters per second is caught by an 84 -kilogram stationary receiver. If the football comes to rest in the receiver's arms, the magnitude of the impulse imparted to the receiver by the ball is (A) $1800 \mathrm{~N} \cdot \mathrm{S}$ (B) $9.9 \mathrm{~N} \cdot \mathrm{S}$ (C) $4.4 \mathrm{~N} \cdot \mathrm{S}$ (D) $3.8 \mathrm{~N} \cdot \mathrm{S}$

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Key Concepts

Impulse-Momentum Theorem

The impulse-momentum theorem states that the impulse on an object is equal to the change in its momentum. This theorem connects the force applied over a time interval to the resultant change in the object's motion, making it essential for understanding collisions or sudden stops.

Impulse

Impulse is a physical quantity defined as the change in momentum of an object. It is quantitatively expressed as the product of the force acting on the object and the duration of time that force is applied, and it has both magnitude and direction.

Momentum

Momentum is the measure of an object's motion, calculated as the product of its mass and velocity. It is a vector quantity, meaning it has both magnitude and direction, and is a central concept in analyzing motion in physics.

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