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bcarri4073
26.07.2019 •
Physics
A700-kg car, driving at 29 m/s, hits a brick wall and rebounds with a speed of 4.5 m/s. what is the car's change in momentum due to this collision?
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Ответ:
The change in the momentum of the car due to collision between car and wall is
or
.
Further Explanation:
Let us consider the car is moving towards the right direction and it collides with the wall. After the collision, the car will bounce back or car will rebound opposite to the direction of its motion i.e., towards left. Therefore, the final velocity of the car is opposite to the direction of the initial velocity of the car.
Given:
The mass of the car is
.
The velocity of the car before collision is
.
The velocity of the car after collision is
.
Concept:
The momentum of an object is defined as the product of mass of object and the velocity with which the object is moving.
The initial momentum of the car is:
Here,
is the initial momentum of the car,
is the mass of the car and
is the initial velocity of the car.
Substitute
for
and
for
in equation (I).
The final momentum of the car is defined as the product of mass of car and the velocity of the car after collision or final velocity of the car.
The final momentum of the car is:
Here,
is the final momentum and
is the final velocity.
Substitute
for
and -
for
in equation (II).
The change in the momentum of the car after collision is the difference between the momentum of car before collision and the momentum of car after collision.
The change in momentum of the car is:
Here,
is the change in the momentum of the car.
Substitute
for
and
for
in equation (III).
Thus, the change in the momentum of the car due to collision between car and wall is
or
.
Learn more:
1. The motion of a body under friction
2. A ball falling under the acceleration due to gravity
3.Conservation of energy
Answer Details:
Grade: College
Subject: Physics
Chapter: Kinematics
Keywords:
Change in momentum, collision, initial velocity, final velocity, initial momentum, final momentum,-23450 kgm/s^2, -23450 kgm/s2, -2.3450*10^6 kgm/s^2, -2.3450*10^6 kgm/s2.
Ответ:
The correct answer is D,