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A ball of mass m strikes a rigid wall with speed u and rebounds with the same speed. The impulse imparted to the ball by the wall is
- a)2mu
- b)mu
- c)zero
- d)-2mu
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A ball of mass m strikes a rigid wall with speed u and rebounds with t...
The situation is as shown in the figure.
pinitial = mu,pfinal = −mu
Impulse imparted to the ball = change in momentum = pinitial = mu,pfinal
= −mu − mu = −2mu
pinitial = mu,pfinal = −mu
Impulse imparted to the ball = change in momentum = pinitial = mu,pfinal
= −mu − mu = −2mu
Most Upvoted Answer
A ball of mass m strikes a rigid wall with speed u and rebounds with t...
Impulse is the change in momentum of an object. It is given by the equation:
Impulse = change in momentum = m * (final velocity - initial velocity)
In this case, the ball is initially moving towards the wall with a speed u. After striking the wall, it rebounds with the same speed u but in the opposite direction.
So, the change in velocity is:
final velocity - initial velocity = -u - u = -2u
Substituting this into the equation for impulse, we have:
Impulse = m * (-2u) = -2mu
Therefore, the impulse imparted to the ball by the wall is -2mu.
Explanation:
When the ball collides with the wall, it experiences a force from the wall that causes a change in momentum. The force from the wall acts on the ball for a very short period of time, resulting in a large change in momentum in a short time interval.
Since the ball rebounds with the same speed, the change in velocity is equal to the initial velocity multiplied by -2. This means that the impulse imparted to the ball is in the opposite direction of the initial velocity and has a magnitude of 2mu.
The negative sign indicates that the impulse is in the opposite direction of the initial velocity. In other words, the wall exerts a force on the ball that causes it to rebound in the opposite direction.
Therefore, the correct answer is option D: -2mu, which indicates that the impulse imparted to the ball by the wall is in the opposite direction of the initial velocity and has a magnitude of 2mu.
Impulse = change in momentum = m * (final velocity - initial velocity)
In this case, the ball is initially moving towards the wall with a speed u. After striking the wall, it rebounds with the same speed u but in the opposite direction.
So, the change in velocity is:
final velocity - initial velocity = -u - u = -2u
Substituting this into the equation for impulse, we have:
Impulse = m * (-2u) = -2mu
Therefore, the impulse imparted to the ball by the wall is -2mu.
Explanation:
When the ball collides with the wall, it experiences a force from the wall that causes a change in momentum. The force from the wall acts on the ball for a very short period of time, resulting in a large change in momentum in a short time interval.
Since the ball rebounds with the same speed, the change in velocity is equal to the initial velocity multiplied by -2. This means that the impulse imparted to the ball is in the opposite direction of the initial velocity and has a magnitude of 2mu.
The negative sign indicates that the impulse is in the opposite direction of the initial velocity. In other words, the wall exerts a force on the ball that causes it to rebound in the opposite direction.
Therefore, the correct answer is option D: -2mu, which indicates that the impulse imparted to the ball by the wall is in the opposite direction of the initial velocity and has a magnitude of 2mu.
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Community Answer
A ball of mass m strikes a rigid wall with speed u and rebounds with t...
The situation is as shown in the figure.
pinitial = mu,pfinal = −mu
Impulse imparted to the ball = change in momentum = pinitial = mu,pfinal
= −mu − mu = −2mu
pinitial = mu,pfinal = −mu
Impulse imparted to the ball = change in momentum = pinitial = mu,pfinal
= −mu − mu = −2mu
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A ball of mass m strikes a rigid wall with speed u and rebounds with the same speed. The impulse imparted to the ball by the wall isa)2mub)muc)zerod)-2muCorrect answer is option 'D'. Can you explain this answer?
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