A 0.36 kg soccer ball approaches a player

horizontally with a velocity of 18 m/s to the
north. The player strikes the ball and causes
it to move in the opposite direction with a
velocity of 21 m/s.
What impulse was delivered to the ball by
the player?
Answer in units of kg · m/s

The impulse equals the momentum change. Note that the final momentum is opposite to the initial momentum.

0.36*[21 -(-18)] = _____ kg m/s

The angular velocity of a body Rotating with an acceleration of 2rev/s² as it completes the 5th revolution

To find the impulse delivered to the ball by the player, we can use the impulse-momentum principle, which states that the impulse experienced by an object is equal to the change in its momentum.

The momentum of an object is defined as the product of its mass and velocity. Therefore, the initial momentum of the soccer ball is given by:
Initial momentum = mass × initial velocity = 0.36 kg × 18 m/s

Similarly, the final momentum of the soccer ball is given by:
Final momentum = mass × final velocity = 0.36 kg × (-21 m/s) [since it is moving in the opposite direction]

The change in momentum is then given by:
Change in momentum = Final momentum - Initial momentum = 0.36 kg × (-21 m/s) - 0.36 kg × 18 m/s

Evaluating this expression gives:
Change in momentum = -7.56 kg·m/s - 6.48 kg·m/s

So, the impulse delivered to the ball by the player is -14.04 kg·m/s. (Note: The negative sign indicates that the direction of the impulse is opposite to that of the initial momentum)

To calculate the impulse delivered to the ball, we can use the formula:

Impulse = change in momentum

The momentum of an object is calculated by multiplying its mass by its velocity:

Momentum = mass x velocity

Given:
Mass of the ball (m) = 0.36 kg
Initial velocity of the ball (u) = 18 m/s (north)
Final velocity of the ball (v) = -21 m/s (opposite direction or south)

To find the impulse, we first need to calculate the initial momentum (p1) and final momentum (p2). Then we can subtract the initial momentum from the final momentum.

Initial momentum (p1) = mass x initial velocity
p1 = m x u

Final momentum (p2) = mass x final velocity
p2 = m x v

Now, let's plug in the given values:

p1 = 0.36 kg x 18 m/s
p1 = 6.48 kg·m/s (north)

p2 = 0.36 kg x (-21 m/s)
p2 = -7.56 kg·m/s (south) or (opposite direction)

To find the impulse, we subtract p1 from p2:

Impulse = p2 - p1
Impulse = (-7.56 kg·m/s) - (6.48 kg·m/s)
Impulse = -14.04 kg·m/s

Therefore, the impulse delivered to the ball by the player is -14.04 kg·m/s.