A 0.15 kg baseball is thrown towards a batter with a velocity of 40 m/s. The batter hits the ball and returns it directly back with a velocity of 60 m/s.
What is the change in momentum of the ball?
mass times change in velocity
.15 kg * 100 m/s
positive in direction of pitcher from batter
The speed of a basketball as it is dribbled is the same when the ball os goping toward tthe floor as it is when the ball rises from the floor. A. Is the basketball's change in momentum equal to zero when it hits the floor? B. If not, in which direction is the change in momentum. Draw its momentum vectors before and after it hits the floor.
To find the change in momentum of the ball, we first need to calculate the initial momentum and the final momentum.
The initial momentum of an object is given by the equation:
initial momentum = mass × initial velocity
The final momentum of an object is given by the equation:
final momentum = mass × final velocity
Given the mass of the baseball (0.15 kg), the initial velocity (40 m/s), and the final velocity (60 m/s), we can now calculate the initial momentum and the final momentum.
Initial momentum = 0.15 kg × 40 m/s = 6 kg·m/s
Final momentum = 0.15 kg × 60 m/s = 9 kg·m/s
To find the change in momentum, we subtract the initial momentum from the final momentum:
Change in momentum = final momentum - initial momentum
Change in momentum = 9 kg·m/s - 6 kg·m/s
Change in momentum = 3 kg·m/s
Therefore, the change in momentum of the ball is 3 kg·m/s.
To calculate the change in momentum of the ball, we need to find the final momentum and subtract the initial momentum.
The momentum of an object is given by the equation:
Momentum = Mass x Velocity
Given:
Initial mass of the ball (m1) = 0.15 kg
Initial velocity of the ball (v1) = 40 m/s
Final velocity of the ball (v2) = -60 m/s (negative because the ball is returning in the opposite direction)
Step 1: Calculate initial momentum (p1):
p1 = m1 * v1
Substituting the given values:
p1 = 0.15 kg * 40 m/s
Step 2: Calculate final momentum (p2):
p2 = m1 * v2
Substituting the given values:
p2 = 0.15 kg * (-60 m/s)
Step 3: Calculate the change in momentum (Δp):
Δp = p2 - p1
Substituting the calculated values:
Δp = (0.15 kg * (-60 m/s)) - (0.15 kg * 40 m/s)
Simplifying the expression:
Δp = -9 kg·m/s - 6 kg·m/s
Δp = -15 kg·m/s
The change in momentum of the ball is -15 kg·m/s (negative indicating a change in direction).