As a baseball is being caught, its speed goes from 27.5 m/s to 0.0 m/s in about 0.0050 s. The mass of the baseball is 0.150 kg.
(a) What is the baseball's acceleration?
5500 m/s^2
(b) What are the magnitude and direction of the force acting on it?
and is it in
opposite in direction to velocity of the ball OR
same direction as velocity of the ball
(c) What are the magnitude and direction of the force acting on the player who caught it?
same direction as velocity of the ball
OR
opposite in direction to the velocity of the ball
wording..."about 0.0050 seconds" What exactly does that mean? What does the 0 following the .005 mean? If you instructor actually said that, I am amazed at his/her lack of understanding precision and significant digits.
a) wouldn't the acceleration be negative?
b)magnitude of force= a/m and in the direction opposite to initial motion (the negative direction).
The force on the catcher is just opposite to b.
Okay the answer I am getting for this is 36666.67 but it said this was wrong?
Maybe I am doing it wrong though
I did 5500/.150
and it did say that the acceleration was right as a positive number
To get the answer to these questions, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
(a) To find the acceleration of the baseball, we can use the formula:
acceleration = (final velocity - initial velocity) / time
Substituting the given values into the formula:
acceleration = (0.0 m/s - 27.5 m/s) / 0.0050 s
acceleration = -27.5 m/s / 0.0050 s
acceleration = -5500 m/s^2
Therefore, the baseball's acceleration is -5500 m/s^2 (note: the negative sign indicates that the acceleration is in the opposite direction to its initial velocity).
(b) The magnitude of the force acting on the baseball can be found using the formula:
force = mass * acceleration
Substituting the given values:
force = 0.150 kg * (-5500 m/s^2)
force = -825 N
The magnitude of the force acting on the baseball is 825 N. Since the acceleration is negative, the force is in the opposite direction to the velocity of the ball.
(c) According to Newton's third law of motion, for every action, there is an equal and opposite reaction. So, the force exerted on the player by the baseball will be equal in magnitude but opposite in direction to the force exerted on the ball.
Therefore, the magnitude of the force acting on the player who caught the ball is 825 N, and it is opposite in direction to the velocity of the ball.