A ball weighing 1.78 N is shot through a launcher, achieving a speed ( from rest) of 41 m/s in 0.28 s.
A) What is the mass of the ball?
B) What is the acceleration of the ball as it moves through the launcher?
C) What average force acted on the ball to make it accelerate?
m=force/acceleration
acceleartion=finalspeed/time
Thanks you bob pursley. You got me in the right direction. I solved mass by w/g. I did not know force. I see now that the problems required an answer from the previous one to solve.
To find the answers to these questions, we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration.
A) To find the mass of the ball, we can rearrange the equation to solve for mass. The formula would be:
Force = mass * acceleration
Given:
Force = 1.78 N (weight of the ball)
Acceleration = (final velocity - initial velocity) / time
= (41 m/s - 0 m/s) / 0.28 s
= 146.43 m/s^2
Plugging in the given values:
1.78 N = mass * 146.43 m/s^2
Now, we can solve for the mass of the ball:
mass = 1.78 N / 146.43 m/s^2
≈ 0.012 kg
Therefore, the mass of the ball is approximately 0.012 kg.
B) The acceleration of the ball can be obtained by rearranging the equation:
acceleration = Force / mass
Given:
Force = 1.78 N
Mass = 0.012 kg
Plugging in the given values:
acceleration = 1.78 N / 0.012 kg
= 148.33 m/s^2
Therefore, the acceleration of the ball as it moves through the launcher is approximately 148.33 m/s^2.
C) The average force acted on the ball to make it accelerate can be calculated using the same equation:
Force = mass * acceleration
Given:
Mass = 0.012 kg
Acceleration = 148.33 m/s^2
Plugging in the given values:
Force = 0.012 kg * 148.33 m/s^2
≈ 1.78 N
Therefore, the average force that acted on the ball to make it accelerate is approximately 1.78 N.