a student is demonstrating acceleration by throwing two balls she throws both balls using the same amount of force in the same direction the first ball she throws has a mass of 0.25 kg and the second ball has a mass of 0.5 kg explain what will happen till they're acceleration and why
A. The first ball has a smaller mask so it will have less acceleration than the second ball
B. The balls will have equal acceleration because they are being thrown with the same Force
C.The first ball has a smaller Mass so it will have greater acceleration than the second ball
D. The balls have equal acceleration because they are being thrown in the same direction
C. The first ball has a smaller mass, so it will have greater acceleration than the second ball.
Acceleration is directly proportional to force and inversely proportional to mass, according to Newton's second law of motion (F = ma). Since the force applied is the same for both balls, the ball with smaller mass (0.25 kg) will experience greater acceleration compared to the ball with larger mass (0.5 kg). This is because the lower mass allows the first ball to accelerate more easily. Thus, option C is correct.
C. The first ball has a smaller mass so it will have greater acceleration than the second ball.
Explanation:
According to Newton's second law of motion, the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. In this scenario, both balls are thrown using the same amount of force and in the same direction. However, since the first ball has a smaller mass (0.25 kg) compared to the second ball (0.5 kg), it will experience a greater acceleration. This is because the smaller mass allows the force to have a greater effect and cause a larger acceleration.
To determine the acceleration of the two balls, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.
The formula for Newton's second law is:
F = ma
Where F represents the net force, m represents the mass of the object, and a represents the acceleration.
In this scenario, let's assume that the net force applied to both balls is the same since the student is using the same amount of force to throw them.
Now let's analyze the given options:
A. The first ball has a smaller mass, so it will have less acceleration than the second ball.
This statement is correct. According to Newton's second law, if the force applied is the same, the acceleration is inversely proportional to mass. Since the mass of the first ball is smaller than the second ball, it will experience a greater acceleration.
B. The balls will have equal acceleration because they are being thrown with the same force.
This statement is not correct. The equal force applied does not guarantee equal acceleration because the mass of the two balls is different. Newton's second law indicates that the acceleration depends on both the force applied and the mass of the object.
C. The first ball has a smaller mass, so it will have greater acceleration than the second ball.
This statement is correct. As explained earlier, a smaller mass will result in a greater acceleration when the force applied is the same.
D. The balls have equal acceleration because they are being thrown in the same direction.
This statement is unrelated to the concept being described. The direction in which the balls are thrown does not affect their individual acceleration as long as no external forces (such as air resistance) are acting upon them.
Therefore, the correct answer is option C. The first ball has a smaller mass, so it will have greater acceleration than the second ball.