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 0.25kg and the second ball has a mass of 0.5kg. explain what will
happen to their acceleration and why.
A. the balls have equal acceleration because they are being throwing in the same direction.
B. the balls 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 that the second ball.
D. the first ball has a smaller mass, so it will have less acceleration that the second ball.
D. the first ball has a smaller mass, so it will have less acceleration than the second ball.
This is because acceleration is inversely proportional to mass. According to Newton's second law of motion, the force applied is equal to the mass of an object multiplied by its acceleration (F = ma). Since the force applied is the same for both balls, the ball with a smaller mass will experience a greater acceleration.
D. the first ball has a smaller mass, so it will have less acceleration than the second ball.
According to Newton's second law of motion, the acceleration of an object is directly proportional to the force applied on it and inversely proportional to its mass. So, when the same force is applied to both balls, the ball with the smaller mass (0.25kg) will experience a greater acceleration compared to the ball with the larger mass (0.5kg). This is because the smaller mass requires less force to accelerate, while the larger mass requires more force to achieve the same acceleration. Therefore, the first ball will have less acceleration than the second ball.
The correct answer is D. The first ball with a smaller mass will have less acceleration than the second ball with a larger mass.
To understand why, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. The formula for this relationship is F = ma, where F represents the force, m represents the mass, and a represents the acceleration.
In this scenario, both balls are being thrown with the same amount of force and in the same direction. Since the force is the same, we can simplify the equation to F/m = a, meaning that the acceleration is determined by dividing the force by the mass.
Comparing the mass of the two balls, the first ball has a smaller mass (0.25kg) while the second ball has a larger mass (0.5kg). When we divide the force by the mass, we can see that the first ball will have a larger value for acceleration compared to the second ball with a larger mass.
To summarize, due to the inverse relationship between mass and acceleration, when the force is the same, a smaller mass will result in a greater acceleration, as stated in option C. Therefore, the correct answer is D.