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 to their acceleration and why.
(1 point)
A. The first ball has a smaller mass, so it will have less acceleration than the second ball.
B. The balls have equal acceleration because they are being thrown in the same direction.
C. The balls will have equal acceleration because they are being thrown with the same force.
D. The first ball has a smaller mass, so it will have greater acceleration than the second ball.
D. The first ball has a smaller mass, so it will have greater acceleration than the second ball.
Ben and Peter are playing horseshoes. Ben takes the first turn, and his horseshoe lands three-fourths of the way to the target. Peter takes the next turn, and his horseshoe lands past the target. Which statement best explains the results? (1 point)
Peter used a horseshoe with more mass and threw with the same force as Ben.
The horseshoes have the same mass, but Peter threw with more force than Peter.
Peter used a horseshoe with more mass and threw with less force than Ben.
The horseshoes have the same mass, but Peter threw with less force than Ben.
What change would increase the acceleration of the dogs sled?
A. add more mass to the sled
B. remove a dog from the sled
C. run the sled up a hill
D. add another dog to the sled
D. add another dog to the sled
The horseshoes have the same mass, but Peter threw with more force than Ben.
A. The first ball has a smaller mass, so it will have less acceleration than the second ball.
The correct answer is A. According to Newton's second law of motion, the equation for acceleration is given by:
acceleration = force / mass
Since the force applied is the same for both balls, the one with the smaller mass will have a greater acceleration. This is because a smaller mass will result in a smaller denominator in the equation, leading to a larger overall value of acceleration. Hence, the first ball, which has a smaller mass of 0.25 kg, will have less acceleration compared to the second ball with a mass of 0.5 kg.
To determine the acceleration of the two balls, we need to apply Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
According to the question, both balls are thrown with the same amount of force in the same direction. Therefore, the net force acting on both balls is the same, as the force applied is equal.
To compare the accelerations of the two balls, we need to understand that acceleration is inversely proportional to mass. This means that if the mass of an object is smaller, it will have a greater acceleration for the same applied force.
Let's calculate the accelerations of the two balls using Newton's second law of motion:
Acceleration = Net force / Mass
For the first ball with a mass of 0.25 kg:
Acceleration1 = Net force / 0.25 kg
For the second ball with a mass of 0.5 kg:
Acceleration2 = Net force / 0.5 kg
Since the force applied is the same for both balls, the net force in each case is the same. Therefore, we can rewrite the equations as:
Acceleration1 = Constant / 0.25 kg
Acceleration2 = Constant / 0.5 kg
From these equations, we can see that the acceleration of the first ball will be larger than the acceleration of the second ball because its mass is smaller. Hence, the correct answer is:
D. The first ball has a smaller mass, so it will have greater acceleration than the second ball.