1. Which mathematical representation correctly identifies impulse?
A. implulse= force/time
B. impulse= force * time
C. impulse= acceleration * time
D. impulse= velocity/time
2. In a closed system, a ball with a mass of 3 kg and a momentum of 24 kg·m/s collides into a ball with a mass of 1 kg that is originally at rest. Which statement describes the momentum of the balls and the total momentum?
A. The momentum of each ball changes, and the total momentum stays the same.
B. The momentum of each ball changes, and the total momentum changes.
C. The momentum of each ball stays the same, and the total momentum stays the same.
D. The momentum of each ball stays the same, and the total momentum changes.
3. In a closed system, three objects have the following momentums: 110 kg⋅m/s, −65 kg⋅m/s, and −100 kg⋅m/s. The objects collide and move together. What is the total momentum after the collision?
A. -55 kg*m/s
B. -275 kg*m/s
C. 275 kg*m/s
D. 55 kg*m/s
4. In a closed system, an object with a mass of 1.5 kg collides with a second object. The two objects then move together at a velocity of 50 m/s. The total momentum of the system is 250 kg⋅m/s. What is the mass of the second object?
A. 3.0 kg
B. 3.5 kg
C. 5.0 kg
D. 1.5 kg
5. A cue stick has a mass of 0.5 kg. The cue stick hits a ball with a mass of 0.2 kg at a velocity of 2.5 m/s. What is the velocity of the ball after it is hit?
A. 2.5 m/s
B. 8.3 m/s
C. 6.3 m/s
D. 3.6 m/s
1. B. Impulse = Force × Time
2. A. The momentum of each ball changes, and the total momentum stays the same
3. -55 kg·m/s
4. B. 3.5 kg
5. C. 6.3 m/s
It is right
just got 100%
The Moment of Impact Quick Check
1. B. Impulse = Force × Time
2. A. The momentum of each ball changes, and the total momentum stays the same
3. D. -55 kg·m/s
4. B. 3.5 kg
5. C. 6.3 m/s
I got a 100. You're Welcome. 💙
1. The mathematical representation that correctly identifies impulse is B. impulse = force * time. To get this answer, you can recall the definition of impulse, which is the change in momentum of an object. The formula for impulse is given by the product of force and time.
2. The statement that describes the momentum of the balls and the total momentum is A. The momentum of each ball changes, and the total momentum stays the same. To determine this, you can use the principle of conservation of momentum, which states that the total momentum of a closed system remains constant before and after a collision. Since the second ball is initially at rest, it will gain momentum, while the first ball will lose momentum. However, the total momentum of the system will stay the same.
3. The total momentum after the collision is C. 275 kg⋅m/s. To calculate the total momentum, you need to add up the momentums of all the objects involved. Since momentum is a vector quantity, you will need to take into account the directions of the momentums. In this case, two objects have negative momentums, which means they are moving in the opposite direction. Therefore, you subtract their values, and then add the remaining positive momentum to get the total momentum.
4. The mass of the second object is C. 5.0 kg. To find the mass of the second object, you can use the formula for momentum, which is given by the product of mass and velocity. Since the two objects move together after the collision, their final momentum is equal to the total momentum of the system. By rearranging the formula and substituting the given values, you can solve for the mass of the second object.
5. The velocity of the ball after it is hit is B. 8.3 m/s. To find the velocity of the ball after being hit, you can use the principle of conservation of momentum. The initial momentum of the cue stick is equal to the final momentum of the cue stick and the ball combined. By rearranging the formula and substituting the given values, you can solve for the final velocity of the ball.