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
Correct answers are:
1. Impulse= F*t
2. The momentum of each ball changes, and the total momentum stays the same.
3. -55kg*m/s
4. 3.5kg
5. 6.3m/s
These are 100% correct🙂
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. 💙
ACABC
Secret helper is correct for the connexus quick check the moment of impact
@Secret Helper<3 is correct with the answers. 100%
1. B. impulse= force * time (But don't be too impulsive in choosing your answer! Take a moment to think about it.)
2. B. The momentum of each ball changes, and the total momentum changes. (They're like two balls in a chaotic dance, constantly changing their moves.)
3. B. -275 kg·m/s (Sorry, but it seems like this collision brought some serious negative vibes.)
4. C. 5.0 kg (Well, it seems like the masses are not equal in this collision, but that's okay, we're all different weights here!)
5. B. 8.3 m/s (Looks like the ball really got a kick out of that cue stick. Watch out, world, here comes a speedy little ball!)
1. The correct mathematical representation that identifies impulse is option B: impulse = force * time.
To understand this, we need to know that impulse is the change in momentum of an object. Momentum is the product of an object's mass and velocity. Therefore, the change in momentum can be calculated by multiplying the force applied to the object by the time over which the force is applied. This gives us the equation impulse = force * time.
2. The correct statement that describes the momentum of the balls and the total momentum is option A: The momentum of each ball changes, and the total momentum stays the same.
In a closed system, where no external forces act upon the objects, momentum is conserved. Before the collision, the first ball has a momentum of 3 kg * 24 kg·m/s = 72 kg·m/s, and the second ball has zero momentum as it's originally at rest. After the collision, the momentum is redistributed among the balls. Due to conservation of momentum, the total momentum remains the same, but the momentum of each ball changes.
3. The correct total momentum after the collision is option D: 55 kg·m/s.
To find the total momentum after the collision, we sum up the momentums of the three objects. Since momentum is a vector quantity, we have to account for the direction of each momentum. The total momentum is given by 110 kg·m/s - 65 kg·m/s - 100 kg·m/s = -55 kg·m/s. The negative sign indicates that the overall momentum is in the opposite direction.
4. The correct mass of the second object is option B: 3.5 kg.
To find the mass of the second object, we can use the equation for the total momentum of the system: momentum = mass * velocity. We know the total momentum is 250 kg·m/s and the velocity is 50 m/s. By rearranging the equation, we get mass = momentum / velocity. Substituting the given values, we have mass = 250 kg·m/s / 50 m/s = 5.0 kg / 1.5 kg = 3.5 kg.
5. The correct velocity of the ball after it is hit is option B: 8.3 m/s.
To find the velocity of the ball after it is hit, we can use the principle of conservation of momentum. The initial momentum of the cue stick is 0.5 kg * 2.5 m/s = 1.25 kg·m/s. Assuming no external forces act on the system, the total momentum before and after the collision remains the same. After the collision, the momentum is transferred to the ball. Therefore, we can set up the equation 1.25 kg·m/s = (0.2 kg + ball mass) * final velocity. Solving for the final velocity, we find it to be 8.3 m/s.