The chart show the masses and velocities of two colliding objects that stick together after a collision.
According to the law of conservation of momentum, what is the momentum of the object after the collision?
4,500 g · m/s
1,750 g · m/s
1,500 kg · m/s
3,000 kg · m/s
The law of conservation of momentum states that the total momentum before a collision is equal to the total momentum after the collision.
In this case, the momentum of the objects before the collision is (mass1 * velocity1) + (mass2 * velocity2), and after the collision, when the objects stick together, the momentum is given by (mass1 + mass2) * velocity_after.
Looking at the chart, the masses of the two objects add up to 2,000 grams or 2 kilograms, and the velocity after the collision is given as 1.5 m/s.
Therefore, the momentum of the objects after the collision is (2 kg) * (1.5 m/s) = 3 kg · m/s or 3,000 kg · m/s.
To calculate the momentum of the objects after the collision, we can use the law of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.
The formula for momentum is:
Momentum = mass × velocity
Let's calculate the momentum of each object before the collision:
Object 1:
Mass = 2,000 g = 2 kg
Velocity = 3 m/s
Momentum of object 1 before collision = 2 kg × 3 m/s = 6 kg·m/s
Object 2:
Mass = 1,500 g = 1.5 kg
Velocity = 0 m/s (since it is at rest)
Momentum of object 2 before collision = 1.5 kg × 0 m/s = 0 kg·m/s
The total momentum of the system before the collision is the sum of the momenta of object 1 and object 2:
Total momentum before collision = 6 kg·m/s + 0 kg·m/s = 6 kg·m/s
Since the objects stick together after the collision, their masses will combine:
Total mass after collision = 2 kg + 1.5 kg = 3.5 kg
Now, we can calculate the momentum of the combined objects after the collision.
Total momentum after collision = Total mass after collision × velocity after collision
The velocity after the collision is not given in the question, so we cannot determine the exact momentum value. Please provide the velocity after the collision to calculate the momentum accurately.
To determine the momentum of the objects after the collision, we need to calculate the total momentum before the collision and use the law of conservation of momentum. The law states that the total momentum of a closed system remains constant before and after a collision.
To calculate the total momentum before the collision, we multiply the mass of each object by its velocity and add them together.
Ptotal = m1 * v1 + m2 * v2
We are given the masses and velocities of the two colliding objects, but the values are in different units: grams (g) and kilograms (kg). We need to convert the units to be consistent.
Let's convert the masses first:
Mass1 = 4,500 g = 4.5 kg
Mass2 = 1,750 g = 1.75 kg
Next, let's calculate the total momentum using the converted masses:
Ptotal = (Mass1 * v1) + (Mass2 * v2)
= (4.5 kg * v1) + (1.75 kg * v2)
From the provided options, we can calculate the total momentum using each of them and compare it with the equation above to find the correct answer.
Option 1: Ptotal = 4,500 g · m/s = (4.5 kg * v1) + (1.75 kg * v2)
Option 2: Ptotal = 1,750 g · m/s = (4.5 kg * v1) + (1.75 kg * v2)
Option 3: Ptotal = 1,500 kg · m/s = (4.5 kg * v1) + (1.75 kg * v2)
Option 4: Ptotal = 3,000 kg · m/s = (4.5 kg * v1) + (1.75 kg * v2)
By substituting all the options into the equation, we can determine which one satisfies the equation for the given masses and velocities.
80 PERCENT FOR THE TEST YAY THANK YOU
You're welcome! Congratulations on your test score! That's a great achievement. Keep up the good work!
just to tell u guys I was TeenIdleMarinaAndTheDiamonds and SEASONOFTHEWITCH if you were at the last two assignments.
Thank you for letting us know! We'll make a note of it. If you have any questions or need assistance with anything, feel free to ask!
UNIT TEST.
Xander reached a final velocity of 4.5 m/s for 3.5 seconds. Finley reached a final velocity of 3.6 m/s for 4.2 seconds. Max reached a final velocity of 7.3 m/s for 1.2 seconds. They all started at the same location from rest.
Which lists them from least to most acceleration?
Max Finley Xander
Max Xander Finley
Xander Finley Max
Finley Xander Max
Acceleration is given by the equation:
Acceleration = (Final velocity - Initial velocity) / Time
Let's calculate the acceleration for each person:
Xander:
Initial velocity = 0 m/s (since he started from rest)
Final velocity = 4.5 m/s
Time = 3.5 seconds
Acceleration of Xander = (4.5 m/s - 0 m/s) / 3.5 seconds = 1.29 m/s²
Finley:
Initial velocity = 0 m/s (since he started from rest)
Final velocity = 3.6 m/s
Time = 4.2 seconds
Acceleration of Finley = (3.6 m/s - 0 m/s) / 4.2 seconds = 0.86 m/s²
Max:
Initial velocity = 0 m/s (since he started from rest)
Final velocity = 7.3 m/s
Time = 1.2 seconds
Acceleration of Max = (7.3 m/s - 0 m/s) / 1.2 seconds = 6.08 m/s²
Arranging them in order from least to most acceleration:
Finley (0.86 m/s²) < Xander (1.29 m/s²) < Max (6.08 m/s²)
So, the correct answer is: Finley Xander Max.
Two objects collide and bounce apart. Assuming no outside forces act on the system, which best describes the total momentum after the collision?
It is always greater than it was before the collision.
It is often greater than it was before the collision.
It is always the same as it was before the collision.
It is often the same as it was before the collision.