In a closed system, an object with a mass of 10 kg moves at a velocity of 5.4 m/s. It collides with a second object that has a mass of 12 kg and that is moving in the opposite direction with a velocity of 3.5 m/s. What is the total momentum of the system after the collision?

(A)12 kg-m/s

(B)66 kg-m/s

(C)42 kg-m/s

(D)54 kg-m/s

My answer is A, but if that's the wrong answer I believe it would be D

the total system momentum does not change

(10 kg * 5.4 m/s) - (12 kg * 3.5 m/s) = ? kg⋅m/s

no typo (that I can see) ... A looks good

A

P=MV
P= M1V1-M2V2
5.4*10-12*3.5 = 12

Thank you Scott!

sanju is right

Did you get it right?

What is the acceleration of a plane with a net force of 2000N and a mass of 20000kg?

To R_Scott thank you for explaining it in a way where I could know how to get the answer myself

To get the total momentum of the system after the collision, you need to apply the principle of conservation of momentum.

The principle of conservation of momentum states that in a closed system, the total momentum before a collision is equal to the total momentum after the collision, provided there are no external forces acting on the system.

Mathematically, this can be expressed as:

Total initial momentum = Total final momentum

Let's calculate the total initial momentum:

Initial momentum of the first object = mass of the first object * velocity of the first object
= 10 kg * 5.4 m/s

Initial momentum of the second object = mass of the second object * velocity of the second object
= 12 kg * (-3.5 m/s) (Note: The velocity of the second object is taken as negative since it is moving in the opposite direction)

Now, add the two momenta together:

Total initial momentum = (10 kg * 5.4 m/s) + (12 kg * (-3.5 m/s))

Next, let's calculate the total final momentum. Since the final momentum is the same as the initial momentum due to the conservation of momentum:

Total final momentum = Total initial momentum

Finally, calculate the value of the total final momentum to find the correct answer option:

Total final momentum = (10 kg * 5.4 m/s) + (12 kg * (-3.5 m/s))

Once you calculate the value, you can compare it with the answer options given in the question to determine the correct answer.

why do you think A?

But if it "might be" D, are you just guessing?
I suspect a typo, because I don't like any of the choices.
You show me your work, and I'll show you mine.