Part A

A 3.00 kgblob of putty moving at 2.4 m/s slams into a 4.80 kg blob of putty at rest. Calculate the speed of the two stuck-together blobs of putty immediately after colliding.

To solve this problem, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.

The momentum of an object is calculated by multiplying its mass by its velocity. So, the momentum of the first blob of putty before the collision is:

Momentum1 = mass1 * velocity1

Momentum1 = 3.00 kg * 2.4 m/s

Similarly, the momentum of the second blob of putty before the collision is:

Momentum2 = mass2 * velocity2

Since the second blob is at rest, its velocity is 0, so:

Momentum2 = 4.80 kg * 0 m/s

The total momentum before the collision is the sum of these two momenta:

Total momentum before collision = Momentum1 + Momentum2

Total momentum before collision = 3.00 kg * 2.4 m/s + 4.80 kg * 0 m/s

Now, since the blobs stick together after the collision, they move together as a single object. Let's call the mass of the combined blobs as "mass_combined" and the velocity of the combined blobs as "velocity_combined". The total momentum after the collision is:

Total momentum after collision = mass_combined * velocity_combined

According to the conservation of momentum principle, the total momentum before the collision is equal to the total momentum after the collision. Therefore:

Total momentum before collision = Total momentum after collision

3.00 kg * 2.4 m/s + 4.80 kg * 0 m/s = mass_combined * velocity_combined

To calculate the velocity_combined, we need to know the mass_combined. Since the blobs stick together after the collision, the total mass after the collision is the sum of the masses of the individual blobs.

mass_combined = mass1 + mass2

mass_combined = 3.00 kg + 4.80 kg

Once we have the mass_combined, we can solve for the velocity_combined using the equation:

velocity_combined = (3.00 kg * 2.4 m/s + 4.80 kg * 0 m/s) / (3.00 kg + 4.80 kg)

This will give us the velocity of the two stuck-together blobs of putty immediately after colliding.