A 3.00-kg blob of putty moving at 2.40 m/s slams into a 4.80- g blob of putty at rest. Calculate the speed of the two stuck-together blobs of putty immediately after colliding

To calculate the speed of the two stuck-together blobs of putty immediately after colliding, we can use the principle of conservation of momentum.

The momentum before the collision is equal to the momentum after the collision:

(mass1 * velocity1) + (mass2 * velocity2) = (mass1 + mass2) * velocity'

where:
mass1 = 3.00 kg (mass of the moving blob of putty)
velocity1 = 2.40 m/s (velocity of the moving blob of putty)
mass2 = 4.80 g = 0.0048 kg (mass of the blob of putty at rest)
velocity2 = 0 m/s (velocity of the blob of putty at rest)
velocity' = velocity of the two stuck-together blobs of putty after collision (to be calculated)

Substituting the values into the equation, we get:

(3.00 kg * 2.40 m/s) + (0.0048 kg * 0 m/s) = (3.00 kg + 0.0048 kg) * velocity'

Simplifying the equation, we have:

7.20 kg·m/s = 3.0048 kg * velocity'

Dividing both sides by 3.0048 kg, we get:

velocity' = 7.20 kg·m/s / 3.0048 kg

velocity' = 2.3972 m/s

Therefore, the speed of the two stuck-together blobs of putty immediately after colliding is approximately 2.40 m/s.

To calculate the speed of the two stuck-together blobs of putty immediately after colliding, 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 (p) is defined as the product of the mass (m) and velocity (v):

p = m * v

Before the collision, the first blob of putty has a mass (m1) of 3.00 kg and a velocity (v1) of 2.40 m/s. The second blob of putty is at rest, so its mass (m2) is 4.80 g, which can be converted to kilograms (0.00480 kg).

The total momentum before the collision (p_total) can be calculated as the sum of the momenta of the two blobs:

p_total = p1 + p2

To find the speed of the two stuck-together blobs of putty immediately after the collision, we need to determine the total mass and the final velocity of the combined blobs.

The total mass (m_total) of the combined blobs is the sum of their individual masses:

m_total = m1 + m2

The final velocity (v_final) of the combined blobs can then be calculated using the principle of conservation of momentum:

p_total = m_total * v_final

Rearranging this equation, we get:

v_final = p_total / m_total

Substituting the values we have:

v1 = m1 * v1
v2 = m2 * v2
p_total = v1 + v2
m_total = m1 + m2

We can now calculate the total momentum and the speed of the combined blobs.

p_total = (3.00 kg * 2.40 m/s) + (0.00480 kg * 0 m/s)
p_total = 7.20 kg*m/s

m_total = 3.00 kg + 0.00480 kg
m_total = 3.00480 kg

v_final = 7.20 kg*m/s / 3.00480 kg
v_final ≈ 2.397 m/s

Therefore, the speed of the two stuck-together blobs of putty immediately after colliding is approximately 2.397 m/s.