Question

Question 1 of 10 A partide has a mass of 20 kg and a velocity of 5 m/s. After it collides with a stationary 15 kg mass it remains attached. What is the speed of the both masses? (10 points) 6.67 m/s B. 2.86 m/s C. 17.5 m/s​

Answer 1

B. 2.86 m/s.

Step-by-step explanation:

The correct answer is B. 2.86 m/s.

To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system before a collision is equal to the total momentum after the collision.

Let the initial velocity of the 20 kg mass be v1, and let the final velocity of both masses be vf. We can write:

(m1 * v1) + (m2 * 0) = (m1 + m2) * vf

where m1 is the mass of the 20 kg particle, m2 is the mass of the 15 kg particle, and vf is the final velocity of both particles.

Substituting the given values, we get:

(20 kg * 5 m/s) + (15 kg * 0) = (20 kg + 15 kg) * vf

100 kg*m/s = 35 kg * vf

vf = 100 kg*m/s / 35 kg = 2.857 m/s

Therefore, the final velocity of both masses after the collision is approximately 2.86 m/s.