Bodies of mass m = 0.5 kg , resting on a horizontal frictionless tabletop, are connected with an unstretched spring of length L = 20 cm , and of spring constant k = 16 N / m . The mass of the spring i

Question

Bodies of mass m = 0.5 kg , resting on a horizontal frictionless tabletop, are connected with an unstretched spring of length L = 20 cm , and of spring constant k = 16 N / m . The mass of the spring is negligible. At a certain moment the bodies are given an initial speed of v 0 ​ = 0.36 m / s , towards the wall on the right. The body at the right collides with the wall totally elastically.

TestHub · Accepted Answer

After the first wall hit: left +0.36, right -0.36; maximum compression when they move together: 2 1 ​ k x 2 = 2 1 ​ ( 0.25 ) ( 0.72 ) 2 ⇒ x = 9 cm - (A) true. The spring expands back to natural length with velocities reversed: right body +0.36 again, so it hits the wall with the spring unstretched - (B) true. After the second hit both move left at 0.36 m / s forever: ∣Δ p ∣ = 2 ( 0.5 ) ( 0.36 ) − ( − 2 ( 0.5 ) ( 0.36 )) = 0.72 kg m/s - (C) true, (D) true. Answer: (A), (B), (C), (D)

Physics - Center of Mass Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion