Question

Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg are released from rest at a height of h = 5.00 m on a frictionless track as shown in the figure below. When they meet on the level portion of the track, they undergo a head-on collision. (a) At the instance shown, what is the x-coordinate of the center of mass for two blocks? (3pt) (b) What are the velocities of blocks just before their collision? Note that the blocks move in opposite directions just before the collision. (4pt) (c) If the collision is elastic, what are the velocities of blocks m1 and m2 immediately after the collision? (5pt) (d) To what heights will the blocks rise after the collision? (4pt) (e) Now, if the collision in (a) is completely inelastic (the blocks stick together), what is the velocity of the blocks immediately after the collision? (4pt) Bonus: How much kinetic energy is lost in the inelastic collision in (e)? (3pt)

          Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg are released from rest at a height of h = 5.00 m on a frictionless track as shown in the figure below. When they meet on the level portion of the track, they undergo a head-on collision.

(a) At the instance shown, what is the x-coordinate of the center of mass for two blocks? (3pt)
(b) What are the velocities of blocks just before their collision? Note that the blocks move in opposite directions just before the collision. (4pt)
(c) If the collision is elastic, what are the velocities of blocks m1 and m2 immediately after the collision? (5pt)
(d) To what heights will the blocks rise after the collision? (4pt)
(e) Now, if the collision in (a) is completely inelastic (the blocks stick together), what is the velocity of the blocks immediately after the collision? (4pt)
Bonus: How much kinetic energy is lost in the inelastic collision in (e)? (3pt)

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Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg are released from rest at a height of h = 5.00 m on a frictionless track as shown in the figure below. When they meet on the level portion of the track, they undergo a head-on collision.

(a) At the instance shown, what is the x-coordinate of the center of mass for two blocks? (3pt)
(b) What are the velocities of blocks just before their collision? Note that the blocks move in opposite directions just before the collision. (4pt)
(c) If the collision is elastic, what are the velocities of blocks m1 and m2 immediately after the collision? (5pt)
(d) To what heights will the blocks rise after the collision? (4pt)
(e) Now, if the collision in (a) is completely inelastic (the blocks stick together), what is the velocity of the blocks immediately after the collision? (4pt)
Bonus: How much kinetic energy is lost in the inelastic collision in (e)? (3pt)

Added by Lori G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Emily Anderson

07/22/2022

Step 1

The x-coordinate of the center of mass \( x_{\text{cm}} \) is given by: \[ x_{\text{cm}} = \frac{m_1 x_1 + m_2 x_2}{m_1 + m_2} \] Given: \[ m_1 = 2.00 \, \text{kg}, \quad m_2 = 4.00 \, \text{kg} \] \[ x_1 = -5.00 \, \text{m}, \quad x_2 = 5.00 \, \text{m} Show more…

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Problem 2 Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg are released from rest at a height of h = 5.00 m on a frictionless track as shown in the figure below. When they meet on the level portion of the track, they undergo a head-on collision. (a) At the instance shown, what is the x-coordinate of the center of mass for two blocks? (3pt) (b) What are the velocities of blocks just before their collision? Note that the blocks move in opposite directions just before the collision. (4pt) (c) If the collision is elastic, what are the velocities of blocks m1 and m2 immediately after the collision? (5pt) (d) To what heights will the blocks rise after the collision? (4pt) (e) Now, if the collision in (a) is completely inelastic (the blocks stick together), what is the velocity of the blocks immediately after the collision? (4pt) Bonus: How much kinetic energy is lost in the inelastic collision in (e)? (3pt)

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