Question

A Two-Body Collision with a Spring A block of mass m,-1.9 kg initially moving to the right with a speed of 3.2 m/s on a frictionless, horizontal track collides with a spring attached to a second block of mass m2 - 3.9 kg initially moving to the left with a speed of 1.8 m/s as shown in figure (a). The spring constant is 505 N/m in A moving block collides with another moving block with a spring attached: (a) before the co and (b) at one instant during the collision (A) Find the velocities of the two blocks after the collision (B) During the collision, at the instant block 1 is moving to the right with a velocity of 0.8 m/s as in figure (b), determine the velocity of block 2. (C) Determine the distance the spring is compressed at that instant SOLVE IT (A) Find the velocities of the two blocks after the collision Conceptualize: With the help of figure (a), run an animation of the collision in your mind. Figure (b) shows an instant during the collision when the spring is compressed. Eventually, block 1 and the spring will again separate, so the system will look like figure (a) again but with different velocity vectors for the two blocks Categorize: Because the spring force is conservative, kinetic energy in the system is not transformed to internal energy during the compression of the spring. Ignoring any sound made when the block hits the spring, we can categorize the collision as being elastic. Analyze: Because momentum of the system is conserved, apply the equation Substitute the known values: (1.9 kg)(3.2 m/s) (3.9 kg)(-1.8 m/s) (1.9 kg)Vi + (3.9 kg)V2f (1) -0.94 kg m/s (1.9 kg)Vif + (3.9 kg)V2f

Answer 1

Please please let me know if you have any doubt....