Answer:Expression given below
Explanation:
Given mass of spring
Compression in the spring
Let the spring constant be K
Using Energy conservation
potential energy stored in spring =Kinetic energy of Block
now conserving momentum
where is the final velocity
Answer:
The magnitud of the velocity is
and the direccion:
degrees from the horizontal.
Explanation:
Fist we define our variables:
The letters i and j represent the direction of the movement, i in this case is the horizontal direction, and j is perpendicular to i.
velocities with sub-index 1 are the speeds before the crash, and with sub-index 2 are the velocities after the crash.
Using conservation of momentum:
Clearing for the velocity of the stone after the crash:
Substituting known values:
The magnitud of the velocity is :
and the direction:
this is -28.3 degrees from the +i direction or the horizontal direcction.
Note: i and j can also be seen as x and y axis.