1. Plasticine balls with masses of 200 g and 150 g move along a straight line towards each other at speeds v=0.5m/s and v_(.,)=1m/s There is an absolutely inelastic collision between the balls. a) What are the projections of the velocities of the balls on the x-axis directed along the velocity of the first ball? b).How is the velocity of the body formed as a result of collision directed? b) What is the projection of the velocity of the formed body on the x axis?

a) The projections of the velocities of the balls on the x-axis directed along the velocity of the first ball can be calculated using the formula:<br /><br />$v_{x1} = v \cdot \cos(\theta)$<br /><br />where $v_{x1}$ is the projection of the velocity of the first ball on the x-axis, $v$ is the velocity of the first ball, and $\theta$ is the angle between the velocity and the x-axis.<br /><br />Since the balls are moving along a straight line towards each other, the angle $\theta$ is 0 degrees. Therefore, the projection of the velocity of the first ball on the x-axis is:<br /><br />$v_{x1} = 0.5 \cdot \cos(0) = 0.5 \, \text{m/s}$<br /><br />Similarly, the projection of the velocity of the second ball on the x-axis is:<br /><br />$v_{x2} = -1 \cdot \cos(0) = -1 \, \text{m/s}$<br /><br />b) The velocity of the body formed as a result of the collision is directed along the velocity of the first ball. This is because the collision is absolutely inelastic, meaning the two balls stick together and move as a single body after the collision.<br /><br />c) The projection of the velocity of the formed body on the x-axis is the same as the projection of the velocity of the first ball on the x-axis, which is:<br /><br />$v_{x} = 0.5 \, \text{m/s}$