An astronaut in a space craft looks out the window and sees an asteroid move pas a backward direction at 68 mph relative to the space craft. if the velocity of the space craft is 126 mph relative to the position of the sun, what is the velocity of the asteroid relative to the sun?

-194 mph

Explanation:

Taking into account the Sun as the center (origin, point zero) of the reference system, the velocity of the spacecraft relative to the Sun is:

 Note it is positive because the spacecraft is moving away from the Sun

Taking into account the spacecraft as the center of another reference system, the velocity of the asteroid relative to the spacecraft is:

Note it is negative because the asteroid is moving towards the spacracft.

Now, the velocity of the asteroid relative to the Sun is:

Finally:

This is the velocity of the asteroid relative to the Sun and its negative sign indicates it is moving towards the Sun.

As temperature rises from 25°C to 60°C, the material absorb heat and its kinetic energy increases as the material goes through vaporization to become a gas.

Explanation:

Heat is said to be the amount of energy present in a substance . it might also be potential energy.

Kinetic energy talks about an energy in motion.

Temperature rise causes an increase in the heat energy as the material tends to absorb more heat and become more energize. Temperature rise also causes an increase in the kinetic energy of the molecules of a substances. As the temperature rise the molecules of the material gain more kinetic energy and the speed at which the molecule move increases to cause faster interaction. Since the material turned to gas their is bound to be higher kinetic energy causing the material to vaporize.