The word to fill in the blank is "equal". Because the time taken to rotate (spin on its axis) is equal to the time of revolution (going around the earth), this means that both have the same rate of angular rotation. So for every bit that the moon goes around its orbit around earth, the moon itself rotates accordingly to present the exact same side to earth.
The increase in the average kinetic energy of the ball causes the increase in the temperature of the ball.
Kinetic energy of a particle is directly proportional to its temperature.
A ball initially at rest acquires kinetic energy when an external force is applied to it. As the person strikes the ball with a bat, the ball gains momentum which increases its kinetic energy of the ball.
Temperature on the other hand, is the measure of the average kinetic energy of a particle. Consequently, as the kinetic energy of the ball increases, the temperature of the ball increases as well.
Thus, we can conclude that the increase in the average kinetic energy of the ball causes the increase in the temperature of the ball.
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Explanation:
It is given that,
Area of nickel wire, 
Resistance of the wire, R = 2.4 ohms
Initial value of magnetic field, 
Final magnetic field, 
Time, t = 1.12 s
Let I is the induced current in the loop of wire over this time. Te emf induced in the wire is given by Faraday's law as :
Induced current in the loop of wire is given by :
So, the induced current in the loop of wire over this time is 
. Hence, this is the required solution.
