Solve the following word problems.
1. The ratio of red marbles and blue marbles that Carlo has is 8: 3. When he
exchanged 35 red marbles for 20 blue marbles from his brother, he was left with
equal number of red and blue marbles.
How many red and blue marbles did he have at the beginning
How many red and blue marbles did he have now
Answer:
It will not change
Explanation:
The period of oscillation of a mass-spring system is given by

where
T is the period
m is the mass hanging on the spring
k is the spring constant
As we see from the formula, the period of oscillation does not depend on the amplitude of the motion: therefore, if we change the amplitude, the time for one oscillation will not change.
Answer:

Explanation:
The angle in rotational motion is given by:

Recall that the angular speed is larger than regular frequency (in rpm) by a factor of
, so:

The wheel spins from rest, that means that its initial angular speed is zero(
). Finally, we have to convert the given time to minutes and replace in the first equation:
