the frequency (in hz) of these vibrations if the car moves at 24.2 m/s is 605 HZ .
Calculation :
frequency = 
frequency = 
= 605 HZ
Frequency describes the number of waves passing through a particular location in a particular time. So if the wave takes 1/2 second to travel, the frequency is 2 per second. If it takes 1/100th of an hour, the frequency is 100 per hour.
Frequency is the number of occurrences of a repeating event per unit time. ... sometimes called time-frequency for clarity,
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This question involves the concept of kinetic energy.
The student's claim is "right".
<h3>Kinetic Energy</h3>
The energy possessed by a body, by the virtue of its motion is called kinetic energy. Mathematically it is given by the following formula:

where,
- K.E = Kinetic energy
- m = mass
- v = velocity
Therefore,
For the paintball:

K.E = 16200 J
For the pellet:

K.E = 16200 J
Hence, both paintball and pellet will have same kinetic energy. The student is right.
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The speed of the toy when it hits the ground is 2.97 m/s.
The given parameters;
- mass of the toy, m = 0.1 kg
- the maximum height reached by the, h = 0.45 m
The speed of the toy before it hits the ground will be maximum. Apply the principle of conservation of mechanical energy to determine the maximum speed of the toy.
P.E = K.E

Substitute the given values and solve the speed;

Thus, the speed of the toy when it hits the ground is 2.97 m/s.
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Given :
Initial speed of car A is 15 m/s and initial speed of car B is zero.
Final speed of car A is zero and final speed of car B is 10 m/s.
To Find :
What fraction of the initial kinetic energy is lost in the collision.
Solution :
Initial kinetic energy is :

Final kinetic energy is :

Now, fraction of initial kinetic energy loss is :

Therefore, fraction of initial kinetic energy loss in the collision is 1.25 .