Explanation:
Period of a spring mass arrangement is given by
where m is mass and k is spring constant.
So period of spring mass arrangement is independent of amplitude of motion.
Here amplitude changes from A to 2A.
Period for amplitude A is given by T.
Since period remains same for amplitude 2A also, the period is T.
Option B is the correct answer.
Answer:
Initial Kinetic energy of alpha particle is 9.45x10⁻¹³ J .
Explanation:
The distance at which the initial kinetic energy of the particle is equal to the potential energy is known as closest distance. As it is Rutherford scattering, so it is a coulomb potential energy.
Let K be the initial kinetic energy of alpha particle and r be the closest approach distance. So,
Initial Kinetic Energy = Coulomb Potential Energy
K =
Here, k is constant, e is charge of electron and Z is the atomic number of silver.
Put 9x10⁹ N m²/C² for k, 1.6x10⁻¹⁹ C for e, 47 for Z and 22.9x10⁻¹⁵ m for r in the above equation.
K =
K = 9.45x10⁻¹³ J
Heat absorbed to raise the temperature is given by
here
m = mass
c = 7.11 J/g C
Q = 138 KJ
Now by using the above formula we will have
So the amount of the substance will be 3.88 kg
To solve this problem we must basically resort to the kinematic equations of movement. For which speed is defined as the distance traveled in a given time. Mathematically this can be expressed as
Where
d = Distance
t = time
For which clearing the time we will have the expression
Since we have two 'fluids' in which the sound travels at different speeds we will have that for the rock the time elapsed to feel the explosion will be:
In the case of the atmosphere -composite of air- the average speed of sound is 343m / s, therefore it will take
The total difference between the two times would be
Therefore 3.357s will pass between when they feel the explosion and when they hear it
Answer:
<u>198785.714286 Joules</u>
Explanation:
<u>To find work:</u>
Now that the force and the distance are known, plug and chug:
Note that the question is asking for the magnitude of work, so the negative can be discarded as it is a directional component.
So, your answer is
<u>198785.714286 Joules</u>