Explanation:
Given that,
The vertical motion of mass A is defined by the relation as :

At t = 1 s

x = 115.33 mm
(a) We know that,
Velocity, 


At t = 1 s

v = 18.94 mm/s
We know that,
Acceleration, 


At t = 1 s


(b) For maximum velocity,

t = 45 seconds
For maximum acceleration,

t = 61.8 seconds
Hence, this is the required solution.
Answer:
The power is 
Explanation:
From the question we are told that
The distance from the siren is 
The intensity level is 
The threshold of hearing is 
Generally the intensity level is mathematically represented as
![\beta = 10dB * log [\frac{I}{I_o} ]](https://tex.z-dn.net/?f=%5Cbeta%20%20%3D%20%2010dB%20%2A%20log%20%5B%5Cfrac%7BI%7D%7BI_o%7D%20%5D)
Where I is the intensity at which the siren radiates the sound
substituting values
![49 = 10 * log [\frac{I}{1.0 *10^{-12}} ]](https://tex.z-dn.net/?f=49%20%20%3D%20%2010%20%2A%20log%20%5B%5Cfrac%7BI%7D%7B1.0%20%2A10%5E%7B-12%7D%7D%20%5D)
=> 
Now the amount of power the siren put out is mathematically evaluated as

Where A is the area of the siren which is taken as a sphere and it is mathematically evaluated as
So

substituting values


Answer:
- The size of a force
- The perpendicular distance from the pivot the line of action of force
Explanation:
Factors that affect the moment of a force are;
- The size of a force
- The perpendicular distance from the pivot the line of action of force
The magnitude of force applied is directly proportional to the moment of force in that for a perpendicular distance d, increased in force applied will result to a higher moment of force. When the perpendicular distance from the pivot is decreased while the force applied remains constant, the moment of force decreases.
The correct answer to the question is B) 5,700 years.
EXPLANATION:
Before going to answer this question, first we have to understand half life period of a radio active substance.
The half life period
of a radio active substance is defined as the time in which half of the radio active specimen has undergone decay.
As per the question, the initial concentration of the radioactive carbon-14 is given as 10,000.
Hence, initial concentration
.
After 5,700 years, the remaining radio active specimen is 5000. It means that half of the radio active specimen has undergone decay in 5,700 years.
Hence, half life period of the radio active carbon-14 specimen is 5,700 years.
Answer is 76 degrees.
The law of reflection states that when a line is reflected on a straight plane, the angle of incidence is equal to the angle of reflection. In this case, the angle of incidence and the angle reflection are 76 degrees.