Complete Question
A boy throws a ball on a spring scales which oscillates about the equilibrium position with a period of T = 0.5 sec. The amplitude of the vibration is A = 2 cm. Assume the ball does not bounce from the scales’s surface afterwards. Assume the vibration of the scale is expressed mathematically as x(t) = Acos(t + ). Find:
a) frequency
b) the maximum acceleration
c) the maximum velocity
Answer:
a
b
c
Explanation:
From the question we are told that
The period is
The amplitude is
The vibration of the scale is
Generally the frequency is mathematically represented as
=>
=>
The maximum acceleration is mathematically represented as
=>
=>
The maximum velocity is mathematically represented as
=>
=>
Answer: D
1200
Explanation:
Song 1 is spotted with a cube sign.
At 3 minute, trace the spot to the vertical axis. And you will notice that it a little bit above 10.
Since it is above 10, let assume it is equal to 12.
The number of song downloaded are in hundreds. Therefore, multiply the 12 by 100
12 × 100 = 1200 downloads
Approximately, song 1 has 1200 downloads at minute 3
Answer:
(6.675 × 10⁶) m
Explanation:
A body vibrating in simple harmonic motion has its frequency related to the spring constant and mass of the body through the relation
f = (1/2π) √(k/m)
k = 2233 N/m
m = mass of one molecule of Nitrogen = 28.0 g = 0.028 kg
f = (1/2π) √(2233/0.028)
f = 44.945 Hz
And the photons that'll excite the molecule to the next state must at least have this frequency (f = 44.945 Hz)
For waves, the velocity (v), frequency (f) and wavelength (λ) are related through the relation
v = fλ
v = speed of light (since it's a photon) = (3 × 10⁸) m/s
λ = (v/f) = (3 × 10⁸)/44.945 = 6674824.8 m = (6.675 × 10⁶) m = (6.68 E6) m
Answer:
"6.67 mm" is the right solution.
Explanation:
The given values are:
- L = 2.5 m
- y = .0125
- λ = 600 nm
As we know, the equation
⇒
On substituting the values, we get
⇒
On applying cross multiplication, we get
⇒
⇒
⇒
For new distance, we have to put this value of "a" in the above equation,
⇒
⇒
⇒
⇒
The total distance will be twice the value of "y", we get
=
or,
=
The answer is 45 i hope i could help