Complete Question
The complete question is shown on the first uploaded image
Answer:
Explanation:
From the question we are told that
The tension is
The length of the wire is 
The mass is 
Generally the frequency is mathematically represented as

=> 
=> 
Answer:2 x 10^-5K^-1
Explanation:
The solution is in the attached file
Answer:
Its position after 4 seconds is 62 meters.
Explanation:
It is given that,
The acceleration of the particle is given by equation :

Also, 



At t = 0,
. So, c = 3

Also,
, s is the position



At t = 0,
. So, c' = 10

At t = 4 s

s = 62 m
So, at t = 4 seconds the position of the particle is 62 meters. Hence, this is the required solution.
V=u+at
V= speed 0 m/s
u = initial speed 9.3 m/s
a = acceleration - 4.5 (negative)
0=9.3-4.5t
t=9.3/4.5= ? :) seconds
The component of the crate's weight that is parallel to the ramp is the only force that acts in the direction of the crate's displacement. This component has a magnitude of
<em>F</em> = <em>mg</em> sin(20.0°) = (15.0 kg) (9.81 m/s^2) sin(20.0°) ≈ 50.3 N
Then the work done by this force on the crate as it slides down the ramp is
<em>W</em> = <em>F d</em> = (50.3 N) (2.0 m) ≈ 101 J
The work-energy theorem says that the total work done on the crate is equal to the change in its kinetic energy. Since it starts at rest, its initial kinetic energy is 0, so
<em>W</em> = <em>K</em> = 1/2 <em>mv</em> ^2
Solve for <em>v</em> :
<em>v</em> = √(2<em>W</em>/<em>m</em>) = √(2 (101 J) / (2.0 m)) ≈ 10.0 m/s