Answer:
The time constant is 
Explanation:
From the question we are told that
The spring constant is 
The mass of the ball is 
The amplitude of the oscillation t the beginning is 
The amplitude after time t is 
The number of oscillation is 
Generally the time taken to attain the second amplitude is mathematically represented as
Here T is the period of oscillation
=> 
=> 
Generally the amplitude at time t is mathematically represented as
Here a is the damping constant so
at ,
So
=> 
taking natural log of both sides
=> 
=> 
Generally the time constant is mathematically represented as
=> 
=>
The trigonometric ratios are sine, cosine and tangent. We can use cosine to find the length of the shadow from the calculation as 1.7 ft.
<h3>What is trigonometric ratio?</h3>
The term trigonometric ratio has to do with sine, cosine and tangent which are used to solve problems that involve the right angled triangle.
Using the geometry of the right angle triangle, we can find the tangent of the angle 30 in order to obtain the length of the shadow.
Tan 30° = opp/3
opp = 3Tan 30°
opp = 1.7 ft
The length of the girl's shadow from the calculation is 1.7 ft.
Learn more about tangent: brainly.com/question/14022348
Answer:
b
every magnet is made of many aligned smaller magnets
Explanation:
Answer:
option ( a ) is correct .
Explanation:
Escape velocity on the earth = √ ( 2 GM / R )
where G is universal gravitational constant , M is mass of the earth and R is radius .
V₀ = √ ( 2 GM / R )
escape velocity on the planet where mass is equal is earth's mass and radius is 4 times that of the earth
Radius of the planet = 4 R
escape velocity of planet = √ ( 2 GM / 4R )
= .5 x √ ( 2 GM / R )
= .5 V₀
option ( a ) is correct .
