Answer:
181 m
Explanation:
a = v² / r
6.09 (9.81 m/s²) = (104 m/s)² / r
r = 181 m
Using law of conservation of energy, "Energy can neither be created nor be destroyed but it can be transformed from one form to another".
That is, sum of Kinetic energy and Potential energy at initial point is equal to the sum of Kinetic energy and Potential energy at final point.
We can say that,
(K.E)1 + (P.E.)1 = (K.E)2 + (P.E)2
1/2 m1 * v1² + m1*g*h1 = 1/2 m2 * v2² + m2* g*h2
For motion in circular path,
Initial velocity v1 is at h1 =0
Final velocity v2 is at h2= d
For rotational motion, inertia is denoted by I.
1/2 I1 * v1² = 1/2 I2* v2² + I2 gd
1/2 I2*v2² = 1/2 I1*v1²- I2 gd
v2²= I1/I2 * v1²- 2 gd
v2= √(I1/12* v1²- 2gd)
The above equation gives the speed of the ball when it reaches the top of circular path in term of I, g and d.
<span>In physics, the law of conservation of energy states that the total energy of an isolated system remains constant—it is said to be conserved over time. Energy can neither be created nor destroyed; rather, it transforms from one form to another. For instance, chemical energy can be converted to kinetic energy in the explosion of a stick of dynamite.</span>
Answer:
a )1.851
b ) 32.68°
Explanation:
The relation between critical angle and index of refraction is as follows
Sin C = 1 / μ
C is critical angle and μ is refractive index.
Given C = 47.3
Sin 47.3 = 1 / μ
0.735 = 1 / μ
μ = 1 / .735
= 1.36
This is with respect to ethanol .
1.36 = refractive index of material / refractive index of ethanol
refractive index of material = 1.36 x refractive index of ethanol
= 1.36 x 1.361 = 1.851
If critical angle for this substance be A
Sin A = 1 / 1.851 = .54
A = 32.68° .