Answer:
C ) 1.53
Explanation:
The critical angle of a material is given by the formula
where
c is the critical angle
n is the refractive index
This formula is valid if the second medium is air (which is the case of the problem).
In this problem, we know the critical angle:
Therefore we can rearrange the equation to find the refractive index:
vector A has magnitude 12 m and direction +y
so we can say
vector B has magnitude 33 m and direction - x
Now the resultant of vector A and B is given as
now for direction of the two vectors resultant will be given as
so it is inclined at 160 degree counterclockwise from + x axis
magnitude of A and B will be
so magnitude will be 35.11 m
Answer:
a) t = 0.74s
b) D = 4.76m
c) Vf = 5.35m/s
Explanation:
The ball starts rolling when Vf = ωf*R.
We know that:
Vf = Vo - a*t
ωf = ωo + α*t
With a sum of forces on the ball:
With a sum of torque on the ball:
Replacing both accelerations:
t=0.74s
The distance will be:
Final velocity:
Vf=5.35m/s