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Artemon [7]
4 years ago
12

A bee flies forward at 4.9m/s for 48s , lands on a flower and stays there for 28s , then flies back along its previous route at

5.1m/s for 38s . What is the total displacement of the bee? Round your answer to the nearest thousandth, if necessary.
Physics
1 answer:
Rom4ik [11]4 years ago
3 0

"Displacement" is the distance and direction between the start-point and the end-point, regardless of the route taken on the way.

From this definition, it's easy to see that the bee's displacement at the end of the adventure is zero.

The bee's distance and average speed could also be calculated using the given information, but are not requested.

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Answer:

a

 \theta _2  = 13^o

b

 \theta _1  =32.94^o

c

 \theta_c  =  53.05^o    

Explanation:

From the question we are told that

    The angle of incidence is  \theta_1 =  10^o

    The refractive index of water is  n_1 = 1.3

  Generally Snell's law is mathematically represented as

          n_1 sin(\theta_1) =  n_2 sin(\theta_ 2)

Here n_2 is the refractive index of air with value  n_2 =  1

         \theta_2  is the angle of refraction

So  

        \theta _2  =  sin^{-1}[\frac{n_1 * sin(\theta _1)}{n_2} ]

=>     \theta _2  =  sin^{-1}[\frac{1.3 * sin(10)}{1} ]

=>     \theta _2  = 13^o

Given that the angle should not be greater than \theta _2 =45^o  then the angle of incidence will be

       \theta _1  =  sin^{-1}[\frac{n_2 * sin(\theta _2)}{n_1} ]

=>     \theta _1  =  sin^{-1}[\frac{1 * sin(45)}{1.3} ]

=>     \theta _1  =32.94^o

Generally for critical angle is mathematically represented as

        \theta_c  =  sin^{-1}[\frac{n_2}{n_1} ]

=>     \theta_c  =  sin^{-1}[\frac{1}{1.3} ]  

=>     \theta_c  =  53.05^o            

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