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balu736 [363]
3 years ago
9

Interactive Solution 26.7 offers one model for problems like this one. In a certain time, light travels 3.97 km in a vacuum. Dur

ing the same time, light travels only 2.61 km in a liquid. What is the refractive index of the liquid
Physics
1 answer:
jenyasd209 [6]3 years ago
4 0

Answer:

Refractive Index = 1.52

Explanation:

As we know speed of light in vaccum is 3 x 10^8 meters per second and distance tavelled by light is 3.97 km or 397000m.

Time taken by light in vaccum = distance / speed = 397000 / 3 x 10^8 = 1.323 x 10^-3 s

Speed of light in liquid = distance / time taken = 261000 / 1.323 x 10^-3 = 197278911 ms^-1 = 1.972 x 10^ 8 ms^-1

According to Snell's law

Refractive index = speed of light in vaccum / speed of light in medium = 3 x 10^8 ms^-1 / 1.972 x 10^8 ms^-1 = 1.52

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Saturn orbits the Sun at a radius of about 1.4×109 km. At this distance the force of gravity on Saturn due to the Sun is 3.7×102
Afina-wow [57]

Explanation:Saturn is the second largest planet of the solar system in mass and size and the sixth nearest planet in distance to the Sun.

In the night sky Saturn is easily visible to the unaided eye as a non twinkling point of light.

8 0
3 years ago
Calculate the equivalent resistance for both circuits.
Allisa [31]

Answer:

Series equivalent resistance: R_{eq} = 6  \Omega

Parallel equivalent resistance: R_{eq}=14\Omega

Explanation:

The equivalent resistance in series circuit is calculated as

R_{eq} = R_{1} + R_{2}

R_{eq} = 2 + 4

R_{eq} = 6  \Omega

The equivalent resistance in parallel circuit is calculated as

\frac{1}{R_{eq}} = \frac{1}{R_{1}}+\frac{1}{R_{2}}

Which can be simplified to

R_{eq}=\frac{R_{1}\times R_{2}}{R_{1}+R_{2}}

R_{eq}=\frac{21\times 42}{21+42}

R_{eq}=14\Omega

The parallel circuit has the higher equivalent resistance as compared to series circuit.

5 0
4 years ago
How much energy must be removed from a 450 g block of ice to cool it from 0∘c to -20 ∘c?
frutty [35]
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3 0
4 years ago
Please help! Giving 20 points!!
MrMuchimi

Answer:

Explanation:

Remark

This is a momentum question. Both cars are sitting still (v1 and v2 are both 0) to start with). When the spring is sprung), they both move but in opposite directions.

Let us say that v4 is minus.

Equation

0 = m3*v3 - m4* v4

Givens

m3 = 1750 kg

m4 = 1000 kg

v3 = 4 m/s

Solution

m3*4m/s - m4*x = 0

1750 * 4 - 1000*x = 0

1750 * 4 = 1000x

7000 = 1000 x

7000/1000 = x

x = 7 m/s

7 0
3 years ago
Interactive Solution 11.35 presents one method for modeling this problem. Multiple-Concept Example 8 also presents an approach t
shepuryov [24]

Answer:

a) Fi = 85.76 N

b) Fi = 87.8 N

Explanation:

Given:-

- Density of hydraulic oil, ρ = 804 kg/m^3

- The radius of input piston, ri = 0.00861 m

- The radius of output piston, ro = 0.141 m

Find:-

What input force F is needed to support the 23000-N combined weight of a car and the output plunger, when

(a) the bottom surfaces of the piston and plunger are at the same level

(b) the bottom surface of the output plunger is 1.10 m above that of the input plunger?

Solution:-

For part a.

- We see that both plungers are equal levels or there is no pressure due to elevation head. So we are only dealing with static pressure exerted by the hydraulic oil on both plungers to be equal. This part is an application of Pascal's Law:

                                  Pi = Po

                                  Fi / Ai = Fo / Ao

                                  Fi = Ai / Ao * Fo

                                  Fi = (ri/ro)^2 * Fo

                                  Fi = ( 0.00861 / 0.141 )^2 * 23000

                                  Fi = 85.76 N

For part b.

- We see that both plungers are at different levels so there is pressure due to elevation head. So we are only dealing with static pressure exerted by the hydraulic oil on both plungers plus the differential in heads. This part is an application of Bernoulli's Equation:

                                  Pi = Po + ρ*g*h

Where,                     h = Elevation head = 1.10m

                                  Fi = (ri/ro)^2 * Fo + ρ*g*h*π*ri^2

                                  Fi = 85.76 + (804*9.81*1.1*3.142*0.00861^2)

                                  Fi = 87.8 N

3 0
3 years ago
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