Chapter 13: Q. 34 (page 354)

Pluto moves in a fairly elliptical orbit around the sun. Pluto’s speed at its closest approach of $4.43 \times 10^{9}$ km is 6.12 km/s. What is Pluto’s speed at the most distant point in its orbit, where it is $7.30 \times 10^{9}$ km from the sun?

Short Answer

Expert verified

The Pluto's speed at the most distant point in its orbit is $3.71 k m / s$ .

Step by step solution

Step 1. Given information

Here,

r_{1} = {closestdistance=4.43×10}^{9} km v_{1} =speedatclosestdistance=6.12km/s r_{2} {=farthestdistance=7.30×10}^{9} km v_{2} =?

Step 2. Formula used

Angular momentum, L=mvr

where,

m=mass of planet

r=distance from sun

v=speed of planet

Step 3. Calculation

As angular momentum should remain constant.

${mv}_{1} r_{1} {=mv}_{2} r_{2} {⇒v}_{2} {=v}_{1} r_{1} {/r}_{2} \Rightarrow v_{2} = \frac{4.43 \times 10^{9} \times 6.12}{7.30 \times 10^{9}} km/s \Rightarrow v_{2} =3.71km/s$

Step 4. Conclusion

The speed of pluto at most distant point is 3.71km/s.

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Pluto moves in a fairly elliptical orbit around the sun. Pluto’s speed at its closest approach of $4.43 \times 10^{9}$ km is 6.12 km/s. What is Pluto’s speed at the most distant point in its orbit, where it is $7.30 \times 10^{9}$ km from the sun?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Formula used

Step 3. Calculation

Step 4. Conclusion

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Pluto moves in a fairly elliptical orbit around the sun. Pluto’s speed at its closest approach of 4.43×109km is 6.12 km/s. What is Pluto’s speed at the most distant point in its orbit, where it is7.30×109km from the sun?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Formula used

Step 3. Calculation

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Magnetism and Electromagnetic Induction

Quantum Physics

Fundamentals of Physics

Electromagnetism

Waves Physics

Modern Physics

Study anywhere. Anytime. Across all devices.

Pluto moves in a fairly elliptical orbit around the sun. Pluto’s speed at its closest approach of $4.43 \times 10^{9}$ km is 6.12 km/s. What is Pluto’s speed at the most distant point in its orbit, where it is $7.30 \times 10^{9}$ km from the sun?