Question

What is pluto's speed at the most distant point in its orbit, where it is 7.30×109km from the sun?

Answer 1

Pluto's speed at its most distant point in its orbit is approximately 4.74 km/s.

Step-by-step explanation:

To calculate the speed of Pluto at its most distant point in its orbit, we can use the concept of orbital velocity. The speed of an object in orbit depends on its distance from the center of mass it is orbiting around, in this case, the Sun.

The orbital velocity can be calculated using the formula: V = sqrt(GM / r), where V is the velocity, G is the gravitational constant, M is the mass of the Sun, and r is the distance between Pluto and the Sun. Given that Pluto is 7.30×10^9 km from the Sun, we can substitute these values into the formula to calculate the speed.

Using the given information, the gravitational constant G is approximately 6.67430 × 10^-11 N(m/kg)^2 and the mass of the Sun M is approximately 1.989 × 10^30 kg.

Plugging these values into the formula, we get:

V = sqrt((6.67430 × 10^-11 N(m/kg)^2 * 1.989 × 10^30 kg) / (7.30×10^9 km * 1000 m/km)),

V = sqrt((6.67430 * 1.989 × 10^19) / (7.3 × 10^12)),

V ≈ 4.74 km/s.

Answer 2

Using Keppler's Law, we can calculate the speed of Pluto since we are given the distance of Pluto from the sun which is 7.30x10^9 km.

To solve for the orbital velocity, use this formula:

V = √(GM/R)

where R is the radius
M is the mass of the planet
G is the gravitational force.