Pluto’s diameter is approximately 2370 km, and the diameter of its satellite Charon is 1250 km. Although the distance varies, they are often about 19,700 km apart, center to center. Assuming that both Pluto and Charon have the same composition and hence the same average density, find the location of the center of mass of this system relative to the center of Pluto.

Pluto’s diameter is approximately 2370 km, and the diameter of its satellite Charon is 1250 km. Although the distance varies, they are often about 19,700 km apart, center to center. Assuming that both Pluto and Charon have the same composition and hence the same average density, find the location of the center of mass of this system relative to the center of Pluto.

Related questions

Q: To mend satellites approaching one another at a relative speed of 0.350M/S intend to dock. The first…

Q: A disk of radius R and density o(r) = 0,(1 –-). A semi-circular disk of uniform density and radius…

A: Solution: The determination of center of mass is given below:

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

A: The given points are - (0,0) , (2,1) , (0,3) ρ(x,y) = 2(x+y) To find = a) mass b)…

Q: Calculate the increase in velocity of a 4000-kg space probe that expels 3500 kg of its mass at an…

A: Given Data: The initial mass of a space probe is, m0=4000 kg The remaining mass of a space probe…

Q: A spaceship at rest relative to a nearby star in interplanetary space has exhaust speed of 5.00 x 10…

Q: During a lunar mission, it is necessary to increase the speed of a spacecraft by 3.18 m/s when it is…

A: givenspeed of spare craft relative to moon=460m/sincrease of speed of space craft=3.18 m/stotal…

Q: Consider a rod of length L. The mass per unit length of the rod, p, varies as p = Pos/L, where po is…

Q: A small rocket is launched (from rest) in space, far away from gravitational influences of other…

A: Given data: Exhaust speed or jet velocity vj=1652 m/s. The formula velocity of the rocket is given…

Q: The space shuttle launches an 850-kg satellite by ejecting it from the cargo bay. The ejection…

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

Q: Suppose a space probe of mass m1 = 4150 kg expels m2 = 3500 kg of its mass at a constant rate with…

A: Given data: The total mass of space probe is m1=4150 kg. The mass expels by space probe is m2=3500…

Q: A two-stage rocket (mass M= 7.20 x 103 kg) initially travels at 4.00 km/s relative to Earth. Then…

A: (a) Using the law of conservation of linear momentum, Pi = Pf 7.20 x 103 x 4 = (6.00 x 103 x 3) +…

Q: A space vehicle is traveling at 4150 km/h relative to the Earth when the exhausted rocket motor is…

Q: Two masses, m and M, are placed along x-axis at a and b, respectively. Find the center of mass for…

Q: 258.74 m/s (vGas) by burning fuel at a rate of 2.03 x10 5 kg/s (dmdT). In full tank, the rocket…

A: Given:- A new design of Saturn 14 rocket with mass m = 1.15 x106 kg eject gases at a constant speed…

Q: ad the position of the center of mass of the system of the sun and Jupiter. Does the center of ss…

A: Center of mass =(m1 x1 +m2 x2 )/m1 +m2

Q: Two manned satellites approach one another at a relative speed of 0.300 m/s, intending to dock. The…

Q: The figure below shows a space hauler (H) initially traveling at 1,000 m/s relative to the sun.…

A: As the system is isolated, the momentum of the center of mass doesn't change, so the principle of…

Q: Two cars are driving in the same direction separated by 220 m. The car in front has a mass of 1500…

A: Given that, Two cars are driving in the same direction separated by 220 m. The car in front has a…

Q: C4B.1 Consider a system consisting of two point particles A and B separated by 25 cm. The distance…

Question

Pluto’s diameter is approximately 2370 km,
and the diameter of its satellite Charon is 1250 km. Although the distance
varies, they are often about 19,700 km apart, center to center.
Assuming that both Pluto and Charon have the same composition and
hence the same average density, find the location of the center of mass
of this system relative to the center of Pluto.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Calculate the increase in velocity of a 4000-kg space probe that expels 3500 kg of its mass at an exhaust velocity of 2.00×103 m/s . You may assume the gravitational force is negligible at the probe’s location.
A 3 kg mass is located at (-3, 3), a 7 kg mass is located at (4, 2) and a 1.2 kg mass is located at (1, -1). (a) Calculate the x coordinate and y coordinate of the center of mass for the mass system. (b) What happens to the center of mass as the 1.2 kg mass is gradually increased?
Calculate the increase in velocity (in m/s) of a 4810 kg space probe that expels 3210 kg of its mass at an exhaust velocity of 4.00 ✕ 103 m/s. You may assume the gravitational force is negligible at the probe's location. The answer is 4400 m/s given by the homework website I tried using the conservation of momentum and the conservation of kinetic energy but did not get the right answer.
Find the x center of mass of the following masses at their respective coordinates: m1=2.5, x1=0.6,y1=-0.6 m2=3.5, x2=2.8,y2=3.8 m3=4.0, x3=-2.4,y3=-2.6 x_com=?
A new design of Saturn 18 rocket with mass 1.26 x106 kg has a propulsion engine that can eject gases at a constant speed of 397.5 m/s (vGas) by burning fuel at a rate of 2.15 x10 5 kg/s (dmdT). In full tank, the rocket can carry a fuel of mass 40.5 x10 6 kg. If this design exceeds the velocity of 11,200 m/s it can can successfully escape Earth's gravity. Determine if this is so. Find its maximum velocity (velyZ). (Pitch Angle = 0)
Find the center of mass of a 120-cm long rod, made of 60 cm of iron (density 8.5 g/cm3) and 60 cm of aluminum (density 2.9 g/cm3). Express the location of the center of mass as measured from the left of the rod, assuming that the iron part of the rod is on the left and the aluminum part is on the right.
Find the mass and center of mass of the lamina that occupies the region D and has the given density function p: D is the triangular region with vertices (0,0), (2, 1), (0,3); p(x, y) = x +y
11.
How do you find the the center of mass of a lamina whose density is given by p(x, y) on a region R?? Here m is the mass, M, is the moment in the x- axis and My is the moment in the y- axis М, М, Center of mass is located at т m The coordinates of the center are (M2, My) Find the moment M, and divide by the mass m The center of mass is located in the center of the universe. Find the moment M, and divide by moment My о ООО
Problem 14: Suppose a space probe of mass m1 4200 kg expels m, = 3300 kg of its mass at a constant rate with an exhaust speed of Vex = 2.15 x 10° m/s. art (a) What is the increase in speed, of the space probe, in terms of the variables given in the introduction? You may assume the g is negligible at the probe's location. Gra Dec Pote m1 m1 - m2 Av = Vex In Av = ver In + vo Av = ver In + vo mị – m2 m1 m2 Sub Atte (20 mi m2 m2 m1 deta Δυ Av = Ver In Av = Vex Vez In Au = Ver In mi m1 m1 - m2 Submit Hint Feedback I give up! Part (b) Calculate the increase in speed, in meters per second, of the space probe.
Consider as a system the Sun with Mars in a circular orbit around it. Find the magnitude of the change in the velocity of the Sun relative to the center of mass of the system during the time Mars completes half an orbit. Assume the mass of the Sun is 5.68 x 1029 kg, the mass of Mars is 6.42 x 1023 kg, its period is 5.94 x 107 s, and the radius of its orbit is 2.28 x 10¹¹ m. Ignore the influence of other celestial objects. 19.4 x m/s