Calculate the temperature of the black hole with the same mass as moon. (7.3 × 1022 kg)
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- Nothing can escape the event horizon of a black hole, not even light. You can think of the event horizon as being the distance from a black hole at which the escape speed is the speed of light, 3.00×10^8 m/s, making all escape impossible. What is the radius of the event horizon for a black hole with a mass 3.5 times the mass of the sun?A non-rotating black hole has an ‘edge’ at what’s called it’s Schwartzschildradius. For a black hole of mass M, the Schwartzschild radius isRSch = 2GM/(c^2) where G is the gravitational constant and c is the speed of light. Close to black holes, we really should use Einstein’s theory of gravity (General Relativity) instead of Newton’s, but Newton’s is still a good approximation.Using Newtonian Gravity, find the gravitational force on a mass m at theSchwartzschild radius of a black hole. (Your answer for this should look likeFgrav = an expression in terms of G, M, m, c and numbers.) Is the forcesmaller or larger for a more massive black hole?My dear hand written solution is not allowed.
- B4The acceleration of gravity near a black hole is so large that not even light can escape. Which two factors would increase the acceleration of gravity near a black hole? O A black hole with more mass and the same radius A black hole with a larger radius and the same mass A black hole with less mass and the same radius A black hole with a smaller radius and the same mass O O OThe Oort Cloud extends out to (possibly) one light-year from the sun. Objects in the Oort Cloud are still gravitationally bound to the sun. Suppose one such iceball orbits the sun in a circle. I'm going to alter some numbers, such as the mass of the sun and even G. The gravitational force is directed toward the sun and has the following magnitude: Calculate the force on the object if these are the numbers: G = 6.1*10-11 N*m2/kg2 M = 2.7*1030 kg m = 1.5*108 kg r = 19*1015 m Calculate your answer in microNewtons (10-6 N).
- need help with this questionBlack holes are difficult to observewith telescopes because they, bydefinition, don’t emit or reflect any light. They can be found by look-ing for other nearby objects orbit-ing them, however. Here is a dia-gram of a star in a circular orbit around a black hole. a. The period of the star’s orbit is 90 days, and its orbital radius around the black hole isobserved to be 3.6 : ×10^11 m. Find the orbital velocity of the star in units of m/s. (You need to convert 90 days to seconds, first). The circumference of a circle is 2πr. b. The mass of the star is known to be 4 × 10^30 kg. Find the centripetal acceleration of thestar and the strength of the gravitational force on the star. c. Find the mass of the black hole.Two objects, m1 and m2 are gravitationally attracted to one another. However, m1 is 500 times more massive than m2. Which mass experiences the greater gravitational attractive pull force? A) mass m1 experiences a greater attractive force from m2 B) mass m2 experiences a greater attractive force from m1 C) both masses experience equal but opposite attractive forces D) the problem statement does not provide enough information to be solved
- A 61 kg object experiences a gravitational field of size 2.9 N/kg. Calculate the gravitational force on the object. (Please answer to the fourth decimal place - i.e 14.3225)An astronomer is measuring the light emitted by a binary star system. One of the stars appears to be much more massive than the other. The astronomer notices that the smaller star orbits the larger one in a nearly circular orbit at fr = 845 ×10º| a distance of r = 845 x 106 km. Through careful observation, she measures the smaller star's orbital speed to be v 12.0 km/s. Using Keppler's Laws she calculates the mass of the larger star. What is it? Use G = 6.67 x 10-¹1 N-m²/kg². - M = 30 x1030 kg (± 0.05 × 10³0 kg)Astronomical Datat Mass (kg) 1.99 × 1030 7.35 × 1022 3.30 × 1023 4.87 X 1024 5.97 X 1024 6.42 × 1023 1.90 × 1027 5.68 X 1026 8.68 x 1025 1.02 × 1026 1.31 × 1022 Body Sun Moon Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto 8.43 x 10^24 N 2.07 x 10^10 N O 843 N Radius (m) 6.96 × 108 1.74 X 106 2.44 X 106 6.05 × 106 6.37 X 106 3.39 X 106 6.99 X 107 5.82 X 107 2.54 x 107 2.46 X 107 1.15 X 106 What is the weight of a 75 kg astronaut on the surface of Neptune? O 2.07 x 10^5 N Orbit radius (m) 3.84 × 108 5.79 × 1010 1.08 × 10¹1 1.50 × 10¹1 2.28 × 10¹1 7.78 x 10¹1 1.43 × 10¹2 2.87 × 10¹2 4.50 × 1012 5.91 X 1012 Orbital period 27.3 d 88.0 d 224.7 d 365.3 d 687.0 d 11.86 y 29.45 y 84.02 y 164.8 y 247.9 y