Would the investigator be able to survive visiting even 876 km from the center? Answer this by finding the difference in the gravitational attraction (in N) the black hole exerts on a 1.0 kg mass at the head and at the feet of the investigator.
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If the Sun were to collapse into a black hole, the point of no return for an investigator would be approximately 3 km from the center singularity. Would the investigator be able to survive visiting even 876 km from the center? Answer this by finding the difference in the gravitational attraction (in N) the black hole exerts on a 1.0 kg mass at the head and at the feet of the investigator. (Assume the investigator is about 2 m tall and is oriented radially with respect to the black hole. Enter the magnitude.)
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- Please answer fast Three uniform spheres of masses m1 = 2.50 kg, m2 = 4.00 kg, and m3 = 6.50 kg are placed at the corners of a right triangle (see figure below). Calculate the magnitude of the resultant gravitational force (in 10-11 N) on the object of mass m2, assuming the spheres are isolated from the rest of the Universe.(a) What is the escape speed on a spherical asteroid whose radius is 274 km and whose gravitational acceleration at the surface is 0.444 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 311 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 289.4 km above the surface?As a star ages, it is believed to undergo a variety of changes. One of the last phases of a star's life is to gravitationally collapse into a black hole. If suppose our Sun would end up a Black hole, what will happen to the orbit of the planets of the solar system? (Assuming that the planets are not affected by the evolving stages of the Sun prior to becoming a black hole and noting that for calculation of gravitational force of attraction, the distance being considered is from center to center of the two bodies). Justify your answer.
- (a) Evaluate the gravitational potential energy (in J) between two 6.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.20 cm. m/s10The mass of the Hubble spacecraft is 1.11 x 10ʻkg. Determine the weight of the spacecraft at the orbital altitude, which is 560km above the Earth's surface. The mass of the Earth is 5.972 x 1024kg and the radius of the Earth is 6370 km.
- (a) Evaluate the gravitational potential energy (in J) between two 4.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.50 cm. m/sHunting a black hole. Observations of the light from a certain star indicate that it is part of a binary (two-star) system. This visible star has moves in a circle of radius r1 and has orbital period T. Variations in the brightness of nearby stars suggest that the unseen companion moves in a circle of radius r2 (see the figure). Find the approximate masses (a) m1 of the visible star and (b) m2 of the dark star. Express your answer in terms of r1, r2, T, and G. I asked this question before and recieved an incorrect answer, so I'm asking again.(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.96 x 10“ m/s relative to the Sun. What would its speed be when it is very far from the Earth (in m/s)? Ignore atmospheric friction, the effects of other planets, and the rotation of the Earth. (Consider the mass of the Sun in your calculations.) 354790 Your response differs from the correct answer by more than 100%. m/s (b) What If? The speed provided in part (a) is very difficult to achieve technologically. Often, Jupiter is used as a "gravitational slingshot" to increase the speed of a probe to the escape speed from the solar system, which is 1.85 x 10“ m/s from a point on Jupiter's orbit around the Sun (if Jupiter is not nearby). If the probe is launched from the Earth's surface at a speed of 4.10 × 10“ m/s relative to the Sun, what is the increase in speed needed from the gravitational slingshot at Jupiter for the space probe to escape the solar system (in m/s)? (Assume…
- Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is V = 240 km/s and the orbital period of each is 12.1 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) solar masses XCM MA narrow hole is drilled through the centre of a uniform sphere of mass M and radius a. Find the gravitational force exerted on a particle of mass m which is inside the hole at a distance r from the centre.Suppose you are in a circular orbit above the moon Rhea with a radius of 824.7 km, and you have 154.4 m/s of delta V. Suppose you put all your delta V to go into an elliptical orbit, what is the semi-major axis of this elliptical orbit assuming the mass of Rhea is 2.3065 ×1021 kg and you can ignore the gravitational effects of Saturn?