The figure below shows the trajectory of a particle of mass m bound to an object of mass M by the Newtonian gravitational force. M mg T X m Which of the following magnitudes of net force are applicable to the mass m at the INSTANTANEOUS location shown? mv²/r Mv²/r Mg GMm/r² V

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A meteoroid is moving towards a planet. It has mass m = 0.18×109 kg and speed v1 = 3.8×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.26×107 m. The mass of the planet is M = 10×1025 kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface.  b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R.  c)Calculate the value of v in meters per second.

Two identical stars with mass M orbit around their center of mass. Each orbit is circular and has radius R, so that the two stars are always on opposite sides of the circle. Part A Find the gravitational force of one star on the other. Express your answer in terms of G, M, R. Πν ΑΣφ ? F = Part B Find the orbital speed of each star. Express your answer in terms of G, M, R. να ΑΣΦ7 ? Part C

I-C.

1. Consider a mass m initially at rest at a large distance I from center of the earth (l>R the earth's radius). The mass m is released and falls toward the earth. (a) Calculate the speed of the mass as a function of its distance x from the center of the earth. (b) In the approximation that l>>R, how much time does it take for the mass m to reach the earth? Express your answers in terms of R, 1, g (acceleration at the earth's surface) and (for part a) x.

When the Moon is directly overhead at sunset, the force by Earth on the Moon, FEM, is essentially at 90° to the force by the Sun on the Moon, FSM, as shown below. FEM=1.98×10^20N and FSM=4.36×10^20N, all other forces on the Moon are negligible, and the mass of the Moon is 7.35×10^22kg. 1. Write an expression for the magnitude of the acceleration of the Moon.   2. What is the acceleration of the Moon in m/s^2?

Two stars interact with each other. Star 1 has a mass 2×10^30⁢⁢  kg, and Star 2 has a mass 1×10^30⁢⁢kg. At a certain instant ( t=0), Star 1 is at the origin with zero velocity, and Star 2 is at ⟨-1.50×10^11,0,0⟩ m with a velocity ⟨0,-3.50×10^4,0⟩ m/s. Later, at t=5×10^6 seconds, Star 1 has a velocity ⟨-1.19×104,-8.26×103,0⟩ m/s. Define the system as Star 1 and Star 2. It is an isolated system, far from other stars. What is the momentum of the system at t=0.

The class I'm taking is physics for scientists and engineers! I am completely stuck. Need help. I have attached the problem. Please view  both attachments before answering.  Please write step-by-step solution so I can fully understand.

In the figure below, a square of edge length s is formed by four spheres of masses, m1, m2, m3, and m4. What is the x component and the y component of the net gravitational force from them on a central sphere of mass m5. State your answers in terms of the given variables. ( Use any variable or symbol stated above along with the following as necessary: and G for the gravitational constant.)