1. Consider a mass m initially at rest at a large distance I from center of the earth (l>Rthe 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 ofthe earth.(b) In the approximation that l>>R, how much time does it take for the mass m toreach the earth?Express your answers in terms of R, 1, g (acceleration at the earth's surface) and(for part a) x.

Given data, Mass of the particle = m Initial height of the particle from the center of the earth = l…

Answered: 1. Consider a mass m initially at rest…

Similar questions

Uranium-238 decays via the alpha decay process. Part (a) Calculate the energy released in units of megaelectron volts when a uranium-238 nucleus undergoes alpha decay. Part (b) What fraction of the mass of a single uranium-238 nucleus is destroyed in the decay? Part (c) Why is difficult to observe the change in mass for a macroscopic sample of uranium-238?
C Chegg X C Sign In https://bconline.broward.edu/d21/lms/quizzing/user/attempt/quiz_start_frame_auto.d2l?ou=514283&is... A Q If a projectile mass of 1.0 kg moving at 19.0 m/s collides with a motionless target mass of 15.0 kg perfectly inelastically what is the total kinetic energy of the projectile and target after the collision? X 1 OneLoc X Quizzes X Q instagra X Your Answer: Use standard MKS unit abbreviations. Instagra X Answer units (75,834 X C Reset P. X X New ta X + {}
You are the pilot of a spacecraft intended for travel at very high speeds. Before leaving you measure the spacecraft to be 31.4 m long and have a mass of 5.28 x 104 kg. During your travel, you pass a planet and exchange information with an observer on the planet. You are told that your spacecraft has been measured to be 28.6 m long. a. How fast is your spacecraft travelling with respect to the planet? b. You are told there is a nearby planet that is stationary with respect to the first planet. The observer on the first planet says it will take you 25 s to reach the nearby planet. How far away does your co-pilot on the spacecraft say the nearby planet is? c. How much energy was required to accelerate your spacecraft to this speed?
Let's say we have a M1 and M2. Let's just say. Let's examine this hypothetical situation. The first mass would be 1.50 kg and the second mass would be 2.00 kg. These two masses would then be separated by a length or we should say a distance of this L = 2.50 m. Let's say we want to place a third mass (immaterial mass) in the middle of the two masses, such that there would be no net force. Find this specific place where this would occur, and to make it easy, find the distance from the first mass towards this third mass
Two manned satellites approaching one another, at a relative speed of 0.200 m/s, intending to dock. The first has a mass of 5.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. a. Calculate the final velocity (after docking) in m/s by using the frame of reference in which the first satellite was originally at rest. (Assume the second satellite moves in the positive direction. Include the sign of the value in your answer.) m/s b. What is the loss of kinetic energy (in J) in this inelastic collision? J c. Repeat both parts by using the frame of reference in which the second satellite was originally at rest. final velocity (m/s) m/sloss of kinetic energy (J) J Explain why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both.
5) Two neutron stars are separated by a distance of 2.98x10^(10)m. Both have a mass of 3.17x10^(30)kg and a radius of 253000m. They are initially at relative rest. a) What is the speed of both when the distance between them is half the initial value? in m/s b) What is the speed of both when they are about to collide? in m/s
+ Algebraic manipulation. Two automobiles traveling at right angles to each other collide and stick together. Skid marks show the wreckage was traveling 21° from the original direction of car A. Find the original speed of car B in terms of car A's original speed (VA) if their masses are related by ßmд where ß =1.9. Fill in the missing factor below. MB UB VA Record your numerical answer below assuming three significant figures. Remember to include a "-" when necessary. HOLDe
A binary-star system contains a visible star and a black hole moving around their center of mass in circular orbits with radii r1 and r2 , respectively. The visible star has an orbital speed of v=5.36x105 ms-1 and a mass of m1 =5Ms ,where Ms= 1.98x1030kg is the mass of our Sun. Moreover, the orbital period of the visible star is T = 30 hours.(a) What is the radius r1 of the orbit of the visible star?(b) Calculate the mass m2 of the black hole in terms of MS . [Hint: One root of the equation x3 = 20a(5a+x)2 , where a is a constant, is x = 28a .]
Two manned satellites are approaching one another at a relative speed of 0.235 m/s, intending to dock. The first has a mass of 3.95 × 103 kg, and the second a mass of 10.8 × 103 kg. a)Calculate the final velocity, in meters per second, of the two satellites after docking, in the frame of reference in which the first satellite is initially at rest. Take the initial velocity of the second satellite to be in the positive direction. b)What is the change in kinetic energy, in joules, in this inelastic collision? c) Calculate the final velocity of the satellites, in meters per second, in the frame of reference in which the second satellite is initially at rest. Take the initial velocity of the first satellite to be in the negative direction. d)What is the change in kinetic energy, in joules, in this frame of reference.
4. A rocket accelerates by burning its onboard fuel, so that its mass decreases with time.Suppose that the initial mass of the rocket at liftoff (including its fuel) is m, the fuel isconsumed at rate r, and the exhaust gases are ejected with constant velocity ν (relativeto the rocket). A model for the velocity of the rocket at time t is given by the equationv(t) = −ν ln(1 −Rt) −gt,where g is the acceleration due to gravity, R = r/m, and t is not too large.(a) Find an expression for the acceleration, a(t) = v′(t), of the rocket at any time t.(b) Find an expression for the position of the height, h(t), of the rocket at any timet. You can assume that at t = 0, the rocket hasn’t left the ground. Hint: re-member that ν,R,g are all constants and t is the independent variable.Write out your steps carefully!(c) Let g = 9.8 m/s2, R = 0.005 s−1. What does the velocity of the exhaust gases,ν, need to be for the rocket to reach a height of 6000 m one minute after liftoff?You can round to the…
After consuming all of its nuclear fuel, a massive star can collapse to form a black hole, which is an immensely dense object whose escape speed is greater than the speed of light. Newton's law of universal gravitation still describes the froce that a black hole exerts on objects outside it. A spacecraft in the shape of a long cylinder has a length of 100m, and its mass with occupants is 1000kg. It has strayed too close to a black hole having a mass 100 times that of the sun. If the nose of the spacecraft points toward the center of the black hole, and if the distance between the nose of the spacecraft and the black hole's center is 10km (a) determine the total force on the spacecraft. (b) What is the difference in the force per kilogram of mass felt by the occupants in the nose of the ship versus those in the rear of the ship farthest from the black hole?
Asteroid: An asteroid of mass 326 kg orbits the sun in a long-period orbit of 125 years. It is currently at its furthest distance from the sun: 7.46 x 10+12 m. It is moving at 284 m/s. When the asteroid makes its closest approach to the sun – in another 62 years – it will pass within 1.68 x 10+10 m of the sun. How fast will it be going?