Q. 39: A satellite of mass (m) revolves around the earth of radius (R) at a height (h) from its surface. If (g) is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is: gR (b) R-h (a) gh gR? (c) R+h 1/2 gR? (d) R+h,
Q: Two planets P₁ and P₂ orbit around a star S in circular orbits with speeds v₁ = 43.2 km/s, and v₂ =…
A: The motion of Earth and the other bodies around the sun is called orbital motion. Orbital motion…
Q: L. St In B Scientists want to place a 4100 kg satellite in orbit around Mars. They plan to have the…
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Q: While standing on the surface of a spherical asteriod of mass M and radius R., and astronaut thows a…
A: Mass of asteroid=MRadius=RMaximum height=h
Q: The code Orbit (Appendix J) can be used to generate orbital positions, given the mass of the central…
A: Required : Plots of the orbits.
Q: A geosynchronous satellite moves in a circular orbit around the Earth and completes one circle in…
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Q: A projectile of mass m is launched from the surface of the earth at an angle α with the vertical. If…
A: When two-dimensional motion of an object gives an initial velocity and is projected into the air at…
Q: Scientists want to place a 4100 kg satellite in orbit around Mars. They plan to have the satellite…
A: If a particle moves in a circle of radius r with velocity v, the acceleration is given by v2r…
Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…
A: Assume the mass of the Sun as M=1.989×1030 kg Assume the mass of the comet is denoted by mc. The…
Q: Consider a rocket of mass m directly heading upwards, out to space. What is the escape velocity vo…
A: According to Energy conservation law, Initial Total Energy of the Rocket is equal to final total…
Q: A satellite will travel indefinitely in a circular orbit around the earth if the normal component of…
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Q: Two artificial satellites I and II have circular orbits of radii R and 2R, respectively, about the…
A: Given Data The radius of the circular orbit is R1 = R. The radius of the circular orbit is R2 = 2R.…
Q: This is a proportional reasoning calculation. You will want to set up equations, but mostly to look…
A: Given Data: At the surface of the exoplanet orbital velocity, v = 1.21 x 104 m/sec Radius of the…
Q: (a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an…
A: (a) In particular, we're using the principle of conservation of mechanical energy, which states that…
Q: Assume the Earth is a uniform sphere with constant density. Let R represent the radius of the Earth…
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Q: In a shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg,…
A: Given: mass of shuttle craft m = 4500 kg Mass of planet M = 9.70*1025 kg radius of circular orbit r…
Q: (a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an…
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Q: NOTE: Your answer suggests that you have assumed constant gravitational
A: Explained as, F=-GMMR+y2
Q: A rocket is fired straight up, and it burns out at an altitude of 250 km when traveling at 6.00 km/s…
A: Given Data R = 6.37×106M = 5.98×1024G = 6.67×10-11N.m2kg2
Q: Two planets P, and P, orbit around a star S in circular orbits with speeds v1 = 45.0 km/s, and v2 =…
A: (a) Compare the gravitational force and centripetal force. FC=FGmpv2R=GmpmsR2v2=GmsR The speed due…
Q: Fractional change in g. For a uniform, sphe surface and at elevation h, respectively. W of the…
A: GivenFor a uniform, spherical, non rotating planet with radius Rs = 4.66 x 103 km, let gs, and gh be…
Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…
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Q: In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core…
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Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…
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- Two planets P, and P, orbit around a star S in circular orbits with speeds v, = 44.4 km/s, and v, = 59.6 km/s respectively. (a) If the period of the first planet P, is 7.80 years, what is the mass of the star it orbits around? kg (b) Determine the orbital period of P,. yrOne model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M = 4.07 × 1024 kg and R = 5.79 x 106 m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet? (a) Number i Units (b) Number i UnitsA comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.9 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.3 × 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 10¹2 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed= i ! m/s
- On the ground level, the weight of a satellite is W N. The satellite is launched and stays in an orbit that is R/47 above the ground level, where R is radius of the Earth. If the gravitational force on the satellite is xW at this location, determine x.You are a visitor aboard the New International Space Station, which is in a circular orbit around the Earth with an orbital speed of ?o=2.45 km/s�o=2.45 km/s . The station is equipped with a high velocity projectile launcher, which can be used to launch small projectiles in various directions at high speeds. Most of the time, the projectiles either enter new orbits around the Earth or eventually fall down and hit the Earth. However, as you know from your physics courses at the Academy, projectiles launched with a sufficiently great initial speed can travel away from the Earth indefinitely, always slowing down but never falling back to Earth. With what minimum total speed, relative to the Earth, would projectiles need to be launched from the station in order to "escape" in this way? For reference, recall that the radius of the Earth is ?E=6370000 m�E=6370000 m, the mass of the Earth is ?E=5.98×1024 kg�E=5.98×1024 kg , the acceleration due to gravity on the surface of the Earth is ?=9.81…Chapter 37, Problem 012 The length of a spaceship is measured to be exactly 1/2 its rest length. (a) What is the speed parameter ß of the spaceship relative to the observer's frame? (b) By what integer factor do the spaceship's clocks run slow, compared to clocks in the observer's frame? (a) Number Units (b) Number Units
- Aliens declare war on Earth by dropping an asteroid on our planet. The asteroid starts at rest from a distance of 37 x 106 m from the center of Earth. Calculate the speed with which the asteroid hits Earth's surface, in km/s. Use that G = 6.7 x 10-11 N m2 / kg2, MEarth = 6 x 1024 kg, and REarth = 6 x 106 m. (Please answer to the fourth decimal place - i.e 14.3225)Two satellites s, and S, orbit around a planet P in circular orbits of radii r, of the second satellite, S, in m/s? = 5.30 x 106 m, and r, = 8.65 x 106 m respectively. If the speed of the first satellite S, is 1.55 x 104 m/s, what is the speed m/sAt the surface of planet X, a 1 kg object weighs 4 N (planet radius R=106m). A space probe passes by planet X with the nearest point (A) at 8R from the center. When the probe was very far away it had a speed of sqrt(2gxR), where gx is the acceleration of gravity at the planet surface. Find a value for the speed of this probe when it is at point A, vA.