Calculate the values of g at Earth’s surface for the following changes in Earth’s properties: (a) its mass is doubled and its radius is halved; (b) its mass density is doubled and its radius is unchanged; (c) its mass density is halved and its mass is unchanged.

Q: A spherical planet has an outer radius R; its density p varies as a function of distance r given by…

A: Given data: The density function is, ρr=3-2r2R2.

Q: A rocket lifts off the pad at Cape Canaveral. According to Newton's Law of Gravitation, the force of…

A: when a body having mass m rises above the earth a gravity force acts against it. so work is done…

Q: I am on a mysterious planet that has a mass 4 times that of Earth and measure the force on a 1 kg…

A: Write the expression for the force on the object exerted by Earth. Fe=GMemRe2

Q: The weight w of an object varied inversely as the square of the distance d between the object and…

A: Given: W1= 90 kg r1= 6400 km W2= weight of the man at 400 km r2= 400 km

Q: Planet A has a mass of mA = 1.50 × 1024 kg and planet B has a mass of mB = 2.40 × 1023 kg. The…

A: The force of gravity between any two masses is given by the equation F=Gm1m2r2G is the universal…

Q: The gravitational acceleration on the surface of earth of radius (R) mean density (p) is (а) (4л /…

A: We need to find-Gravitational acceleration (g)=?Given-radius of earth=RMean density=ρ

Q: Assume that planet A has radius RA and mass MA, and planet B has radius Rg and mass Mg. Let gA and…

A: radius of planet A=RAmass of planet A=MAradius of planet B=RBmass of planet B=MB

Q: àcčélérâtións due to gravity at their surfaces, respectively. If MA = Mg, and RA = 2Rg The ratio…

A: The values provided in the question are as follows- Mass of planet A  = ma Mass of planet B  = mb…

Q: The mean diameters of planets A and B are 9.8 x 103 km and 2.6 × 104 km, respectively. The ratio of…

A: diameter of A = 9800 km diameter of B = 26000 km mass of Amass of B = mAmB = 0.93

Q: The center of a moon of mass m is a distance D from the center of a planet of mass M. At some…

A:

Q: A thin, circular ring B (mass m, radius r) is placed in the gravitational field of a particle P…

A:

Q: Scientists have discovered a distant planet with a mass of 7.8x1023 kg. The planet has a small moon…

A: Mass of planet=7.8×1023kg Time of orbit= 7h25m=420+25=445 minutes   Objective- To find radius of…

Q: Consider two planets, each with mass 9 x 1024 kg.  The first planet is located at coordinates (6 x…

A:

Q: Scientists want to place a 3 x 10³ kg satellite in orbit around Mars. They plan to have the…

A:

Q: You have been assigned to a team charged with developing a plan to explore a new planetary body…

A: Given g=2.8 m/s2 specific gravity of oil=0.93 weight of oil=4 lbf

Q: the weight, w, of an object varies inversely as the square of the distance, d, between the object…

A:

Q: The rings of the planet Saturn consist of particles of rock and ice which orbit the planet. The mass…

A: We need to calculate the gravitational attraction force between the Saturn and the orbiting…

Q: Scientists have discovered a distant planet with a mass of 8.4x1023 kg. The planet has a small moon…

A: The period of the satellite in seconds is, T=5×3600 s+13×60 s=18780 s The equation for the period of…

Q: A 100 kg person and a 75 kg person are sitting on a bench. Estimate the magnitude of the…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: You are working at a summer internship for NASA, working to study exoplanets (planets we have…

A:

Q: The mass of a planet is about 71% of the mass of Jupiter with the same radius. What is the…

A:

Q: The asteroid 243 Ida has a mass of about 4.0×1016kg4.0×1016kg and an average radius of about 16 kmkm…

A:

Q: A certain spherical planet is made up of two types of material: in the inner core (from the center…

A: Given: Density of inner core is ρ1 Density of outer core (ρ2)is ρ12 Radius of the inner core is 2R…

Q: The acceleration due to gravity on the surface of a planet is seven times as large as it is on the…

A:

Q: A planet has a mass of M1, a radius of R1, and a density of ρ1. A second planet has a mass of M2, a…

A:

Q: Scientists have discovered a distant planet with a mass of 6.0x1023 kg. The planet has a small moon…

A: Mass of the planet, M = 6 X 1023 kg Time period of moon of planet, T = 5 hours 40 minutes = 340…

Q: Assume that planet A has radius RA and mass MA, and planet B has radius Rg and mass Mg. Let ga and…

A: radius of planet A=RAmass of planet A=MAradius of planet B=RBmass of planet B=MB

Q: NASA is expected to send a 2600-kg satellite 450 km above the earth’s surface. (a) What is its…

A: The radius of the orbit is the sum of the radius of earth and the height of the satellite. r = R + h…

Q: Calculate the magnitude of the gravitational attråct between the particle and Neptune to three…

A: Gravitational force between two masses  F = Gm₁m₂/r²

Q: Two planets have density in the ratio 2:3 and madii in the ratio 1:2 Then the ratio of acceleration…

A: To find-g1g2=?Given-ρ1ρ2=23, r1r2=12

Q: Find the average and

A: from the given conditions  we find average deviation-

Q: . A mountain 10.0 km from a person exerts a gravitational force on him equal to 2.00% of his weight.…

A: From given data we will be able to find the mass of mountain  , which us comparable to mass of earth…

Q: Assume the Earth is a uniform sphere with constant density. Let R represent the radius of the Earth…

A:

Q: a) If you dropped an object from a height of 1.5 m above the surface of Phobos, how long would it…

A: Newton's Universal Law of Gravitation According to Newton's Law of gravitation, the gravitational…

Q: NOTE: Your answer suggests that you have assumed constant gravitational

A: Explained as, F=-GMMR+y2

Q: A spherical planet has an outer radius R; its density p varies as a function of distance r from the…

A:

Q: If you could be transported to another planet whose Mass was the same as the Earth, but whose radius…

A: Answer : The correct option is B. Mass would remain the same, Weight would decrease by a factor of…

Q: Newton's theory of gravity, together with the Cavendish experiment to measure the value of Newton's…

A: mass = M = 1.989 X 1030 Kg radius = R = 6.96 X 108 m

Q: An object with a mass of 27 kg is standing on a planet and experiences a weight of 273 N. If the…

A: The force on the person standing on the planet is given by, F=GMmR2where,G=gravitational constant…

Q: On the surface of a planet, you step on a bathroom scale and observe a reading of 180 N. You then…

A: At a depth h below the surface of the earth, the value of ‘g’ can be written as

Q: Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the…

A: The expression for the radius from the escape velocity relation is: r=2Gmmarsv2 Here, v is the speed…

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.