(a) Calculate Earth’s mass given the acceleration due to gravity at the North Pole 9.830 m/s is and the radius of the Earth is 6371 km from center to pole. (b) Compare this with the accepted value of 5.979X10 kg.

Q: Assuming the earth to be a sphere of uniform mass density, how much would a body weigh half way down…

A: The acceleration due to gravity at depth inside the earth surface is given by the relation,

Q: 1.1 A thin uniform disk of radius a, mass m and A mass per unit length. Find the grav ring exerts on…

A: Given:- A thin uniform disk of radius a, mass m and ) mass per unit length. thering exerts on a…

Q: If the radius of curvature of the bump is 52 m, find the apparent weight of a 66-kg person in your…

A: Given data :                 Speed of the car, v = 22 m/s                Radius of curvature of the…

Q: A satellite of Mars, called Phoebus, has an orbital radius of 9.4 x 106 m and a period of 2.8 x 104…

A: The relationship for the period of the satellite is given by,

Q: The radius of the Earth is about 6,000 km.  My weight on the surface of the Earth is 950 N. At…

A:

Q: A satellite is in a circular low Earth orbit at an altitude of  390 km  above the equator's surface.…

A:

Q: The earth exerts a gravitational force of F(r) = Aat (in Newtons) on an object with a mass of 75 kg,…

A: Explanation : In the given problem we have to find out the we have to find the rate of change of…

Q: Assuming the earth to be an oblate spheroid, so that the distance from the center to the equator is…

A:

Q: A satellite of Mars, called Phobos, has an orbital radius of 9.4 x 10° m and a period of 2.8 x 10“…

A: The satellite has an orbital radius of, r= 9.4 × 106 m and a period of T=2.8 x 104 s. It is required…

Q: The radius of the Earth is about 6,000 km.  My weight on the surface of the Earth is 950 N.  At…

A:

Q: An 80 kg man standing on a planet experiences a weight of 600 N. The radius of the planet is 5.4 x…

A:

Q: A hypothetical planet has a mass of one-half that of the earth and a radius of twice that of the…

A: The mass of the hypothetical planet, m' = 12m, where m is the mass of the Earth. The mass of the…

Q: At a given point 8 x 10^6m above from the center of the Earthof calculate the gravitational…

A:

Q: The planet Venus has a diameter of 7700 mi and amass of 3.34(1023 ) slug. Determine the…

A: The mass of the Venus,   The diameter of the Venus,   The radius of the Venus,

Q: Suppose the surface (radius = r) of a cylindrical space station is rotating at 22.4 m/s to provide…

A:

Q: at what height above the Earth's surface would your weight be 12% yor weight on the surface? use…

A: The gravitational acceleration at height h above the Earth's surface  is given by, g'= g(1+hR)2

Q: A satellite of mass m = 3.94e + 3 kg is in circular orbit around the Earth, and the radius of this…

A:

Q: Explain why the acceleration due to gravity by the outer shell of the earth is zero when deriving an…

A: Acceleration due to gravity decreases when we go above or below  surface of earth .     Let a…

Q: Assuming the earth to be a sphere of uniform mass density, how much would a body weight half way…

A:

Q: An astronaut of mass 60 kg is walking on the surface of a new planet. If their weight (in N) is…

A: Given the weight of the astronaut on the other planet is twice the weight on planet earth. Weight =…

Q: straight ahead, and find yourself returning to your spacecraft from the opposite side after…

A: Given:-  your spacecraft from the opposite side after completing a lap of  S = 25.1 km  You hold a…

Q: A satellite is in a circular low Earth orbit at an altitude of 356 km above the equator's surface.…

A:

Q: Would the force from the earth increase or decrease if the mass was kept constant but the radius of…

A: we know gravitational force of earth is 9.8 m/s2  g=GMR2= 9.8 m/s2     here , G= 6.67 *10-11 N m2…

Q: he earth’s mass is 5.972x1024 kgs and the earth’s radius is 6371 kms, determine the altitude of a…

A: Given: M=5.972*1024 kgR=6371 km = 6.371*106 mgh=9.7 m/s2

Q: What radius must the sphere have so that the acceleration due to gravity at the Earth's new surface…

A: We know acceleration due to gravity at the surface of a plane is  g = (GM/R2 ) 1/2 . where M = mass…

Q: How long would a day be if the Earth were rotating so fastthat objects at the equator were…

A:

Q: The equatorial radius of the Earth is 6378 km and gravity at the equator is 9.780 m s-2. Compute the…

A:

Q: Suppose all the mass of the Earth were compacted into asmall spherical ball. What radius must the…

A: Gravity on moon is equal to the one sixth of gravity on earth. g' = g / 6 where, g' is the gravity…

Q: A certain satellite travels in an approximately circular orbit of radius 1.0 × 106 m with a period…

A: Given data The radius is given as R = 1 x 106 m. The time period is given as T = 7 h 31 min.

Q: The small sphere has a mass (m1) of 0.025kg, a second sphere is 0.460 kg, and the center to center…

A:

Q: A satellite with mass 850 kg is placed in its orbit with the orbital radius of 4.5 x 107 m from the…

A: Gravitational Potential Energy is negative at the surface of Earth, because work is completed by the…

Q: A man whose weight is 800 N on the Earth's surface is also in a spacecraft at a height of one…

A:

Q: A space squid is located 100 km above the surface of the Earth. If the space squid has a mass of 200…

A:

Q: How will you ‘weigh the sun’, that is estimate its mass? The mean orbital radius of the earth around…

A: Write the expression to obtain the mass of the Sun.

Q: Assuming the earth to be a sphere of uniform mass density, how much would a body weigh half way down…

A:

Q: A satellite of Mars, called Phobos, has an orbital radius of 9.4 x 10° m and a period of 2.8 x 10 s.…

A:

Q: Assuming that the Earth has a uniform density, ρ=5540.0⁢ kg/m3, what is the value of the…

A:

Q: If the Earth shrank to one-half its present radius, but kept its mass constant, what effect would…

A: Acceleration due to gravity on earths surface, g0=GMR2

Q: The gravitational constant G was first measured accurately by Henry Cavendish in 1798. He used an…

A:

Q: If the Earth were hollow , but still had the same mass and radius, would your weight be different?

A: The weight of a person earth is given by the equation:

Q: A space station, in the form of a wheel 128 m in diameter, rotates to provide an "artificial…

A:

Q: there is weight of 540 when it's standing on surface of the earth. what would the weight be…

A: Given data The initial weight is W1=540 N The weight is actually the gravitational force between…

Q: If the radius of earth were to shrink by one percent, its mass remaining the same, the acceleration…

A:

Q: 21) The force on a Ikg mass on the earth's surface is 10N. If the radius of the earth is 6400km, the…

A:

Q: Calculate Earth's mass given the acceleration due to gravity at the North Pole is 9.830 m/s? and the…

A:

Q: Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun…

A:

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.