A mass m is suspended from a massless spring of natural length 90 cm with the spring constant k = 10 Nm1 and causes the spring to extend by 9.1 cm. Assuming the gravitational field strength g = 9.8 ms?, calculate the value of the mass on the spring. Give your answer in SI units.

Planet X has four times the diameter and five times the mass of earth. What is the ratio gx:ge of gravitational acceleration at the surface of Planet X to the gravitational acceleration at the surface of the earth? Please put the ratio on decimal form not on fraction form.

A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.01 x 10* m/s. The mass of the planet is M = 6.02 x 1024 kg. The mass of the satellite is m= 3.2 × 103 kg. Enter an expression for the kinetic energy KE of the satellite in terms of m and v. Calculate the value of KE in joules. Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G. Enter an expression for the centripetal acceleration of the satellite a, in terms of the speed of the satellite, v, and R. Enter an expression for the radius R in terms of G, M and v. Calculate the value of R in meters. Enter an expression for the gravitational potential energy PE in terms of G, M, m, and R. Calculate the value of PE in joules. Enter an expression for the total energy E of the satellite in terms of m and v. Calculate the value of the total energy E in joules.

What is the gravitational field intensity at a distance of 8.4 x 107 m from the centre of Earth?

Three different objects, all with different masses are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of the object is a multiple of the base mass: m: object one had mass 3.10m, object 2 has mass 1.46m, and object 3 has mass m. Object 3 is on step one, object 2 is on step two, and object one is on step 3. define the total gravitational energy of the three object system to be zero when the objects are at the bottom of the steps. Each answer requires the numerical coefficient to an algebraic expression that uses some combination of variables m, g, and d, where g is the acceleration due to gravity. find a new reference height (measured from the base of the stairs) such that the highest two objects have the exact same gravitational potential energy?

One of your summer lunar space camp activities is to launch a 1090 kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 227 km. What gain in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36×10^22 kg and 1740 km, respectively.

An earth-like planet with a mass of 8.00×1024 kg has a space station of mass 4.70×104 kg orbiting it at a distance of 3.00×105 km. What is the gravitational potential energy between the space station and the planet? (We can simplify the Gravitational Constant G to 6.7x10-11 Nm2/kg) J

You encounter a strange cosmic string in outer space.  The string extends along the x axis from x = 0 m to x = 4.6 x 104 m.  You are located at x = -5.4 x 104 m.  You experience a gravitational field equal to 9.6 x 10-6 N/kg at this location.  Assuming the string has a constant linear mass density, calculate this linear mass density, in units of 105kg/m.  Use G = 6.7 x 10-11 N m2/ kg2. (Please answer to the fourth decimal place - i.e 14.3225)

A mass m is suspended from a massless spring of natural length 90 cm with the spring constant k = 10 Nm and causes the spring to extend by 7.9 cm. Assuming the gravitational field strength g = 9.8 ms², calculate the value of the mass on the spring. Give your answer in Sl units. Answer: Choose... +

One of your summer lunar space camp activities is to launch a 1210-kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 229 km. What gain in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36 × 1022 kg and 1740 km, respectively.