A mass ?m is suspended from a massless spring of natural length 90 cm with the spring constant ?=10k=10 Nm-1 and causes the spring to extend by 9.5 cm.  Assuming the gravitational field strength ?=9.8g=9.8 ms-2, calculate the value of the mass on the spring. Give your answer in SI units

The ratio of the gravitational field at an altitude 2 RF above the Earth's surface (R = the radius of the Earth) to the field at the Earth's surface is 1/9 1/3 9

Ex. 13 : The mean radius of earth is 6400 km. The acceleration due to gravity at its surface is 9.8 m/s?. Estimate the mass of earth.

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... +

1. What is the gravitational potential energy in a system of three objects with masses m₁ = 2.0 × 1020 kg, m2 = 4.0 × 1020 kg, and m3 1.0 × 1021 located at r₁ = 2.0 × 10¹3 m 1.0 × 106 m -1.3 × 10¹2 m 1 respectively? 9 r2 = -6.0 × 10¹3 m 2.2 × 10¹² m –5.7 × 10³ m {] 9 T3 = = 1.5 × 10¹1 m −6.5 × 10² m 9.2 × 10¹0 m

a) Find the surface gravity and escape velocity of a planet with a mass of (6.7× 1023 kg) and a radius of (2.9 × 106 m).b) What is the local acceleration due to gravity of a planet on which a pendulum of length (0.4 m) undergoes (5 oscillations) in (13 s)?c) If the planet from part (b) has a radius of (R = 5 × 106 m), what is the mass of the planet?

What is the magnitude if gravitational force each exerts on the other if the distance between a 40kg person and a 30kg persob is 2m?

A solid uniform sphere has a mass of 4.00 x 10* kg and a radius of 1.5 m. (Use the following as necessary: r and m. Assume SI units. Do not enter units in your ansWers.) (a) What is the magnitude of the gravitational force due to the sphere on a particle of mass m located at a distance of 1.6 m from the center of the sphere? F = N. (b) What if it is 1.4 m from the center of the sphere? F = N. (c) Write a general expression for the magnitude of the gravitational force on the particle at a distancer 1.5 m from the center of the sphere. F = Additional Materials eBook Powers of Ten

A mass mm is suspended from a massless spring of natural length 90 cm with the spring constant k=10 Nm-1 and causes the spring to extend by 8.6 cm.  Assuming the gravitational field strength g=9.8g, calculate the value of the mass on the spring.

After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 46.0 cm. The explorer finds that the pendulum completes 98.0 full swing cycles in a time of 145 s. What is the magnitude of the gravitational acceleration on this planet? Express your answer in meters per second per secondgPlanet=(?)m/s^2