If an object is near the surface of the earth, the variation of its weight with distance from the center of the earth can often be neglected. The acceleration due to gravity at sea level is g = 9.81 m/s². The radius of the earth is 6370 km. The weight of an object at sea level is mg, where m is its mass. At what height above the earth does the weight of the object decrease to 0.985 mg? Express your final answer in 3 decimals and unit is km.

If an object is near the surface of the earth, the variation of its weight with distance from the center of the earth can often be neglected. The acceleration due to gravity at sea level is g = 9.81 m/s². The radius of the earth is 6370 km. The weight of an object at sea level is mg, where m is its mass. At what height above the earth does the weight of the object decrease to 0.985 mg? Express your final answer in 3 decimals and unit is km.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter10: Force And Force-related Variables In Engineering

Section: Chapter Questions

Problem 3P: An astronaut has a mass of 68 kg. What is the weight of the astronaut on Earth at sea level? What...

See similar textbooks

Similar questions

A mass of 3.9kg is projected with a speed of 4.7m/s up a plane inclined 38 degrees with the horizontal. If coefficient of kinetic friction is 0.27, determine the distance it will travel before it stops. Note: use 3 decimal places
Compute the moment of inertia of a circular cross section, 10 in. in diameter, about its centroidal axis.
The platform scale consists of a combination of third and first class levers so that the load on one lever becomes the effort that moves the next lever. Through this arrangement, a small weight can balance a massive object. If x = 450 mm, and the mass of the counterweight S is 2 kg, determine the mass of the load L required to maintain the balance.
The block weighing 1 kN is subjected to the forces as shown. Assuming the block starts at rest, calculate the distance it will travel in meters so that it will have a speed of 6 m/s . Coefficient of kinetic friction between the block and the surface is 0.2 and the air resistance (as a function of displacement) is assumed to act horizontally with a magnitude of 150s Newtons, where s is the displacement from the starting position. Answer in 2 decimal places.
1. A block having a mass of 50 kg is subjected to a horizontal force that is causing it to have an acceleration of 1 m/s2. If the coefficient of friction between the block and the horizontal surface is 0.40, determine: a) the value of the horizontal force. b) Find the distance traveled after 10 seconds if it has an initial velocity of 5 m/s.
Express the angular speed of the earth in rad/s and rpm.
What is the weight of a pound mass on earth’s surface, where the acceleration due to gravity is 32.2ft/s2 and on the moon’s surface where the acceleration is 5.31ft/s2 ?
The platform scale consists of a combination of third and first class levers so that the load on one lever becomes the effort that moves the next lever. Through this arrangement, a small weight can balance a massive object. If x = 450 mm, determine the required mass of the counterweight S requiredto balance a 90-kg load, L.
The figure shown is formed of 1/8 -in.-diameter steel wire. Knowing that the specific weight of the steel is 490 lb/ft3 , determine the mass moment of inertia of the wire with respect to each of the coordinate axes.
An object with a mass of m=4.7 kg is attached to the free end of a light string wrapped around a reel of radius R=0.270 m and a mass of M=3.00 kg. The reel is a solid disc, free to rotate in a vertical plane about the horizontal axis passing through its center as shown in figure below. The suspended object is released from rest 7.00 m above the floor. Determine tension in the string. Determine the magnitude of the acceleration of the object. Determine the speed with which the object hits the floor.
Calculate the moment of inertia about x axis (lx) and about y axis(ly) for the given shape .
Determine the change in mass moment of inertia of an object that could be modeled as a point mass m when its distance from a center of rotation is doubled.