(a) A spaceship is projected vertically upward from the Earth's surface with an initial speed of 5.51 km/s, but unfortunately does not have a great enough speed to escape Earth's gravity. What maximum height does the spaceship reach (in m)? Ignore air resistance. 1.549e6 x Apply the conservation of mechanical energy, where v, = 0. You witt need to know the radius and mass of the Earth. Be careful with your signs when writing the potential energy expressions. Note that you can use energy conservation to write the initial potential energy of the system in terms of the escape velocity. Solve your equation for h. m (b) A meteoroid falls from a height of 2.41 x 107 m above the surface of the Earth. What is the speed (in m/s) when the meteorite hits the Earth? Assume the meteoroid is initially at rest with respect to the Earth. (Note that a meteorite is a meteoroid that makes it to Earth's surface.) m/s

(a) A spaceship is projected vertically upward from the Earth's surface with an initial speed of 5.51 km/s, but unfortunately does not have a great enough speed to escape Earth's gravity. What maximum height does the spaceship reach (in m)? Ignore air resistance. 1.549e6 x Apply the conservation of mechanical energy, where v, = 0. You witt need to know the radius and mass of the Earth. Be careful with your signs when writing the potential energy expressions. Note that you can use energy conservation to write the initial potential energy of the system in terms of the escape velocity. Solve your equation for h. m (b) A meteoroid falls from a height of 2.41 x 107 m above the surface of the Earth. What is the speed (in m/s) when the meteorite hits the Earth? Assume the meteoroid is initially at rest with respect to the Earth. (Note that a meteorite is a meteoroid that makes it to Earth's surface.) m/s

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter8: Conservation Of Energy

Section: Chapter Questions

Problem 12PQ

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Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

(a) A spaceship is projected vertically upward from the Earth's surface with an initial speed of 5.51 km/s, but unfortunately does not have a great enough speed to escape Earth's gravity.
What maximum height does the spaceship reach (in m)? Ignore air resistance.
1.549e6
x
Apply the conservation of mechanical energy, where v, = 0. You witt need to know the radius and mass of the Earth. Be careful with your signs when writing the potential energy
expressions. Note that you can use energy conservation to write the initial potential energy of the system in terms of the escape velocity. Solve your equation for h. m
initially at rest with
(b) A meteorold falls from a height of 2.41 x 107 m above the surface of the Earth. What is the speed (in m/s) when the meteorite hits the Earth? Assume the meteoroid
respect to the Earth. (Note that a meteorite is a meteorold that makes it to Earth's surface.)
m/s

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