Question

A projectile is fired straight upward from the Earth's surface at the South Pole with an initial speed equal to one third the escape speed. (The radius of the Earth is 6.38 106 m.) (a) Ignoring air resistance, determine how far from the center of the Earth the projectile travels before stopping momentarily. m (b) What is the altitude of the projectile at this instant? m

Answer #1

given :

radius of earth = R =

mass of earth = M =

escape speed on earth's surface =

projection speed = v = .

As the projection speed is less than escape speed, it reaches to a certain height where speed is zero.

let, height reached is H from the surface. and mass of projectile is m.

therefore, applying conservation of mechanical energy :

[answer].

The distance of the point from center of earth when the projectile stops momentarily = R + H = [answer]

A space probe is fired as a projectile from the Earth's surface
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energy required to escape Earth? (Give your answers as unitless
numbers.) (c) What is the least initial mechanical energy required
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A projectile is shot directly away from Earth's surface. Neglect
the rotation of the Earth. What multiple of Earth's radius RE gives
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Earth and (b) its initial kinetic energy is 0.763 of the kinetic
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numbers.) (c) What is the least initial mechanical energy required
at launch if the...

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the rotation of the Earth. What multiple of Earth's radius
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speed is 0.335 of the escape speed from Earth and
(b) its initial kinetic energy is 0.335 of the
kinetic energy required to escape Earth? (Give your answers as
unitless numbers.) (c)What is the least initial
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the rotation of the Earth. What multiple of Earth's radius RE gives
the radial distance (from the Earth's center) the projectile
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ch 6
1:
It is generally a good idea to gain an understanding of the
"size" of units. Consider the objects and calculate the kinetic
energy of each one.
A ladybug weighing 37.3 mg
flies by your head at 3.83 km/h
.
×10
J
A 7.15 kg
bowling ball slides (not rolls) down an alley at 17.5 km/h
.
J
A car weighing 1260 kg
moves at a speed of 49.5 km/h.
5:
The graph shows the ?-directed force
??...

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