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Chapter 10 Physics with Calculus: Projectile Motion and Orbital Mechanics
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What is true about two projectiles launched at the same speed with launch angles adding up to 90°?
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What is true about two projectiles launched at the same speed with launch angles adding up to 90°?
They must have the
same range
assuming air drag is ignored.
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What is true about two projectiles launched at the same speed with launch angles adding up to 90°?
They must have the
same range
assuming air drag is ignored.
What is true about a volleyball tossed over a net starting and ending at the same height?
The ball’s
speed is the same
as when tossed, but its
velocity is different
.
What is true about the acceleration of a bullet fired horizontally and an identical bullet dropped from the same height?
Both bullets have the
same acceleration
while in flight.
When is a black hole created in terms of escape speed?
A black hole forms when the
escape speed
is greater than the speed of light.
If the vertical velocity component of a projectile is greater than the horizontal component, what can be said about the launch angle?
The launch angle will be
greater than 45 degrees
.
According to Kepler’s first law, where is the Sun located in a planet’s elliptical orbit?
The Sun is at
one focus
of the ellipse; the other focus is empty.
If the Moon is shifted to a lower circular orbit, how does its orbital period change?
The Moon’s orbital period becomes
less than 27.3 days
.
Is it possible for an outer planet to orbit its star faster than an inner planet according to Kepler’s laws?
No, this would violate
Kepler’s third law
of planetary motion.
What is the vertical component of acceleration for an object in projectile motion?
The vertical acceleration is
downward
due to gravity.
What is the horizontal component of acceleration for an object in projectile motion?
The horizontal acceleration is
zero
(constant horizontal velocity).
What shape does the path of a projectile follow?
The path is a
parabolic
trajectory.
What relationship does Kepler’s third law describe?
It relates a planet’s
orbital period
to the
size of its orbit
.
What is the velocity of a basketball at the top of its projectile trajectory?
The velocity equals the
horizontal component
of the initial velocity.
How does a planet’s speed vary during its orbit around a star?
The planet moves
faster when nearer
the star and slower when farther away.
When Earth orbits the Sun, when does it move fastest?
Earth moves fastest when it is
nearer the Sun
.
Who discovered that planets orbit in elliptical paths rather than circles?
Kepler
discovered the elliptical nature of planetary orbits.
How is the shape of a planet’s orbit best described?
The orbit is an
ellipse
.
How does kinetic energy behave during satellite motion?
Kinetic energy
varies with potential energy
to keep total energy constant.
If gravity between the Sun and Earth suddenly vanished, what path would Earth follow?
Earth would continue in a
straight-line path
due to inertia.
How does the horizontal velocity of a projectile change during flight?
The horizontal velocity
stays constant
throughout the flight.
Why is the path of a projectile a parabola?
Because it has
constant horizontal speed
and
changing vertical speed
.
What does Kepler’s second law state about the area swept by a planet’s orbit line?
Planets sweep out equal areas in equal times, moving
faster near the Sun
and slower when farther.
What is an ellipse in terms of distances from two fixed points?
An ellipse is a curve where the
sum of distances
from two foci is constant.
What did Newton’s cannonball theory demonstrate about orbital motion?
If fired fast enough, a projectile would
circle Earth indefinitely
.