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Yes, if we know the Earth's mass
Explanation:
The momentum of an object is a vector quantity given by the equation
where
m is the mass of the object
v is its velocity
In this case, we are asked if we can find the velocity of the Earth by starting from its momentum. Indeed, we can. In fact, we can rewrite the equation above as
Therefore, if we know the momentum of the Earth (p) and we know its mass as well (m), we can solve the formula to find the Earth's velocity.
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Answer:
The ball would hit the floor approximately after leaving the table.
The ball would travel approximately horizontally after leaving the table.
(Assumption: .)
Explanation:
Let denote the change to the height of the ball. Let
denote the time (in seconds) it took for the ball to hit the floor after leaving the table. Let
denote the initial vertical velocity of this ball.
If the air resistance on this ball is indeed negligible:.
The ball was initially travelling horizontally. In other words, before leaving the table, the vertical velocity of the ball was .
The height of the table was . Therefore, after hitting the floor, the ball would be
below where it was before leaving the table. Hence,
.
The equation becomes:
.
Solve for :
.
In other words, it would take approximately for the ball to hit the floor after leaving the table.
Since the air resistance on the ball is negligible, the horizontal velocity of this ball would be constant (at ) until the ball hits the floor.
The ball was in the air for approximately and would have travelled approximately
horizontally during the flight.