What's at the bottom of the black hole? Explain .
1 answer:
You might be interested in
Answer:
a) Time = 2.67 s
b) Height = 35.0 m
Explanation:
a) The time of flight can be found using the following equation:
(1)
Where:
: is the final position in the horizontal direction = 80 m
: is the initial position in the horizontal direction = 0
: is the initial velocity in the horizontal direction = 30 m/s
a: is the acceleration in the horizontal direction = 0 (the stone is only accelerated by gravity)
t: is the time =?
By entering the above values into equation (1) and solving for "t", we can find the time of flight of the stone:
b) The height of the hill is given by:
Where:
: is the final position in the vertical direction = 0
: is the initial position in the vertical direction =?
: is the initial velocity in the vertical direction =0 (the stone is thrown horizontally)
g: is the acceleration due to gravity = 9.81 m/s²
Hence, the height of the hill is:
I hope it helps you!
Answer:
Approximately (assuming that this spring is ideal.)
Explanation:
The displacement of a spring is the new length of the spring relative to the original length.
For example:
- When the
-spring in this question is stretched to
, the displacement is
.
- Likewise, if this spring is stretched to
, the displacement would be
.
If this spring is ideal, the force on the spring would be proportional to the displacement of the spring. In other words, if a force of displaces this spring by
, while a force of
displaces this spring by
, then:
.
In this question, it is given that a force of would stretch this spring by
. Thus, the force
required to stretch this spring by
would satisfy:
.
Rearrange and solve for :
.