Answer:
Approximately
if that athlete jumped up at
. (Assuming that
.)
Explanation:
The momentum
of an object is the product of its mass
and its velocity
. That is:
.
Before the jump, the speed of the athlete and the earth would be zero (relative to each other.) That is:
and
. Therefore:
and
.
Assume that there is no force from outside of the earth (and the athlete) acting on the two. Momentum should be conserved at the instant that the athlete jumped up from the earth.
Before the jump, the sum of the momentum of the athlete and the earth was zero. Because momentum is conserved, the sum of the momentum of the two objects after the jump should also be zero. That is:
.
Therefore:
.
.
Rewrite this equation to find an expression for
, the speed of the earth after the jump:
.
The mass of the athlete needs to be calculated from the weight of this athlete. Assume that the gravitational field strength is
.
.
Calculate
using
and
values from the question:
.
The negative sign suggests that the earth would move downwards after the jump. The speed of the motion would be approximately
.
Answer:
A topographic map is a map that indicates the features of the land's surface, such as mountains, hills, and valleys. This is usually done with wavy lines that represent the curves and elevation of the land.
This question can be solved with the help of the equations of motion.
A) The Frisbee will remain in the air for "5.87 s".
B) The frisbee will go "29.4 m" down the range.
A)
To calculate the time, the frisbee will remain in the air, we will use the second <em><u>equation of motion</u></em>, for the vertical motion.

where,
h = height = 169.2 m
vi = initial velocity's vertical component = 0 m/s
g = acceleration due to gravity = 9.81 m/s²
t = time = ?
Therefore,

<u>t = 5.87 s</u>
<u />
B)
Now, we will calculate the horizontal range by applying the equation for constant motion. Because the velocity in the horizontal direction will remain constant due to no air resistance
s = vt
where,
s = horizontal range = ?
v= initial velocity's horizontal component = 5 m/s
t = time = 5.87 s
Therefore,
s = (5 m/s)(5.87 s)
<u>s = 29.4 m</u>
<u />
Learn more about <em><u>equations of motion</u></em> here:
brainly.com/question/9772550?referrer=searchResults
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