What is the change in potential energy of an energetic 72 kg hiker who makes it from the floor of death valley to the top of mt.
1 answer:
You might be interested in
1) Initial upward acceleration:
2) Mass of burned fuel:
Explanation:
1)
There are two forces acting on the rocket at the beginning:
- The force of gravity, of magnitude , in the downward direction, where
is the rocket's mass
is the acceleration of gravity
- The thrust of the motor, T, in the upward direction, of magnitude
According to Newton's second law of motion, the net force on the rocket must be equal to the product between its mass and its acceleration, so we can write:
(1)
where a is the acceleration of the rocket.
Solving for a, we find the initial acceleration:
2)
When the rocket reaches an altitude of 5000 m, its acceleration has increased to
The reason for this increase is that the mass of the rocket has decreased, because the rocket has burned some fuel.
We can therefore rewrite eq.(1) as
where
is the new mass of the rocket
Re-arranging the equation and solving for m', we find
And since the initial mass of the rocket was
This means that the mass of fuel burned is
<h2>Answer:7.14
,4.125</h2>
Explanation:
Whenever an object is moving in a 2D frame,its motion can be analysed as if it is travelling in two independent 1D frames.
One of such independent 1D frames are along horizontal and another along vertical.
Let be the total velocity.
Given that,
We call the horizontal velocity as and the vertical velocity as
.
=
where is the angle between the object and horizontal.
It is given that