When you are pushing an object up an inclined plane, the object is gaining gravitational potential energy as it is gaining height. The kinetic energy of the object decreases and converts into that potential energy as you go up. When you have stopped, all of the kinetic energy of the object has fully been converted to gravitational potential energy.
No, the density of diamond and graphite would not be the same
Explanation:
What is density?
Density is the amount of substance per unit volume. It is simply mass divided by volume.
Density is greatly influenced by the way substances are packed.
Substances that are well packed will have lower volume for the same amount of matter than another that is poorly packed.
- The carbon atoms in graphite are poorly packed. They are arranged layers upon layers.
- Diamond carbon atoms have a cross-linked networked pattern. They are well packed.
- For the same mass of matter, graphite will take up more space than diamond.
Since:
Density = 
The one that has a lesser volume will have a higher density.
Therefore diamond will have a higher density.
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Answer:
a) 
b) 
Explanation:
Given:
- upward acceleration of the helicopter,

- time after the takeoff after which the engine is shut off,

a)
<u>Maximum height reached by the helicopter:</u>
using the equation of motion,

where:
u = initial velocity of the helicopter = 0 (took-off from ground)
t = time of observation


b)
- time after which Austin Powers deploys parachute(time of free fall),

- acceleration after deploying the parachute,

<u>height fallen freely by Austin:</u>

where:
initial velocity of fall at the top = 0 (begins from the max height where the system is momentarily at rest)
time of free fall


<u>Velocity just before opening the parachute:</u>



<u>Time taken by the helicopter to fall:</u>

where:
initial velocity of the helicopter just before it begins falling freely = 0
time taken by the helicopter to fall on ground
height from where it falls = 250 m
now,


From the above time 7 seconds are taken for free fall and the remaining time to fall with parachute.
<u>remaining time,</u>



<u>Now the height fallen in the remaining time using parachute:</u>



<u>Now the height of Austin above the ground when the helicopter crashed on the ground:</u>


