<span>First of all, the bolts wont hit the ground at equal time intervals because each bolt is constantly increasing. Therefore, the top will have different velocity with the bottom bolt at all times. this means that the bolts will speed up more as they are higher which will make the interval time shorter. therefore, the time will decrease</span>
Answer:
7160.2812 s or 1.988 hours
Explanation:
m = Mass of person
R = Radius of Earth = 
g = Acceleration due to gravity = 9.81 m/s²
= Angular speed
Force at equator would be

Force at pole

From the question

Time period is given by

The rotational period of the planet is 7160.2812 s or 1.988 hours
Answer:
Explanation:
Sam mass=75kg
Height is 50m
20° frictionless slope
Horizontal force on Sam is 200N
According to the work energy theorem, the net work done on Sam will be equal to his change in kinetic energy.
Therefore
Wg - Ww =∆K.E
Note initial the body was at rest at top of the slope.
Then, ∆K.E is K.E(final) - K.E(initial)
K.E Is given as ½mv²
Since initial velocity is zero then, K.E(initial ) is zero
Therefore, ∆K.E=½mVf²
Wg is work done by gravity and it is given by using P.E formulas
Wg=mgh
Wg=75×9.8×50
Wg=36750J
Ww is work done by wind and it's is given by using formulae for work
Work=force × distance
Ww=horizontal force × horizontal distance
Using Trig.
TanX=opposite/adjacent
Tan20=h/x
x=h/tan20
x=50/tan20
x=137.37m
Then,
Ww=F×x
Ww=200×137.37
We=27474J
Now applying the formula
Wg - Ww =∆K.E
36750 - 27474 =½×75×Vf²
9276=37.5Vf²
Vf²=9275/37.5
Vf²= 247.36
Vf=√247.36
Vf=15.73m/s
Answer:
B. silicate rocks and metals
Explanation:
Given data
Mass of skier m=65kg
Height of slope =80m
Potential energy possessed by the skier (positive work done) =12000J
Analysing his energy at half way point on the hill
Potential energy will be equal to kinetic energy
Applying the conservative principles of energy when the skier is at half way point in the hill
I.e
mgh= 1/2mv²
The masses will cancel out
gh=v²
Given g= 9.81m/s²
Let's solve for the velocity
v²=9.81*80
v=√784.8
v=28.0m/s
Now we can solve for the kinetic energy
KE= 1/2mv²
KE =1/2*60*28²
KE =47063.9/2
KE=23531.9J
Hence we can calculate the energy gained by the skier during his movement
Energy gained = KE-PE
= 23531.9-12000
= 11531.9J