Answer:
1.63 s
Explanation:
The skier lands on the sloped section when the direction of its velocity is exactly identical to that of the slope, so at 
below the horizontal.
This occurs when the magnitude of the vertical velocity is equal to the horizontal velocity (in fact, 
, and since 
and so 
.
We already know the horizontal velocity of the skier:
And this is constant during the entire motion.
The vertical velocity instead is given by
where
is the initial vertical velocity (zero since the skier flies off horizontally)
g = 9.8 m/s^2
t is the time
Here we have chosen the downward direction as positive direction.
Substituting 
, we find the time:
<em>Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.</em>
It is 10.20 m from the ground.
<u>Explanation:</u>
<u>Given:</u>
m = 0.5 kg
PE = 50 J
We know that the Potential energy is calculated by the formula:
where m is the is mass in kg; g is acceleration due to gravity which is 9.8 m/s and h is height in meters.
PE is the Potential Energy.
Potential Energy is the amount of energy stored when an object is stationary.
Here, if we substitute the values in the formula, we get
50 = 0.5 × 9.8 × h
50 = 4.9 × h
h = 10.20 m
The answer is; The sun will turn into a red giant
This occurs as the hydrogen fuel in the fusion core of the sun begins to deplete. When the hydrogen fuel is depleted, the star begins to collapse on itself due to gravity. This pressure causes the heavier helium to begin fusing in the area around the core. The stars begin to heat up again producing enough energy to push out the outer shells of the star. This causes the star to expand. The outer shells become less hot hence the decrease in luminosity of red giants.
