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(a) At a corresponding hill on Earth and a lesser gravity on planet Epslion, the height of the hill will cause a reduction in the initial speed of the snowboarder from 4 m/s to a value greater than zero (0).
(b) If the initial speed at the bottom of the hill is 5 m/s, the final speed at the top of the hill be greater than 3 m/s.
<h3>
Conservation of mechanical energy</h3>
The effect of height and gravity on speed on the given planet Epislon is determined by applying the principle of conservation of mechanical energy as shown below;
ΔK.E = ΔP.E
¹/₂m(v²- u²) = mg(hi - hf)
¹/₂(v²- u²) = g(0 - hf)
v² - u² = -2ghf
v² = u² - 2ghf
where;
- v is the final velocity at upper level
- u is the initial velocity
- hf is final height
- g is acceleration due to gravity
when u² = 2gh, then v² = 0,
when gravity reduces, u² > 2gh, and v² > 0
Thus, at a corresponding hill on Earth and a lesser gravity on planet Epslion, the height of the hill will cause a reduction in the initial speed of the snowboarder from 4 m/s to a value greater than zero (0).
<h3>Final speed</h3>
v² = u² - 2ghf
where;
- u is the initial speed = 5 m/s
- g is acceleration due to gravity and its less than 9.8 m/s²
- v is final speed
- hf is equal height
Since g on Epislon is less than 9.8 m/s² of Earth;
5² - 2ghf > 3 m/s
Thus, if the initial speed at the bottom of the hill is 5 m/s, the final speed at the top of the hill be greater than 3 m/s.
Learn more about conservation of mechanical energy here: brainly.com/question/6852965
No rope is anywhere, since no situation is shown.
Answer:
7267.19 J
Explanation:
From the question given above, the following data were obtained:
Mass (m) = 96.54 kg
Velocity (v) = 12.27 m/s
Kinetic energy (KE) =?
Kinetic energy is simply defined as the the energy possess by a body in motion. Mathematically, it can be expressed as:
KE = ½mv²
Where
KE => is the kinetic energy
m => is the mass of the object
V => is the velocity of the object.
With the above formula, we can obtain the kinetic energy Usain Bolt as follow:
Mass (m) = 96.54 kg
Velocity (v) = 12.27 m/s
Kinetic energy (KE) =?
KE = ½mv²
KE = ½ × 96.54 × 12.27²
KE = 48.27 × 150.5529
KE = 7267.19 J
Thus, the kinetic energy of Usain Bolt is 7267.19 J
