<span>The answer is, 7.44 kg*m/s</span>
Answer:
The acceleration of the earth is 7.05 * 10^-25 m/s²
Explanation:
<u>Step 1:</u> Data given
mass of the apple = 0.43 kg
acceleration = 9.8 m/s²
mass of earth = 5.98 * 10 ^24 kg
<u>Step 2:</u> Calculate the acceleration of the earth
Following the third law of Newton F = m*a
F(apple) = F(earth) = m(apple)*a(apple)
F(apple) = 0.43 kg * 9.8 m/s² = 4.214 N
a(earth) = F(apple/earth)/m(earth)
a(earth) = 4.214N /5.98 * 10 ^24 kg
a(earth) = 7.05 * 10^-25 m/s²
The acceleration of the earth is 7.05 * 10^-25 m/s²
E = 300km * 2000J/km = 600000J
The rotational energy is given by:
E = 0.5 * I * ω²
I for a uniform cylinder is given by:
I = 0.5 * m * r²
Resulting equation:
E = 0.25 * m * r² * ω²
Given values:
ω = 430 rev/s = 430 * 2π / s
E = 600000
Solve for r.
Answer:
No it will not make to the top of the hill
Explanation:
From the question we are told that
The velocity is 
The height of the hill is 
Generally from the law of energy conservation we have that
The kinetic energy of the pluck at the level position = The potential energy of the pluck at the maximum height the pluck can get to
So

=> 
=> 
=> 
Given that the maximum height which the pluck can get to at this speed given in the question is less than the height of the hill then conclusion will be that the pluck will not make it to the top of the hill
Answer:

Explanation:
<em>Cerebral Perfusion Pressure</em><em> </em>is obtained by subtracting <em>IntraCranial Pressure</em>(ICP) from the <em>Mean Arterial Pressure</em>(MAP). Adequate cerebral perfusion requires a minimum goal of
. MAP is obtained using the formula:-
