Answer: 6067.5 N
Explanation:
Work = Change in Energy. To start, all of the energy is kinetic energy, so find the total KE using: KE = 1/2(m)(v^2). Plug in 1980 kg for m and 15.5 m/s for v and get KE = 237847.5 J.
Now, plug this in for work: Work = Force * Distance; so, divide work by distance to get 6067.5 N.
The Earth's rotational kinetic energy is the kinetic Energy that the Earth
has due to rotation.
The rotational kinetic energy of the Earth is approximately <u>3.331 × 10³⁶ J</u>
Reasons:
<em>The parameters required for the question are; </em>
<em>Mass of the Earth, M = </em><em>5.97 × 10²⁴ kg</em>
<em>Radius of the Earth, R = </em><em>6.38 × 10⁶ m</em>
<em>The rotational period of the Earth, T = </em><em>24.0 hrs</em><em>.</em>

Which gives;



Therefore;

Which gives;

The rotational kinetic energy of the Earth,
= <u>3.331 × 10³⁶ Joules</u>
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<em>The moment of inertia from part A of the question (obtained online) is that of the Earth approximated to a perfect sphere</em>.
<em>Mass of the Earth, M = 5.97 × 10²⁴ kg</em>
<em>Radius of the Earth, R = 6.38 × 10⁶ m</em>
<em>The rotational period of the Earth, T = 24.0 hrs</em>
Answer: d
Explanation: divide it by 4
Answer:
The net acceleration of the boat is approximately 6.12 m/s² downwards
Explanation:
The buoyant or lifting force applied to the boat = 790 N
The mass of the boat lifted by the buoyant force = 214 kg
The force applied to a body is defined as the product of the mass and the acceleration of the body. Therefore, the buoyant force, F, acting on the boat can be presented as follows;
Fₐ = F - W
The weight of the boat = 214 × 9.81 = 2099.34 N
Therefore;
Fₐ = 790 - 2099.34 = -1309.34 N
Fₐ = Mass of the boat × The acceleration of the boat
Given that the buoyant force, Fₐ, is the net force acting on the boat, we have;
F = Mass of the boat × The net acceleration of the boat
F = -1309.34 N = 214 kg × The net acceleration of the boat
∴ The net acceleration of the boat = -1309.34 N/(214 kg) ≈ -6.12 m/s²
The net acceleration of the boat ≈ 6.12 m/s² downwards