Use the law of universal gravitation, which says the force of gravitation between two bodies of mass <em>m</em>₁ and <em>m</em>₂ a distance <em>r</em> apart is
<em>F</em> = <em>G m</em>₁ <em>m</em>₂ / <em>r</em>²
where <em>G</em> = 6.67 x 10⁻¹¹ N m²/kg².
The Earth has a radius of about 6371 km = 6.371 x 10⁶ m (large enough for a pineapple on the surface of the earth to have an effective distance from the center of the Earth to be equal to this radius), and a mass of about 5.97 x 10²⁴ kg, so the force of gravitation between the pineapple and the Earth is
<em>F</em> = (6.67 x 10⁻¹¹ N m²/kg²) (1 kg) (5.97 x 10²⁴ kg) / (6.371 x 10⁶ m)²
<em>F</em> ≈ 9.81 N
Notice that this is roughly equal to the weight of the pineapple on Earth, (1 kg)<em>g</em>, where <em>g</em> = 9.80 m/s² is the magnitude of the acceleration due to gravity, so that [force of gravity] = [weight] on any given planet.
This means that on this new planet with twice the radius of Earth, the pineapple would have a weight of
<em>F</em> = <em>G m</em>₁ <em>m</em>₂ / (2<em>r</em>)² = 1/4 <em>G m</em>₁ <em>m</em>₂ / <em>r</em>²
i.e. 1/4 of the weight on Earth, which would be about 2.45 N.
Answer:
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Explanation:
Formula for number of images formed by two plane mirrors incident at an angle θ is n = 360∘θ. If n is even, the number of images is n-1, if n is an odd number of images.
The power in horsepower is 40.1 hp
Explanation:
We start by calculating the work done by the airplane during the climb, which is equal to its change in gravitational potential energy:
![W=(mg)\Delta h](https://tex.z-dn.net/?f=W%3D%28mg%29%5CDelta%20h)
where
mg = 11,000 N is the weight of the airplane
is the change in height
Substituting,
![W=(11,000)(1600)=17.6\cdot 10^6 J](https://tex.z-dn.net/?f=W%3D%2811%2C000%29%281600%29%3D17.6%5Ccdot%2010%5E6%20J)
Now we can calculate the power delivered, which is given by
![P=\frac{W}{t}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BW%7D%7Bt%7D)
where
is the work done
is the time taken
Substituting,
![P=\frac{17.6\cdot 10^6 J}{588}=2.99\cdot 10^4 W](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B17.6%5Ccdot%2010%5E6%20J%7D%7B588%7D%3D2.99%5Ccdot%2010%5E4%20W)
Finally, we can convert the power into horsepower (hp), keeping in mind that
![1 hp = 746 W](https://tex.z-dn.net/?f=1%20hp%20%3D%20746%20W)
Therefore,
![P=\frac{2.99\cdot 10^4}{746}=40.1 hp](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B2.99%5Ccdot%2010%5E4%7D%7B746%7D%3D40.1%20hp)
Learn more about power:
brainly.com/question/7956557
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The theory of relativity usually encompasses two interrelated theories by Albert Einstein: special relativity and general relativity, proposed and published in 1905 and 1915, respectively. Special relativity applies to all physical phenomena in the absence of gravity
Answer:
What is your name?
Explanation:
no bro I don't know I am New of this app so I don't know