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Genrish500 [490]
2 years ago
13

the weight of an object on the earths surface is 300N. when it is lifted to 3 times the height, its weight will become

Physics
1 answer:
emmainna [20.7K]2 years ago
6 0

Answer:

The weight of the object when it is lifted to 3 times the height is 33.\overline 3 N

Explanation:

The given parameters are;

The weight of the object on Earth, W = 300 N

The initial position of the object = On the surface of the Earth

Therefore;

The distance with which the weight is measured = The radius of the Earth, R

By Newton's Law of Gravitation, we have;

W = G \times \dfrac{M \times m}{R^2}

Where;

W = 200 N

G = The universal gravitational constant

M = The mass of the Earth

m = The mass of the object

When the height of the object = 3 × R, the weight of the object, W₂, is given as follows;

W_2 =  G \times \dfrac{M \times m}{(3 \times R)^2} = \dfrac{1}{9} \times G \times \dfrac{M \times m}{ R^2} = \dfrac{1}{9}  \times W =  \dfrac{1}{9}  \times 300 N = 33.\overline 3 \ N

Therefore, the weight of the object at 3 times the height, W₂ = 33.\overline 3 N

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<u><em>Answer:</em></u>

<u><em> </em></u>

<u><em>9.2 N, with significant figure rounding (2 s.f.) </em></u>

<u><em></em></u>

<u><em>Explanation:</em></u>

<u><em>This problem can be solved using momentum. The following equation relates momentum (mass & velocity) with force and time:</em></u>

<u><em></em></u>

<u><em>Note that  where v is the final velocity and v₀ is the initial velocity. Δv just means change in velocity.</em></u>

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<u><em>Mass of the egg is 150 g, but we need to convert to kilograms if we want to use Newtons as a unit. 150 g is equal to 0.15 kg. since 1000 g = 1kg. </em></u>

<u><em>m = 0.15 kg</em></u>

<u><em></em></u>

<u><em>The dropped from 3.0 meters is irrelevant as the question tells us the initial velocity of the egg: 4.4 m/s before it hits the ground.</em></u>

<u><em>v₀ = 4.4 m/s [down]</em></u>

<u><em></em></u>

<u><em>When it comes to a stop, the egg will have a velocity of 0.</em></u>

<u><em>v = 0 m/s</em></u>

<u><em></em></u>

<u><em>The time it takes for the egg to stop is 0.072 seconds.</em></u>

<u><em>Δt = 0.072 s</em></u>

<u><em></em></u>

<u><em>Therefore, if down is positive, then</em></u>

<u><em></em></u>

<u><em>   </em></u>

<u><em></em></u>

<u><em>We round to two significant figures since every quantity has two sig. figs.</em></u>

<u><em>We only care about the magnitude, not direction. The answer is 9.2 N.</em></u>

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