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mezya [45]
3 years ago
10

What is the energy equivalent of an object with a mass of 25 kg?

Physics
1 answer:
Amanda [17]3 years ago
3 0

Answer:

2.25\cdot 10^{18} J

Explanation:

The energy equivalent of the mass of an object can be calculated by using the Einstein's equation:

E=mc^2

where

E is the energy

m is the rest mass of the object

c=3\cdot 10^8 m/s is the speed of light

For this object

m = 25 kg

So its equivalent energy is:

E=(25)(3\cdot 10^8)^2=2.25\cdot 10^{18} J

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Answer:

(a) g = 8.82158145m/s^2.

(b) 7699.990192m/s.

(c)5484.3301s = 1.5234 hours.(extremely fast).

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(a) Strength of gravitational field 'g' by definition is

g = \frac{M_{(earth)} }{r^2} G , here G is Gravitational Constant, and r is distance from center of earth, all the values will remain same except r which will be radius of earth + altitude at which ISS is in orbit.

r = 6721,000 meters, putting this value in above equation gives g = 8.82158145m/s^2.

(b) We have to essentially calculate centripetal acceleration that equals new 'g'.

a_{centripetal}=\frac{V^2}{r} =g here g is known, r is known and v is unknown.

plugging in r and g in above and solving for unknown gives V = 7699.990192m/s.

(c)  S = vT,  here T is time period or time required to complete one full revolution.

S =  earth's circumfrence , V is calculated in (B) T is unknown.

solving for unknown gives T = 5484.3301s = 1.5234hours.

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3 years ago
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Convert the following to relative uncertainties <br>a) 2.70 ± 0.05cm<br>b) 12.02 ± 0.08cm
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data which is expressed in form of following way

a = a_o + \Delta a

here in above expression

a_o = true value

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now the relative uncertainty is given as

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now by above formula we can say

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uncertainty = 0.05

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b) 12.02 ± 0.08cm

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