Answer:
d)53.36×10⁻⁷N
Step-by-step explanation:
The formula for gravitational force between two bodies is given by
F = G (Mm/r²)
Where,
F = gravitational force ( we are asked to find this)
G = gravitational constant = 6.674 x 10⁻¹¹
M = mass of one of the bodies = 4000 kg
m = mass of the the other body = 2000 kg
r = distance between the two bodies = 10m
substituting the above values into the equation:
F = G (Mm/r²)
= (6.674 x 10⁻¹¹) (4000)(2000) / (10²)
= 5.339 x 10⁻⁶
= 53.39 x 10⁻⁷ Newtons
The closest answer to this is d
As the question say this problem is a practice of the law of cosines!
The law of cosine: c^2=a^2+b^2-2ab*cos*c for any side a, b and c
The law can also be written as c=sqrt(a^2+b^2-2abcosc)
Now use this formula!(note cos 100 degrees is about 0.8623)
c=sqrt(15^2+16^2-2*15*16*cos100)
solving this we can MN is about 23.75
Round this to the nearest tenths now!
We get 23.8!
Thus the answer is D
4.156*10^7 is the scientific notation form of 41,560,000.
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<em>Step-by-step explanation:</em>
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<em>Distribute the Negative Sign:</em>
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<em>Combine Like Terms:</em>
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<em>Hope this helped you!</em>
