Force of gravity = 'G' (mass₁)(mass₂) / (distance)²
'G' is the gravitational constant for SI units = 6.67 x10⁻¹¹ newton-meter²/kg²
You said that the force is <u>2.99 x 10⁻¹⁰</u> = (6.67x10⁻¹¹) (4) (7) / D²
Multiply each side by D² : 2.99 x 10⁻¹⁰ D² = (6.67x10⁻¹¹) (28)
Divide each side by 2.99 x 10⁻¹⁰ : D² = (28) (6.67 x10⁻¹¹) / (2.99 x 10⁻¹⁰)
Take the square root of each side: D = square root of all that
Stuff it through my calculator:
D = square root of [ (28) (6.67 x10⁻¹¹) / (2.99 x 10⁻¹⁰) ] =
√ ( 6.2462...) meters² =
<em>2.5 meters </em> (rounded)
===================
To get the feel:
-- The book weighs about 8.8 pounds (big book)
-- The lamp weighs about 15.4 pounds
-- They're about 8.2 feet apart.
-- The strength of the gravitational force
between them is about 0.000 000 001 075 of an ounce .
The net force acting on the crate is determined as 176 N to the left.
<h3>Net force acting on the crate</h3>
The net force acting on the crate is calculated as follows;
∑F = F1 + F2 + F3 + F4
F(net) = -440y + 176x + 440y - 352x
F(net) = -176 x
The resultant force is pointing in negative x direction.
Thus, the net force acting on the crate is determined as 176 N to the left.
Learn more about net force here: brainly.com/question/14361879
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Answer:
402 nm .
Explanation:
Let the wave length of unknown light be λ .
For fifth order maxima the condition is
path difference at the point of fringe = 5 λ
For red light of 670 nm , for 3 rd order maxima
path difference at the point of fringe = 3 x wave length
= 3 x 670 nm
From these two equations
5 λ = 3 x 670 nm
λ = 3 x 670 / 5 nm
= 402 nm .