Question:
The greatest and least resultant of two forces acting at a point are 29 Kg wt. and 5, Kg wt. respectively. If each force is increased by 3 Kg w t the magnitude of the resultant of hew forces acting at right angles to each other is.
The greatest and least resultant of two forces acting at a point are 29 Kg wt. and 5, Kg wt. respectively. If each force is increased by 3 Kg w t the magnitude of the resultant of hew forces acting at right angles to each other is.
Updated On: Jul 7, 2022
- 45 kg wt.
- 35 kg wt.
- 25 kg wt
- 15 kg wt
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The Correct Option is C
Solution and Explanation
a + b = 29; a - b = 5 $\Rightarrow$ a = 17 , b = 12
$a' = 20, b' = 15$
$R'= \sqrt{20^2 + 15^2}$
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Concepts Used:
Newtons Law of Gravitation
Gravitational Force
Gravitational force is a central force that depends only on the position of the test mass from the source mass and always acts along the line joining the centers of the two masses.
Newton’s Law of Gravitation:
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
- Directly proportional to the product of their masses i.e. F ∝ (M1M2) . . . . (1)
- Inversely proportional to the square of the distance between their center i.e. (F ∝ 1/r2) . . . . (2)
By combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2 [f(r)is a variable, Non-contact, and conservative force]