A 15N force accelerates the mass m 1 with acceleration 3m/s 2 , and m 2 mass with acceleration 5 m/s 2 . What would be the acceleration, when 30N force is applied on tying the two masses together? - Wired Faculty

Question

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A 15N force accelerates the mass m₁with acceleration 3m/s², and m₂ mass with acceleration 5 m/s². What would be the acceleration, when 30N force is applied on tying the two masses together?

Solution

According to Newton's first law of motion,
F = ma
i.e., m = F/a
Force acting on two bodies, F = 15 N
∴
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Mass of second body, $straight m subscript 2 space equals space straight F over straight a subscript 2 space equals space 15 over 5 space equals space 3 space kg$
Now the acceleration produced by 30N force when both masses are tied together is,
$straight a equals fraction numerator 30 over denominator straight m subscript 1 plus straight m subscript 2 end fraction equals fraction numerator 30 over denominator 3 plus 5 end fraction$

$equals space 3.75 space straight m divided by straight s squared$

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Laws Of Motion

A 15N force accelerates the mass m₁with acceleration 3m/s², and m₂ mass with acceleration 5 m/s². What would be the acceleration, when 30N force is applied on tying the two masses together?

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For Daily Free Study Material Join wiredfaculty

Laws Of Motion

A 15N force accelerates the mass m1 with acceleration 3m/s2, and m2 mass with acceleration 5 m/s2. What would be the acceleration, when 30N force is applied on tying the two masses together?

Some More Questions From Laws of Motion Chapter

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

Which law of motion is the real law of motion?

Which law of motion gives the quantitative definition of force?

Why do we pull the rope in downward direction for climbing up?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A 15N force accelerates the mass m₁with acceleration 3m/s², and m₂ mass with acceleration 5 m/s². What would be the acceleration, when 30N force is applied on tying the two masses together?