Question

A force of 5 Newton acting on a body produce an acceleration of 2 metre second square the same force acting on the body be produce an acceleration of 5 metre per second square find the mass of bodies A and B what will the acceleration produced if both the bodies are tied together and same force acts on it

Answer 1

Answer:

mass of A is 2.5g

mass of B is 1g

Explanation:

we know that f equals to m into a so the mass of the bodies let be m does force in the first case applied is 5 Newtons and acceleration produced is 2 metre per second so by calculating the equation we will come to know that the mass of body is 2.5 grams and mass of a body B is 1 gram

Answer 2

Given that,

force acting on a body, F = 5 N

It produces an acceleration of 2 metre per second square.

The same force acting on the body to be produce an acceleration of 5 metre per second square.

To find,

The acceleration produced if both the bodies are tied together and same force acts on it.

Solution,

If F = 5 N, a = 2 m/s², Its mass is given by :

$m=\dfrac{F}{a}\\\\m=\dfrac{5}{2}\\\\m=2.5\ kg$

If F = 5 N, a = 5 m/s², its mass is given by :

$m=\dfrac{F}{a}\\\\m=\dfrac{5}{5}\\\\m=1\ kg$

Th masses of bodies A and B are 2.5 kg and 1 kg respectively.

Let a' is the acceleration when the two bodies are tied together and same force acts on it such that :

$F=(m_A+m_B)a'\\\\a'=\dfrac{5}{2.5+1}\\\\a'=1.42\ m/s^2$

Hence, the acceleration when the two bodies are tied together and same force acting on it is 1.42 m/s².

Learn more,

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