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  • Derive the unit of force using the second law of motion. A force of 5 N produces an acceleration of 8 ms^{–2} on a mass m_1 and an acceleration of 24 ms^{–2} on a mass m_2.

Derive the unit of force using the second law of motion. A force of 5 N produces an acceleration of 8 ms–2 on a mass m1 and an acceleration of 24 ms–2 on a mass m2. What acceleration would the same force provide if both the masses are tied together?

Answers (1)

Sol.

By Newton’s second law, we know that force on a body will be equal to the product of mass and acceleration.

F = ma

If a force is applied on 1kg block and it can produce an acceleration of 1 m/s2, The force will be a unit force. It is known as 1 newton force.

We can find out the mass of both bodies by using the above equation:

m=\frac{F}{a}\\\Rightarrow m_1=\frac{5}{8} kg\\\Rightarrow m_2=\frac{5}{24} kg

When they are combined,

total mass will be:

m=m_1+m_2\\\\m=\frac{5}{8}+\frac{5}{24}=\frac{5}{6}kg

Now the acceleration will be:

a=\frac{F}{m}\\\frac{5}{\frac{5}{6}}=6\; m/s^2
 

Posted by

Gurleen Kaur

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