Question

A force acting on a body of mass 7 kg produces an acceleration of 10 ms−2. The acceleration that the same force will produce in a body of mass 9 kg will be: A. 5 ms−2B. 6 ms−2C. 6.5 ms−2D. 7.7 ms−2

Answer 1

Answer:-

• Mass=m1=7kg
• Mass=m2=9kg
• Acceleration=a1=10m/s$^2$
• Acceleration=a2=?

Here Force is constant

According to Newtons Law

$\boxed{\sf F=ma}$

ATQ

$\\ \sf\longmapsto m_1\times a_1=m_2\times a_2$

$\\ \sf\longmapsto 7\times 10=9\times a_2$

$\\ \sf\longmapsto 70=9a_2$

$\\ \sf\longmapsto a_2=\dfrac{70}{9}$

$\\ \sf\longmapsto a_2=7.7m/s^2$

Thus option d is correct.