Question

A force causes an acceleration of 20ms-2 in a body of mass 0.5kg. What acceleration will be caused by the same force in a body of mass 3kg?​

Answer 1

Answer:

Given:

• $m_1 = 0.5 \ kg$
• $a_1 = 10 \ ms^{-2}$
• $m_2 = 3 \ kg$
• $a_2 = ?$

Find:

$\boxed{F = ma}$

$\therefore F = m_1 a_1$

$\implies F = 0.5 \ kg \times 20 \ ms^{-2}$

$\implies F = 10 \ kgms^{-2}$

$\implies F = 10 \ N$

Now:

$\implies F= m_2 a_2$

$\implies 10\ N = 3 \ kg \times a$

$\implies a = \dfrac{10 \ N}{3 \ kg}$

$\boxed{\implies{\boxed{a = 3.33 \ ms^{-2}}}}$