Question

A force F S applied to an object of mass m1 produces an acceleration of 3.00 m/s2. The same force applied to a second object of mass m2 produces an acceleration of 1.00 m/s2. (a) What is the value of the ratio m1/m2? (b) If m1 and m2 are combined into one object, find its acceleration under the action of the force F S .

Answer 1

a)
`(m_1)/(m_2)=(1)/(3)`

b) Acceleration = 0.75 m/s²

Step-by-step explanation:

a) We have force , F = mass x acceleration.

`\texttt{Value of force}=F_s`

`\texttt{Acceleration of }m_1=3m/s^2\\\\\texttt{Acceleration of }m_2=1m/s^2`

We have force value is same

`m_1* 3=m_2* 1\\\\(m_1)/(m_2)=(1)/(3)`

b) We have

`m_1* 3=m_2* 1\\\\m_2=3m_1`

Combined mass

`m=m_1+m_2=m_1+3m_1=4m_1`

Force

`F_s=4m_1* a\\\\a=(F_s)/(4m_1)=(1)/(4)* (F_s)/(m_1)=(1)/(4)* 3=0.75m/s^2`