Question

You apply the same force to two objects. Object 1 has mass M and object 2 has mass 5M. The acceleration of object 2 isSelect one:a. one-fifth as that of object 1.b. ten times that of object 1.c. has no relation to that of object 1.d. the same as that of object 1.e. five times that of object 1.

Answer 1

ANSWER:

a. one-fifth as that of object 1.

STEP-BY-STEP EXPLANATION:

We have that the acceleration is given as follows:

$\begin{gathered} F=m\cdot a \\ a=\frac{F}{m} \\ F=\text{constant } \\ \text{therefore} \\ a_1=\frac{F}{M} \\ a_2=\frac{F}{5M}_{} \\ \text{therefore} \\ a_2=\frac{1}{5}\cdot\frac{F}{M} \\ a_2=\frac{1}{5}\cdot a_1 \end{gathered}$

Therefore, the answer is one-fifth as that of object 1.