Question

Forces are applied to five different buckets. Tables that show the masses of each bucket and the net force acting on each bucket are shown in the answer choices.
Which bucket experiences the greatest acceleration?

• A. Mass of Bucket $1.0kg$
  Net Force on Bucket $5.0N$
• B. Mass of Bucket $2.0kg$
  Net Force on Bucket $8.0N$
• C. Mass of Bucket $3.0kg$
  Net Force on Bucket $9.0N$
• D. Mass of Bucket $4.0kg$
  Net Force on Bucket $24.0N$
• E. Mass of Bucket $5.0kg$
  Net Force on Bucket $5.0N$

Answer 1

Answer: (D)

Mass of Bucket $4.0kg$

Net Force on Bucket $24.0N$
Acceleration of the bucket $a=\frac{F_{net}}{m}$

$\therefore$ $a_A=\frac{5.0}{1.0}=5.0$ $m/s^2$ $a_B=\frac{8.0}{2.0}=4.0$ $m/s^2$ $a_c=\frac{9.0}{3.0}=3.0$ $m/s^2$

$a_D=\frac{24.0}{4.0}=6.0$ $m/s^2$ $a_E=\frac{5.0}{5.0}=1.0$ $m/s^2$

$⟹$ $a_D>a_A>a_B>a_c>a_E$