Question

1. which object will have a higher acceleration? a 10 kg rock with an applied force of 15 n a 2 kg rock with an applied force of 5 n a 30 kg rock with an applied force of 45 n a 24 kg rock with an applied force of 48 n

Explanation:

Step1: Recall Newton's second - law formula

$F = ma$, so $a=\frac{F}{m}$

Step2: Calculate acceleration for the first option

For a 10 kg rock with $F = 15N$, $a_1=\frac{15}{10}=1.5m/s^{2}$

Step3: Calculate acceleration for the second option

For a 2 kg rock with $F = 5N$, $a_2=\frac{5}{2}=2.5m/s^{2}$

Step4: Calculate acceleration for the third option

For a 30 kg rock with $F = 45N$, $a_3=\frac{45}{30}=1.5m/s^{2}$

Step5: Calculate acceleration for the fourth option

For a 24 kg rock with $F = 48N$, $a_4=\frac{48}{24}=2m/s^{2}$

Answer:

a 2 kg rock with an applied force of 5 N