Answer:
Selected answers A) and D)
Explanation:
Acceleration
According to the Newton's second law of motion, the acceleration of an object is directly proportional to the net force F and inversely proportional to the object's mass:
[tex]\displaystyle a=\frac{F}{m}[/tex]
We are given four situations, let's compute the acceleration on each case.
A) The block A has a mass of m=5 kg and a net force of F=20 N. The acceleration is:
[tex]\displaystyle a=\frac{20}{5}=4\ m/s^2[/tex]
This option must be selected because the acceleration is the same as the option D. Correct option A
B) The block B has a mass of m=10 kg and a net force of F=25 N. The acceleration is:
[tex]\displaystyle a=\frac{25}{10}=2.5\ m/s^2[/tex]
No other option has this value of acceleration, so this option is not correct.
C) The block C has a mass of m=20 kg and a net force of F=100 N. The acceleration is:
[tex]\displaystyle a=\frac{100}{20}=5\ m/s^2[/tex]
No other option has this value of acceleration, so this option is not correct.
D) The block D has a mass of m=20 kg and a net force of F=80 N. The acceleration is:
[tex]\displaystyle a=\frac{80}{20}=4\ m/s^2[/tex]
This option must be selected because the acceleration is the same as the option A. Correct option D
