Answer:
[tex]\large\boxed{\large\boxed{\frac{a_1}{a_2}=1.2}}[/tex]
Explanation:
Newton's second law states the the net force exerted over a body, [tex]F[/tex], is proportional to the product of its mass, [tex]m[/tex] , and its acceleration, [tex]a[/tex] :
[tex]F=m\times a[/tex]
As a consequence of Newton's third law, action and reaction forces are equal in magnitude and opposite in direction. Hence, 20 N is the same magnitude of the forces over each sibling.
1. Sibling 1:
[tex]20N=50kg\times a_1[/tex]
2. Sibling 2:
[tex]20N=60kg\times a_2[/tex]
3. Ratio sibling 1: sibling 2:
[tex]\frac{20N}{20N} =\frac{50kg\times a_1}{60kg\times a_2}[/tex]
[tex]\frac{a_1}{a_2}=\frac{60}{50}=1.2[/tex]
