d. The force is doubled and the object’s mass is halved? 18. ||| A man pulling an empty wagon causes it to accelerate at 1.4 m/s2. What will the acceleration be if he pulls with the same force when the wagon contains a child whose mass is three times that of the wagon?

Respuesta :

Answer:

[tex]a' = 0.35 m/s^2[/tex]

Explanation:

Let say the empty wagon has mass "M"

now by newton's II Law we will have

[tex]F = Ma[/tex]

now it is given that empty wagon is pulled with acceleration 1.4 m/s/s

now we will have

[tex]F = 1.4 M[/tex]

now a child of mass three times the mass of wagon is sitting on the empty wagon

so here we have

[tex]F = (M + 3M) a[/tex]

[tex]1.4 M = 4M a'[/tex]

so we have

[tex]a' = 0.35 m/s^2[/tex]