What net force is required to push a sofa with a mass of 59 kilograms so that it accelerates at 9.75 meters/secondÆ? (Assume a flat, frictionless surface.)
A. 6.1 Newtons
B. 59 Newtons
C. 5.8 x 10^2 newtons
D. 6.0 x 10^2 newtons

Respuesta :

Answer : [tex]F=5.8\times 10^2\ Newtons[/tex] amount of force is required to push a sofa.

Explanation :

It is given that,

The mass of sofa, m = 59 kg

Acceleration, [tex]a=9.75\ m/s^2[/tex]

According to Newton's second law of motion :

F = ma

m is the mass and a is the acceleration produced.

[tex]F=59\ kg\times 9.75\ m/s^2[/tex]

F = 575.25 Newtons

[tex]F=5.75\times 10^2\ Newtons[/tex]

or

[tex]F=5.8\times 10^2\ Newtons[/tex]

Hence, this is the required solution.