Question

What net force is required to push a sofa with a mass of 59 kilograms so that it accelerates at 9.75 meters/second2?

(Assume a flat, frictionless surface.)

A.) 6.1 newtons
B.) 59 newtons
C.) 5.8 × 102 newtons
D.) 6.0 × 102 newtons

Answer 1

The formula for finding force is: F = MA, where:
M is the force and A is the acceleration.
F = MA = 59 * 9.75 = 575.35
This can also be written as 5.8 * 10^2 N.
Thus, the correct option is C.

Answer 2

According to Newton's second law, force can be calculated as follows:
Force = m*a where:
m is the mass of the object = 59 Kg
a is the acceleration = 9.75 m/sec^2

Substitute with the givens in the above equation to get the force as follows:
F = 59 * 9.75 = 575.25 Newtons which is approximately equal to 5.8 * 10^2 N

The correct choice is:
C.) 5.8 × 102 newtons