The only force acting on a 2.5 kg body as it moves along the positive x axis has an x component Fx = -7x N, where x is in meters. The velocity of the body at x = 2.6 m is 8.5 m/s.

(a) What is the velocity of the body at x = 3.3 m?
(b) At what positive value of x will the body have a velocity of 2.8 m/s?

v = 5.69 m/s

x = 4.43 m

Explanation:

Mass of the body m = 2.5 kg

force acting on the body = - 7 x N

From the Newton's second Law;

; Then:

Integrating on both sides ; we have :

where; k is the integral constant ;

At x = 2.6 m speed is 8.5 m/s

Then;

However:

a)

At x = 3.3 m; speed of the object

b)

speed of the body is 2.8 m/s; then

if the forces acting on an object are unbalanced, the object will accelerate in the direction of the net force on the object.

explanation:

this is best explained by having an understanding of newton's second law, which states that f=ma. you see, when the forces are unbalanced, net force (sum of all forces) is not zero. therefore making it necessary for the object to have an acceleration in the direction of the net force.