Anna Litical and Noah Formula are experimenting with the effect of mass and net force upon the acceleration of a lab cart. They determine that a net force of F causes a cart with a mass of M to accelerate at 48 cm/s/s. What is the acceleration value of a cart with a mass of 2M when acted upon by a net force of 2F?

c. 48 cm/s/s

Explanation:

Anna Litical and Noah Formula are experimenting with the effect of mass and net force upon the acceleration of a lab cart. They determine that a net force of F causes a cart with a mass of M to accelerate at 48 cm/s/s. What is the acceleration value of a cart with a mass of 2M when acted upon by a net force of 2F?

from newtons second law of motion,

which states that change in momentum is directly proportional to the force applied.

we can say that

f=m (v-u) / t

a=acceleration

t=time

v=final velocity

u=initial velocity

since a = (v-u) / t

f=m*a

force applied is F

m = mass of the object involved

a is the acceleration of the object involved

f=m*48 ... 1

in the second case; a mass of 2M when acted upon by a net force of 2F

f=ma

a=2F/2M

substituting equation 1

a=2 (M*48) / 2M

a=. 48 cm/s/s