Question

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. a mass of M when acted upon by a net force of 2F?b. a mass of 2M when acted upon by a net force of F?c. a mass of 2M when acted upon by a net force of 2F?d. a mass of 4M when acted upon by a net force of 2F?e. a mass of 2M when acted upon by a net force of 4F?

Answer 1

Step-by-step explanation:

a net force of F causes a cart with a mass of M to accelerate at 48 cm/s/s.

F = M x 48

Mass M = F / 48

a )

When force = 2F and mass = M

Acceleration = force / mass

= 2F /F/48

= 48 X 2 = 96 cm/s²

b )

When force = F and mass = 2M

Acceleration = force / mass

= F /2F/48

= 24 cm/s²

c )

When force = 2F and mass = 2M

Acceleration = force / mass

= 2F /2F/48

= 48 cm/s

d )

When force = 2F and mass = 4M

Acceleration = force / mass

= 2F /4F/48

= 24 cm/s

e)

When force = 4F and mass = 2M

Acceleration = force / mass

= 4F / 2M

= 4F / 2 F/48

= 48 x 2

Acceleration = 96 cm/s²