Question

An object has an acceleration of 12.0 m/s/s. The net force acting on the object is quadrupled (increased by a factor of four) while the mass of the object is held constant. What will be the new acceleration

Answer 1

Answer:

Explanation:

It doesn't look like you have enough information. What you do in that case is to use a known mass.

m = 4

a = 12.0 m/s^2

F = m * a

F = 4 * 12

F = 48 N

Now you multiply the force by 4 and solve for a. The mass is left at 4

F = 48*4

F = 192

F = 192

m = 4

a = ?

192 = 4 * a             Divide by 4

192/4 = a

a = 48 m/s^2

Answer 2

Hi there!

By Newton's Second Law:

$\Sigma F = ma$

Where:

m = mass (kg)

a = acceleration m/s/s

F = net force (N)

There is a direct relationship between acceleration and force, so:

4F = 4ma = m(4a)

The new acceleration will also be quadrupled, so:

4(12) = 48 m/s/s