Question

An object has an acceleration of 18.0 m/s/s. If the net force was doubled and the mass were tripled then the new acceleration would be

Answer 1

Answer:

12.0 m/s²

Explanation:

Newton's second law:

F = ma

Solving for acceleration:

a = F/m

If force is doubled and mass is tripled:

a' = (2F)/(3m)

a' = ⅔ (F/m)

a' = ⅔ (18.0 m/s²)

a' = 12.0 m/s²

Answer 2

The new value of acceleration of object is 12 m/s².

Given data:

The magnitude of acceleration of object is, $a =18 \;\rm m/s^{2}$.

Let F be initial net force and m be the initial mass. Then as per the problem, the new values of each are,

F' = 2F

m' = 3m

Apply the Newton's Second law, which says that the product of mass and acceleration of object given net force. Then,

F = ma

F = m(18)

F/m = 18 .................................................(1)

Now, for new value of net force,

F' = m'a'

2F = (3m) a'

2F/3m = a'

a' =2/3× (18)                                                   (From equation 1)

a' = 12 m/s²

Thus, we can conclude that the new value of acceleration of object is 12 m/s².

Learn more about the Newton's second law here:

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