Question

Suppose that an object is accelerating at a rate of 2 m/s². If the net force is tripled and the mass is halved then what is the new acceleration of the object?

Answer 1

Let the net force be F

and the mass be M

and acceleration be a

Now,according to question----

3F=M/2xa

a'=6F/M=6a

Thus the new acceleration becomes 6 times of the first

Hence the new acceleration is 6×2=12m/s²

Answer 2

Given:

• a' = 2m/s²
• Net force is tripled
• Mass is halved

To find:

• new acceleration

Solution:

Let

• Net force be F
• Mass be m
• Acceleration be a

Using Newton's 2nd law

F = m×a

→ F = m × a'

Here, mass is havled and force is tripled

→ 3F = m/2 × a'

→ a' = 6F/m

We know that

F/m = a

→ a' = 6a

Hence, new acceleration becomes 6 times than the first acceleration

♦ a' = 6a

♦ a' = 6(2)

♦ a' = 12

Hence , new acceleration = 12m/s²