Question

A force acts on an object of 4kg to produce an
acceleration of 3 m/s2. If the same force acts
on an object of 6 kg, the acceleration produced
is_m/s2​

Answer 1

Answer:

• Acceleration produced in the object of mass 6 kg = 2 m/s²

Explanation:

Given that,

when a force is applied on an object of mass 4 kg, then acceleration produced is 3 m/s²

We need to find,

the Acceleration produced when the same force will act on an object of mass 6 kg.

As we know by Newton's Second Law of the motion

• Force = mass × acceleration

So, Let a force F is acting on an object of mass 4 kg to produce an acceleration of 3 m/s².

then, Using Newton's second law of motion

→ F = 4 × 3

→ F = 12 N

Now, Let same force ( same force of F = 12 N ) acts on an object of mass 6 kg, to produce an acceleration 'a'.

then, Using Newton's second law of motion

→ 12 = 6 × a

→ a = 12 / 6

→ a = 2 m/s²

Therefore,

• The acceleration produced in the object of mass 6 kg would be 2 m/s².

Answer 2

Answer:

Given

M1= 4kg

a2 = 3m/sec²

M2= 6 kg

to find

Acceleration (a2)

solution

★according to Newton's second law of motion:

$\fbox{f = m.a}$

put the value in the above formula-

➠f= 4x 3

➠f= 12 N

❐ So, 12N of force is required to move a body of mass 4 kgs with an acceleration of 3m/sec².

❥ f= M2 x a2

➠12= 6 x a2

➠a2= 12/6

➠a2 = 2 m/sec²

❐ so, acceleration of 2m/sec² is required to move an object of mass 6 kgs with a force of 12 N.