Question

(Ans! 6 m/s)
b) An object of mass 16 kg is moving
&
with an acceleration of 3 m/s?
Calculate the applied force. If the
same force is applied on an object of
mass 24 kg, how much will be the
acceleration? (Ans: 48 N, 2 m/s2)​

Answer 1

Answer:-

$\green{\bigstar}$Force applied on the object is 48 N

$\green{\bigstar}$Acceleration produced = 2 m/s²

• Given :-

Mass of the object = 16 kg

Acceleration = 3 m/s²

• To Find :-

Value of the applied force = ?

Acceleration when the same force is applied on object of mass 24 kg = ?

• Solution:-

We know,

$\pink{\bigstar}$$\boxed{\sf{Force [F] = mass [m] \times acceleration [a]}}$

here,

Mass of the object [m] = 16 kg

Acceleration [a] = 3 m/s²

$\boxed{\sf{ F = ma}}$

→ F = 16 kg x 3 m/s²

→ Force = 48 kg*m/s²

We know,

→ 1 kg*m/s² = 1 N

Therefore,

→ Force [F] = 48 N

Hence,

• Force applied on the object is 48 N

Also

When,

Mass of the object = 24 kg

Force applied = 48 N

Using the formula:-

$\pink{\bigstar}$$\sf{ Acceleration [a] = \dfrac{ Force [F] }{ Mass [m]}}$

→ Acceleration [a] = $\dfrac{48}{24}$

→ Acceleration [a] = 2 m/s²

Therefore,

• Acceleration produced = 2 m/s²

Answer 2

Given : $\large m = 16kg, a = 3 m/s^{2}$

To find : acceleration and Force

Formula used = $\large F = ma$

Solution= $\large F = 16 × 3 = 48$

Now, F = 48N and m = 24 kg

$\large F = ma$

$\large 48 = 24×a$

$\large a = 2m/s ^{2}$