Question

b) An object of mass 16 kg is moving with an acceleration of 3 m/s2 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:

m=16kg,a=3m/s

2

F=m×a

F=16×3=48N

Now , F = 48 N , m = 24 kg

F=m×a

48=24×a

a=2m/s

2

Answer 2

Answer:

48 N and 2m/s²

Explanation:

As per the provided information in the given question, we have:

• Mass of the object is 16 kg.
• Acceleration of the object is 3 m/s².
• Mass of the second object is 24 kg.

We've been asked to calculate the applied force and the acceleration of the second object.

$\qquad\qquad$ » Let us calculate the applied force on the first object. Now, according to the question the mass of the first object is 16 kg and it's acceleration is 3 m/s². The force applied on an object is the product of the mass and acceleration of the object. So,

$\twoheadrightarrow\quad\sf{Force=Mass\times Acceleration}$

Substitute the value of mass and acceleration of the object for performing multiplication.

$\twoheadrightarrow\quad\sf{Force=16\times 3}$

Performing multiplication in order to calculate the force of the object.

$\twoheadrightarrow\quad\underline{\boxed{\pmb{\frak{Force=48\: N}}}}$

Now, we'll be calculating the acceleration of the second object. Using the same formula of the force for calculating the acceleration.

$\twoheadrightarrow\quad\sf{Force=Mass\times Acceleration}$

Now, according to the question the same force is applied on the second object that was applied on the first object. The mass of the second object is given as 24 kg. So,

$\twoheadrightarrow\quad\sf{48=24\times Acceleration}$

Transposing 24 from RHS to LHS. It's arithmetic operator will get change.

$\twoheadrightarrow\quad\sf{\dfrac{48}{24}=Acceleration}$

Performing the division in order to calculate the acceleration.

$\twoheadrightarrow\quad\underline{\boxed{\pmb{\frak{Acceleration=2\: m/{s}^{2}}}}}$

❝ Therefore, the force of the object is 48 N and the acceleration of the second object is 2m/s². ❞