Question

a froce acting on a body of mass7kg produces an acceleration of 10ms-2 the acceleration that the same force will produce in a body of mass 9kg will be

Answer 1

Answer:

7.77m/s^2

Explanation:

Mass=m1=7kg

Mass=m2=9kg

Acceleration=a1=10m/s^2

Acceleration =a2=?

Force =mass *acceleration

F=m1*a1 =m2*a2 (force is same given in question)

7*10=9*a2

a2=70/9m/s^2

Ans = 7.77m/s^2

Answer 2

Provided that:

• Mass = 7 kg
• Acceleration = 10 m/s sq.

Now the question says that,

The acceleration that the same force will produce in a body of mass 9 kg will be

Using concept:

• Force formula

Using formula:

• F = ma

Where, F denotes force, m denotes mass and a denotes acceleration

Required solution:

~ Firstly let us calculate the force!

→ Force = Mass × Acceleration

→ F = m × a

→ F = ma

→ F = 7(10)

→ F = 7 × 10

→ F = 70 N

→ Force = 70 Newton

~ Now as the question says that we have to find out the acceleration if same force is acting on body of mass 9 kg. Therefore,

→ Force = Mass × Acceleration

→ F = m × a

→ F = ma

→ 70 = 9(a)

→ 70 = 9 × a

→ 70/9 = a

→ 7.777 = a

→ a = 7.777 m/s sq.

→ a ≈ 7.777 m/s sq.

→ Acceleration ≈ 7.8 m/s sq.

Therefore, the acceleration that the same force will produce in a body of mass 9 kg will be 7.8 m/s sq. $\:$