Question

. A force of 50N gives a mass m
1

an acceleration of 10 m/sec
^2

and mass m
2

an acceleration of 20 m/

sec
^ 2

. What acceleration would it give if both the mases were tied together :​

Answer 1

Answer:

Using Newton's second law,

F = m a

5 = M1 × 10

M1 = 5/10 = 0.5 kg

And

5 = M2 × 20

M2 = 5/20 = 0.25 kg

Total mass = 0.5 + 0.25 = 0.75 kg

Now as per question,

Let common acceleration is a,

F = (M1 +M2) ×a

5 = 0.75 × a

a = 5/0.75 =500/75 = 6.67 m/s²

Explanation:

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Answer 2

Answer:

6.66 m/s^2

Explanation:

For m1 , Force (F) = 50 N and acceleration (a1) = 10 m/s^2 , and we know Force = Mass × Acceleration -(A) ,

so Mass (m1) = Force (F) / acceleration (a1) ,

and m1 = 50 N / 10 m/s^2

=> m1= 5 Kg

similarly, m2= 50 N / 20 m/s^2

=> m2=2.5 Kg

Now total mass is ,

let M = 5 Kg + 2.5 Kg

=> M= 7.5 Kg

Now again from equation (A) , we can calculate the acceleration, that is

Acceleration (A)= Force (F)/ Mass (M)

and now for mass = 7.5 Kg and force applying 50 N , we get

Acceleration (A)= 50 N/ 7.5 Kg

=> A= 6.66 m/s^2 (Answer)