(d) A force of 8 N gives a mass m1 an acceleration of 8 m/s2 and a mass m2, an
acceleration of 24 m/s2. What acceleration would it give, if both the masses are
tied together?
Answers
In the above Question , the following information is given -
A force of 8 N gives a mass m1 an acceleration of 8 m/s² .
The same force gives a mass m2 an acceleration of 24 m/s².
To find -
Find the acceleration when the same force is applied on both the masses tied together .
Solution -
Here , the magnitude of the force applied is 8 N .
Case 1 -
A force of 8 N gives a mass m1 an acceleration of 8 m/s² .
We know that -
Force = Mass × Acceleration
Here , let us assume that the first mass is M .
=> 8 = M × 8
=> M = 1 kg .
Case 2 -
A force of 8 N gives a mass m2 an acceleration of 24 m/s² .
We know that -
Force = Mass × Acceleration
Here , let us assume that the second mass is m .
=> 8 = m × 24
=> m = [ ⅓ ] kg .
Now ,
Sum of Masses -
=> M + m
=> 1 + ⅓ kg
=> [ 4 / 3 ] kg
Now ,
Force = Mass × Acceleration
=> 8 = [ 4 / 3 ] A
=> Acceleration of the new body = 6 m / s² .
_________________________________________________
Answer:
In the above Question , the following information is given -
A force of 8 N gives a mass m1 an acceleration of 8 m/s² .
The same force gives a mass m2 an acceleration of 24 m/s².
To find -
Find the acceleration when the same force is applied on both the masses tied together .
Solution -
Here , the magnitude of the force applied is 8 N .
Case 1 -
A force of 8 N gives a mass m1 an acceleration of 8 m/s² .
We know that -
Force = Mass × Acceleration
Here , let us assume that the first mass is M .
=> 8 = M × 8
=> M = 1 kg .
Case 2 -
A force of 8 N gives a mass m2 an acceleration of 24 m/s² .
We know that -
Force = Mass × Acceleration
Here , let us assume that the second mass is m .
=> 8 = m × 24
=> m = [ ⅓ ] kg .
Now ,
Sum of Masses -
=> M + m
=> 1 + ⅓ kg
=> [ 4 / 3 ] kg
Now ,
Force = Mass × Acceleration
=> 8 = [ 4 / 3 ] A
=> Acceleration of the new body = 6 m / s²
Explanation: