Question

26. A certain force applied to a body A gives it an acceleration of 10 ms 2. The same force applied to body B gives it an acceleration of 15 ms 2. If the two bodies are joined together and the same force is applied to the combination, the acceleration will be​

Answer 1

Answer:

6ms  

−2

Explanation:

Given,

Acceleration of mass M  

1

​

 (when force F applied) a  

1

​

=10m/s  

2

 

Acceleration of mass M  

2

​

 (when force F applied) a  

2

​

=15m/s  

2

 

M  

1

​

=  

a  

1

​

 

F

​

=  

10

F

​

&M  

2

​

=  

a  

2

​

 

F

​

=  

15

F

​

 

When both masses are combined

For combine mass M  

total

​

=M  

1

​

+M  

2

​

 ,  Force =F & acceleration a  

total

​

 

F=M  

total

​

a  

total

​

 

F=(  

10

F

​

+  

15

F

​

)a  

total

​

=  

6

Fa  

total

​

 

​

 

a  

total

​

=6m/s  

2

 

Combine mass acceleration is 6m/s  

2