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  • A block is placed on a rough horizontal plane. A time dependent horizontal force  acts on the bock, where k is a p

A block is placed on a rough horizontal plane. A time dependent horizontal force F=kt acts on the bock, where k is a positive constant. The acceleration - time graph of the block is : 

Option: 1

 


Option: 2

 


Option: 3

 


Option: 4

 


Answers (1)

best_answer

 

 

 

 

 

As the block is placed on a rough surface there will act static friction on it will attain its maximum value. After that the block will start to slide on the surface with acceleration increasing with time.

1) the equation for the block when it is static \ \left(i.e \ t \leq \frac{\mu m g}{k}\right)

\begin{aligned} &k t=f s\\ &a=0 \end{aligned}

2) After it starts sliding  \left(i.e \ \ \ t>\frac{\mu m g}{k}\right)

\begin{aligned} &k t-\mu m g=a\\ &\frac{d a}{d t}=k \end{aligned}

Option 2 is correct.

 

Posted by

shivangi.bhatnagar

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