Q 1 :    

A body of mass 4 kg experiences two forces ${\overrightarrow{F}}_1=5\hat{i}+8\hat{j}+7\hat{k}$ and ${\overrightarrow{F}}_2=3\hat{i}-4\hat{j}-3\hat{k}$. The acceleration acting on the body is                  [2024]

• $-2\hat{i}-\hat{j}-\hat{k}$

   

• $4\hat{i}+2\hat{j}+2\hat{k}$

   

• $2\hat{i}+\hat{j}+\hat{k}$

   

• $2\hat{i}+3\hat{j}+3\hat{k}$

   

Q 2 :    

A wooden block, initially at rest on the ground, is pushed by a force that increases linearly with time t. Which of the following curves best describes the acceleration of the block with time?        [2024]

Q 3 :    

A block of mass 1 kg, moving along x with speed $v_i$ = 10 m/s enters a rough region ranging from x = 0.1 m to x = 1.9 m. The retarding force acting on the block in this range is $F_r$ = – kx N, with k = 10 N/m. Then the final speed of the block as it crosses rough region is          [2025]

• 10 m/s

   

• 4 m/s

   

• 6 m/s

   

• 8 m/s

   

Q 4 :    

An object with mass 500 g moves along x-axis with speed $v=4\sqrt{x}\mathrm{m}/\mathrm{s}$. The force acting on the object is :          [2025]

• 8 N

   

• 5 N

   

• 6 N

   

• 4 N

   

Q 5 :    

A body of mass 2 kg moving with velocity of ${\overrightarrow{v}}_{in}=3\hat{i}+4\hat{j} {\mathrm{ms}}^{–1}$ enters in to a constant force field of 6 N directed along positive z-axis. If the body remains in the field for a period of $\frac{5}{3}$ seconds, then velocity of the body when it emerges from force field is         [2025]

• $4\hat{i}+3\hat{j}+5\hat{k}$

   

• $3\hat{i}+4\hat{j}+5\hat{k}$

   

• $3\hat{i}+4\hat{j}–5\hat{k}$

   

• $3\hat{i}+4\hat{j}+\sqrt{5}\hat{k}$