A Curious Question

Q. If force $\overrightarrow{F}=y\hat{i}+x\hat{j}$ acting on a particle then find the work done in moving the particle from position $(2,3)$ to $(5,6)$

1. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $18\text{J}$
2. $24\text{J}$
3. $30\text{J}$
4. $36\text{J}$

Q. An object is displaced from position vector $\overrightarrow{r_1}=(2\hat{i}+3\hat{j})$ $\text{m}$ to $\overrightarrow{r_2}=(4\hat{i}+6\hat{j})$$\text{m}$ under a force $\overrightarrow{F}=(3x^2\hat{i}+2y\hat{j})$ $\text{N}$. Find the work done.

1. $83\text{J}$
2. $38\text{J}$
3. $-38\text{J}$
4. $-83\text{J}$

Q. An object is displaced from position vector $\overrightarrow{r_1}=(2\hat{i}+3\hat{j})$ $\text{m}$ to $\overrightarrow{r_2}=(4\hat{i}+6\hat{j})$$\text{m}$ under a force $\overrightarrow{F}=(3x^2\hat{i}+2y\hat{j})$ $\text{N}$. Find the work done.

1. $83\text{J}$
2. $38\text{J}$
3. $-83\text{J}$
4. $-38\text{J}$

Q. An object is displaced from position vector $\overrightarrow{r_1}=(2\hat{i}+3\hat{j})$ $\text{m}$ to $\overrightarrow{r_2}=(4\hat{i}+6\hat{j})$$\text{m}$ under a force $\overrightarrow{F}=(3x^2\hat{i}+2y\hat{j})$ $\text{N}$. Find the work done.

1. $-38\text{J}$
2. $38\text{J}$
3. $83\text{J}$
4. $-83\text{J}$

Q. An object is displaced from position vector $r_1$=(2i+3j)m to $r_2$=(4i+6j)m under the action of a force F=(3$x^2$i+2yj)N. Finf the work done by this force.

Q. An object is displaced from position vector $\overrightarrow{r_1}=(2\hat{i}+3\hat{j})$ $\text{m}$ to $\overrightarrow{r_2}=(4\hat{i}+6\hat{j})$$\text{m}$ under a force $\overrightarrow{F}=(3x^2\hat{i}+2y\hat{j})$ $\text{N}$. Find the work done.

1. $83\text{J}$
2. $38\text{J}$
3. $-83\text{J}$
4. $-38\text{J}$