A body of mass 1 kg begins to move under the action of a time dependent force $$F = 2 t$$ $$\hat{i} + 3 t^{2}\ \hat{j}$$ N, where $$\hat{i}$$ and $$\hat{j}$$ are unit vectors along X and Y axis, What power will be developed by the force at the time (t) ?

(a) $$\left(2 t^{2} + 4 t^{4}\right) W$$

(b) $$\left(2 t^{3} + 3 t^{4}\right) W$$

(c) $$\left(2 t^{3} + 3 t^{5}\right) W$$

(d) $$\left(2 t + 3 t^{3}\right) W$$

Subtopic: Â Power |
Â 68%
From NCERT
NEET - 2016
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A body of mass $$1$$ kg begins to move under the action of a time-dependent force $$\vec{F}=\left(2 t \hat{i}+3 t^2 \hat{j}\right)$$ N, where $$\hat{i}$$ and $$\hat{j}$$ are unit vectors along the $$\mathrm{X}$$ and $$\mathrm{Y}$$-axis. What power will be developed by the force at the time ($$t$$)?
1. $$\left(2 t^2+4 t^4\right)$$ W
2. $$\left(2 t^3+3 t^3\right)$$ W
3. $$\left(2 t^3+3 t^5\right)$$ W
4. $$\left(2 t^3+3 t^4\right)$$ W
Subtopic: Â Power |
Â 79%
From NCERT
NEET - 2016
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints