A force vec F-3that i-5hat j-N acts on a body due to which its displacement varies as vec S-2t-2hat i-5hat j-m- Work done by this force in 2 second is32 J24 J46 J20 J

Question

Toppr Admin · Accepted Answer

-x2192-v-d-x2192-Sdt-4t-iP-x2192-F-x22C5-x2192-v-12t2-x2234-W-x222B-20Pdt-x222B-20-12-t2dt-32J-

A force $\to F = (3 t^i + 5^j)$ N acts on a body due to which its displacement varies as $\to S = (2 t^{2}^i - 5^j) m$ . Work done by this force in $2$ second is
32 J
24 J
46 J
20 J

$\to v = \frac{d \to S}{d t} = (4 t)^i$

$P = \to F \cdot \to v = 12 t^{2}$

$∴ W = \int_{0}^{2} P d t = \int_{0}^{2} (12) t^{2} d t = 32 J$ .

A force →F=(3t^i+5^j)N acts on a body due to which its displacement varies as →S=(2t2^i−5^j)m. Work done by this force in 2 second is32 J24 J46 J20 J

→v=d→Sdt=(4t)^iP=→F⋅→v=12t2∴W=∫20Pdt=∫20(12)t2dt=32J.

A force $\to F = (3 t^i + 5^j)$ N acts on a body due to which its displacement varies as $\to S = (2 t^{2}^i - 5^j) m$ . Work done by this force in $2$ second is
32 J
24 J
46 J
20 J

$\to v = \frac{d \to S}{d t} = (4 t)^i$

$P = \to F \cdot \to v = 12 t^{2}$

$∴ W = \int_{0}^{2} P d t = \int_{0}^{2} (12) t^{2} d t = 32 J$ .