QJEEM22Phdcb1: JEE Main 2022 Physics - Class 11 JEEM22Phdcb1 Solution: A particle experiences a variable force F → = ( 4 x i ^ + 3 y 2 …

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QJEEM22Phdcb1: JEE Main 2022 Physics - Class 11 JEEM22Phdcb1 Solution: A particle experiences a variable force F → = ( 4 x i ^ + 3 y 2 …

A particle experiences a variable force $\vec{F} = (4 x \hat{i} + 3 y^{2} \hat{j})$ in a horizontal x-y plane. Assume distance in meters and force is newton. If the particle moves from point (1, 2) to point (2, 3) in the x-y plane, then Kinetic Energy changes by :

Multiple Choice Options

A 50.0 J
B 12.5 J
C 25.0 J
D 0 J

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Accepted Answer

$W = \int \vec{F} . d \vec{r}$

$= \int_{1}^{2} 4 x d x + \int_{2}^{3} 3 y^{2} d y$

$= [2 x^{2}]_{1}^{2} + [y^{3}]_{2}^{3}$

$= 2 \times 3 + (27 - 8)$

$= 25$ J

QJEEM22Phdcb1: JEE Main 2022 Physics - Class 11 JEEM22Phdcb1 Solution: A particle experiences a variable force F → = ( 4 x i ^ + 3 y 2 …

Multiple Choice Options

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