You visited us 1 times! Enjoying our articles? Unlock Full Access!

Work Energy Theorem

A particle mo...

Question

A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by the particle as shown in the figure. The kinetic energy of the particle after it has travelled $3 m$ is

6.5 J

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2.5 J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $6.5 J$
According to Work Energy Theorem,
Work done by force on the particle $=$ Change in $K E$
Work done $=$ Area under $F - x$ graph
$= \int F . d x$
$= 2 \times 2 + \frac{(2 + 3) \times 1}{2} = 6.5 J$
$W = K E_{f i n a l} - K E_{i n i t i a l} = 6.5 J$
$K E_{i n i t i a l} = 0$
$∴ K E_{f i n a l} = 6.5 J$

Suggest Corrections

Similar questions

3 m

F

x

x = 0

25 J

x = 16 m

y -

O

y = 20 t - t^{2}

t

k =

4 t^{2}

x_{0}

\sqrt{\frac{2 F_{0} x_{0}}{m}}

4 x_{0}

Join BYJU'S Learning Program