WB JEE 2023 | Work Power & Energy Question 5 | Physics

A train is moving along the tracks at a constant speed u. A girl on the train throws a ball of mass m straight ahead along the direction of motion of the train with speed $$\mathrm{v}$$ with respect to herself. Then

Kinetic energy of the ball as measured by the girl on the train is $$\mathrm{mv}^{2} / 2$$.

Work done by the girl in throwing the ball is $$ \mathrm{mv}^{2} / 2$$.

Work done by the train is mvu.

The gain in kinetic energy of the ball as measured by a person standing by the rail track is $$\mathrm{mv}^{2} / 2$$.

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MCQ (More than One Correct Answer)

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A particle is moving in x-y plane according to $$\overrightarrow r = b\cos \omega t\widehat i + b\sin \omega t\widehat j$$, where $$\omega$$ is constant. Which of the following statement(s) is/are true?

$${E \over \omega }$$ is a constant where E is the total energy of the particle.

The trajectory of the particle in x-y plane is a circle.

In a_x - a_y plane, trajectory of the particle is an ellipse (a_x, a_y denotes the components of acceleration)

$$\overrightarrow a = {\omega ^2}\overrightarrow v $$

WB JEE 2021

MCQ (More than One Correct Answer)

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The potential energy of a particle of mass 0.02 kg moving along X-axis is given by V = Ax (x $$-$$ 4) J, where x is in metre and A is a constant. Which of the following statements is/are correct?

The particle is acted upon by a constant force.

The particle executes simple harmonic motion.

The speed of the particle is maximum at x = 2 m.

The period of oscillation of the particle is $${\pi \over 5}sec$$.

Questions Asked from MCQ (Multiple Correct Answer)

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