Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 2010
Exam
JEE Main
Year
2010
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

JEE Main 2010 · Physics · Center of Mass, Momentum and Collision

The figure shows the position - time (x-t) graph of one-dimensional...

The figure shows the position - time (x−t)(x-t) graph of one-dimensional motion of a body of mass 0.4 kg0.4 \mathrm{~kg}. The magnitude of each impulse is The figure shows the position - time (x-t) graph of one-dimensional motion of a body of mass 0.4 ~kg . The magnitude of

Options

  1. A0.4Ns0.4 \mathrm{Ns}
  2. B0.8Ns0.8 \mathrm{Ns}
  3. C1.6Ns1.6 \mathrm{Ns}
  4. D0.2Ns0.2 \mathrm{Ns}

Correct answer

B. 0.8Ns0.8 \mathrm{Ns}

Step-by-step solution

From the graph, it is a straight line so, uniform motion. Because of impulse direction of velocity changes as can be seen from the slope of the graph.  Initial velocity =22=1m/s Final velocity =−22=−1m/sPˉi=0.4N−sP‾i=−0.4N−sJ→=P‾i−P‾i=−0.4−0.4=−0.8N−s(J→= impulse )∣J→∣=0.8N−s\begin{aligned} \text{ Initial velocity }=\frac{2}{2}=1 \mathrm{ m}/ \mathrm{s}\\ \text{ Final velocity }=-\frac{2}{2}=-1 \mathrm{ m}/ \mathrm{s}\\ & \qquad \bar{P}_{\mathrm{i}}=0.4 \mathrm{ N}-\mathrm{s}\\ & \qquad \overline{\mathrm{P}}_{\mathrm{i}}=-0.4 \mathrm{ N}-\mathrm{s}\\ \overrightarrow{\mathrm{J}}=\overline{\mathrm{P}}_{\mathrm{i}}-\overline{\mathrm{P}}_{\mathrm{i}}=-0.4-0.4=-0.8 \mathrm{ N}-\mathrm{s}(\overrightarrow{\mathrm{J}}=\text{ impulse })\\ & |\overrightarrow{\mathrm{J}}|=0.8 \mathrm{ N}-\mathrm{s} \end{aligned}
Practice Center of Mass, Momentum and Collision on Quantrex Academy →

More from Center of Mass, Momentum and Collision

Two identical bodies A and B of equal masses have initial velocities v_1 = 4 i m/s and… JEE Main 2026The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect… JEE Main 2026Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which… JEE Main 2026The position of an object having mass 0.1 kg as a function of time t is given as r =… JEE Main 2026A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses… JEE Main 2026In a perfectly inelastic collision, two spheres made of the same material with masses 15… JEE Main 2026Given below are two statements : Statement I : For a mechanical system of many particles… JEE Main 2026In a scattering experiment, a particle of mass 2 m collides with another particle of mass… JEE Advanced 2025 Full Center of Mass, Momentum and Collision list All JEE Main PYQs