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Impulse and Momentum question

2024 · Shift 1 · Q38
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  5. /2024 · Shift 1 · Q38

Impulse and Momentum question

2024 · Shift 1 · Q38

JEE AdvancedPhysicsImpulse and MomentumMCQ+3 / −1
A block of mass 5 kg5 \mathrm{~kg}5 kg moves along the xxx-direction subject to the force F=(−20x+10)NF=(-20 x+10) \mathrm{N}F=(−20x+10)N, with the value of xxx in metre. At time t=0 st=0 \mathrm{~s}t=0 s, it is at rest at position x=1 mx=1 \mathrm{~m}x=1 m. The position and momentum of the block at t=π4st={\pi \over 4} \mathrm{s}t=4π​s are
  1. A
    −0.5 m,5 kg m/s-0.5 \mathrm{~m}, 5 \mathrm{~kg} \mathrm{~m} / \mathrm{s}−0.5 m,5 kg m/s
  2. B
    0.5 m,0 kg m/s0.5 \mathrm{~m}, 0 \mathrm{~kg} \mathrm{~m} / \mathrm{s}0.5 m,0 kg m/s
  3. C
    0.5 m,−5 kg m/s0.5 \mathrm{~m},-5 \mathrm{~kg} \mathrm{~m} / \mathrm{s}0.5 m,−5 kg m/s
  4. D
    −1 m,5 kg m/s-1 \mathrm{~m}, 5 \mathrm{~kg} \mathrm{~m} / \mathrm{s}−1 m,5 kg m/s
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