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Question
A 2 kg toy car can move along an x-axis. Graph shows force Fx acting on the car which begins at rest at time t=0. The velocity of the particle at t=10 s is:
A 2 kg toy car can move along an x-axis. Graph shows force Fx acting on the car which begins at rest at time t=0. The velocity of the particle at t=10 s is:
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Solution
The correct option is D 6.5i m/s
As we know, F=dpdt
dp=pf-pi= Fdt=Area under the curve
Net Area (up to 10 s)
=12×8×4-12×1×2-(1×2)
mvf-vi=16-1-2=13 kg m/s
As initially particle is at rest, vi=0
vf=132=6.5i m/s
[As momentum is positive, particle is moving along positive x-axis.]
Final answer: (c)
As we know, F=dpdt
dp=pf-pi= Fdt=Area under the curve
Net Area (up to 10 s)
=12×8×4-12×1×2-(1×2)
mvf-vi=16-1-2=13 kg m/s
As initially particle is at rest, vi=0
vf=132=6.5i m/s
[As momentum is positive, particle is moving along positive x-axis.]
Final answer: (c)
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