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A particle of mass m is subjected to a net force (t) given by (t) that is, F(t) equals Fo at t = 0 and decreases linearly to zero in time T. The particle passes the origin x = 0 with velocity . Show that at the instant t = T that F(t) vanishes, the speed v and distance x traveled are given by v(T) and x(T) , where is the initial acceleration. Compare these results with Eqs. 2-26 and 2-28.

A particle of mass m is subjected to a net force (t) given by (t)  that is, F(t) equals Fo at t = 0 and decreases linearly to zero in time T. The particle passes the origin x = 0 with velocity . Show that at the instant t = T that F(t) vanishes, the speed v and distance x traveled are given by v(T)  and x(T) , where is the initial acceleration. Compare these results with Eqs. 2-26 and 2-28.

Grade:10

1 Answers

Jitender Pal
askIITians Faculty 365 Points
8 years ago
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Therefore the force experienced by the particle at t = T is zero .
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Therefore, the velocity matches the magnitude of velocity calculated above.
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Therefore, the position matches the magnitude of position calculated above

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