Question

ADp Sto A 15.00 kg particle starts from the origin at time zero. Its velocity as a function of time is given by -oi+4d where V is in meters per second and t is in seconds. (Use the following as necessary: t.) (a) Find its position as a function of time. F31+221 (b) Describe its motion qualitatively. This answer has not been graded yet. (c) Find its acceleration as a function of time. a6r1+4rj x m/s (d) Find the net force exerted on the particle as a function of time. F-3+24Ay+16 2 x Your ansiwer cannot be understood or graded. More Information N (e) Find the net torque about the origin exerted on the particle as a function of time. N m () Find the angular momentum of the particle as a function of time.

Answer 1

c)

a = dv/dt = 18 t i + 4 j

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d)

F = ma = 1500 * ( 18 t i + 4 j) = 27000t i + 6000 j

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e) T = F × r

T = (27000 t i + 6000 j) × ( 3 t^3 i + 2t^2 j)

T = (36000 t^3) k

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f)

L = m ( v × r)

L = 1500 ( 18 t^4 - 12 t^4) k

L = 9000 t^4 k

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