3. A 2.0 kg mass moving in space according to v = (6.0t² + 1.0)î + (7.0t²)j + (t³)k (relative to the origin), with v in meter/second and t in seconds. At t =1s (a) what are the magnitude and direction of the force acting on the mass relative to the x-axis (b) what is the angle between the acceleration and velocity vector (c) what are the magnitude and direction of the average velocity? (d) What is the mass angular momentum vector relative to the origin? (e) What is the torque vector acting on the mass relative to the origin? (f) WNhat is the work done by this force from t = 0 s tot= 1.0 s? (g) What is the instantaneous power at t = 1.0 s.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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3.
A 2.0 kg mass moving in space according to v = (6.0t² + 1.0)î + (7.0t²)j + (t³)k
(relative to the origin), with v in meter/second and t in seconds. At t =1 s (a) what are the
magnitude and direction of the force acting on the mass relative to the x-axis (b) what is the
angle between the acceleration and velocity vector (c) what are the magnitude and
direction of the average velocity? (d) What is the mass angular momentum vector relative to
the origin? (e) What is the torque vector acting on the mass relative to the origin? (f) WWhat
is the work done by this force from t = 0 s tot = 1.0 s? (g) What is the instantaneous power
at t = 1.0 s.
Transcribed Image Text:3. A 2.0 kg mass moving in space according to v = (6.0t² + 1.0)î + (7.0t²)j + (t³)k (relative to the origin), with v in meter/second and t in seconds. At t =1 s (a) what are the magnitude and direction of the force acting on the mass relative to the x-axis (b) what is the angle between the acceleration and velocity vector (c) what are the magnitude and direction of the average velocity? (d) What is the mass angular momentum vector relative to the origin? (e) What is the torque vector acting on the mass relative to the origin? (f) WWhat is the work done by this force from t = 0 s tot = 1.0 s? (g) What is the instantaneous power at t = 1.0 s.
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