A 13.00 kg particle starts from the origin at time zero. Its velocity as a function of time is given by = 10:²1 + 1tj where 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. ŕ= 10 3 i+ (b) Describe its motion qualitatively. The particle starts from rest at the origin, starts moving in the y direction, and gains speed faster and faster while turning to move more and more nearly parallel to the x axis. Score: 0.06 out of 0.06 Comment: (c) Find its acceleration as a function of time. a=20ti + 1j m/s² (d) Find the net force exerted on the particle as a function of time. F= N T= x (e) Find the net torque about the origin exerted on the particle as a function of time. x N-m (f) Find the angular momentum of the particle as a function of time. C- kg-m²/s x

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
Section: Chapter Questions
Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of...
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k
A 13.00 kg particle starts from the origin at time zero. Its velocity as a function of time is given by
= 10t² + 1tj
where is in meters per second and t is in seconds. (Use the following as necessary: t.)
V
(a) Find its position as a function of time.
ŕ=
esc
10/³1 + ²/2 2²;
3
(b) Describe its motion qualitatively.
The particle starts from rest at the origin, starts moving in the y direction, and
gains speed faster and faster while turning to move more and more nearly
parallel to the x axis.
Score: 0.06 out of 0.06
Comment:
(c) Find its acceleration as a function of time.
a = 20ti + lj
m/s²
(d) Find the net force exerted on the particle as a function of time.
F=
T=
(e) Find the net torque about the origin exerted on the particle as a function of time.
N m
X
X
(f) Find the angular momentum of the particle as a function of time.
Ľ
Need Help? Read It
F1
N
x
(g) Find the kinetic energy of the particle as a function of time.
K=
x
kg m²/s
X
(h) Find the power injected into the particle as a function of time.
P =
J
.
W
F2
2.0
F3
d
F4
%
F5
Transcribed Image Text:k A 13.00 kg particle starts from the origin at time zero. Its velocity as a function of time is given by = 10t² + 1tj where is in meters per second and t is in seconds. (Use the following as necessary: t.) V (a) Find its position as a function of time. ŕ= esc 10/³1 + ²/2 2²; 3 (b) Describe its motion qualitatively. The particle starts from rest at the origin, starts moving in the y direction, and gains speed faster and faster while turning to move more and more nearly parallel to the x axis. Score: 0.06 out of 0.06 Comment: (c) Find its acceleration as a function of time. a = 20ti + lj m/s² (d) Find the net force exerted on the particle as a function of time. F= T= (e) Find the net torque about the origin exerted on the particle as a function of time. N m X X (f) Find the angular momentum of the particle as a function of time. Ľ Need Help? Read It F1 N x (g) Find the kinetic energy of the particle as a function of time. K= x kg m²/s X (h) Find the power injected into the particle as a function of time. P = J . W F2 2.0 F3 d F4 % F5
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