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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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Concept explainers

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

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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