(a) At a certain instant, a particle-like object is acted on by aforce F → = (4.0 N) i ^ − (2.0 N) j ^ + (9.0 N) k ^ while the object’s velocity is v → = −(2.0 m/s) i ^ + (4.0 m/s) k ^ . What is the instantaneous rate at which the force does work on the object? (b) At some other time, the velocity consists of only a y component. If the force is unchanged and the instantaneous power is −12 W, what is the velocity of the object?
(a) At a certain instant, a particle-like object is acted on by aforce F → = (4.0 N) i ^ − (2.0 N) j ^ + (9.0 N) k ^ while the object’s velocity is v → = −(2.0 m/s) i ^ + (4.0 m/s) k ^ . What is the instantaneous rate at which the force does work on the object? (b) At some other time, the velocity consists of only a y component. If the force is unchanged and the instantaneous power is −12 W, what is the velocity of the object?
(a) At a certain instant, a particle-like object is acted on by aforce
F
→
= (4.0 N)
i
^
− (2.0 N)
j
^
+ (9.0 N)
k
^
while the object’s velocity is
v
→
= −(2.0 m/s)
i
^
+ (4.0 m/s)
k
^
. What is the instantaneous rate at which the force does work on the object? (b) At some other time, the velocity consists of only a y component. If the force is unchanged and the instantaneous power is −12 W, what is the velocity of the object?
A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
What are the expected readings of the ammeter and voltmeter for the circuit in the figure below? (R = 5.60 Ω, ΔV = 6.30 V)
ammeter
I =
simple diagram to illustrate the setup for each law- coulombs law and biot savart law
Chapter 7 Solutions
Fundamentals of Physics Extended 10E WileyPlus 5 Student Package
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