1. Homework Statement
Three point charges lie along the x axis. A positive charge q1=16.0mC is at x=2.00m. Another positive charge q2=9.00mC is at the origin.
Where should we put a third charge so the resultant force acting on it is zero?
What should be the sign of the charge?
2...
1. Homework Statement
A straight piece of conducting wire with mass M and length L is placed on a frictionless incline tilted at an angle theta from the horizontal. There is a uniform, vertical magnetic field vecB at all points (produced by an arrangement of magnets not shown in the...
1. Homework Statement
A wire carrying a 27.0A current bends through a right angle. Consider two 2.00mm segments of wire, each 3.00cm from the bend.
Find the magnitude of the magnetic field these two segments produce at point P, which is midway between them.
2. Homework Equations...
1. Homework Statement
A beam of protons traveling at 1.20 km/s enters a uniform magnetic field, traveling perpendicular to the field. The beam exits the magnetic field, leaving the field in a direction perpendicular to its original direction. The beam travels a distance of 1.30 cm while in...
hey all,
i've recently been given an assignment of special relativity, the question is as follows:-
Topic B: SPECIAL RELATIVITY
Write a short report on any experiment, published in the literature (ie journals), which proves or depends on a relativistic effect. Include essential experimental...
1. Homework Statement
The rotor (flywheel) of a toy gyroscope has mass 0.140 kilograms. Its moment of inertia about its axis is 1.20x10^{-4} kilogram meters squared. The mass of the frame is 0.0250 kilograms. The gyroscope is supported on a single pivot with its center of mass a horizontal...
1. Homework Statement
A spring-loaded toy gun is used to shoot a ball of mass m= 1.50kg straight up in the air, as shown in the figure. The spring has spring constant k = 667N/m. If the spring is compressed a distance of 25.0 centimeters from its equilibrium position y=0 and then released, the...
1. Homework Statement
A block of ice with mass 2.00kg slides 0.750m down an inclined plane that slopes downward at an angle of 36.9degrees below the horizontal.
f the block of ice starts from rest, what is its final speed? You can ignore friction.
2. Homework Equations
F=ma...
1. Homework Statement
A box of bananas weighing 40.0N rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.40 and the coefficient of kinetic friction is 0.20.
a) If no horizontal force is applied to the box and the box is at rest, how...
1. Homework Statement
Find the tension in each cord in the figure if the weight of the suspended object is w.
2. Homework Equations
F=ma
3. The Attempt at a Solution
I've been able to handle these questions when 2 variables are involved, but having 3 has me stumped at the...
1. Homework Statement
A cannon, located 60.0m from the base of a vertical 25.0m tall cliff, shoots a 15 kg shell at 43.0degrees above the horizontal toward the cliff.
What must the minimum muzzle velocity be for the shell to clear the top of the cliff?
The ground at the top of the...
1. Homework Statement
Using improper integrals, find the Laplace transform of f(t)=t, determining the values of s for which the transform is valid.
2. Homework Equations
The Laplace transform F(s) of a function f is defined as
∞
/
F(s)= | f(t)e^(-st)...
1. Homework Statement
Find the inverse of
by reducing the augmented matrix [A|I] using row operations.
3. The Attempt at a Solution
I just can't seem to get this one out, it's the last in a series of 9 similar questions and the first I am to have a hard time with.
First few attempts...
So I have an assignment due in a few hours and I am pretty happy with it, aside from the fact that I am completely lost on the following section: -
The polynomials of degree 3, denoted P3, form a vector space.
1. Show that when added, two general polynomials of degree 3 will always produce...