Law of sines: c/sin(A) = c/sin(B) = c/sin(C)
Do I have to solve this as a system of equations to solve for the sides? But where does the given perimeter come into play?
Homework Statement
All three sides of an isoceles triangle are given along with its perimeter. Find the length of each side.
A=97.433 B=41.283 C=41.283
Perimeter=24.78in
Homework Equations
p = a+b+c
a2=b2+c2 - 2*b*c*cos(A)
The Attempt at a Solution
Would you somehow find the...
Homework Statement
The Ko meson is a subatomic particle of rest mass MK = 498 MeV/c2 that decays into two charged pions, Ko \rightarrow \pipositive+ \pinegative. Both pions have the same mass, m\pi = 140 Mev/c2. A Ko at rest decays into two pions. Use conservation of energy and momentum to...
Homework Statement
A U-shaped conducting rail that is oriented vertically in a horizontal magnetic field. The rail has no electric resistance and does not move. A slide wire with mass m = 10 g, L = 0.45 m, and resistance R = 0.10 Ω can slide up and down without friction while maintaining...
Homework Statement
An electron in a cathode ray tube is accelerated through a potential difference of ΔV = 11 kV, then passes through the d = 4 cm wide region of uniform magnetic field. What field strength (in mT) will deflect the electron by 10(degrees)? (Hint: is it a reasonable...
So, now at 90% of 172,800 J = 155,520 J
Using conservation of energy:
155,520 J = mgh
155,520 J = (8.1 kg)*(9.8 m/s^2)*(h)
h = 1959.18 m ?
This seems like a large value but reasonable because the mass is not that great.
Homework Statement
A fully energized 12V battery is rated as "4 Ampere-hours." Suppose this battery is connected to a motor that is 90% efficient at converting electrical to mechanical power. How high could this battery-supplied motor lift a 8.1 kg mass?
Homework Equations
V = I*R
P =...
Kinetic + potential = Emech
(1/2m(Vi^2)) - q(E)*(Xi) = (1/2m(Vf^2)) - q(E)*(Xf)
Then we changed the equation to this:
qE(20cm) = 1/2(mass of electron)*((Vf^2) + (Vi^2))
Then we solved for Vf:
Vf = 3.61697 x10^7 m/s
Homework Statement
An electron with an initial velocity of 4.7 x 10^7 m/s in the x-direction moves along a trajectory that takes it directly between the center of two 20 cm x 20 cm plates separated by 1 cm. The plates are connected to a high voltage power supply so that the potential...
[SOLVED] E-field at the center of a semicircle
Homework Statement
Calculate E at center of semicircle:
A uniformly charged insulating rod of length L = 12 cm is bent into the shape of a semicircle as shown. The rod has a total charge of Q = -6 nC. Find the magnitude of the electric...
Ok. That 1.60535 is correct. For part b now, would i just use V = Rw to find the angular speed. So,
w = 1.60535 / sqrt(.02^2 + .03^2)
w = 44.5238 and this would be in rad/sec?
I added 1/2 Iw^2 to each side using the initail veloctiy for w on the left side and w on the right side is the same as the Vf on the right side? When I do this I'm getting 2.397m/s which wouldn't be in the 10%.
[SOLVED] Speed of a Block
Homework Statement
The sliding block has a mass of 0.830 kg, the counterweight has a mass of 0.430 kg, and the pulley is a hollow cylinder with a mass of 0.350 kg, an inner radius of 0.020 m, and an outer radius of 0.030 m. The coefficient of kinetic friction...
[SOLVED] Finding friction from tangential acceleration
Homework Statement
A car traveling on a flat (unbanked) circular track accelerates uniformly from rest with a tangential acceleration of 2.25 m/s^2. The car makes it one quarter of the way around the circle before it skids off the...
Homework Statement
A m1 = 45.0 kg block and a m2 = 97.0 kg block are connected by a string as in the figure below. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between the 45.0 kg block and incline is 0.250. Determine the change in the kinetic energy...
[SOLVED] Object Dropped on a Spring
Homework Statement
A 1.30 kg object is held 1.20 m above a relaxed, massless vertical spring with a force constant of 310 N/m. The object is dropped onto the spring.
(a) How far does the object compress the spring?
________m
(b) How far does the...
[SOLVED] Particle movement down a track
Homework Statement
A particle of mass m = 6.60 kg is released from point A and slides on the frictionless track shown in the figure below. (ha = 5.20 m.)
(a) Determine the particle's speed at points B and C.
point B____________ m/s
point C...
That would explain my mistake. I was using the horizontal component of the velocity. When I use 3.13 I get 1.03827 sec, which is correct. Thanks a lot learningphysics!
Homework Statement
A block of mass m = 2.00 kg is released from rest at h = 0.500 m from the surface of a table, at the top of a θ = 35.0° incline as shown below. The frictionless incline is fixed on a table of height H = 2.00 m.
How much time has elapsed between when the block is...
Ok, I found the acceleration to be .851m/s^2. Now, to find the horizontal component of the force i would set that acceleration equal to T*Sin(5)?
Tsin(5) = a
T = .851 / sin(5)
T = 9.764 N ?
Homework Statement
Consider a conical pendulum with a 78.0 kg bob on a 10.0 m wire making an angle of θ = 5.00° with the vertical. (Consider positive i to be towards the center of the circular path.)
(a) Determine the horizontal and vertical components of the force exerted by the wire on...
so to find the velocity i would take the square root of g*R?
v = sqrt(9.8*.385)
v = 1.9424 m/s
then,
(v/(2pi*R)) * 60 = revs/min
(1.9424/(2pi*.385))*60 = 48.178 revs/min
So I set the normal force equal to zero just before it would leave the track and use..
normal - mg = m(v^2)/r masses would cancel.
0 + g = (v^2)/r
gr = (v^2)
sqrt(gr) = v
when i take the sqare root of 9.8*15 I'm getting 12.1244m/s which sounds reasonable.
Cos(62.5) = (v^2)/gR
That was the equation that our professor lead us up to in class to find velocity. Wouldn't the component of the weight in the radial direction just equal mgCos(62.5)?