Suppose that a triangle has sides of length a = 15 cm, b = 37
cm,...
Suppose that a triangle has sides of length a = 15 cm, b = 37
cm, and c = 29 cm, then α = _______, β = ______., and γ =______ .
Carefully round your answers to the nearest tenth of a degree, do
not include units in your typed answers.
A rectangular block of copper has sides of length 12 cm, 26 cm,
and 37 cm. If the block is connected to a 5.4 V source across two
of its opposite faces, find the following.
(a) What is the maximum current the block can carry?
(b) What is the minimum current the block can carry?
Consider an equilateral triangle with sides measuring 1.0 m in
length. At each point of the triangle is a +2.0 ?C charge.
Calculate the Coulomb force on each charge. Recall that forces are
vectors and thus your answer will require a magnitude and direction
for each of the three forces.
The drawing shows an equilateral triangle, each side of which
has a length of 3.99 cm. Point charges are fixed to each corner, as
shown. The 4.00 C charge experiences a net force due to the charges
qA and qB. This net force points vertically downward and has a
magnitude of 305 N. Determine (a) charge qA, (b) charge qB.
a) Use the law of sines to solve a triangle with sides a = 9, b
= 16, and angle C = 80◦ .
b) . Use the law of cosines to solve a triangle with sides a =
8, c = 17, and angle B = 35◦ .
Suppose that A is a triangle with integer sides and integer
area. Prove that the semiperimeter of A cannot be a prime
number.
(Hint: Suppose that a natrual number x is a perfect square, and
suppose that p is a prime number that divides x. Explain why it
must be the case that p divides x an even number of times)
9). 3 charges, 8 µC each, are located on three vertices A, B, C of an equilateral triangle with sides 1 cm each. Another charge q is located at the mid point D of the side BC. Calculate q in micro Coulomb so that net force on the charge at A due to the charges at B, C and D is zero.
10). In a right angle triangle ABC, angle ABC is 90 Degree, AB = 2 m, and...
A square loop of wire with sides of length 34 cm is in a uniform
magnetic field perpendicular to its area.
Part A
If the field's strength is initially 110 mT and it decays to
zero in 0.011 s , what is the magnitude of the average emf induced
in the loop?
Part B
What would be the average emf if the sides of the loop were only
17 cm ?
Express your answer using two significant figures.
A thin, rectangular sheet of metal has mass M and sides of
length a and b. Find the moment of inertia of this sheet about an
axis that lies in the plane of the plate, passes through the center
of the plate, and is parallel to the side with length b. Express
your answer in terms of some or all of the variables M, a, and
b
Find the moment of inertia of the plate for an axis that lies...
1. Please complete the following parts of the question regarding optics.
a) A 4.0 cm -tall object is 15 cm in front of a CONVEX mirror that has a -25 cm focal length. Calculate the image position then Calculate the image height. Type a positive value if the image is upright and a negative value if it is inverted.
b) A 3.0-cm-tall object is 17 cm in front of a CONVERGING lens that has a 32 cm focal length....