Summary: Finding angle between vectors a and m, knowing magnitude of m and n, also the angle between m and n with 60 degrees.
Using geometry, it looks like the angle is 30 degrees but the answer is suppose to be 54.7 degrees. I'm not sure how to solve this.
When viewing an HR diagram, the main sequence curve is apparent, and the general shape of it is obvious. However, in this truncated version, it's unclear to me exactly which stars should be considered main sequence. I've added a shaded grey area as what I think I should count as main sequence...
Homework Statement
Vectors A and B have equal magnitudes of 4.93. If the sum of A and B is the vector 6.79j, determine the angle between A and B
Homework Equations
c^2 = a^2 + b^2 -2abcos(theta)
The Attempt at a Solution
I just rearranged the formula above so that I could solve for the...
Homework Statement
You have decided to use a CCD camera to check if a 16th magnitude quasar is variable.
With your telescope/camera combination, you know that a star with a magnitude of 0 would deliver 1 × 109 photons/second to one pixel, so this allows you to work out the photons/second from...
Homework Statement
Homework Equations
Is my solution correct? If not then please point out the mistakes and help me solve this question in the right way. Thanks in advance.
The Attempt at a Solution
A frictionless incline (the triangle below) is bolted to the floor so that it can not move. A block of mass m slides down the slope, which makes an angle with the horizontal.
a)Draw a free-body diagram for the block, labeling all forces uniquely.
b)Describe all the forces listed above in the...
Homework Statement
You enter an antique classic car road rally with your 1956 Studebaker Golden Hawk. The rally course consists of the following segments: travel north at 25.0 m/s for 30.0 min, then east at 32.0 m/sfor 40.0 min, and finally northeast at 30.0 m/s for 50.0 min. For the entire...
Homework Statement
A force of 2.4N is exerted on a -1.8µC charge in a downward direction. What is the magnitude and direction of the magnetic field at this point?
(The assignment sheet is called "Electrostatics Questions", hence the "Electrostatics?" in the title)
Homework Equations
Electric...
Homework Statement
A cricketer throws a 147g ball by exerting a force of 7.5N for 0.84s. If the launch angle is 39 degrees from horizontal, calculate the range of the ball.
Homework Equations
The Attempt at a Solution
I have the range equation and I just need to find the magnitude of the...
This is the problem given at my basic astronomy course. If I turn it in within a month correctly, I get 10 extra points in the finals.
Problem:
We have binary star system consisting of Star A and Star B. Astronomers have observed it for 11 years, during which it has moved from point A to point...
Homework Statement
A uniform horizontal rod of mass 4 kg and length 500 mm, is hinged at the left hand side and supported at rest by a chain (S) attached 10 cm from the hinge.
Calculate the magnitude and direction of the reaction force on the rod at the hinge. State the principle you have...
Homework Statement
a) Common transparent tape becomes charged when pulled from a
dispenser. If one piece is placed above another, the repulsive force can
be great enough to support the top piece’s weight. Assuming equal point
charges (only an approximation), calculate the magnitude of the...
Homework Statement
A biker is 40.0m to the east of a flag in a park, heading south at 10m/s. 30.0 seconds later, the biker is 40.0m north of the flag and heading east at 10.0m/s. For the biker in this 30.0s interval, what are:
a) the magnitude and direction of the displacement?
b) the magnitude...
Homework Statement
Homework Equations
The Attempt at a Solution
So I began by subtracting.
(205-160)=55 i
(495+128)=623 j
Both of these vectors are in the positive direction. So if I divide the vector by its magnitude I should get an answer of 1 in the positive direction for both i and...
Homework Statement
Physics for Scientists and Engineers, 8th Edition, Ex. 47 M4
A spacecraft flies from 24.000 ft to 31.000 ft, in which it enters a parabolic trajectory with a velocity of 143 m/s at an angle of 45, above the horizontal. It exits with a velocity of 143 m/s at an angle of 45...
Homework Statement
Each one of the force vectors are surrounded with dimensions. But you're not given any angles. How do you solve for the resultant vector like that?
Homework Equations
Fr = F1 + F2 + F3
The Attempt at a Solution
I tried taking the arctan(200/210) on the 435 N...
Homework Statement
Force A has a magnitude of 200 lb and points 35deg N of W. Force B points 40deg E of N. Force C points 30deg W of S. The resultant of the three forces has a magnitude of 260 lb and points 85deg S of W. Find the magnitude of forces B and C.
Homework Equations...
Homework Statement
[/B]
If possible, refer to attached image rather than whats written below (as the image is easier to understand).
Triangle ABC is equilateral and AD = BE = CF.
Let u, v and w be unit vectors in the directions
of AB, BC and CA respectively.
Let AB = mu and AD = nu.
i) Find BC...
Homework Statement
An object is moving in the xy-plane according to the equations x(t) = 3sin(3t) and y(t) = 4cos(3t). What is the maximum magnitude of the particle's acceleration?
1) 5 m/s2
2) 15 m/s2
3) 30 m/s2
4) 36 m/s2 [the accepted answer]
5) 45 m/s2
Homework Equations...
https://scontent-lhr3-1.xx.fbcdn.net/v/t34.0-12/13181084_10156883800920486_1357045350_n.jpg?oh=a39d7777f01c4aa06301c4f3d740de1e&oe=57301DBC
Hi
I am currently studying design engineering and my lecturer has left just before an exam. I really don't know how to find the magnitude and direction of...
A car travels around a circular track with a radius of r=250m. When it is at point A then VA=5m/s which increases at a rate of a=(0.06t)m/s2. Determine the magnitude of its velocity and its acceleration when it is 1/3 around the track. My distance in this situation is obviously 524m.
Can anyone...
Homework Statement
(This is a long problem but I think the question is not hard.)
Determining the star density from star counts is tough, but estimating counts from a density law is simpler. In practice, this method of fit-ting observed number counts to an assumed density law is becoming a...
Homework Statement
A system consists of a bicycle and a cyclist travelling at a constant velocity along a horizontal road.
The total resistive force acting on the system in 4.0N and its speed is 8.0 m/s. Calculate the useful power output of the cyclist.
The cyclist stops pedalling and the...
So I'm trying to k-correct some fluxes in 250μm (janskys) using the M82 template found here and the relevant equations found here (I also have the transmission filter function). The template is normalised to 5500 A and doesn't have a brightness so I fail to see how I can correct my observed...
Hello all.
Sometimes, when reading a physics book, I find it difficult to distinguish between the magnitud of a vector and the component of a vector. For example, take the weight force, with the positive z direction pointing upwards (that is, F= -mg k). Sometimes, people write F=mg refering to...
1. The trajectory of a rock thrown from a height with an initial speed of 20.9 m/s is shown in the figure below. Evaluate the magnitude of the gravitational field at the surface of the planet. The planet has no atmosphere...
Homework Statement
I need to find the magbitude of charges
Lenght of string - 50 cm
mass of balls - 0.2 grams
theeta - 37 degrees
Homework Equations
K-8.99x10^9 [/B]
The Attempt at a Solution
I found that half the distance between the balls is 15.9 cm but i dont know how to continue[/B]
Homework Statement
Three vectors A, B, C, each have a magnitude of 46 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 28 ˚, 191 ˚, and 313 ˚.
What are the magnitude and the angle of A-B+C with right-arrow in the range of (-180°, 180°)?
Homework...