Velocity and position of electron

AI Thread Summary
The position of the electron is defined by the equation R = 3t i + 4t^2 j + 2k. The x-component of the velocity is 3, the y-component is 8t, and the z-component is 0. To find the speed, the magnitude of the velocity vector is calculated as the square root of the sum of the squares of its components. The angle with the positive x-axis can be determined using the inverse tangent of the ratio of the y-component to the x-component. The discussion emphasizes the importance of correctly calculating speed and angles based on the velocity components.
tjbateh
Messages
86
Reaction score
0

Homework Statement



An electron's position is given by R= 3t i + 4t^2 j + 2k, where t is in seconds and R is in meters. What are the (a) x-, (b) y- and (c) z-components of the electron's velocity? (d) What is the electron's speed? (e) What angle does the electron's velocity make with positive x-axis? Give all answers as appropriate functions of time.

Homework Equations





The Attempt at a Solution


So far, I have the
x-component = 3
y-component= 8t
z-component= 0

I have no idea how to find the speed, of the angle it makes. For the speed I put 3 + 8t, and it was wrong. I have one more try at the problem.
 
Physics news on Phys.org


Speed is just the magnitude of the velocity (I.e. velocity without the direction part).

You have the components of the velocity vector how would you normally find the angle?
 


Ok so are you saying the speed is equal to 3^2 + 8^2...then take the square root of that??

And the angle is inverse tan of 8/3?
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Finding shortest distance between an observer and a moving object
Replies
13
Views
2K
Finding the position vector for translated frame of reference
Replies
9
Views
2K
Calculate the gravitational force between these three masses
Replies
4
Views
698
Query related to Two-Dimensional Motion
Replies
9
Views
1K
Using Matlab ode45 to solve a simple 2 body problem
Replies
5
Views
4K
A ball is thrown w/initial speed vi at an angle 𝜃i with the horizontal
Replies
5
Views
1K
Calculate electric force using Coulomb's law (vector components are the struggle)
Replies
3
Views
1K
System of two wheels of different sizes with an axle through their centers
2
Replies
67
Views
4K
Finding the expression for the x-component of velocity (vectors?)
Replies
2
Views
3K
Determining position of an object after inelastic collision
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top