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Week 3 Flashcards | StudBud

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What is the formula for centripetal force?

What is the general formula for velocity of a particle in polar coordinates?

Week 3

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Answers

1
What is the general formula for velocity of a particle in polar coordinates?
I have no idea...
\frac{dr}{dt}r̂+r\frac{dθ}{dt}θ̂
θ\frac{dr}{dt}r̂+r\frac{dθ}{dt}θ̂
\frac{dr}{dt}r̂+\frac{dθ}{dt}θ̂
2
What is the formula for centripetal force?
-\frac{v^2}{r}r̂
-\frac{mv^2}{r}r̂
\frac{mv^2}{r}r̂
\frac{mv^2}{2}r̂
3
Answer the question from the picture:
172 s
524 s
127 s
707 s
4
Calculate \frac{∂f\left(x,y\right)}{∂y} where f\left(x,y\right)=e^x\sin\left(x+y\right)
xe^x\sin\left(x+y\right)+e^x\cos\left(x+y\right)
xe^x\cos\left(x+y\right)
e^x\cos\left(x+y\right)
e^xy\cos\left(x+y\right)
5
Particle of mass m is moving along x-axis with velocity v_0when acted upon by a force F_x=α+βt^2. Find v\left(t\right)
v_0+\frac{α}{m}t+\frac{β}{3m}t^3
v_0+\frac{α}{m}t+\frac{β}{m}t^3
v_0+αt+\frac{β}{3}t^3
\frac{α}{m}t+\frac{β}{3m}t^3
6
(Parametric differentiation) Given that x=t^3 and y=3\cos t, find \frac{dy}{dx}.
\frac{\sin t}{t^2}
\frac{-\sin t}{t^2}
\frac{t^2}{\sin t}
-3\frac{\sin t}{t^2}
7
What are the two Einstein's postulates of special relativity? (be careful!)
The laws of physics are the same in all frames.
The speed of light in vacuum is the same in all inertial frames.
The laws of physics are the same in all inertial frames.
The speed of light is constant.