A 1.5-kg cart attached to an ideal spring with a spring constant of 20 N/m oscillates on a horizontal, frictionless track
At time t = 0.00 s, the cart is released from rest at position x = 10 cm from the equilibrium position.
(a) What is the frequency of the oscillations of the cart?
(b) Determine the maximum speed of the cart. Where does the maximum speed occur?
(c) Find the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) How much total energy does this oscillating system contain?
(e) Express the displacement as a function of time using a cosine function.
(a) 0.58 Hz (b) 0.37 m/s, at the equilibrium position
(c) 1.3 m/s2, at maximum displacement (d) 0.10 J (e) x = (0.10 m) cos (3.7 s-1 t)
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A neutral hollow spherical conducting shell of inner radius 1.00 cm and outer radius 3.00 cm has a +2.00-µC point charge placed at its center. Find the surface charge density (a) on the inner surface of the shell. (b) on the outer surface of the shell
What will be an ideal response?
The color force between quarks is carried by
a. mesons b. the strong force c. leptons d. gluons e. none of the above
Consider the solar system as a “system” of particles. Which of the below qualify as internal interactions (A) and which as external interactions (E)?
(a) The contact interactions between the earth and a car moving on the earth’s surface (b) The gravitational interaction between the earth and the International Space Station (c) The gravitational interaction between two planets (d) The gravitational interaction between a given planet and the sun (e) The magnetic interaction between the sun and the earth (both have magnetic fields) (f) The gravitational interaction between the sun and the larger galaxy
Which is NOT an example of the Bernoulli effect?
a. Smoke going up a chimney faster when there is a wind outside. b. A roof coming off a house in a tornado. c. A tarp covering a truck lifting up as the truck drives. d. Drinking a liquid through a straw. e. A piece of paper held in front of your lips rising as you blow air over it.