A mass is oscillating on a spring with a period of 4.60 s. At t = 0 s the mass has zero speed and is at x = 8.30 cm. In any 4.60 s time interval, how much time is the mass more than 4.15 cm away from x = 0 cm?
A) 0.326 s
B) 0.575 s
C) 0.767 s
D) 1.53 s
E) 3.07 s
E
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A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them. When it is connected to a battery of voltage V0, it has charge of magnitude Q0 on its plates. While it is connected to the battery the space between the plates is filled with a material of dielectric constant 3. After the dielectric is added, the magnitude of the charge on the plates and the potential difference between them are what?
A.
B.
C.
D.
E.
A heat engine having an efficiency of 0.20 takes in 2000 J of energy from the hot reservoir in one cycle. In the same time, how much work will it perform?
A. 0 J B. 33,333 J C. 400 J D. 1000 J E. 120 J
A 10-kg block on a rough horizontal surface is attached to a light spring (force constant = 1.4 kN/m). The block is pulled 8.0 cm to the right from its equilibrium position and released from rest. The frictional force between the block and surface has a magnitude of 30 N. What is the kinetic energy of the block as it passes through its equilibrium position?
a. 4.5 J b. 2.1 J c. 6.9 J d. 6.6 J e. 4.9 J
The habitable zone around a star refers to the places where living organisms are found
Indicate whether the statement is true or false