Graphical Analysis: The figure shows a graph of the position of a moving object as a function of time.(a) What is the average velocity of the object from t = 0 s to t = 4.0 s?(b) What is the average velocity of the object from t = 0 s to t = 6.0 s?
Fill in the blank(s) with the appropriate word(s).
(a) 10 m/s (b) 0 m/s
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Rotational Kinetic Energy: A hoop is rolling without slipping along a horizontal surface with a forward speed of 5.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the hoop after it has rolled 3.00 m up as measured along the surface of the ramp?
A. 4.22 m/s B. 1.91 m/s C. 2.06 m/s D. 3.79 m/s E. 8.02 m/s
Three long parallel wires each carry 2.0-A currents in the same direction. The wires are oriented vertically, and they pass through three of the corners of a horizontal square of side 4.0 cm
What is the magnitude of the magnetic field at the fourth (unoccupied) corner of the square due to these wires? (?0 = 4? × 10-7 T ? m/A) A) 1.2 µT B) 2.1 µT C) 12 µT D) 21 µT E) 0 T
A 1.5-kg mass attached to spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track
At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 10.00 cm.) (a) Determine the frequency of the oscillations. (b) Determine the maximum speed of the mass. Where does the maximum speed occur? (c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur? (d) Determine the total energy of the oscillating system. (e) Express the displacement as a function of time.
By operating a reversible heat engine with an ideal gas as the working substance in a Carnot cycle and measuring the ratio Qc/Qh, we can calculate
a. n, the number of moles of the ideal gas. b. the ratio Vc/Vh of the volumes of the ideal gas. c. the ratio Pc/Ph of the pressures of the ideal gas. d. the ratio PcVc/PhVh of the products of volumes and pressures of the ideal gas. e. the value of Avogadro's number.