Reference no: EM132588201

Assignment - Physics Questions

Q1. The figure below is for a 7 kg object moving in simple harmonic motion. Find the net force acting on the object at t = 2 s.

Q2. Using information from the previous problem, find the maximum kinetic energy of the object.

Q3. Two identical rods are welded together to form a physical pendulum as shown below. A horizontal axis of rotation passes through point p at the top of the vertical rod and is perpendicular to the plane of the page. The vertical rod is welded to the center of the horizontal rod with three fourths of its length above the horizontal rod. The length of each rod is 5 m. Given the center of mass rotational inertia for a uniform rod is (1/12)ML², find the period of motion for small oscillations.

Q4. A string has a linear mass density of 0.0006 kg/m and is stretched between two fixed supports 4 m apart. The tension in the string is 8 N. Find the frequency which will produce a standing wave with 7 antinodes.

Q5. After finding standing waves on a vibrating string, you plot ln(v) versus ln(F_T), where v is the wave speed in m/s and F_T is the tension in the string in N. The slope of this plot is 0.5 and the intercept is 2.7. Find the linear mass density of the string.

Q6. A sound source may be treated as a point source with a power of, P_s = 100 W. What is the sound level in decibels at a distance of 200 m from the source. I_o = 10^-12W/m².

Q7. A tube is closed on one end, open on the other end and filled with air. What frequency will produce a standing wave with 6 antinodes? The length of the tube is 2.5 m and the speed of sound in air is 340 m/s.

Q8. Two infinitely long hollow conducting cylindrical surfaces are shown below with their central axes perpendicular to the page. The cylinders have radii, r and 3r, where r = 0.4 m. The cylinders are initially electrically neutral and then 5000 electrons per meter are removed from the inner cylinder and placed on the outer cylinder. What is the acceleration of a free proton due to the electric field when it is at a radius of 2r, halfway between the two cylindrical surfaces? m = 1.67x10^-27 kg, e = 1.6x10^-19 C.

Q9. The figure below shows two infinite parallel conducting sheets that are perpendicular to the page and a distance of 2 mm apart. The two sheets are initially electrically neutral and then 4000 electrons per square meter are removed from the right sheet and placed on the left sheet. Find the acceleration of a free electron placed between the plates due to the electric field. m_e = 9.11x10^-31 kg, e = 1.6x10^-19 C.

Q10. Find the magnitude and direction of the acceleration of a proton when it is a distance of 10 cm from an infinite line of charge with a linear charge density of 4 nC/m. m_p = 1.67x10^-27 kg, e = 1.6x10^-19 C.

Q11. The figure below shows two protons and an electron. The protons are fixed and do not move. The electron is released from rest. Find the maximum speed of the electron if r = 500 μm. m_e = 9.11x10^-31 kg, e = 1.6x10^-19 C.

Q12. An electric dipole consists of a charge of -5 μC at the origin and a charge of 5 μC, at r = 5i - 4j + 6k mm. The dipole is in a region of constant electric field, E = 40i - 30j + 50k kN/C. Find the torque on the dipole and find the potential energy of the dipole.

Q13. Find the charge on the 80 μF capacitor.

Q14. Using the circuit below, find the current in the 40 Ω resistor?

Q15. A proton has a velocity of 4i + 5j - 3k km/s in a region of space where the magnetic field is 0.5i - 0.4j + 0.6k T. Find the electric field that will keep the proton traveling at constant velocity.

Q16. A single current carrying loop has a magnetic dipole moment of 20i - 20j + 25k Am2 and is in a region of space where the magnetic field is 300i + 400j - 300k mT. Find the torque on the current loop and find the potential energy of the loop.

Q17. A 5 mH ideal inductor is decaying through a resistor. At t = 0, the voltage is 20 V, and at t = 4 μs, the voltage is 5 V. Find the resistance of the resistor.

Q18. A 10 μF capacitor is discharging through a resistor. At t = 0, the voltage is 15 V, and at t = 5 s, the voltage is 5 V. Find the resistance of the resistor.