Exam 1: A: Foundations

A -7.0-μC point charge has a positively charged object in an elliptical orbit around it.If the mass of the positively charged object is 1.0 kg and the distance varies from 5.0 mm to 20.0 mm between the charges,what is the maximum electric potential difference through which the positive object moves? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

An LRC series circuit has voltage supplied to it at a frequency of 13.0 kHz with a phase difference between the current and the voltage of magnitude 0.20 rad.If the circuit has a capacitance of 5.0 μF and an inductance of 0.050 H find the resistance of the circuit.

An air-filled capacitor is formed from two long conducting cylindrical shells that are coaxial and have radii of 48 mm and 84 mm.The electric potential of the inner conductor with respect to the outer conductor is -400 V.(k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)The energy stored in a 1.0-m length of this capacitor is closest to

The potential as a function of position x is shown in the graph in the figure.Which statement about the electric field is true?

A 7.8-kg solid sphere,made of metal whose density is 2500 kg/m³,is suspended by a cord.When the sphere is immersed in water (of density 1000 kg/m³),what is the tension in the cord?

Write out the number 7.35 × 10^-5 in full with a decimal point and correct number of zeros.

The spherical side mirror on a car is convex and has a radius of curvature of 25 cm. Another car is following,20 m behind the mirror.If the height of the car is 1.6 m,how tall is its image?

If the z-component of the magnetic field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation B_z(x,t)= (1.25 μT)cos[(3800 m^-1)x - (1.14 × 10-¹² rad/s)t],what is the largest that the y component of the electric field can be? (c = 3.0 × 10⁸ m/s)

At any angular speed,a certain uniform solid sphere of diameter D has half as much rotational kinetic energy as a certain uniform thin-walled hollow sphere of the same diameter when both are spinning about an axis through their centers.If the mass of the solid sphere is M,the mass of the hollow sphere is

Two light bulbs,B₁ and B₂,are connected to a battery having appreciable internal resistance as shown in the figure.What happens to the brightness of bulb B₁ when we close the switch S?

A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space,as shown in the figure.A uniform electric field is also present.An electron that is projected with an initial velocity v₀ = 9.1 × 10⁴ m/s in the positive x-direction passes through the region without deflection.What is the electric field vector in the region?

The moons of Mars,Phobos (Fear)and Deimos (Terror),are very close to the planet compared to Earth's Moon.Their orbital radii are 9,378 km and 23,459 km respectively.What is the ratio of the orbital speed of Phobos to that of Deimos?

A single slit illuminated with a 500 nm light gives a diffraction pattern on a far screen.The 5^th minimum occurs at 7.00° away from the central maximum.At what angle does the 18^th minimum occur?

A 1.6-kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 190 N/m.The block is pulled from its equilibrium position at x = 0.00 m to a displacement X = +0.080 m and is released from rest.The block then executes simple harmonic motion along the horizontal x-axis.What is the velocity of the block at time t = 0.40 s?

A charged particle of mass 0.0020 kg is subjected to a 6.0 T magnetic field which acts at a right angle to its motion.If the particle moves in a circle of radius 0.20 m at a speed of 5.0 m/s,what is the magnitude of the charge on the particle?

A light board,10 m long,is supported by two sawhorses,one at one edge of the board and a second at the midpoint.A small 40-N weight is placed between the two sawhorses,3.0 m from the edge and 2.0 m from the center.What forces are exerted by the sawhorses on the board?

The weight of spaceman Speff at the surface of planet X,solely due to its gravitational pull,is 389 N.If he moves to a distance of 1.86 × 10⁴ km above the planet's surface,his weight changes to 24.31 N.What is the mass of planet X,if Speff's mass is 75.0 kg? (G = 6.67 × 10^-11 N • m²/kg²)

An ideal air-filled parallel-plate capacitor has round plates and carries a fixed amount of equal but opposite charge on its plates.All the geometric parameters of the capacitor (plate diameter and plate separation)are now DOUBLED.If the original energy density between the plates was u₀,what is the new energy density?

A diffraction grating has rulings of 890 lines/mm.When white light is incident normally on the grating,what is the longest wavelength that forms an intensity maximum in the fifth order?

If and Are nonzero vectors for which • = 0,it must follow that