Exam 1: A: Foundations

A long straight conductor has a constant current flowing to the right.A wire rectangle is situated above the wire,and also has a constant current flowing through it (as shown in the figure).Which of the following statements is true?

The emf and the internal resistance of a battery are as shown in the figure.If a current of 8.3 A is drawn from the battery when a resistor R is connected across the terminals ab of the battery,what is the power dissipated by the resistor R?

If a rectangular area is rotated in a uniform electric field from the position where the maximum electric flux goes through it to an orientation where only half the flux goes through it,what has been the angle of rotation?

Consider the circuit shown in the figure.Note that two currents are shown.Calculate the emfs ε₁ and ε₃.

A sphere with radius 2.0 mm carries +1.0 μC of charge distributed uniformly throughout its volume.What is the potential difference,V_B - V_A,between point B,which is 4.0 m from the center of the sphere,and point A,which is 9.0 m from the center of the sphere? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

A container of ideal gas has a movable frictionless piston.This container is placed in a very large water bath and slowly compressed so that the temperature of the gas remains constant and equal to the temperature of the water.Which of the following statements about this gas are true for this process? (There may be more than one correct choice.)

A convex-concave thin lens is made with the radius of curvature of the convex surface being 25.0 cm and the concave surface 45.0 cm.If the glass used has index of refraction 1.500,what is the focal length of this lens?

An L-shaped metal machine part is made of two equal-length segments that are perpendicular to each other and carry a 4.50-A current as shown in the figure.This part has a total mass of 3.80 kg and a total length of 3.00 m,and it is in an external 1.20-T magnetic field that is oriented perpendicular to the plane of the part,as shown.What is the magnitude of the NET magnetic force that the field exerts on the part?

A man's face is 30 cm in front of a concave spherical shaving mirror. If the image is erect and 1.5 times as large as his face,what is the radius of curvature of the mirror?

A point charge Q of mass 8.50 g hangs from the horizontal ceiling by a light 25.0-cm thread.When a horizontal electric field of magnitude 1750 N/C is turned on,the charge hangs away from the vertical as shown in the figure.The magnitude of Q is closest to

Charge Q₁ = 6.0 nC is at (0.30 m,0),charge Q₂ = -1.0 nC is at (0,0.10 m),and charge Q₃ = 5.0 nC is at (0,0). What are the magnitude and direction of the net electrostatic force on the 5.0-nC charge due to the other charges? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

A 10.0-kg uniform ladder that is 2.50 m long is placed against a smooth vertical wall and reaches to a height of 2.10 m,as shown in the figure.The base of the ladder rests on a rough horizontal floor whose coefficient of static friction with the ladder is 0.800.An 80.0-kg bucket of concrete is suspended from the top rung of the ladder,right next to the wall,as shown in the figure.What is the magnitude of the friction force that the floor exerts on the ladder?

The motion of a particle is described in the velocity versus time graph shown in the figure.We can say that its speed

Three +3.0-μC point charges are at the three corners of a square of side 0.50 m. The last corner is occupied by a -3.0-μC charge. Find the magnitude of the electric field at the center of the square. (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

What is the vector product of = 2.00 + 3)00 + 1)00 And = 1)00 - 3)00 - 2)00 ?

A disk-shaped space station 175 m in diameter spins uniformly about an axis perpendicular to the plane of the disk through its center.How many rpm (rev/min)must this disk make so that the acceleration of all points on its rim is g/2?

At what speed relative to the lab will a 0.272-kg object have the same momentum as a 1.30-kg object that is moving at 0.515c relative to the lab?

When a certain metal is illuminated by light,photoelectrons are observed provided that the wavelength of the light is less than 669 nm.Which one of the following values is closest to the work function of this metal? (h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

An object starts from rest at time t = 0.00 s and moves in the +x direction with constant acceleration. The object travels 12.0 m from time t = 1.00 s to time t = 2.00 s. What is the acceleration of the object?

If the headlights on a car are separated by 1.3 m,how far down the road can they be resolved if the angular resolution of the eye is 5.0 × 10^-4 rad and the person has excellent vision?