Exam 1: A: Foundations

A series LRC circuit consists of a 100-Ω resistor,a 0.100-μF capacitor and a 2.00-mH inductor connected across a 120-V rms ac voltage source operating at .At what frequency will this circuit be in resonance?

Two ice skaters push off against one another starting from a stationary position.The 45.0-kg skater acquires a speed of 0.375 m/s.What speed does the 60.0-kg skater acquire? Assume that any other unbalanced forces during the collision are negligible.

A car heading north collides at an intersection with a truck of the same mass as the car heading east.If they lock together and travel at 28 m/s at 46° north of east just after the collision,how fast was the car initially traveling? Assume that any other unbalanced forces are negligible.

A non-conducting sphere of radius R = 7.0 cm carries a charge Q = 4.0 mC distributed uniformly throughout its volume.At what distance,measured from the center of the sphere,does the electric field reach a value equal to half its maximum value?

A 120-kg refrigerator,2.00 m tall and 85.0 cm wide,has its center of mass at its geometrical center.You are attempting to slide it along the floor by pushing horizontally on the side of the refrigerator.The coefficient of static friction between the floor and the refrigerator is 0.300.Depending on where you push,the refrigerator may start to tip over before it starts to slide along the floor.What is the highest distance above the floor that you can push the refrigerator so that it won't tip before it begins to slide?

If a flower is 6.5 cm wide,its width expressed in millimeters is x mm,where x is

A system of blocks and a frictionless pulley is shown in the figure.Block A has a mass of 2.0 kg and is on a rough horizontal surface for which μ_s = 0.40 between the surface and block A.The rope pulls horizontally on block A.Block C has a mass of 1.0 kg.An external force P = 23.0 N,applied vertically to block A,maintains the system at rest as shown in the figure.What is the friction force on block A?

When a rocket is traveling toward a mountain at 100 m/s,the sound waves from this rocket's engine approach the mountain at speed V.If the rocket doubles its speed to 200 m/s,the sound waves from the engine will now approach the mountain at speed

You are a passenger on a spaceship.As the speed of the spaceship increases,you would observe that

A container is filled with a mixture of helium (light molecules)and oxygen (heavy molecules)gases.A thermometer in the container reads 22°C.Which gas molecules have the greater average speed?

Three boxes in contact rest side-by-side on a smooth,horizontal floor.Their masses are 5.0-kg,3.0-kg,and 2.0-kg,with the 3.0-kg box in the center.A force of 50 N pushes on the 5.0-kg box,which pushes against the other two boxes. (a) Draw the free-body diagrams for each of the boxes. (b) What magnitude force does the 3.0-kg box exert on the 5.0-kg box? (c) What magnitude force does the 3.0-kg box exert on the 2.0-kg box?

A light bulb is connected in the circuit shown in the figure with the switch S open.All the connecting leads have no appreciable resistance and the battery has no internal resistance.When we close the switch,which statements below accurately describe the behavior of the circuit? (There may be more than one correct choice.)

A certain engine extracts 1300 J of heat from a hot temperature reservoir and discharges 700 J of heat to a cold temperature reservoir.What is the efficiency of this engine?

Water flows in the horizontal pipe shown in the figure.At A the diameter is 5.00 cm and at B the diameter is 4.00 cm The fluid in the manometer is mercury,which has a density of 13,600 kg/m³.The manometer reading h is 4.40 cm.We can treat water as an ideal fluid having a density of 1000 kg/m³.What volume of water is flowing through the pipe per second?

Determine the angle between the directions of vector = 3.00 + 1)00 And vector = -3.00 + 3)00 .

A box is sliding down an incline tilted at a 12.0° angle above horizontal. The box is initially sliding down the incline at a speed of 1.50 m/s. The coefficient of kinetic friction between the box and the incline is 0.340. How far does the box slide down the incline before coming to rest?

Three forces are exerted on an object placed on a tilted floor.Forces are vectors.The three forces are directed as shown in the figure. If the forces have magnitudes F₁ = 1.0 N,F₂ = 8.0 N and F₃ = 7.0 N, where N is the standard unit of force,what is the component of the net force _net = ₁ + ₂ + ₃ parallel to the floor?

Light consisting of a mixture of red and blue light enters a 40°,70°,70° prism along a line parallel to the side opposite the 40° vertex.The index of refraction of the prism material for blue light is 1.530,and for red light it is 1.525.What is the angle between the two emerging beams of light?

A certain source of sound waves radiates uniformly in all directions.At a distance of 20 m from the source the intensity level is 51 db.What is the total acoustic power output of the source,in watts? (Note: The reference intensity I₀ is 1.0 × 10^-12 W/m².)

Alice and Tom dive from an overhang into the lake below.Tom simply drops straight down from the edge,but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s.Neither person experiences any significant air resistance.Compare the time it takes each of them to reach the lake below.