Exam 1: A: Foundations

The 60-Hz ac source of a series circuit has a voltage amplitude of 120 V.The resistance,capacitive reactance,and inductive reactance are as shown in the figure.What is the rms current in the circuit?

The rotating systems shown in the figure differ only in that the two identical movable masses are positioned a distance r from the axis of rotation (left),or a distance r/2 from the axis of rotation (right).You release the hanging blocks simultaneously from rest,and call t_L the time taken by the block on the left and t_R the time taken by the block on the right to reach the bottom,respectively.The bar,pulley,and rope have negligible mass,the rope does not slip,and there is no friction in the axle of the pulley.Under these conditions

The root-mean-square speed (thermal speed)of the molecules of a gas is 200 m/s at 23.0°C. At 227°C the root-mean-square speed (thermal speed)of the molecules will be closest to

Air is flowing through a rocket nozzle.Inside the rocket the air has a density of 5.25 kg/m³ and a speed of 1.20 m/s.The interior diameter of the rocket is 15.0 cm.At the nozzle exit,the diameter is 2.50 cm and the density is 1.29 kg/m³.What is the speed of the air when it leaves the nozzle?

If the fifth order minimum in the diffraction pattern due to a thin slit is at 40° from the central maximum,at what angle does the first order minimum occur?

In the figure,a 5.00-kg block is moving at 5.00 m/s along a horizontal frictionless surface toward an ideal massless spring that is attached to a wall.After the block collides with the spring,the spring is compressed a maximum distance of 0.68 m.What is the speed of the block when it has moved so that the spring is compressed to only one-half of the maximum distance?

A thin beam of laser light of wavelength 514 nm passes through a diffraction grating having 3952 lines/cm.The resulting pattern is viewed on a distant curved screen that can show all bright fringes up to and including ±90.0° from the central spot.What is the TOTAL number of bright fringes that will show up on the screen?

Two large conducting parallel plates A and B are separated by 2.4 m.A uniform field of 1500 V/m,in the positive x-direction,is produced by charges on the plates.The center plane at x = 0.00 m is an equipotential surface on which V = 0.An electron is projected from x = 0.00 m, with an initial velocity of 1.0 × 10⁷ m/s perpendicular to the plates in the positive x-direction,as shown in the figure.What is the kinetic energy of the electron as it reaches plate A? (e = 1.60 × 10^-19 C,m_el = 9.11 × 10^-31 kg)

A sealed 26-m³ tank is filled with 2000 moles of oxygen gas (O₂)at an initial temperature of 270 K.The gas is heated to a final temperature of 460 K.The ATOMIC mass of oxygen is 16.0 g/mol,and the ideal gas constant is R = 8.314 J/mol • K = 0.0821 L • atm/mol • K.The final pressure of the gas is closest to

The small piston of a hydraulic lift has a diameter of 8.0 cm,and its large piston has a diameter of 40 cm. The lift raises a load of 15,000 N. (a)Determine the force that must be applied to the small piston. (b)Determine the pressure applied to the fluid in the lift.

If two nonzero vectors point in the same direction,their dot product must be zero.

A 1.0-kg block and a 2.0-kg block are pressed together on a horizontal frictionless surface with a compressed very light spring between them.They are not attached to the spring.After they are released and have both moved free of the spring

For an object in uniform circular motion,its velocity and acceleration vectors are always perpendicular to each other at every point in the path.

If a tree is 15 m tall,its height expressed in feet is x ft,where x is

A 2.15 kg lightly damped harmonic oscillator has an angular oscillation frequency of 0.261 rad/s.If the maximum displacement of 2.0 m occurs when t = 0.00 s,and the damping constant b is 0.74 kg/s what is the object's displacement when t = 4.01 s?

A solid,uniform sphere of mass 2.0 kg and radius 1.7 m rolls from rest without slipping down an inclined plane of height 7.0 m.What is the angular velocity of the sphere at the bottom of the inclined plane?

A package is dropped from a helicopter moving upward at 15 m/s.If it takes 16.0 s before the package strikes the ground,how high above the ground was the package when it was released if air resistance is negligible?

As measured in Earth's rest frame,a spaceship traveling at 0.964c takes 11.2 y to travel between planets.How long does the trip take as measured by someone on the spaceship?

Three spaceships A,B,and C are in motion,as shown in the figure.The commander on ship B observes ship C approaching with a relative velocity of 0.78c.The commander also observes ship A,advancing in the rear,with a relative velocity of 0.31c.What is the velocity of ship C,relative to an observer on ship A?

A 1000 kg car experiences a net force of 9500 N while decelerating from 30.0 m/s to 23.4 m/s.How far does it travel while slowing down?