Exam 1: A: Foundations

In the circuit shown in the figure,four identical resistors labeled A to D are connected to a battery as shown.S₁ and S₂ are switches.Which of the following actions would result in the GREATEST amount of current through resistor A?

The amplitude of a lightly damped harmonic oscillator decreases from 60.0 cm to 40.0 cm in 10.0 s. What will be the amplitude of the harmonic oscillator after another 10.0 s passes?

A charge is accelerated from rest through a potential difference V and then enters a uniform magnetic field oriented perpendicular to its path.The field deflects the particle into a circular arc of radius R.If the accelerating potential is tripled to 3V,what will be the radius of the circular arc?

If an object travels at a constant speed in a circular path,the acceleration of the object is

A uniform solid cylinder of radius R and a thin uniform spherical shell of radius R both roll without slipping. If both objects have the same mass and the same kinetic energy,what is the ratio of the linear speed of the cylinder to the linear speed of the spherical shell?

The figure shows the displacement y of a wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position.Determine the frequency of the wave.

A machine part is vibrating along the x-axis in simple harmonic motion with a period of 0.27 s and a range (from the maximum in one direction to the maximum in the other)of 3.0 cm.At time t = 0 it is at its central position and moving in the +x direction.What is its position when t = 55 s?

Two objects,each of weight W,hang vertically by spring scales as shown in the figure.The pulleys and the strings attached to the objects have negligible weight,and there is no appreciable friction in the pulleys.The reading in each scale is

Add 3685 g and 66.8 kg and express your answer in milligrams (mg).

An object is 12 cm in front of a concave spherical mirror,and the image is 3.0 cm in front of the mirror. What is the focal length of the mirror?

A pilot drops a package from a plane flying horizontally at a constant speed.Neglecting air resistance,when the package hits the ground the horizontal location of the plane will

A multiloop circuit is shown in the figure.Some circuit quantities are not labeled.It is not necessary to solve the entire circuit.The emf ε is closest to

A piece of glass has a thin film of gasoline floating on it.A beam of light is shining perpendicular on the film.If the wavelength of light incident on the film is 560 nm and the indices of refraction of gasoline and glass are 1.40 and 1.50,respectively,what is the minimum nonzero thickness of the film to see a bright reflection?

A 20.0-kg uniform door has a width of 1.20 m and a height of 2.50 m.The door is mounted on a post by a pair of hinges,marked 1 and 2 in the figure,at the top and bottom of the door.An external force of 60.0 N,at an angle of 30.0° above the horizontal,is applied to the small doorknob,as shown in the figure.The doorknob is 1.00 m above the bottom of the door. (a)Find the x component of the force that hinge 1 exerts on the door at the top. (b)Find the SUM of the y components of the forces that hinges 1 and 2 together exert on the door.

A 30.0-kg child sits on one end of a long uniform beam having a mass of 20.0 kg,and a 40.0-kg child sits on the other end. The beam balances when a fulcrum is placed below the beam a distance 1.10 m from the 30.0-kg child. How long is the beam?

A dragster starts from rest and travels 1/4 mi in 6.70 s with constant acceleration.What is its velocity when it crosses the finish line?

Scientists use the metric system chiefly because it is more accurate than the English system.

Consider what happens when you jump up in the air.Which of the following is the most accurate statement?

A plane flying at 70.0 m/s suddenly stalls.If the acceleration during the stall is 9.8 m/s² directly downward,the stall lasts 5.0 s,and the plane was originally climbing at 25° to the horizontal,what is the velocity after the stall?

A car drives over a hilltop that has a radius of curvature 0.120 km at the top of the hill. At what speed would the car be traveling when it tires just barely lose contact with the road when the car is at the top of the hill?