Exam 1: A: Foundations

A cylindrical insulated wire of diameter 5.0 mm is tightly wound 200 times around a cylindrical core to form a solenoid with adjacent coils touching each other.When a 0.10 A current is sent through the wire,what is the magnitude of the magnetic field on the axis of the solenoid near its center? (μ₀ = 4π × 10^-7 T • m/A)

A series ac circuit consists of an inductor having a reactance of 80 Ω and an inductance of 190 mH,a 40-Ω resistor,a capacitor whose reactance is 100 Ω,and an ac source.The rms current in the circuit is measured to be 2.2 A.What is the rms voltage of the source?

A metal bar is hanging from a hook in the ceiling when it is suddenly struck by a ball that is moving horizontally (see figure).The ball is covered with glue,so it sticks to the bar.During this collision

Monochromatic light is incident on a grating that is 75 mm wide and ruled with 50,000 lines.The second-order maximum is seen at 32.5°. What is the wavelength of the incident light?

A circular cylinder of height 1.20 m having faces of diameter 0.620 m is immersed in water of density 1.00 × 10³ kg/m³ with its axis vertical so that its faces are parallel to the surface of the water.The upper face is 2.50 m below the surface of the water.The net force on this cylinder is observed to be 1120 N downward.Atmospheric pressure is 1.01 × 10⁵ Pa.What net force does the water exert on the lower face of the cylinder?

In an isochoric process,the internal (thermal)energy of an ideal gas decreases by 50 J. How much heat is exchanged with the gas during this process?

A piece of plastic has a net charge of +2.00 μC. How many more protons than electrons does this piece of plastic have? (e = 1.60 × 10^-19C)

A point charge Q moves on the x-axis in the positive direction with a speed of 280 m/s.A point P is on the y-axis at y = +70 mm.The magnetic field produced at the point P,as the charge moves through the origin,is equal to What is the charge Q? (μ₀ = 4π × 10^-7 T • m/A)

Two identical small charged spheres are a certain distance apart,and each one initially experiences an electrostatic force of magnitude F due to the other.With time,charge gradually leaks off of both spheres.When each of the spheres has lost half its initial charge,the magnitude of the electrostatic force will be

An 8.0-g bullet is shot into a 4.0-kg block,at rest on a frictionless horizontal surface (see the figure).The bullet remains lodged in the block.The block moves into an ideal massless spring and compresses it by 8.7 cm.The spring constant of the spring is 2400 N/m.The initial velocity of the bullet is closest to

A concave spherical mirror with a radius of 20 cm creates a real image 30 cm from the mirror. How far is the object from the mirror?

Two identical objects A and B fall from rest from different heights to the ground and feel no appreciable air resistance. If object B takes TWICE as long as object A to reach the ground,what is the ratio of the heights from which A and B fell?

A parallel-plate capacitor with plate separation of 1.0 cm has square plates,each with an area of 6)0 × 10^-2 m².What is the capacitance of this capacitor if a dielectric material with a dielectric constant of 2.4 is placed between the plates,completely filling them? (ε₀ = 8.85 × 10^-12 C²/N • m²)

A rectangular loop of wire measures 1.0 m by 1.0 cm.If a 7.0-A current flows through the wire,what is the magnitude of the magnetic force on the centermost 1.0-cm segment of the 1.0-m side of the loop? (μ₀ = 4π × 10^-7 T • m/A)

A solid sphere,solid cylinder,and a hollow pipe all have equal masses and radii and are of uniform density.If the three are released simultaneously at the top of an inclined plane and roll without slipping,which one will reach the bottom first?

Consider two less-than-desirable options.In the first you are driving 30 mph and crash head-on into an identical car also going 30 mph.In the second option you are driving 30 mph and crash head-on into a stationary brick wall.In neither case does your car bounce off the thing it hits,and the collision time is the same in both cases.Which of these two situations would result in the greatest impact force?

In a mass spectrometer,a singly-charged particle (charge e)has a speed of 1.0 × 10⁶ m/s and enters a uniform magnetic field of 0.20 T. The radius of the circular orbit of the particle is 0.020 m. What is the mass of this particle? (e = 1.60 × 10^-19C)

A 2.0 kg mass is moving along the x-axis. The potential energy curve as a function of position is shown in the figure. The kinetic energy of the object at the origin is 12 J. The system is conservative,and there is no friction. (a) What will be the kinetic energy at 2.0 m along the +x-axis? (b) What will be the speed of the object at 6.0 m along the +x-axis?

An electron has a speed of 0.643c.Through what potential difference would the electron need to be accelerated (starting from rest)in order to reach this speed? (c = 3.00 × 10⁸ m/s,e = 1.60 × 10^-19 C, M_el = 9.11 × 10^-31 kg)

The figure shows the velocity of a particle as it travels along the x-axis.What is the direction of the acceleration at t = 0.5 s?