Exam 1: A: Foundations

An ideal gas is kept in a rigid container that expands negligibly when heated.The gas starts at a temperature of 20.0°C,and heat is added to increase its temperature.At what temperature will its root-mean-square speed (thermal speed)be double its value at 20.0°C?

Two boxes are connected by a weightless cord running over a very light frictionless pulley as shown in the figure. Box A,of mass 8.0 kg,is initially at rest on the top of the table.The coefficient of kinetic friction between box A and the table is 0.10. Box B has a mass of 15.0 kg,and the system begins to move just after it is released. (a) Draw the free-body diagrams for each of the boxes,identifying all of the forces acting on each one. (b) Calculate the acceleration of each box. (c) What is the tension in the cord?

A racing car accelerates uniformly from rest along a straight track. This track has markers spaced at equal distances along it from the start,as shown in the figure. The car reaches a speed of 140 km/h as it passes marker 2.Where on the track was the car when it was traveling at 70 km/h?

A person on a diet loses 1.6 kg in a week.How many micrograms/second (μg/s)are lost?

A multiloop circuit is shown in the figure.Some circuit quantities are not labeled.It is not necessary to solve the entire circuit.The current I₂ is closest to

A rectangular box is positioned with its vertices at the following points: A = (0,0,0) C = (2,4,0) E = (0,0,3) G = (2,4,3) B = (2,0,0) D = (0,4,0) F = (2,0,3) H = (0,4,3) If the coordinates all have three significant figures,the angle between the line segments AG and AH is closest to:

A record is dropped vertically onto a freely rotating (undriven)turntable.Frictional forces act to bring the record and turntable to a common angular speed.If the rotational inertia of the record is 0.54 times that of the turntable,what percentage of the initial kinetic energy is lost?

Ekapluto is an unknown planet that has two moons in circular orbits.The table summarizes the hypothetical data about the moons. The orbital period of Moon B is closest to

A certain fuse "blows" if the current in it exceeds 1.0 A,at which instant the fuse melts with a current density of 620 A/cm². What is the diameter of the wire in the fuse?

The closest known star to our solar system is Alpha Centauri,which is approximately 4.30 light years away. A spaceship with a constant speed of 0.800c relative to the earth travels from Earth to this star. (a)How much time would elapse during the trip on a clock on board the spaceship? (b)How much time would elapse during the trip on a clock on Earth?

A 4.0-cm tall object is placed 60 cm away from a converging lens of focal length 30 cm.What are the nature and location of the image? The image is

The graph in the figure shows the net force acting on a 3.0-kg object as a function of time. (a) What is the acceleration of this object at time t = 2.0 s? (b) Draw,to scale,a graph of the acceleration of this object as a function of time over the range t = 0.00 s to t = 7.0 s.

An electric field is set up between two parallel plates,each of area 2.0 m²,by putting 1.0 μC of charge on one plate and -1.0 μC of charge on the other.The plates are separated by 4.0 mm with their centers opposite each other,and the charges are distributed uniformly over the surface of the plates.What is the magnitude of the electric field between the plates at a distance of 1.0 mm from the positive plate,but not near the edges of the plates? (ε₀ = 8.85 × 10^-12 C²/N • m²)

If the eastward component of vector is equal to the westward component of vector And their northward components are equal.Which one of the following statements about these two vectors is correct?

A 6.00-μF parallel-plate capacitor has charges of ±40.0 μC on its plates.How much potential energy is stored in this capacitor?

Monochromatic light of wavelength 500 nm is incident normally on a diffraction grating. If the third-order maximum of the diffraction pattern is observed at 32.0° from the central spot,how many TOTAL number of maxima can be seen?

An optic fiber is made of clear plastic with index of refraction of 1.50,surrounded by air. For what angles of incidence θ will light remain within the plastic fiber?

A 2.3-kg object traveling at 6.1 m/s collides head-on with a 3.5-kg object traveling in the opposite direction at 4.8 m/s.If the collision is perfectly elastic,what is the final speed of the 2.3-kg object?

A nonrelativistic electron is accelerated from rest through a potential difference.After acceleration the electron has a de Broglie wavelength of 880 nm.What is the potential difference through which this electron was accelerated? (h = 6.626 × 10^-34 J • s,e = 1.60 × 10^-19 C,m_el = 9.11 × 10^-31 kg)

On a smooth horizontal floor,an object slides into a spring which is attached to another mass that is initially stationary.When the spring is most compressed,both objects are moving at the same speed.Ignoring friction,what is conserved during this interaction?