Two thin lenses with a focal length of magnitude 12.0cm, the first diverging and the second converging, are located 9.00cm apart. An object 2.50mm tall is placed 20.0cm to the left of the first (diverging) lens. Note that focal length of diverging lens is a negative number while focal length of converging lens would be positive.

(a) Draw a figure showing both lenses and use principal rays to find approximate position of the image formed by the first lens.

(b) Calculate how far from this first lens is the first image formed.

(c) Calculate how far from this first lens is the final image formed.

(d) What is the height of the final image?

(e) Is it upright or inverted?

Consider the filtering stage of a biomedical device that passes physiological signals with frequencies ranging between 159Hz and 1.59kHz and that delivers a total gain of four.

Design the electronic circuit of the filtering stage using Sallen-Key Filter topology and using 10kΩ resistors only. Find the value of the capacitors in the circuit designed.

A cylinder contains 4 mol of an ideal gas at 30^oC.  If it expands from an initial volume of 1.0 m³ to 2.0 m³ while maintained at a constant pressure of 200 kPa.

1. What is the change in the temperature of the gas?
2. How much heat is absorbed or released from the system, over the process?  

The pressure is then reduced while the gas is held at a constant volume.

3. If over this process the gas is returned to its original temperature, what is the heat absorbed or released, over that process?

A bungee jumper (mass 80 kg) is attached to a 10 m bungee cord attached to the top of a crane. For the first 5 meters of extension, the force exerted by the bungee cord increases by 2 N for every 1 cm. For any further extension, the force increases by only 1.2 N for every 1 cm..

a) Sketch the elastic force vs the length of the bungee cord.

b) What is the maximum extension of the bungee cord in this situation?

Suppose the observer remains at x = 0 and a source emits a frequency fs. If the source travels from x = −100 to x = 100 (passing “through” the observer) over the interval of time 0 ≤ t ≤ 10. 1. How fast is the source traveling? 2. What is x(t) that gives the position of the source? 3. If fs = 440 hz, what is fo at each time t? (Write as a piecewise function.) 4. Does your answer match your intuition/experience?

A bullet of mass m = 8.00 g is fired into a block of mass M = 220 g that is initially at rest at the edge of a table of height h = 1.00 m (see figure below). The bullet remains in the block, and after the impact the block lands d = 2.10 m from the bottom of the table. Determine the initial speed of the bullet.

___m/s

Hey I am trying to find a way to find the position of a Red Dwarf star that is in an elliptical orbit at a certain time during it's orbit. I know the Red Dwarf's semi major axis which is 3 AU (astronomical unit) and it's period is 1896 days.

I've tried to do a simple using its orbit velocity and doing distance=velocity x time, but I wasn't getting answers that made sense. If anyone could set me on the right path of figuring this out would be great, thank you!

surface charge density which is σ=σ₀ cosθ is distributed on the spherical shell with radius R .Using the Laplace eqn find electric potential outside the sphere .

A boy stands on a diving board and tosses a stone into a swimming pool. The stone is thrown from a height of 2.50 m above the water surface with a velocity of 4.00 m/s at an angle of 60.0° above the horizontal. As the stone strikes the water surface, it immediately slows down to exactly half the speed it had when it struck the water and maintains that speed while in the water. After the stone enters the water, it moves in a straight line in the direction of the velocity it had when it struck the water. If the pool is 3.00 m deep, how much time elapses between when the stone is thrown and when it strikes the bottom of the pool?

1. Motion is a process of (a) a change in time, (b) a change in position, (c) a change in weight, (d) a change in mass.

2. Which of the following is a scalar quantity? (a) force, (b) speed, (c) velocity,               (d) acceleration.

3. The time rate of change of velocity is (a) speed, (b) acceleration, (c) friction,            (d) force.

4. In addition to a magnitude, a vector quantity has (a) time, (b) direction,                 (c) length, (d) an average value.

5. Velocity (a) is a scalar quantity,(b) has no direction, (c) is a vector quantity,          (d) has the units of displacement.

6. Which of the following is a unit of acceleration? (a) km/s, (b) ft/s, (c) m/s2,            (d) cm/s .

7. All objects in free fall near the Earth’s surface have the same (a) velocity,              (b) speed, (c) acceleration, (d) weight.

8. Weight (a) is less in magnitude than an object’s mass, (b) is the same as mass,        (c) is a gravitational force, (d) has the units of kilos.

9. Mass is a measurement of (a) volume,(b) inertia, (c) force, (d) weight.                  

    10.For an object in free fall (a) the momentum is conserved, (b) there is zero net   force acting on it, (c) only the gravitational force is considered, (d) there is air resistance acting on it.

    11.If two equal and opposite forces act on an object, the object will (a) increase its inertia, (b) remain at rest or in uniform motion, (c) experience an unbalanced force,   (d) experience an acceleration.

    12.When the net force acting on an object increases, (a) its acceleration remains constant, (b) its velocity remains constant, (c) its speed is zero, (d) a change in speed and / or direction occurs.

     13. Work is equal to the (a) force times time, (b) mass times acceleration, (c) force times distance, (d) force divided by distance.

      14.The unit of work is (a) m/s, (b) N, (c) watt, (d) joule.

      15.The time rate of doing work is (a) momentum, (b) energy, (c) power, (d) force.

      16. The watt is a unit of (a) work, (b) momentum, (c) energy, (d) power.

      17. The energy of motion is called (a) potential, (b) inertial, (c) kinetic, (d) power.

      18. The energy of position is (a) work, (b) heat, (c) potential energy, (d) momentum.

      19.The impulse applied to an object is equal to the change in its (a) acceleration,          (b) velocity, (c) kinetic energy, (d) momentum.

       20. The impulse is equal to the (a) force times distance, (b) force times time, (c) mass times acceleration, (d) mass times velocity.

      21. The unit for angular acceleration in the metric system of units is (a) radians/s,        (b) m/s2, (c) degrees/s, (d) radians/s2.

     22. Newton’s second law of rotational motion states that torque equals (a) moment of inertia times angular velocity, (b) mass times distance, (c) angular velocity times time, (d) moment of inertia times angular acceleration.

     23. The perpendicular distance from the axis of rotation to a line along which a force acts is known as the (a) torque, (b) moment of inertia, (c) lever arm, (d) momentum.

     24. The time rate of change of angular velocity is known as angular (a) momentum,    (b) inertia, (c) acceleration, (d) velocity.

      25.The pressure in a liquid depends on (a) the weight density of the liquid, (b) the depth in the liquid, (c) the mass density of the liquid, (d) all of the preceding.

     26. The unit of pressure in the metric system is (a) pa/m, (b) Nm, (c) N/m2, (d) m/s.

     27.   Pressure may be decreased by (a) decreasing the force and area by the same factor, (b) decreasing the area of contact, (c) increasing the area of contact, (d) increasing the applied force.

     28. The buoyant force is described by (a) Bernoulli’s principle, (b) streamline flow,     (c) Pascal’s principle, (d) Archimedes’ principle.

       29. A mechanical advantage can be obtained by the application of (a) Archimedes’ principle, (b) Bernoulli’s principle, (c) surface tension, (d) Pascal’s principle.

       30. The rising of a hot air balloon is explained by (a) Pascal’s principle, (b) Bernoulli’s principle, (c) Archimedes’ principle, (d) none of these.

        31.The velocity of a car changes from 60 m/s to 45 m/s in 5 seconds. The magnitude of the car’s acceleration is (a) 21m/s2, (b) 35 m/s2, (c) 3m/s2, (d) 5m/s2.

        32.  A clam dropped by a sea gull takes 4 seconds to hit the ground. What is the sea gull’s height above the ground at the time the clam was dropped? (a) 90 m,           (b) 45 m , (c) 78 m, (d) 30 m.

         33. A single force of 63 N acts on a 7 kg block. What is the magnitude of the acceleration of the block? (a) 70 m/s2, (b) 9 m/s2, (c) 10 m/s2, (d) 5m/s2.

         34.  A net force of 15 N acting on a wooden block produces an acceleration of      3 m/s2 for the block. What is the mass of the block? (a) 18 kg, (b) 45 kg, (c) 5 kg,     (d) 12 kg.

         35.  A net force of 100 N accelerates a 20 kg block over a distance of 3 m. What is the work done by this net force? (a) 600 J, (b) 200 J, (c) 300 J, (d) 100 J.

        36. A 2 kg block is moving at a constant speed of 3 m/s. What is the kinetic energy of the block? (a) 6 J, (b) 12 J, (c) 9 J, (d) 18 J.

         37. A 7 N force imparts an impulse of 42 Ns to an object. The force acts on the object for a period of (a) 0.6 s, (b) 49 s, (c) 6s (d) 10 s.

          38.  What is the magnitude of the change in momentum produced when a force of 3 N acts on a 10 kg block for 5 seconds? (a) 1.5 kgm/s, (b) 3 kgm/s, (c) 50 kgm/s,          (d) 15kgm/s.

          39. A force of 30 N pushes down on the movable piston of a closed cylinder containing a gas. The piston’s area is 0.2m2. What pressure does this produce in the gas? (a) 6 pa, (b) 15 pa, (c) 60 pa, (d) 150 pa.  

           40. A block of wood of uniform density floats so that 35% of its volume is above water. The density of water is 1000 kg/m3. What is the density of the block?               (a) 350 kg/m3, (b) 750 kg/m3, (c) 650 kg/m3, (d) 150 kg/m3 .            

Sketch the typical structure of bands for a metal and for a semiconductor indicating which states are filled. Why do metals show the full rainbow upon thermal emission but semiconductors give off dominantly just one color?

Some beetles have wings that appear to “change color” and are “reflective” in different colors. Explain how this occurs?

A wire 80 cm long carries 11 A of current. From this wire, a loop of 90-turns is made and placed in a magnetic field of 6.50 Tat an angle of 35˚. In first experiment, a square loop is formed and in the second experiment, a circular loop is formed with same number of turns. Calculate the torque in each loop. Which loop produces more torque-the circular loop or the square loop? What is the reason for this change of torque in both loops?