A pitched baseball (m=0.3 kg) reaches a catcher’s glove travelling at a velocity of 28 m/s. Calculate the ball’s: A) momentum, B) kinetic energy. How much impulse is required to catch the ball? If the hand moves backward 32cm while the person is catching it, what is the average force applied to the ball? How much time will it take before the ball stops? What is the average power of this contact?

Spaceman Spiff overflies the earth 4 times as you observe him. For each of the velocities below calculate how long and how tall Spaceman Spiffs spaceship will appear to be to you if he measured it as 100 m in length and 10 m in height just before he overflew the earth.

A string or rope will break apart if it is placed under too much tensile stress. Thicker ropes can withstand more tension without breaking because the thicker the rope, the greater the cross-sectional area and the smaller the stress. One type of steel has density 7850 kg/m3 and will break if the tensile stress exceeds 7.0×108N/m2. You want to make a guitar string from a mass of 3.5 g of this type of steel. In use, the guitar string must be able to withstand a tension of 900 N without breaking. Your job is the following.

1.Determine the maximum length the string can have.

2.Determine the minimum radius the string can have

3.Determine the highest possible fundamental frequency of standing waves on this string, if the entire length of the string is free to vibrate.

An 7.90-cm-diameter, 310 g solid sphere is released from rest at the top of a 1.60-m-long, 17.0 ∘ incline. It rolls, without slipping, to the bottom.

What is the sphere's angular velocity at the bottom of the incline?

What fraction of its kinetic energy is rotational?

1. The spring of a toy gun has a force constant of k = 533 N/m and negligible mass. The spring is compressed the length of the gun barrel, 7.25 cm, and a 0.168-g ball is placed against the compressed spring. A constant frictional force of 5.45-N acts on the ball as it travels through the barrel. The ball leaves the barrel at the moment that it loses contact with the spring. The toy gun is ‘fired’ at a height of 1.33-m above the ground. Ignore air resistance.

1. Show how to determine the speed of the ball as it leaves the barrel when the toy gun is oriented horizontally.

2. Show how to determine the distance that the ball travels horizontally, and its speed of impact.

3. Show how to determine the speed of the ball as it leaves the barrel when the toy gun is oriented vertically.

4. Show how to determine the maximum height attained by the ball, and the speed of its impact when it lands on the ground.

If a roadway is banked (super elevated), a car can round the corner at a higher speed than an unbanked curve. What is the maximum speed a 1200kg car could navigate through an 85m radius turn banked at 16.7° if the maximum value of m_s=0.875?

What is the main advantage of FTIR spectroscopy compared to traditional absorption based spectroscopy, which require dispersive elements. Explain why?

1) What is the highest order dark fringe, m,m, that is found in the diffraction pattern for light that has a wavelength of 621 nm and is incident on a single slit that is 1470 nm?

2) You stand on a straight desert road at night and observe a vehicle approaching. This vehicle is equipped with two small headlights that are 0.637 m apart. At what distance, in kilometers, are you marginally able to discern that there are two headlights rather than a single light source? Take the wavelength of the light to be 555 nm and your pupil diameter to be 5.17 mm.

Describe the Physics behind how many traffic lights change when a car rolls up to the intersection. Explain with figure as well

The mass m is dropped from a height h. Find the magnitude of Coriolis deflection and its direction (i.e north south east or west). You can assume location
being in the northern hemisphere at latitude θ and that rotation of the Earth is slow.

Write the three Newton’s Laws of motion and give one example for each Law:

Newton’s First Law:

Newton’s second Law:

Newton’s Third Law:

b)What is the difference between elastic and inelastic Collison in terms of total momentum and total kinetic energy ?

At a rock concert, a dB meter registered 130 dB when placed 2.2 m in front of a loudspeaker on the stage.

a. What was the power output of the speaker, assuming uniform spherical spreading of the sound and neglecting absorption in the air?

b. How far away would the sound level be a somewhat reasonable 95 dB ? answer with units

A light source emits a photon during a time interval of 4.87 multiply.gif 10-8 s. a) Find the minimum uncertainty in the photon's energy. b) Find the minimum frequency bandwidth of the light.

A generator with an rms voltage of 130 V is connected in series to a resistor 3.65 kΩ and a capacitor 3.00 μF .

1. At what frequency must this circuit be operated for the current to lead the voltage by 29.0 ∘? (Answer Hz)

2. Using the frequency found in part A, find the average power consumed by this circuit. (Answer in W)

------------------------------------------

A 1.6-m wire is wound into a coil with a radius of 3.2 cm.

1.

If this coil is rotated at 94 rpm in a 7.2×10⁻²-T magnetic field, what is its maximum emf?

Express your answer using two significant figures.(In mV)

(i) Find the magnitude of magnetic field inside a long, ideal solenoid of length L, with N turns and carrying current i. Demonstrate your knowledge of Ampere’s Law by constructing any relevant Amperian loop and integrating along its length. (ii) Two long solenoids that are coaxial, each carry current i, but in opposite directions. The inner solenoid with radius a has n1 turns per unit length, while the outer solenoid with radius b has n2 turns per unit length. Now apply the magnetic field expression you just derived to find the magnetic field inside the inner solenoid.