You need to use your cell phone, which broadcasts an 833 MHz signal, but you're in an alley between two massive, radio-wave-absorbing buildings that have only a 15 m space between them.

What is the angular width, in degrees, of the electromagnetic wave after it emerges from between the buildings?

1)A projectile is launched at some angle above the horizontal. It is in the air for 3.3 seconds before returning to the same height it was launched. If its range is 57 meters in the +x direction, what is the x component of its velocity in m/s when it is at its maximum height?

2)A projectile is launched at 33 degrees above the horizontal at a speed of 29 m/s from the edge of a building which is 69 meters above the ground. What
is the maximum height the projectile reaches above the ground in meters?

3)A projectile is launched at 25 degrees below the horizontal at a speed of 37 m/s from the edge of a building which is 32 meters above the ground. What
speed (magnitude of velocity) does it strike the ground in m/s?

A point charge q is placed a distance L from a grounded plate (z=0). Calculate the charge distribution on the plate.

You are asked to design a spring that will give a 1080 kg satellite a speed of 2.65 m/s relative to an orbiting space shuttle. Your spring is to give the satellite a maximum acceleration of 5.00g. The spring's mass, the recoil kinetic energy of the shuttle, and changes in gravitational potential energy will all be negligible.

A)What must the force constant of the spring be?

Take the free fall acceleration to be g = 9.80 m/s2 .

b)What distance must the spring be compressed?

A 2000-kg truck is sitting at rest (in neutral) when it is rear-ended by a 1000-kg car going 20m/s .After the collision, the two vehicles stick together.

1)What is the final speed of the car-truck combination?

2)What is the kinetic energy of the two-vehicle system before the collision?

3)What is the kinetic energy of the system after the collision?

4) Based on the results of the previous parts, what can you conclude about which type of collision this is? Elastic, Inelastic, or totally inelastic?

5) Calculate the coefficient of restitution for this collision.

Capacitors won't hold a charge indefinitely; as time goes on, charge gradually migrates from the positive to the negative plate. We can model this as a discharge of the capacitor through an internal "leakage resistance." A 0.49F capacitor charged to 3.7V will initially discharge with a leakage current of 0.25mA .

I found the leakage resistance to be 1.5

Question 1: Answer, True or False

The index of refraction has units of distance.

True

False

When we make multiple measurements, we can have more confidence in the index of refraction determination.

True

False

Glass is more dense than water.

True

False

It is possible to exceed the speed of light in a vacuum

True

False

A tangent line is parallel to a normal line

True

False

The index of refraction is unitless.

True

False

There is a special case when the index of refraction is less than 1.

True

False

3. Work is inputted to isothermally move a 1500 Kg mass from an elevation of zero to 35m and to change it velocity. The initial velocity of the mass is 0.55 m/s. The drag work for this process is described by a force which varies over the distance travel, F = ax + b; where F is in Newtons, the coefficient (a) has units of N/m and the constant (b) has units of N. For this application a = 4.1 N/m and b = 700 N. The force is applied over a distance of 1730 m. There is a heat loss from friction of 1.1(106 ) J during this process. Determine the final velocity of the mass.

3b. The input work for this process is from a combustion engine that has an efficiency of 0.28. The heating value of the fuel is 30.0 MJ/liters and its cost is $0.83/liter. Determine the volume of fuel required and its cost to perform the process described in (3.).

Please solve with sketches and clear equations. Thanks!

What is the intensity in W/m² of a laser beam used to burn away cancerous tissue that, when 93.5% absorbed, puts 493 J of energy into a circular spot 2.13 mm in diameter in 3.70 s?

_______________W/m²

How many times more intense is this than the maximum intensity of direct sunlight (about 1360 W/m²)?

_______________

In a pool game, the cue ball, which has an initial speed of 7.0 m/s, make an elastic collision with the eight ball, which is initially at rest. After the collision, the eight ball moves at an angle of 25° to the original direction of the cue ball.

(a) Find the direction of motion of the cue ball after the collision (______) I got the 60° which is right.

(b) Find the speed of each ball. Assume that the balls have equal mass.

(_____m/s)

(_____m/s)

A cylindrical specimen of a brass alloy 8.3 mm (0.33 in.) in diameter and 76.7 mm (3.02 in.) long is pulled in tension with a force of 7360 N (1655 lbf); the force is subsequently released.
(a) Compute the final length of the specimen at this time. The tensile stress-strain behavior for this alloy is shown in Animated Figure 7.12.
(b) Compute the final specimen length when the load is increased to 20300 N (4563 lbf) and then released.

A student decides to move a box of books into her dormitory room by pulling on a rope attached to the box. She pulls with a force of 83.2 N at an angle of 28.0° above the horizontal. The box has a mass of 20.0 kg, and the coefficient of kinetic friction between box and floor is 0.300. (Indicate the direction with the sign of your answer.)

(a) Find the acceleration of the box. (Assume that the +x-axis is to the right and the +y-axis is up along the page.)

(b) The student now starts moving the box up a 10.0° incline, keeping her 83.2 N force directed at 28.0° above the line of the incline. If the coefficient of friction is unchanged, what is the new acceleration of the box? (Assume that the +x-axis is along the incline and the +y-axis is upwards and perpendicular to the incline.)

PLEASE EXPLAIN STEPS

A long solenoid has 110 turns/cm and carries current i. An electron moves within the solenoid in a circle of radius 2.50 cm perpendicular to the solenoid axis. The speed of the electron is 0.040 c (c = speed of light). Find the current i in the solenoid.

An object (A) of mass m A = 28.0 kg is moving in a direction that makes angle of 50° south of west with a speed v A = 4.90 m/s, while object (B) of mass m B = 18.0 kg is moving due south with a speed v B = 7.85 m/s. The two objects collide and stick together in a completely inelastic collision. Find the magnitude of the final velocity of the two-object system after the collision.

two happy astronaunts, each having a mass of 75 kg are connected by a rod length 10.0 and a mass 140 kg. The system is isolated in space, orbiting the center of the rod at an angular speed of 0.50 rad/s counterclockwise. Treat the astronaunts as point masses. The moment of inertia of a rod is I=(1/12)ML^2

what is the initial moment of intertia of the total rod-and-astronaunts system?

By pullinh on the rod, the astronaunts shorten the distance between them to 5.0 m. What is the final angular velocity of the rod-and-astronauts system in rad/s?