These two waves travel along the same string: y1 = (3.52 mm) sin(1.75?x - 470?t) y2 = (5.93 mm) sin(1.75?x - 470?t + 0.736?rad).

What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.48 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude of the new resultant wave?

A freestyle skier is training for the Olympics. In this sport the skier starts at the top of the hill and skis straight towards a ramp. She then skis up the ramp and launches herself into the air. The skier and skis have a total mass of 70 kg. The coefficient between the skis and the snow is .05. The downhill slope is at a 40 degree angle to the horizontal.

a) Draw the free body diagram of the skier going down the hill(include all the forces acting on the skier)

b) The distance from the start of the run to the start of the uphill ramp is 40 m. What is the velocity of the skier as she enters the ramp?

c) The ramp is directed upwards from the slope at an angle of 70 degrees. Draw the free body diagram of the skier going up the ramp(the angle of the ramp should be from the horizontal)

d) The ramp is 10 m long. It has the same coefficient of dynamic friction as the slope. What is the skier's resultant velocity as she leaves the ramp?

e) What is the vertical height at the end of the ramp from the horizontal?

f) What is the skier's horizontal and vertical velocity as she leaves the ramp?

g) How high does the skier get off the ground during the jump?

h) Since she lands in water, the water level is the same level as the base of the ramp. How long is she in the air?

i) What is her horizontal translation from the end of the ramp until she enters the water?

College physics

1) A 600 g model rocket is on a cart that is rolling to the right at a speed of 4.0 m/s . The rocket engine, when it is fired, exerts a 9.0 N vertical thrust on the rocket. Your goal is to have the rocket pass through a small horizontal hoop that is 25 mabove the launch point. At what horizontal distance left of the loop should you launch?

2) A m1 = 5.2 kg box is on a frictionless θ = 36 ∘ slope and is connected via a massless string over a massless, frictionless pulley to a hanging m2 = 1.7 kg weight. What is the tension in the string once the box begins to move?

3) A 300 g block on a 54.0 cm -long string swings in a circle on a horizontal, frictionless table at 60.0 rpm. What is the speed of the block? What is the tension in the string?

A football kicker can give the ball an initial speed of 24 m/s. He is 45 m from the goalpost which has a crossbar 2.69 m high.

a) What is the smallest angle of elevation that he can kick the football and score a field goal?

b) What is the largest angle of elevation that he can kick the football and score a field goal?

The function
x = (8.5 m) cos[(5?rad/s)t + ?/3 rad]
gives the simple harmonic motion of a body. At t = 7.3 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion?

An insulated cylinder fitted with a movable piston to maintain constant pressure initially contains 100 g of ice at -10 C. Heat is supplied to the contents at a constant rate by a 100 W heater. Make a graph showing temperature of the cylinder contents as a function of time starting at t = 0, when the temperature is -10 C and ending when the temperature is 110 C. ( c = 2.0 kJ/ kg K for specific heat of ice from -10 to 0 C and of the steam from 100 to 110 C)

A tank circuit in a radio transmitter is a series RCL circuit connected to an antenna. The antenna broadcasts radio signals at the resonant frequency of the tank circuit. Suppose that a certain tank circuit in a shortwave radio transmitter has a fixed capacitance of 1.2 x 10-11 F and a variable inductance. If the antenna is intended to broadcast radio signals ranging in frequency from 4.6 MHz to 8.4 MHz, find the (a) minimum and (b) maximum inductance of the tank circuit

A long cylindrical metal pipe with inner diameter 0.2m and outer diameter 0.22 cm carries 2A current uniformly distribted. what is the magetic field at all points in space?

A beam of electrons is shot into a uniform downward electric field of magnitude 1.10 103 N/C. The electrons have an initial velocity of 1.11 107 m/s, directed horizontally. The field acts over a small region, 5.00 cm in the horizontal direction. (a) Find the magnitude and direction of the electric force exerted on each electron. magnitude 1.76e-16 N Correct: Your answer is correct. direction Correct: Your answer is correct. (b) How does the gravitational force on an electron compare with the electric force? The gravitational force is much smaller than the electric force. The gravitational force is much bigger than the electric force. Correct: Your answer is correct. (c) How far has each electron moved in the vertical direction by the time it has emerged from the field? (d) What is the electron's vertical component of velocity as it emerges from the field? (Up is the positive y-direction.) (e) The electrons move an additional 19.4 cm after leaving the field. Find the total vertical distance that they have been deflected by the field.

sorry found a solution!

At some instant, an alpha particle(q=+2e) has the coordinates(3.0,0.0,0.0)(nm) and is moving along the positive x-axis with 500km/s while an electron at (0.0,4.0,0.0)(nm) is moving along the negative y-axis with 1000km/s.
A)SHOW ALL WORK
Find the magnitude and direction of the total magnetic field at the location(3.0,4.0,0.0)(nm)
B)SHOW ALL WORK
Find the magnitude and direction of the magnetic forces felt by the electron and alpha particle.

A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is μ1 = 0.295 and the coefficient of friction between the ladder and the wall is μ2 = 0.153. Determine the maximum angle with the vertical the ladder can make without falling on the ground.

       A) 0.
       B) W.
       C) 2W.
       D) (1/2)W.
       E) W^2.

A sphere with radius R has a charge density given by

ρ = cr³.

Use Gauss's law to find an expression for the magnitude of the electric field at a distance r from the center of the sphere, where we have the following. (Use the following as necessary: c, r, R, and ε₀. Assume c is positive.)

(a)    

r < R

E =

  

(b)    

r > R

E =

1)    A 2.00-kg package is released on a 53.1