A mass is launched up a ramp so that the velocity of the mass at the bottom of the ramp is 11.0 m/s. The coefficient of friction between the ramp and the mass is 0.27, and the ramp angle is 41 degrees. How far up the ramp will the mass slide?

Please try to explain how you get your answer.

You’re the infamous captain of a roving band of pirates and you recently captured a castle

full of treasures. Another band of marauding pirates are trying to storm your castle. You have

a single cannon that can fire cannon balls from over the castle walls and down to the ground

below. In order to successfully hit the pirates on the ground, you need to know the

typical

launch speed of cannon ball fired from your cannon.

To determine the launch speed of the cannon ball, you fire a cannon ball and observe that the

ball hits a target

R

meters away as measured from the base of castle’s wall. The cannon ball

is fired horizontally at a height of

h

meters above the ground. Using these data, determine the

cannon ball’s time of flight

t

and its launch speed

v

0

. Your answer for time of flight should be

expressed in terms of

h

and

g

and your answer for launch speed should be expressed in

h

,

g

,

and

R

only.

A long coaxial cable with a radius s carries a uniform line charge Q on its inner conductor and a uniform surface charge -Q on its outer conductor.

a) Sketch the situation including the electric field E inside and outside the cable.

b) Find the electric field inside and outside the cable.

c) Plot |E| as a function of the radius s.

Ball 1 has an inertia of 0.500 kg and ball 2 has an inertia of 0.600 kg . Ball 1 is moving away from you at 5.0 m/s, and you decide to throw ball 2 at it to make it go faster. The balls collide head-on, and the coefficient of restitution for the collision is 0.83. A- How fast must ball 2 be traveling in order to double the velocity of ball 1? Express your answer with the appropriate units. B- What is the initial relative velocity of the two balls? Express your answer with the appropriate units. C- What is their reduced inertia? Express your answer with the appropriate units. D-What percentage of the original kinetic energy is convertible? E-What are the final velocities of the two balls immediately after the collision? Enter your answers numerically separated by a comma.

An LRC series circuit consists of a 3.15 H inductor, a 6.36 ohm resistor, and a 5.48 microFarand capacitor. The combination is connected to an AC votage source that has a peak voltage of 147 V and an angular frequency of 441 rad/s. What is the peak voltage measured across the inductor?

A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 79.2 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.90 m/s² until it reaches an altitude of 1060 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s². (You will need to consider the motion while the engine is operating and the free-fall motion separately.)

(a) For what time interval is the rocket in motion above the ground?

(b) What is its maximum altitude?

(c) What is its velocity just before it hits the ground?

A 0.5-kg rock is thrown with a velocity of 6 meters per second from a height of 10 meters. What is the total energy? (Use g=10 m/s2. The answer will be in joules, but you DO NOT NEED to write the units

A 1.90-kg particle moves in the xy plane with a velocity of v with arrow = (4.00 i − 3.70 j) m/s. Determine the angular momentum of the particle about the origin when its position vector is r with arrow = (1.50 i + 2.20 j) m.

As a city planner, you receive complaints from local residents about the safety of nearby roads and streets. One complaint concerns a stop sign at the corner of Pine Street and 1st Street. Residents complain that the speed limit in the area ( 89 km/h) is too high to allow vehicles to stop in time. Under normal conditions this is not a problem, but when fog rolls in visibility can reduce to only 47 meters. Because fog is a common occurrence in this region, you decide to investigate. The state highway department states that the effective coefficient of friction between a rolling wheel and asphalt ranges between 0.842 and 0.941 , whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt ranges between 0.550 and 0.754 . Vehicles of all types travel on the road, from small cars with a mass of 627 kg to large trucks with a mass of 4271 kg. Considering that some drivers will brake properly when slowing down and others will skid to stop, calculate the minimum and maximum braking distance needed to ensure that all vehicles traveling at the posted speed limit can stop before reaching the intersection. maximum: _____m minimum: _____m Given that the goal is to allow all vehicles to come safely to a stop before reaching the intersection, calculate the maximum desired speed limit. maximum speed limit: ____km/h

I've been getting confused with how to actually take a wave and convert into a fourier spectrum and was wondering if I could get an explanation?

A line of charge 2.0 m long has 50.0 nC of charge uniformly distributed along it. (a) Calculate the electric field 0.25 m above the center of the line. (b) If the field point were moved from 0.25 m to 1.0 m, by what factor does the field increase/decrease? (c) How does this compare with moving the field point from 0.25 m to 1.0 m away from a point charge?

A uniform board of length L=.75m is sliding along a smooth, frictionless horizontal plane. The board slides across a boundary with a rough horizontal surface. The coefficient of kinetic friection between the board and another second surface is μk= .31. The board has an initial speed of v=2.5m/s. How far past the boundary is the left end of the board when the board comes to rest? The answer was .654m, but I'm not getting any answer close to it, please help!

Can't get a good picture to post, but here's the link to one (just the picture not the questions):

https://d2vlcm61l7u1fs.cloudfront.net/media/5f3/5f379a04-82e2-4606-a5df-290b079863c0/php4injpw.png

Two people are headed towards each other on skateboards and experience very little friction or airresistance. One person has massm1= 40 kg and one has mass m2= 80 kg. If they are going equal velocities(v = 3 m/s)before the collision, which direction will they be going afterward? How fast?What if we allow the lighter person to start off on a hill of height h. What should h be so that after the collision both skateboarders have stopped?

Consider a solid, insulating sphere of radius a = 5.00 cm carrying a net positive charge of Q = 3.00 μC uniformly distributed throughout its volume. Concentric with this sphere is a hollow, conducting spherical shell with inner radius b = 10.0 cm and outer radius c = 15.0 cm having a net negative charge of q = -1.00 μC.

a) Give the expression from Gauss’s Law for the magnitude of electric field inside the insulating sphere for 0 ≤ r ≤ a, and use this expression to calculate the value of the electric field at r = 0 and r = a = 5.00 cm.

b) Since the spherical shell is conducting, it contributes nothing to the electric field inside its hollow space. Give the expression from Gauss’s Law for the magnitude of electric field for a ≤ r < b, and use this expression to calculate the value of the electric field at r = a = 5.00 cm and r = b = 10.0 cm. (Note your value here of the electric field at r = a should agree with your result above.)

c) From the properties of conductors in electrostatic equilibrium, what is the magnitude of the electric field inside the conducting shell for b < r < c?

d) Because of your answer above, what must be the charge on the inner surface of the hollow conducting shell?

e) Given the net charge carried by the hollow conducting shell, what must be the charge on its outer surface?

f) Using Gauss’s Law, determine the expression for the magnitude of electric field for r > c, and use this expression to calculate the value of the electric field at r = c = 15.00 cm and r = 25.0 cm.

g) Make a graph of the magnitude of the electric field for 0 ≤ r ≤ 25.0 cm. Draw this to scale specifying your results calculated above.

Contrary to popular belief, lightening rods don’t really attract lightening strikes. How do they work?