Hill Definition and 313 Threads

Homework Statement First Problem: A cyclist coasts down a 3 degree hill at a constant speed of 2.2 m/s. When the cyclist pumps hard, they can descend the hill at 12.6 m/s. Using the same power, what is the speed the cyclist can climb uphill? The cyclist and bicycle weigh 70 kg. Assume that...

A skier starts from a hill 1000m high... Homework Statement A skier starts from a hill 1000m high. She skies down the slope a distance of 800m and passes a tree. During this time she has covered a horizontal distance of 700m. a) Calculate her velocity, in km/h, as she passes the tree...

Homework Statement A basketball rolls without slipping down an incline of angle θ. The coefficient of static friction is μs. Model the ball as a thin spherical shell. (Use any variable or symbol stated above along with the following as necessary: m for the mass of the ball and g.) ] a) Find...

Hi, I am worried my son probably going heading down hill with absent/missing ACA A1 segment. He is also has very poor vision (OA) with nystagmus. He has hemiplegic event last years by treating his sinus issue somehow has positive effect for 8~10 months no hemiplegic events. Last week he had...

1. Hi, I'm trying to find the speed that a truck rolling down a hill which brakes have failed. The hill has a drop of 85 meters vertically and a horizontal of 1510 meters. The hill is like a right angle where the bottom right is the 90 degrees. The bottom left is 3.2 degrees and the top right...

Work energy question. Fish on a spring. Question has been changed as I figured it out. New one is on fish and springs Homework Statement If a fish is attached to a vertical spring and slowly lowered to its equilibrium position, it is found to stretch the spring by an amount d. If the...

a. Its speed increases and acceleration decreases b. Its speed decreases and acceleration increases c. Both increase d. Both remain constant e. Both decrease Can anyone help with this little problem please? I'm new to this forum thing. So any advice on etiquette would be appreciated...

Are there any large kits I could buy to practice circuits from the book? What about kits for any other famous EE textbooks? Especially for digital circuits? And how expensive would they be? == I know that it varies from person to person - but - how long do the circuits in the second half of...

Homework Statement A rope attached to a 18.0kg wood sled pulls the sled up a 22.0 degree snow-covered hill. A 9.00kg wood box rides on top of the sled. Mass of Sled: 18kg Mass of Box: 9kg Angle of Incline: 22 Deg If the tension in the rope steadily increases, at what value of the...

Homework Statement A car traveling at 22.0 m/s runs out of gas while traveling up a 24.0deg slope. How far up the hill will it coast before starting to roll back down? Homework Equations (v_final)^2 = (v_initial)^2 + 2*(a_parallel)*(x_final - x_initial) ...and some trig The Attempt...

Hi everyone, I have a simple question. 2 identical vehicles(tyres, shape, design) are set free from rest, going downhill. One vehicle is carrying a large weighted object while the other one is not.Hence, one vehicle has a larger mass than the other. Which vehicle will reach downhill first...

Homework Statement A boulder of weight "w" rests on a hillside that rises at a constant angle "a" above the horizontal. The boulder's weight is a force on the boulder that has a direction vertically downward. In terms of "w" and "a", what is the component of the weight of the boulder in the...

Imagine that we sent some ball by cannon from the Earth directly to the Sun. To reach the sun the ball should have Escape Velocity-11,2 km/sec and due to Earth’s gravity this velocity will continuously decrease until the point where the gravity of the Sun and Earth are equal. After this point...

Homework Statement It is found (through and error) that you will "feel" weightless when you travela round at 42 mph over a smoothy rounded hill. What is the radius of the hill? Homework Equations I'm not sure what equation to use with this problem The Attempt at a Solution the...

Hi there, I'm studying for mechanics final and I came across a question I can't figure out how to do. The question is as follows: A person is on a sled of mass 10 kg that’s moving to the right on a frictionless surface at 4 m/s. Just before the sled goes down a hill the person of mass 50 kg...

(An explanation) My physics teacher recently passed away, and had been absent due to his illness. We had last started on acceleration, but the substitute had been working us on Kinetic, Potential energy, and Momentum. We're having a test, and like myself, none of my classmates are ready...

Homework Statement A small box is at the bottom of a ramp tilted at an angle of 40 degrees above horizontal. The box is given a push and it then slides up the ramp 2.0 seconds before sliding back down. The coefficient of sliding friction is 0.15. Find the time for it to slide back to the...

Homework Statement A 69.7-kg skier coasts up a snow-covered hill that makes an angle of 26.8° with the horizontal. The initial speed of the skier is 6.16 m/s. After coasting 1.98 m up the slope, the skier has a speed of 3.95 m/s. Calculate the work done by the kinetic frictional force that...

how to solve this equation using mesh point method? and what is the mesh point?

Homework Statement Hi I have a slight problem. Please comment on the question and solution. A car of mass 2 Tonnes arrives at a foot of a hill, traveling at a speed of 10m/s and reaches the top of the hill with a speed of 5m/s. The hill is 500m long and rises 1 in 125. If there is...

Homework Statement The shape of a hill is described by the height function: h(x,y) = \frac{1}{\sqrt{2+x^2+y^4}} a) find the gradient \nabla h(x,y) b) find the maximum slope of the hill at the point \bf{r_0 = i+j} [or (x,y) = (1,1)] c) If you walk NorthEast (in the direction of the...

A car drives over the top of a hill that has a radius of 50m. What maximum speed can teh car have without flying off the road at the top fo the hill? Soooo I know I'm supposed to treat the hill like a circle...no coefficient of friction given, not sure if I need that though, not really sure...

Homework Statement A car is traveling on a circular hill of radius 22 meters. When it reaches top of hill, it loses contact with surface and becomes a projectile. How far will it travel horizontally before it returns to ground in meters? Homework Equations v=\sqrt{}Rg The Attempt...

Homework Statement A loaded penguin sled weighing 66 N rests on a plane inclined at angle θ = 18° to the horizontal (Fig. 6-23). Between the sled and the plane, the coefficient of static friction is 0.27, and the coefficient of kinetic friction is 0.18. (a) What is the minimum magnitude of the...

http://i111.photobucket.com/albums/n149/camarolt4z28/14q.jpg?t=1284229871 Here is my work. My denominator is different than the book's answer for (a). I still don't know how to maximize alpha for (b) or maximize the range for (c)...

Homework Statement I cannot figure out how to find the decryption key for a hill cypher. My textbook and a bunch of websites say that is just the inverse of the encryption key, but that is not working for me. Homework Equations A = [1,2,3] [4,5,6] [7,8,10] The Attempt at a...

The Hill sphere of a celestial object is the area in which it is the dominating force in the area. I was wondering how the formula was determined. If the mass of the smaller body is m, and it orbits a heavier body of mass M with a semi-major axis a and an eccentricity of e, then the radius...

Hi all, Embarassed to ask as seems simple, i have done the maths but answer seems too low! - have looked all over for worked example to follow but no luck :( I have a free rolling mass of 2200kg that is being driven down a slope at 0.204m/s. This mass must be braked to a stop in 0.5m i...

Homework Statement The height of a certain hill is given by h(x,y)=10(3xy-4x^2-2y^2-11x+17y+9) (a) How steep is the slope in the x and in the y direction (in meters per kilometer) at the point 1 km North and 1 km East of Dandenong? (b) In what direction is the slope the steepest at that...

Homework Statement A rollercoaster cart mass = 55kg velocity = 5m/s height = 5m what is the total energy that the cart has at this position? Homework Equations would s=d/t be relevant? The Attempt at a Solution already calculated gravitational potential energy: GPE = m*g*h =...

A bicycle wheel is rolled down a hill that is 8 m high, Determine the linear speed of the wheel at the bottom of the hill if the wheel is moving initially at .5 m/s I= 1/2mr^2 mgh=1/2mv^2 I know it is set up like a KE equation, and I also know I am missing a variable to solve for...

1. The problem statement, all variables and given known data A solid disk of radius 1.60 m and mass 2.30 kg rolls without slipping to the bottom of an inclined plane. If the angular velocity of the disk is 4.9 rad/s at the bottom, what is the height of the inclined plane? Homework...

1. A car of mass 1100 kg starts from rest at sea level and climbs a hill of altitude 50 m. At the top of the hill the car has a speed of 25 m/s. From the top of the hill the driver turns off the engine and coasts down to an altitude of 15 m. Assume the friction and the air resistance to be...

Homework Statement A boy drags his sled of 90.0N at a constant speed up a 18 degree hill. He pulls with a 40.0N force on a rope which is 35 degrees above the horizontal. a) What is coefficient of kinetic friction between the sled and the snow? Homework Equations Coefficieint = Force...

Homework Statement I am studying for my physics exam on tuesday and i came across this question and i am not sure why this equation was used. A bicycle and bicyclist of combined mass 62 kg go over a circular hump of radius 6.0 m at a speed of 5.0 m/s. What is the normal force on the bicycle...

Problem With Maximum Acceleration up Hill! Homework Statement cross-country skier is going up a slope at angle 5º to the horizontal. She is skating so only her skis provide the propulsion (i.e. she does not push with her ski poles). The static and kinetic friction coefficients for this...

Homework Statement cross-country skier is going up a slope at angle 5º to the horizontal. She is skating so only her skis provide the propulsion (i.e. she does not push with her ski poles). The static and kinetic friction coefficients for this situation are μs = 0.12, μk = 0.07 respectively...

Homework Statement 67. How fast must a cyclist climb a 6 degrees hill to maintain a power output of 0.25 horse power? Neglect work done by friction and assume the mass of cyclist plus bicycle is 70 kg. A. 2.6 m/s Homework Equations W = mgh = Fdsin\theta= \frac{1}{2}mv^{2}The Attempt...

Homework Statement 3.5 kg box is launched from a spring that has spring constant 1200 N/m. The spring is initially compressed by an amount 1.7 m. The box slides along the frictionless track shown below and into a second spring that has a spring constant 900 N/m. It compresses the spring by an...

Homework Statement An 0.80-kg cart rolls down a 30.0° hill from a vertical height of 0.50 m. The distance that the cart must roll to the bottom of the hill is 0.50 m/sin 30.0°=1.0 m. The surface of the hill exerts a frictional force of 5.0 N on the cart. Does the cart roll to the bottom of the...

Homework Statement Driving an automobile down a slippery, steep hill, a driver brakes and skids at a constant speed for 10m. If the automobile mass is 1700kg and the angle of the slope of the hill is 25 degrees, how much work does gravity do on the car during the skid? How much work does...

A car of mass 1500 kg goes down a hill with a height of 50m. when the car reaches the bottom of the hill the speed is 15 m/s. how much energy was lost due to friction and air resistance? hey, I am having trouble with my home work T.T I have no clue how to do it if someone can help, much would...

Homework Statement A particle is moving in a potential V(R) = \frac{1}{2} \left( \frac{1}{R} - \frac{1}{R^2} \right)^2. If you plot this, is has a well at R = 1 with height V(1) = 0 and a hump at R = 2 with height V(2) = 1/32. Question: If a particle has energy 1/32, show that it takes...

Homework Statement A truck weighing 3.0 *10^4 Newtons was driven up a hill that is 1.6*10^2 meters long to a level area that is 8.0* 10^2 above the starting point. If the trip look 480 seconds, what was the minimum power required? Homework Equations P= W/t The Attempt at a Solution...

Homework Statement A child and sled with a combined mass of 50.0 kg slide down a frictionless hill. If the sled starts from rest and has a speed of 12.0 m/s at the bottom, what is the height of the hill? Homework Equations KE = 1/2 m v^2 PE = mgh The Attempt at a Solution KE = 1/2...

Homework Statement A 68kg skier approaches the foot of a hill with a speed of 15m/s. The surface of the hill slopes up at 40 degrees above the horizontal and has the coefficients of static and kinetic friction of 0.75 and 0.25, respectively. Use energy conservation to find the maximum height...

Explanation of a cart rolling up a hill as it relates to Kinetic energy,total energy,and potential ener? For example let's saywe have a cart rolling up a hill: A)Why is the kinetic energy highest at the bottom of the hill ? B)Why is the total energy the same throughout? C)Why is the...

Homework Statement My attempt at a solution was to say: Eki = Ekf + Eg and my Ek 's all has 1/2 on them... other than that, my solution is essentially the same thing. I end up with sqrt( vi2 - sg(delta)h ) = vf What's up with this?

Homework Statement A solid uniform marble is rolling without slipping when it approaches the base of a hill with a speed v0. Find the maximum height above the base that this marble will reach if the hill is rough enough to prevent slipping. Homework Equations Since there is no...

Homework Statement A girl coasts down a hill on a sled, reaching level ground at the bottom with a speed of 6.2 m/s. The coefficient of kinetic friction between the sled’s runners and the hard, icy snow is 0.059, and the girl and sled together weigh 736 N.The acceleration of gravity is 9.81...