What is Hill: Definition and 316 Discussions

A hill is a landform that extends above the surrounding terrain. It often has a distinct summit.

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  1. S

    How Does Projectile Angle Affect Range When Fired Up a Sloped Hill?

    Homework Statement A projectile is fired with initial speed v0 at an elevation angle (alpha) up a hill of slope (beta) (alpha > beta). a) How far up the hill will the projectile land? b) At what angle (alpha) will the range be a maximum? c) What is the maximum range? Homework...
  2. U

    Force up inclinded hill question

    Homework Statement a 100 kg trollley is being pushed up a rough 30degree incline by a constant force, F. the frictional force Ft between the incline and the trolley is 110N. determine the value of F that will move the trolley up the incline at a constant velocity of 5ms^1? thanks my 1st...
  3. A

    Slanted Gravity: A boy on a hill

    Homework Statement A boy stands at the peak of a hill which slopes downward uniformly at angle \phi . At what angle \theta from the horizontal should he throw a rock so that is has the greatest range. (Source: Introduction to Mechanics by Kleppner and Kolenkow) Homework Equations I suppose...
  4. F

    Maximum potential of a sliding box down a hill

    1. Maximum potential of a sliding box down a hill 1. A 150 kg box (with dimensions of 1.30 m on a side) sits at the top of a hill 4.35 m long angled at 30.0° to the horizontal. The box has 250 loops of wire wrapped around it. The loops lie in the plane of this paper. The box is allowed to slide...
  5. D

    How Far Will a Car Slide Uphill vs Downhill When Braking?

    Homework Statement Car is driving up the hill with speed of 60 km/h. Angle of incline is 17°. Seeing barrier on the road, the driver suddenly stops (breaks the wheels) and starts to slide. If koef. of fiction is \mu=0.6 what is the distance between breaking point and the point when cars stops...
  6. C

    Block move down the curved hill and hit attached block spring with diagram

    A 100grams block is moving at 2m/s down the curved hill. The block slides along the smooth surface and collides elastically with the 400gram block. The 400gram block is initially at rest and is attached to an ideal spring with spring constant of 500N/m a)Find the maximum distance the spring...
  7. C

    Block move down the curved hill and hit attached block spring

    A 100grams block is moving at 2m/s down the curved hill. The block slides along the smooth surface and collides elastically with the 400gram block. The 400gram block is initially at rest and is attached to an ideal spring with spring constant of 500N/m a)Find the maximum distance the spring...
  8. Z

    Centripetal Force and G Forces while travelling over a hill

    [SOLVED] Centripetal Force and G Forces while traveling over a hill Homework Statement Hi everyone - I've had some problems wrapping my head around the ideas behind centripetal force while traveling over a hill, and, at wits end after journeying for hours through sites which are either...
  9. E

    The missing Indian Hill Guide (ftp:ftp.cs.washington.edu/pub/cstyle.tar.Z)

    Hi Ho! Could someone please help me in obtaining the latest Recommended C Style and Coding Standards (Updated Indian Hill Guide)? The file cannot be found any longer at [PLAIN]ftp://ftp.cs.washington.edu/pub/cstyle.tar.Z[/URL]. I don't know the reason why the file is missing from the...
  10. M

    Need help finding distance of skier going down a hill Help

    Homework Statement A skier on a slope inclined at 4.7Degrees to the horizontal pushes on ski poles and starts down the slope. The initial speed is 2.7m/s. The coefficient of kinetic friction between skis and snow is 0.11. Determine how far the skier will slide before coming to rest...
  11. B

    How High Will a Toboggan Go Up an Icy Hill?

    Homework Statement At the base of a frictionless icy hill that rises at 29.0deg above the horizontal, a toboggan has a speed of 12.0 m/s toward the hill. How high vertically above the base will it go before stopping? Homework Equations Wtot=K2-K1 K=1/2mv^2 K2=1/2mv^2=K1+Wtot The...
  12. C

    How can the range of a projectile fired at an angle up a hill be calculated?

    the following problem is from the 5th edition of Thorton and Marion's "Classical Dynamics" ch.2 problem 14 p.92 Homework Statement A projectile is fired with initial speed v_0 at an elevation angle of alpha up a hill of slope beta (alpha > beta). (a) how far up the hill will the...
  13. D

    Work Performed by Force F on Body of Mass m up a Hill

    I've got a problem here from Irodov (it is a very well known physics book). 1.121) A body of mass m was slowly hauled up the hill by a force F which at each pont was directed along a tangent to the trajectory. Find the work performed by this force, if the height of the hill is h, the length of...
  14. P

    Is Silbury hill near stonehenge an egyptain pyramid?

    You often hear people talking about stonehenge but not so many people have heard of its close neighbour Silbury Hill - the biggest man-made hill in Europe.Silbury Hill was constructed at around 2700 BC about the same time as the Step Pyramid in Egypt. Is Silbury Hill a representation of a...
  15. J

    Toboggan down hill, FIND ANGLE?

    Homework Statement A girl starting from rest, toboggans down a hill of height 15m. The mass of the girl and toboggan is 42kg. The speed of the girl and toboggan at bottom of hill is 2.9m/s. If force of friction is 112 N, what is the slope of the hill? Ignore air resistance. Homework...
  16. J

    Hydraulic Piston on te bottom of a hill

    At a ride in an amusement part a cart, with a mass of 150 kg, rolls down a long curved hill. The height of the hill is 50 m and the length of the track that the cart follows is 300 m. As the cart rolls down the hill, it experiences both a rolling frictional force and air resistance. The net...
  17. F

    Hill Sphere Formula: Understanding, Mass, Twin Planets, Eccentricity

    I'm trying to understand the Hill Sphere formula. (Yes, I've already been to Wikipedia.) I notice that it doesn't take the mass of the satellite into consideration. Is that because the mass of the satellite has no effect, or is it a simplification based on the assumption that the mass of the...
  18. T

    Complete Hill Sphere Derivation: Learn the Equation and its Derivation Process

    I've been really looking but can't seem to find a complete derivation of the Hill/Roche Sphere equation: r[h] = a(m/3M)^(1/3) http://en.wikipedia.org/wiki/Hill_sphere" and I havn't been able to find another across the entire internet (aside from one on Amazon.com's "See what's inside" book...
  19. S

    Velocity of skier slides off a frictionless hill

    a Skier of mass 60 kg pushes off the top of a frictionless hill with an initial speed of 5.0 m/s. How fast will she be moving after dropping 20m in elevation? i don't know how to compute this without the angle
  20. N

    Skiing Downhill: Calculating Woman's Height & Angle After Hitting Giant Snowball

    Homework Statement A 70-kg woman skies down a slope and then encounters the top of a huge snowball of radius 5 m while she is moving at 3 m/s. She continues over the surface of the "ball" until she ultimately parts company from the "ball" at an angle (alpha) which is measured by the radial...
  21. M

    How fast is the wagon going after moving 82.1 m up the hill?

    Homework Statement A 40.5 kg wagon is towed up a hill inclined at 16.5 degrees with respect to the horizontal. The tow rope is parallel to the incline and exerts a force of 125 N on the wagon. Assume that the wagon starts from rest at the bottom of the hill, and disregard friction and...
  22. S

    Space Station going down hill?

    I heard somewhere on here that they were going to not use or get rid of the space station anymore. Is that true? :confused:
  23. B

    Solving the Problem of a Bus Running Out of Fuel on a Hill

    Homework Statement A bus runs out of fuel as it approaches a hill. If the hill is 3.54 m high, how fast must the bus be traveling in order to coast just to the top of the hill? Homework Equations The Attempt at a Solution How do we solve this problem?? We aren't given any...
  24. W

    Calculate Tension in rope pulled up a hill

    Homework Statement Determine the tension in the rope during the acceleration of a 5 kg mass along a 30 degree slope. coeffecient of kinetic friction is 0.26 The correct answer is (68 N along the ramp), but I can't seem to get that answer.
  25. B

    Car rolling down a hill. How high will it go up another incline?

    Homework Statement A 684 kg automobile is moving at 13.2 m/s at a height of 5.0 m above the bottom of a hill when it runs out of gasoline. The car coasts down the hill and then continues coasting up the other side until it comes to rest. Ignoring frictional forces and air resistance, what is...
  26. F

    Rifleman's Rule: Best angle for a projectile up a hill [ ]

    Rifleman's Rule: Best angle for a projectile up a hill [urgent] Homework Statement A projectile is fired at speed Vo at an elevation angle alpha up a hill of slope beta (alpha>beta). At what angle will the range (L) be maximum? Homework Equations...
  27. A

    Rate of ascent or descent on a hill

    30. Suppose you are climbing a hill whose shape is given by the equation z= 100 -0.005x2 - 0.01 y2, where x,y, and z are measured in meters, and you are standing at a point with coordinates (60,40, 966). The positive x-axis points east and the positive y-axis points north. (A) If you walk...
  28. S

    Angle of Child Sliding Down Hill

    Homework Statement A child on a toboggan slides down a hill with an acceleration of magnitude 1.5 m/s^2. If friction is negligible, what is the angle between the hill and the horizontal? a = 1.5 m/s^2 g = 9.8 m/s^2 The Attempt at a Solution Ok, there is no mass given so it it's a...
  29. A

    Calculating Forces for a Sled on an Inclined Hill

    [SOLVED] Force Exerted? A child holds a sled on a frictionless snow covered hill, inclined at a 34 degree angle if the sled weighs 73N find the force exerted on the rope by the child. answer in units of N and find the force exerted on the sled by the hill, answer in units of N
  30. P

    Finding Points of Intersection of a Parabolic Arch and a Hill

    "a parabolic arch has an equation x^2 + 10y - 10 = 0. the arch is on a hill with equation y = 0.1x-1. (measurements are in metres). "find the points of intersection" for this i substituted y =0.1x - 1 into the equation x^2 + 10y - 10 = 0: x^2 + 10(0.1x - 1) - 10 = 0 x^2 + x - 10 - 10 = 0...
  31. W

    What is the work done by a hiker who is climbing up a hill

    Homework Statement A hiker of mass(m) climbs up a hill( the equation of the hill is f(x), what is the work done on the interval [a,b] Homework Equations W=\int_{a}^{b}F dx The Attempt at a Solution So for this problem I wanted to make sure. We would do: Assuming Force is constant, we...
  32. J

    How Much Power is Needed to Lift 89 Skiers Up a Slope?

    1. A T-bar tow is required to pull 89 skiers up a 600 m slope inclined at 15° above horizontal at a speed of 2.5 m/s. The coefficient of kinetic friction is 0.06. Find the motor power required if the mass of the average skier is 65 kg. 2. w=F*d P=F*v 3. I found the...
  33. A

    Calculating Speed of Bicycle on a Hill | Mass, Height, and Distance Given

    Homework Statement You ride your bicycle down a hill. Your total mass is 54 kg. At the top of the hill, your speed is 5 m/s. The hill is 1 m high and 101 m long. what is your speed at the bottom of the hill? Homework Equations The Attempt at a Solution PE= mgh (54)(9.8)(10)...
  34. P

    How much work is done on a bicyclist and her bike when coasting up a hill?

    Homework Statement Coasting along at 7.10 m/s, a 60.0 kg bicyclist on a 7.60 kg bicycle encounters a small hill. If the speed of the bicyclist is 6.00 m/s at the top of the hill, how much work was done on the bicyclist and her bike? Homework Equations KEf-KEi=W .5mvi^2-.5mvf^2...
  35. R

    Finding Speed to Push Cart up Hill

    Homework Statement I have to find the speed needed to push a cart on top of a hill and I only have the height as a number. Homework Equations A boy places his matchbox car at the top of the track he has set up with his brother. If the track starts atop the 55 cm toy box, descends to the...
  36. W

    What is the speed of a car traveling over a hill?

    Hi everyone, I'm having a bit of trouble with this homework problem. Here it is: A car is traveling at a constant speed along a hilly road, as the drawing shows. Point A is at the bottom of the dip, while point B is at the top of the hill. The radius of the curvature is 35.0 m at both points...
  37. K

    HELP question about total distance traveled for an object on a hill

    HELP! question about total distance traveled for an object on a hill if you can help me in anyway, that'd be great! here's all the information. Buffy and Willow are playing miniature golf. Buffy putts her ball win an initial velociy of 2.0 m/s up a gradual incline in the direction of...
  38. C

    A girl coats down a hill on a sled

    reaching level ground at the bottom with a speed of 7.0 m/s. the coefficient of kinetic friction between the sled's runners and the hard, icy snow is 0.050, and the girl and sleed together weight 645 N. how far does the sled travel on the ground level before coming to rest?
  39. F

    Calculating Power Output to Climb a 7.0 Degree Hill

    A bicyclist coasts down a 7.0 degree hill at a steady speed of 5.0 m/s. Assuming a total mass of 75kg (bicycle plus rider), what must be the cyclist's power output to climb the same hill at the same speed? I get 90N * 5.0 m/s = 450W The book says 9.0 * 10^2 W It looks like I'm...
  40. A

    Find the Flow Rate: Water Pipe Down a Hill

    check this, i can't figure it out. A water pipe goes doewn a hill. the level of the pipe at the bottom of the hill is 23 m below the level of the pipe at the top. the diameter of the pipe is 2.7 cm at both ends. water is flowing through the pipe. at the top of the hill, the velocity of the...
  41. M

    Projectile Fired Over a Hill: Find H, R, Angle & t_g

    A projectile is fired with speed v_0 at an angle Find the highest point in the trajectory,H . Express the highest point in terms of the magnitude of the acceleration due to gravity g, the initial velocity v_0, and the angle . What is the range of the projectile,R ? Express the range in...
  42. D

    Solving "An Person Pushes a Box Up a Hill: A Physics Problem

    Hey. I've been given this problem: "An person wishes to push a box up a hill, inclined at 30 degrees. He is able to push with a force of 450N. If the box has a mass of 20kg, and a force of friction with magnitude 20N applies, what is the acceleration of the box?" I drew a diagram, and came...
  43. F

    Solid disk rolling up a hill problem

    I'm somewhat clueless on how to solve the following problem, since a solid disk is rolling up a hill rather than downhill. I tried using KEi + PEi = KEf + PEf, including both KEt and KEr in KEf, and I calculated that KEi = 135J (45J are KEr, and 90J are KEt). I'm not sure if I'm plugging in...
  44. daniel_i_l

    Bigger Wheels Roll Down Hill Faster: The Reason?

    I noticed that if two bicycles roll down a hill, then the one with bigger wheels will get to the bottom first (I tested this with my brother). I could only think of one explanation: The bigger wheels make less revolutions and thus have less friction. Is that the reason? Are there other ones...
  45. C

    Accepted at both: UNC Chapel Hill & UNC Wilmington

    Hi everyone. I am trying to decide which is the better place to spend my next four years. Here's the situation. I have been accepted into both of the schools mentioned in the title. Obviously, Chapel Hill ranks higher on SAT scores, national polls, etc...So I would love to go to this school...
  46. A

    Can the World Save Palatine Hill from Crumbling Away?

    This is just sad..:frown: http://www.cnn.com/2006/TECH/science/02/17/palatine.ruins.reut/index.html
  47. E

    Building a 300-Foot Hill: The Science Behind Slope Stability and Skiability

    What would be the easiest way to build a 300 foot hill -- one with a slope gentle enough to ski on in the winter?
  48. C

    Max Velocity for 1360.7kg Car Climbing 15 Degree Hill

    a 1360.7 kg car has an engine which can deliver 59,680 watts to the rear wheels. what is the max. velocity at which the car can climb a 15-degree hill? i have no idea how to solve this. immediate help would be GREATLY appreciated!
  49. E

    Work done by a father pushing a sled up a hill

    A father pushes horizontally on his daughter's sled to move it up a snowy incline, as illustrated in Fg. 5.23b. If the sled goes up the hill with a constant acceleration of 0.25m/s2, how much work is done by the father in getting it from the bottom to the top of the hill? (The total mass of the...
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