Consider a skier heading down a 11° slope. Assume the coefficient of friction for waxed wood on wet snow is μk = 0.10 and use a coordinate system in which down the slope is positive. a. Calcuate the magnitude of the acceleration of the skier in m/s2 b. Find the angle, in degrees, of the slope on which this skier could move down the slope at constant velocity

Consider a skier heading down a 11° slope. Assume the coefficient of friction for waxed wood on wet snow is μk = 0.10 and use a coordinate system in which down the slope is positive. a. Calcuate the magnitude of the acceleration of the skier in m/s2 b. Find the angle, in degrees, of the slope on which this skier could move down the slope at constant velocity

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 7CQ: A projectile is launched at some angle to the horizontal with some initial speed vi, and air...

See similar textbooks

Similar questions

A projectile is launched at some angle to the horizontal with some initial speed vi, and air resistance is negligible. (a) Is the projectile a freely falling body? (b) What is its acceleration in the vertical direction? (c) What is its acceleration in the horizontal direction?
Consider an airplane whose takeoff speed is 220 km/h and that takes 15 s to take off at sea level. For an airport at an elevation of 1600 m (such as Denver), determine (a) the takeoff speed, (b) the takeoff time, and (c) the additional runway length required for this airplane. Assume constant acceleration for both cases.
A ball is thrown from point (0,0,0) with initial velocity v=vx0i + vy0j. The forces acting on theball are given as gravitational force F = −mg and air friction force Fs = −bv. Where b is thecoefficient of friction constant.a) Find the position and velocity of the ball as a function of time.b) What is the approximate distance from the origin when the ball lands?c) If the friction coefficient b is too small, what approximate the results you find in options a and b?Show it mathematically.
A glider is initially moving at a constant height of 3.76 m. It is suddenly subject to a wind such that its velocity at a later time t can be described by the equation v(t) = 16.18 − 7.78(1 + t) + 0.70t3, where v and its components are in meters per second, t is in seconds, and the z axis is perpendicular to the level ground. (a) What was the initial velocity of the glider? (Express your answer in vector form.) vi = m/s(b) Write an expression for the acceleration of the glider in component form when t = 2.14 s. (Express your answer in vector form.) a(t = 2.14 s) = m/s2
a. Calculate the acceleration (in m/s2) of a skier heading down a 11.1° slope, assuming the coefficient of friction for waxed wood on wet snow. b. Find the angle (in degrees) of the slope down which this skier could coast at a constant velocity. (You can neglect air resistance, and you will find the equation for the acceleration of any object down an incline where fk = μkN, a = g(sin(θ) − μk cos(θ)), to be useful.)
What is the acceleration of object #2 while it is ascending toward the surface (but before it reaches the surface)? Give your answer in terms of the ratio a/g.
In a local diner, a customer slides an empty coffee cup down the counter for a refill. The cup slides off the counter and strikes the floor at distance d from the base of the counter. If the height of the counter is h, (a) find an expression for the time t it takes the cup to fall to the floor in terms of the variables h and g. (b) With what speed does the mug leave the counter? Answer in terms of the variables , g, and h. (c) In the same terms, what is the speed of the cup immediately before it hits the floor? (d) In terms of h and d, what is the direction of the cup’s velocity immediately before it hits the floor?
An astronaut on Mars kicks a soccer ball at an angle 45 ̊of with an initial velocity of 15 m/s. If the acceleration of gravity on Mars is 3.7 m/s2, (a) what is the range of the soccer kick on a flat surface? (b) What would be the range of the same kick on the Moon, where gravity is one sixth that of Earth? (Draw a free-body diagram)
An airplane has airspeed 800 km/h. It embarks on a flight from City A to City B, which is 1000 km north of City A. A steady wind of 100 km/h blows from west to east. (a) Draw the relevant relative velocity vectors, and calculate the direction in which the airplane should fly. (b) What will be the groundspeed of the airplane? (c) How long will the trip take? Assume constant velocity.
A ball is kicked with an initial velocity of 11 m/s in the horizontal direction and 14 m/s in the vertical direction. (a) At what speed (in m/s) does the ball hit the ground?
A block slides with constant velocity down an inclined plane that has a slope angle theta. The block is then projected up the same plane with an initial speed of v0. (a) How far up the plane will it move before coming to rest? (b) After the block comes to rest, will it slide down the plane again? Give an argument to back your answer.
In a local diner, a customer slides an empty coffee cup down the counter for a refill. The cup slides off the counter and strikes the floor at distance d from the base of the counter. (a) If the height of the counter is h, find an expression for the time t it takes the cup to fall to the floor in terms of the variables h and g. t = (b) With what speed does the mug leave the counter? Answer in terms of the variables d, g, and h. v1 = (c) In the same terms, what is the speed of the cup immediately before it hits the floor? v2 = (d) In terms of h and d, what is the direction of the cup's velocity immediately before it hits the floor? ? = radians