A skier begins skiing straight down a hill having a constant slope, starting from rest. If friction is negligible, as the skier goes down the hill, his/her acceleration

Question

BlackTom AI · Accepted Answer

Consider the scenario: a skier on a frictionless hill with a constant slope, starting from rest. The acceleration along the slope results from gravity with a component g sin(theta) along the incline, where theta is the incline angle. This acceleration is constant in magnitude because theta is constant and there are no non-conservative forces (friction) altering it.

Option 1: "is constant, with a value of roughly 9.8 m/s2". This would imply the acceleration equals g, which would occur only if the incline were vertical (theta = 90°). In a typical downhill incline, theta < 90°, so the component of gravity along the slope is less than g. Therefore, this statement is incorrect.

Option 2: "increases with time." Since acceleration along the slope is g sin(theta) and theta is constant, there is no time-dependent change in acceleration. The velocity changes due to constant acceleration, but the acceleration itself stays the same. Hence this option is incorrect.

Option 3: "is constant, with a value less than 9.8 m/s2". This aligns with the physics: the downhill acceleration is a constant g sin(theta), which is greater than zero for any non-vertical slope and less than g for any slope with theta < 90°. Therefore, the magnitude is constant and less than 9.8 m/s2 for a typical incline, making this statement correct.

Option 4: "is zero." A zero acceleration would imply no motion change in velocity, contradicting the starting from rest and the presence of gravity along the slope. Since gravity has a component along the incline, acceleration cannot be zero. This option is incorrect.

SPHY001 Practice Quiz - Unit 05 | LA045

A skier begins skiing straight down a hill having a constant slope, starting from rest. If friction is negligible, as the skier goes down the hill, his/her acceleration

View Explanation

Log in for full answers

Similar Questions

There are two components of the gravitational force for an object on an inclined plane. What are those components and what is the direction of each of them?

A skier begins skiing straight down a hill having a constant slope, starting from rest. If friction is negligible, as the skier goes down the hill, his/her acceleration

A block of ice sliding without friction down a 20° slope has acceleration

A 3.00 kg object rests on a 25.0° frictionless incline and is connected by a light, inextensible string over a pulley to a 2.00 kg hanging mass. What is the acceleration of the system? ==Specific Expectation: B3.5==

A 17.9 kg mass, slides down a rough inclined plane at an angle of 33.7 to the horizontal, experiencing a frictional force of 5.6 N.Determine the net force acting on the mass.

A 17.9 kg mass, slides down a rough inclined plane at an angle of 33.7 to the horizontal, experiencing a frictional force of 5.6 N.Determine the acceleration of the mass.

A 1052 kg boulder slides down a sloping hillside during a landslide. The hillside slopes at an angle of 3 degrees to the horizontal, and the frictional forces on the boulder add up to 205 newton.What is the boulder's acceleration down the slope? Give your answer to one decimal place.

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler