A bicyclist starting from rest applies a force of F = 239 N to ride his bicycle across flat ground for a distance of d = 210 m before encountering a hill making an angle of θ = 17 degrees with respect to the horizontal. The bicycle and rider have a mass of m = 120 kg combined. In this problem, you can ignore air resistance and other losses due to friction.How much work, W in joules, did the rider do before reaching the hill? What is the bicycle's speed, v in m/s, just before the hill? If the cyclist starts coasting at the bottom of the hill, what distance, di in meters, does the bike travel up the incline? The image depicts a cyclist positioned at the start of a path defined on a coordinate system with axes labeled \(x\) and \(y\). The cyclist begins at the origin point marked as \(0\).To the right of the cyclist, the ground is flat for a distance represented by \(d\) on the \(x\)-axis. This section of the path is horizontal.After this flat stretch, the path inclines at an angle \(\theta\) relative to the horizontal axis \(x\). The distance along the incline is marked as \(d_i\). The angle \(\theta\) is measured between the horizontal segment and the inclined path.This diagram is useful for analyzing motion dynamics on an inclined plane, considering factors such as speed, acceleration, and the effect of gravitational force on the cyclist. By visualizing the slope and trajectory, physics concepts like potential and kinetic energy transformations can be explored in detail.

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Description: A bicyclist starting from rest applies a force of F = 239 N to ride his bicycle across flat ground for a distance of d = 210 m before encountering a hill making an angle of θ = 17 degrees with respect to the horizontal. The bicycle and rider have a m

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A bicyclist starting from rest applies a force of F = 239 N to ride his bicycle across flat ground for a distance of d = 210 m before encountering a hill making an angle of θ = 17 degrees with respect to the horizontal. The bicycle and rider have a mass of m = 120 kg combined. In this problem, you can ignore air resistance and other losses due to friction.

How much work, W in joules, did the rider do before reaching the hill?

What is the bicycle's speed, v in m/s, just before the hill?

If the cyclist starts coasting at the bottom of the hill, what distance, d_i in meters, does the bike travel up the incline?

The image depicts a cyclist positioned at the start of a path defined on a coordinate system with axes labeled \(x\) and \(y\). The cyclist begins at the origin point marked as \(0\).

To the right of the cyclist, the ground is flat for a distance represented by \(d\) on the \(x\)-axis. This section of the path is horizontal.

After this flat stretch, the path inclines at an angle \(\theta\) relative to the horizontal axis \(x\). The distance along the incline is marked as \(d_i\). The angle \(\theta\) is measured between the horizontal segment and the inclined path.

This diagram is useful for analyzing motion dynamics on an inclined plane, considering factors such as speed, acceleration, and the effect of gravitational force on the cyclist. By visualizing the slope and trajectory, physics concepts like potential and kinetic energy transformations can be explored in detail.

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