A person is pushing a wheelbarrow along a ramp that makes an angle ?=43.0∘ with the horizontal. The wheelbarrow and load have a combined mass of ?=24.05 kg with the center of mass at the midpoint of the length ?. What is the magnitude of the net force ?net that the person must apply in order to push the wheelbarrow up the ramp at a constant velocity, while keeping the wheelbarrow in a level, horizontal orientation? Assume that the radius of the wheel is small enough to ignore. Use ?=9.81 m/s2.
A person is pushing a wheelbarrow along a ramp that makes an angle ?=43.0∘ with the horizontal. The wheelbarrow and load have a combined mass of ?=24.05 kg with the center of mass at the midpoint of the length ?. What is the magnitude of the net force ?net that the person must apply in order to push the wheelbarrow up the ramp at a constant velocity, while keeping the wheelbarrow in a level, horizontal orientation? Assume that the radius of the wheel is small enough to ignore. Use ?=9.81 m/s2.
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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Question
A person is pushing a wheelbarrow along a ramp that makes an angle ?=43.0∘ with the horizontal. The wheelbarrow and load have a combined mass of ?=24.05 kg with the center of mass at the midpoint of the length ?. What is the magnitude of the net force ?net that the person must apply in order to push the wheelbarrow up the ramp at a constant velocity, while keeping the wheelbarrow in a level, horizontal orientation?
Assume that the radius of the wheel is small enough to ignore. Use ?=9.81 m/s2.
Transcribed Image Text:### Diagram Explanation:
The image illustrates a wheelbarrow on an inclined plane. This is a common physics problem involving mechanics and forces. Below is a detailed explanation of the elements within the diagram:
#### Components:
1. **Wheelbarrow**:
- Positioned on an inclined plane.
- Length of the wheelbarrow is marked as \( L \).
2. **Inclined Plane**:
- The surface on which the wheelbarrow rests is inclined at an angle \( \alpha \) with respect to the horizontal ground.
3. **Forces and Axes**:
- The diagram includes a coordinate system with axes labeled \( x \) and \( y \). The \( x \)-axis is parallel to the inclined plane, and the \( y \)-axis is perpendicular to it.
- An orange arrow represents the force \( F_x \), which acts along the \( x \)-axis.
4. **Angle \( \alpha \)**:
- The angle between the horizontal and the inclined plane. This affects the components of the forces acting on the wheelbarrow.
### Educational Context:
This setup is frequently used to explore concepts such as force decomposition, friction, gravitational force components, and normal force in physics education. Students can be tasked with calculating:
- The gravitational force acting along the inclined plane.
- The normal force exerted by the plane on the wheelbarrow.
- The effect of angle \( \alpha \) on the equilibrium conditions of the wheelbarrow.
This example is foundational for understanding real-world applications, such as moving objects up ramps or slopes.
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