## Problem StatementThere is a 10 kg block on a ramp. The coefficient of kinetic friction between the block and the ramp is 0.1, and the angle of the ramp is 30 degrees from the horizontal.### Tasks:1. **Draw a picture of the situation.** Illustrate the ramp with a 30-degree angle from the horizontal plane and place a 10 kg block on it. Show the direction of gravity acting downward (vertically), and the inclined surface of the ramp.2. **Draw a free body diagram for the block.** This diagram should include: - The force of gravity acting downward (mg, where m = 10 kg and g = 9.8 m/s²). - The normal force perpendicular to the surface of the ramp. - The frictional force opposite to the direction of potential motion along the ramp. - The component forces of gravity along and perpendicular to the surface of the ramp.3. **What is the acceleration of the block?** Calculate the acceleration using the net forces acting on the block, considering both the gravitational component down the ramp and the frictional force opposing this motion. Use the following equations to solve for acceleration (a): - Net force down the ramp: \( F_{\text{net}} = mg \sin(\theta) - \mu_k mg \cos(\theta) \) - Newton’s second law: \( F_{\text{net}} = ma \) Solve for \( a \).

Given, mass of block = 10 kg coefficient of friction =0.1 angle of inclined = 30 degree

There is a 10 kg block on a ramp. The coefficient of kinetic friction between the block and the ramp is 0.1 and the angle of the ramp is 30 degrees from the horizontal. 1. Draw a picture of the situation 2. Draw a free body diagram for the block 3. What is the acceleration of the block?

There is a 10 kg block on a ramp. The coefficient of kinetic friction between the block and the ramp is 0.1 and the angle of the ramp is 30 degrees from the horizontal. 1. Draw a picture of the situation 2. Draw a free body diagram for the block 3. What is the acceleration of the block?

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

## Problem Statement

There is a 10 kg block on a ramp. The coefficient of kinetic friction between the block and the ramp is 0.1, and the angle of the ramp is 30 degrees from the horizontal.

### Tasks:

1. **Draw a picture of the situation.**

Illustrate the ramp with a 30-degree angle from the horizontal plane and place a 10 kg block on it. Show the direction of gravity acting downward (vertically), and the inclined surface of the ramp.

2. **Draw a free body diagram for the block.**

This diagram should include:
- The force of gravity acting downward (mg, where m = 10 kg and g = 9.8 m/s²).
- The normal force perpendicular to the surface of the ramp.
- The frictional force opposite to the direction of potential motion along the ramp.
- The component forces of gravity along and perpendicular to the surface of the ramp.

3. **What is the acceleration of the block?**

Calculate the acceleration using the net forces acting on the block, considering both the gravitational component down the ramp and the frictional force opposing this motion. Use the following equations to solve for acceleration (a):

- Net force down the ramp: \( F_{\text{net}} = mg \sin(\theta) - \mu_k mg \cos(\theta) \)
- Newton’s second law: \( F_{\text{net}} = ma \)

Solve for \( a \).

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