### Problem StatementIn a winter sporting event, a contestant tries to push a 45.0-kg block of ice across a frozen lake. The force he exerts on the ice block is 51.5 N at an angle 25° below the horizontal. Assume the coefficient of static friction is \( \mu_s = 0.1 \) and the coefficient of kinetic friction is \( \mu_k = 0.03 \).1. **Will the contestant be able to move the ice block?** Show your complete work.2. **If he can move the block, determine the acceleration of the ice block once it starts to move.**### DiagramThe diagram shows a person pushing a block of ice. The angle of the applied force \( F \) is shown as 25° below the horizontal line of action.### Solution Steps1. **Determine if the block can be moved:** - Calculate the horizontal component of the force \( F \). - Calculate the maximum static friction force using \( \mu_s \).2. **Calculate acceleration if the block moves:** - Use the net force to determine the acceleration applying Newton's second law.

Given:- The mass of the block m = 45 kg The force exerted on the ice block is F = 51.5 N and the…

Answered: he coefficient of static and kinetic…

he coefficient of static and kinetic friction are u,- 0.1 ar ntestant be able to move the ice block? Show your comp nove the block, determine the acceleration of the ice

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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Newton’s Third Law of Motion

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Question

### Problem Statement

In a winter sporting event, a contestant tries to push a 45.0-kg block of ice across a frozen lake. The force he exerts on the ice block is 51.5 N at an angle 25° below the horizontal. Assume the coefficient of static friction is \( \mu_s = 0.1 \) and the coefficient of kinetic friction is \( \mu_k = 0.03 \).

1. **Will the contestant be able to move the ice block?** Show your complete work.
2. **If he can move the block, determine the acceleration of the ice block once it starts to move.**

### Diagram

The diagram shows a person pushing a block of ice. The angle of the applied force \( F \) is shown as 25° below the horizontal line of action.

### Solution Steps

1. **Determine if the block can be moved:**
- Calculate the horizontal component of the force \( F \).
- Calculate the maximum static friction force using \( \mu_s \).

2. **Calculate acceleration if the block moves:**
- Use the net force to determine the acceleration applying Newton's second law.

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Q#1: Consider the block weigh 20 lb, that the tension T can be increased to 8lb before the block starts to slide, and that a fone of 4lb will keep the block moving at constant speed the once it has been set in motion. Find co efficient of static and kinetic friction. angle of 30 above a 20lb Q#2: What force T, at an the horizontal, is required to drag block to the right at constant speed, if the co efficient of kinetic friction between the block and the surface is 0:20 ? Q#3: What is the frictiom force if the block is at rest on the surface amd force of 5N is exerted on it ? The block is attached to a having tension 1. the hori2στta! string