Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Q.28 (page 155)

A rubber-wheeled 50kg cart rolls down a 15° concrete incline. What is the cart’s acceleration if rolling friction is

(a) neglected and

(b) included?

Short Answer

Expert verified

a. When the rolling friction in neglected a=2.54m/s2

b. When the rolling friction is includeda=2.35m/s2

Step by step solution

01

Content Introduction

Acceleration, charge at which speed modifications with time, in phrases of each velocity and course. A factor or an item transferring in a immediately line is extended if it hastens or slows down. Motion on a circle is extended even though the velocity is constant, due to the fact the course is usually changing.

02

Explanation (Part a)

The force identification diagram shows:

m=50kgis the mass, sinθ=15°

localid="1648483374914" FGsin(θ)=Fneta=gsin15∘a=(9.8m/s2×0.259)a=2.54m/s2

03

Explanation (Part b)

The rolling friction try to oppose the motion of the rubber wheel as it acts opposite to direction of motion. The force identification diagram depicts

FGsinθ-fr=Fnetfr=μrn=μrmgcosθmgsinθ-μrmgcos15°=maa=(9.8m/s2×0.259)-(0.02×9.8m/s2×0.96)=2.35m/s2

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A 2.0×107 kg train applies its brakes with the intent of slowing down at a 1.2m/s2 rate. What magnitude force must its brakes provide?

A 20,000 kg rocket has a rocket motor that generates 3.0×105N of thrust. Assume no air resistance.

a. What is the rocket’s initial upward acceleration?

b. At an altitude of 5000 m the rocket’s acceleration has increased to 6.0m/s2 . What mass of fuel has it burned?

A 4000kg truck is parked on a 15°slope. How big is the friction force on the truck? The coefficient of static friction between the tires and the road is 0.90.

An astronaut orbiting the earth is handed two balls that have identical outward appearances. However, one is hollow while the other is filled with lead. How can the astronaut determine which is which? Cutting or altering the balls is not allowed?

Large objects have inertia and tend to keep moving-Newton's BI0 first law. Life is very different for small microorganisms that swim through water. For them, drag forces are so large that they instantly stop, without coasting, if they cease their swimming motion. To swim at constant speed, they must exert a constant propulsion force by rotating corkscrew-like flagella or beating hair-like cilia. The quadratic model of drag of Equation 6.15fails for very small particles. Instead, a small object moving in liquid experiences a linear drag force, F→drag=(bv, the direction opposite the motion), where bis a constant. For a sphere of radius R, the drag constant can be shown to be b=6πηR, where ηis the viscosity of the liquid. Water at 20∘Chas viscosity 1.0×10−3Ns/m2.

a. A paramecium is about 100μmlong. If it's modeled as a sphere, how much propulsion force must it exert to swim at a typical speed of 1.0mm/s? How about the propulsion force of a 2.0-μm-diameter E. coli bacterium swimming at 30μm/s?

b. The propulsion forces are very small, but so are the organisms. To judge whether the propulsion force is large or small relative to the organism, compute the acceleration that the propulsion force could give each organism if there were no drag. The density of both organisms is the same as that of water, 1000kg/m3.
See all solutions

Recommended explanations on Physics Textbooks

Electromagnetism

Read Explanation

Linear Momentum

Read Explanation

Waves Physics

Read Explanation

Nuclear Physics

Read Explanation

Physical Quantities And Units

Read Explanation

Dynamics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free