Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 8: Q11P (page 203)

(a) In Problem 5, what is the speed of the flake when it reaches the bottom of the bowl? (b) If we substituted a second flake with twice the mass, what would its speed be? (c) If, instead, we gave the flake an initial downward speed along the bowl, would the answer to (a) increase, decrease, or remain the same?

Short Answer

Expert verified

a)v=2.08ms

b)v=2.08ms

c) Speed of the bowl at the bottom will increase.

Step by step solution

01

 Step 1: Given

Mass of ice flake,

m=2.0×10−3 kg

Radius,

(r)=0.22m

02

To understand the concept

The problem deals with the law of conservation of energy. The law of conservation of energy states that, total energy of an isolated system remains constant.

Formula:

Initialtotalenergy=Finaltotalenergy

03

(a) Calculate the speed of the flake when it reaches the bottom of the bowl

According to the law of conservation of energy:

KEi+PEi=KEf+PEf

12mv2+0=0+mgr

Hence,

v=(2gr)

v=2×0.22×9.8

v=2.08m/s

04

(b) Calculate the speed if we substituted a second flake with twice the mass

If the mass of flake is doubled, then there would be no change in speed, because the speed of flake doesn’t depend on the mass.

Hence,

v=2.08 m/s

05

(c) Figure out if the answer to (a) would increase, decrease, or remain the same if the flake is given an initial downward speed along the bowl

According to law of conservation of energy:

KEf=KEi+PEi−PEf

This indicates that if initial speed is greater, the final speed must increase.

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

In Fig. 8-23a, you pull upward on a rope that is attached to a cylinder on a vertical rod. Because the cylinder fits tightly on the rod, the cylinder slides along the rod with considerable friction. Your force does work W=+100Jon the cylinder–rod–Earth system (Fig. 8-23b).An “energy statement” for the system is shown in Fig. 8-23c: the kinetic energy K increases by 50J, and the gravitational potential energy Ugincreases by 20 J. The only other change in energy within the system is for the thermal energyEth.What is the change ΔEth?

A spring with spring constant k = 620 N/mis placed in a vertical orientation with its lower end supported by a horizontal surface. The upper end is depressed 25 cm, and a block with a weight of 50 Nis placed (unattached) on the depressed spring. The system is then released from rest. Assume that the gravitational potential energy Ugof the block is zero at the release point role="math" localid="1661235142508" (y=0)and calculate the kinetic energyof the block forequal to (a) 0, (b) 0.050 m, (c) 0.10 m, (d) 0.15 m, and (e) 0.20 m. Also, (f) how far above its point of release does the block rise?

A 9.40 kgprojectile is fired vertically upward. Air drag decreases the mechanical energy of the projectile-Earth system by 68.0 kJduring the projectile’s ascent. How much higher would the projectile have gone were air drag negligible?

In Fig. 8-55, a block slides along a path that is without friction until the block reaches the section of length L = 0.75 m, which begins at height h = 2.0 m on a ramp of angle θ=30° . In that section, the coefficient of kinetic friction is0.40. The block passes through point A with a speed of 8.0m/s. If the block can reach point B (where the friction ends), what is its speed there, and if it cannot, what is its greatest height above A?

Figure 8-26 shows three situations involving a plane that is not frictionless and a block sliding along the plane. The block begins with the same speed in all three situations and slides until the kinetic frictional force has stopped it. Rank the situations according to the increase in thermal energy due to the sliding, greatest first.
See all solutions

Recommended explanations on Physics Textbooks

Dynamics

Read Explanation

Electricity

Read Explanation

Fluids

Read Explanation

Famous Physicists

Read Explanation

Astrophysics

Read Explanation

Space Physics

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