A smooth hemisphere, of radius 2a, is placed with its plane face on a horizontal surface. A

Question:

A smooth hemisphere, of radius 2a, is placed with its plane face on a horizontal surface. A particle, of mass 3m, is placed on the highest point of the hemisphere. The particle is then projected horizontally with speed √1/4ga.

a. Find the height of the particle above the horizontal surface when it leaves the surface of the hemisphere.

b. Find the speed of the particle when it strikes the horizontal surface.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

See More Books

Question Posted: Oct 07, 2021 01:33 AM

See More Questions

A smooth hemisphere of radius 1.6a is placed plane face down and fixed onto a horizontal plane. A particle r of mass 2m is placed on the top of the hemisphere and projected with speed 1/4ga. As the...
A sphere of radius 2a is made of a non-conducting material that has a uniform volume charge density 1. (Assume that the material does not affect the electric field.) A spherical cavity of radius a is...
A 15-cm-long pencil is placed with its eraser on the optic axis of a concave mirror and its point directed upward at a distance of 20 cm in front of the mirror. The radius of curvature of the mirror...
The number of males per 100 females, age 70 or over, in the United States for some recent years is shown in the following table. (a) Plot the data, letting t be the years since 1970. (b) Would a...
At first sight the activities of the two organizations appear very complementary. To what extent should the merged organization now be integrated? For example, should it reassign responsibility for...
Explain the three principal ways in which the terms of private placement bonds commonly differ from those of public issues.
Advertising proposals. The manager of an advertising department has asked her creative team to propose six new ideas for an advertising campaign for a major client. She will choose three of the six...
This problem continues with the business of Pure Water, Inc., begun in the continuing problem in Chapter 1. Here you will account for Pure Water, Inc.s transactions using formal accounting practices....
The following direct materials and direct labor data pertain to the operations of Laurel Company for the month of August. \ table [ [ Costs ] , [ Actual labor rate,$ 1 6 , per hour ] , [ Actual...
This question considers pruning in games with chance nodes. Figure 5.19 shows the complete game tree for a trivial game. Assume that the leaf nodes are to be evaluated in left-to-right order, and...
Two smooth spheres of equal size are resting on a smooth, horizontal surface. Particle P, of mass m, is projected towards particle Q, of mass 2m, with velocity 3u. Particle Q is initially at rest....
The diagram shows a smooth sphere, travelling horizontally, that is colliding with two smooth vertical walls at a corner point. The sphere has an initial velocity u, and given that the coefficient of...
Two examples of the marketization of society today that Sandel discusses are cash for grades and pay for getting around long lines. What, if anything, is wrong with these practices? Beyond what...
As an official sponsor of the Olympics, what specific benefit did John Hancock use to help drive sales in their national offices?
assumes that Nia has both a discount rate of zero and faces an interest rate of zero. These assumptions made calculating her constant level of consumption expenditure of $56,000 fairly...
Paul Petersen lives in Northern California. He owns a BMW car worth about $20,000. He wants to take a trip to Nevada with his girlfriend Patricia, who lives in Los Angeles. He takes his car into...
Do you see gendered patterns of interaction in personal relationships? Does knowing about gender linked patterns affect how other interpret on what happens in a relationships?
Significance For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1, find the percentage of scores that are significantly high (or at least 2 standard...
A summary of the time tickets is as follows: Journalize the entry to record the factory labor costs. Job No. Indirect Job No. Amount Amount $ 4,800 5,875 18,250 15,500 $ 8,220 9,430 12,675 19,225 100...
During 2012, Cheng Book Store paid $483,000 for land and built a store in Georgetown. Prior to construction, the city of Georgetown charged Cheng $1,300 for a building permit, which Cheng paid. Cheng...
For each of the following compounds, determine the position that is most likely to be the site of an electrophilic aromatic substitution reaction: (a) (b) (c) (d) (e) . NO2 O,N OMe Br
For the reaction C(graphite) + H 2 O(g) CO(g) + H 2 (g), H o R =131.28 kJ mol -1 at 298.15 K. Use the values of C P,m at 298.15 K in the data tables to calculate H R at 125.0C.
The following compound is highly activated, but nevertheless undergoes bromination very slowly. Explain.
Production costs that are not attached to units that are sold are reported as: Cost of goods sold Selling expenses Administrative costs Inventory
Please show workings :) Oxford Company has limited funds available for investment and must ration the funds among four competing projects. Selected information on the four projects follows: Life of...
ASDA Company reported the following activity in the Assembly Department for the month of May : Units Percent Completed Materials Conversion Work in process, May 1 360 50 % 10 % Units started into...

A smooth hemisphere, of radius 2a, is placed with its plane face on a horizontal surface. A

Question:

Step by Step Answer:

a To find the height of the particle above the horizontal surface when it leaves the surface of the ...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

Students also viewed these Sciences questions