Question: Prove that if the block is released from rest at point B on a smooth path of arbitrary shape, the speed it attains when it

Prove that if the block is released from rest at point B on a smooth path of arbitrary shape, the speed it attains when it reaches point A is equal to the speed it attains when it falls freely through a distance h; i.e., v = √2gh. h B A

h B A

Step by Step Solution

★★★★★

3.44 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

F ma mg sin 0 ma v dv... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Engineering Mechanics Statics Questions!

A 200-g particle is released from rest at point A along the horizontal diameter on the inside of a frictionless, hemispherical bowl of radius R = 30.0 cm (Fig. P8.52). Calculate (a) The gravitational...

A 700 g block is released from rest at height h0 above a vertical spring with spring constant k = 400 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing...

A 4.0-kg block is released from rest at the top of a frictionless plane of length 8.0 m that is inclined at an angle of 15° to the horizontal. A cord is attached to the block and trails along...

1. [-/1 Points] DETAILS UMASSA2L1 13.P.001. A uniform volume distribution of charge has radius R and total charge Q. A point charge -q is released from rest at point b, which is a distance 3R from...

Please answer the following questions. Lecture 7 Normal & Tangential Vectors; Central Force Problems Problem 2.7.1 Block on a table A 0.5 kg block moves at a speed of v on a circular path of radius...

Please show you work so that I could understand it better and then preform everything on my own. c) What IS the force exerted by the block on the inclined plane Ht that scenario? 301 A curve has a...

CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...

1. What force does the most work? (A) 10 N force (B) 8 N force (C) 6 N force (D) They all do the same amount of work 2. As you ride an elevator going upward at constant speed, the work done on you by...

I'm trying to make corrections to my assignment, and these are the questions I got wrong. The number of questions is off because the test had two parts. please help with answering these questions...

Three alternative representations for non-negative integers, n, are: Peano: values have the form S(... S(Z) ...), applying S n times to Z where S and Z are constructors or constants of some data...

How does a noncompetitive inhibitor decrease the rate of an enzyme-catalyzed reaction? O a. by binding to the active site of the enzyme, thus preventing binding of the normal substrate O b. by...

This case is based on an inventory fraud at Phar-Mor and is available online in the Connect library. By completing this case, you will learn to identify clues of inventory misreporting.

Let n1 = 100, X1 = 45, n2 = 50, and X2 = 25. a. At the 0.01 level of significance, is there evidence of a significant difference between the two population proportions? b. Construct a 99% confidence...

The Center for the Study of the American Electorate indicated that 64% of the voting-age voters cast ballots in the 2008 presidential election. It also indicated in the west, 34.6% of voting-age...

The beam is slit longitudinally along both sides. If it is subjected to a shear of V = 250 kN, compare the maximum shear stress in the beam before and after the cuts were made. 25 mm 200 mm 25 mm 100...

The beam is to be cut longitudinally along both sides as shown. If it is made from a material having an allowable shear stress of tallow = 75 MPa, determine the maximum allowable shear force V that...

10 8 pts Valuation: Discounted Income An income-producing property is being auctioned, and you plan to bid. The current NOI is $70,000, and if you hold it for 5 years, you think the NOI will grow by...

5 pages of MS WORD PLEASE Instructions Explain the basics of Financial Management (Minimum 5 pages- PDF)

Nova Corporation is interested in measuring the cost of each specific type of capital as well as the weighted average cost of capital. Historically, the fi$ has raised capital in the following...