Question: A 4.00 kg block is suspended from a spring with k = 500 N/m. A 50.0 g bullet is fired into the block from directly

A 4.00 kg block is suspended from a spring with k = 500 N/m. A 50.0 g bullet is fired into the block from directly below with a speed of 150 m/s and becomes embedded in the block.
(a) Find the amplitude of the resulting SHM.
(b) What percentage of the original kinetic energy of the bullet is transferred to mechanical energy of the oscillator?

Step by Step Solution

★★★★★

3.38 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Assume the bullet becomes embedded and moves with the block before the block moves a significant distance Then the momentum of the bulletblock syste... 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

Document Format (1 attachment)

2-P-O-O-W (171).docx

120 KBs Word File

Students Have Also Explored These Related Oscillations Mechanical Waves Questions!

A solid block is suspended from a spring scale. When the block is in air, the scale reads 35.0 N, when immersed in water the scale reads 31.1 N, and when immersed in oil the scale reads 31.8 N. (a)...

A 0.10-m 0.20-m 0.30-m block is suspended from a wire and is completely under water. What buoyant force acts on the block?

A 4 . 8 kg block is suspended from a spring with k = 4 6 5 N / m . A 3 5 g bullet is fired into the block from directly below with a speed of 2 8 0 m / s and becomes embedded in the block. ( a ) Find...

A 3 . 1 kg block is suspended from a spring with \ ( k = 3 8 1 \ mathrm { ~N } / \ mathrm { m } \ ) . A 4 8 g bullet is fired into the block from directly below with a speed of 2 6 0 \ ( \ mathrm { m...

A 4 . 0 kg block is suspended from a spring with k = 4 0 7 N m . A 5 4 g bullet is fired into the block from directly below with a speed of 1 0 0 m s and becomes embedded in the block. ( a ) Find the...

A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position of x = +0.150 m. The mass of the block is m = 0.707...

8b.6 A block with mass of 2.00 kg slides across a horizontal frictionless counter. It then runs into and compress a spring of spring constant k = 100 N/m. After a compression distance of 30 cm. its...

Following are the consolidated balance sheet accounts of Primer Incorporated and its subsidiary, Sore Corporation, as of December 31, 20X6 and 20X5. Assets Cash Marketable Equity Securities, at cost...

Class Management | Help Weeko Begin Date: 7/7/2023 12:01:00 AM -- Due Date: 7/18/2023 11:59:00 PM End Date: 8/10/2023 11:59:00 PM (6%) Problem 18: A block with mass m is released from rest at point A...

3.1-Analyse the appropriateness of alternative strategies relating to market entry, substantive growth, limited growth or retrenchment for an organisation. Plan at least two alternative strategies,...

5. For the following chemical reaction, CO (g) + H2O (g) left right arrow CO2 (g) + H2 (g) Kc = 0.0257 If a 2.00L vessel is charged with 0.200 moles of CO, 1.13 moles of H2O, 0.199 moles of CO2, and...

Caroful Corp. ahways has its internal auditors roview transactions botwoon Careful Corp and its subsidiary, Risky Corp, to ensure that the transactions are carred out in a fair and transparent...

Critical Thinking Questions: 1. What patterns do you see in the penalties? 2. How do these penalties relate to deterrence theory?

L 3 = 2.2m , W 1 = 7kN If not specified in the questions, use; E = 210.0 GPa, v = 0.3. 1 Figure 1 shows a beam ABCD such that AB = 2.5 m, BC = 3 m and CD = L; m. CLO3 It is simply supported at B and...

3. Under the balancing element, identify the three government interests that make the taking of inventories by law enforcement officers reasonable.

The following table gives the number of units of production produced by four employees each using a different type of machine: Employee Type of machine M1 M2 M3 M4 E1 40 36 45 30 E2 38 42 50 41 E3 36...

The blood alcohol (C 2 H 5 OH) level can be determined by titrating a sample of blood plasma with an acidic potassium dichromate solution, resulting in the production of Cr 3+ (aq) and carbon...

Initially the system of objects shown in Figure P5.61 is held motionless. All surfaces, pulley, and wheels are frictionless. Let the force F is zero and assume that m2 can move only vertically. At...

As an astronaut, you observe a small planet to be spherical. After landing on the planet, you set off, walking always straight ahead, and find yourself returning to your spacecraft from the opposite...

One block of mass 5.00 kg sits on top of a second rectangular block of mass 15.0 kg, which in turn is on a horizontal table. The coefficients of friction between the two blocks are s = 0.300 and k =...

Can you provide the following information relative to the Boeing Company: 1. Has the company's current ratio been declining or increasing over the past five years? Why or why not? 2. Compared to the...

You are evaluating a project for The Farstroke golf club, guaranteed to correct that nasty slice. You estimate the sales price of The Farstroke to be $420 per unit and sales volume to be 1,200 units...

Q2 30 Marta 2(a) TableQ2(a) shows and empty financial forecast template. Create a 20 complete 4 year (YO,Y1, 42,Y3) financial forecast for your entrepreneurship venture with a product/service that...