Question: In a spring gun, a spring of force constant 400 N/m is compressed 0.15 m. When fired, 80.0% of the elastic potential energy stored in

In a spring gun, a spring of force constant 400 N/m is compressed 0.15 m. When fired, 80.0% of the elastic potential energy stored in the spring is eventually converted into the kinetic energy of a 0.0590-kg uniform ball that is rolling without slipping at the base of a ramp. The ball continues to roll without slipping up the ramp with 90.0% of the kinetic energy at the bottom converted into an increase in gravitational potential energy at the instant it stops.
(a) What is the speed of the ball's center of mass at the base of the ramp?
(b) At this position, what is the speed of a point at the top of the ball?
(c) At this position, what is the speed of a point at the bottom of the ball?
(d) What maximum vertical height up the ramp does the ball move?

Step by Step Solution

★★★★★

3.46 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

IDENTIFY and SET UP Apply conservation of energy to the motion of the ball The ball ends up with bot... 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)

P-M-R-M (80).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

Is the elastic potential energy stored in the pole the only type of potential energy involved in pole-vaulting? Explain.

The elastic potential energy of the spring is equal to the kinetic energy of the bob when the distance of the bob executing SHM from the equilibrium position is 0.24 m. Calculate the amplitude of the...

In a game of pool, ball A is rolling without slipping with a velocity v0 as it hits obliquely ball B, which is at rest. Denoting by r the radius of each ball and by k the coefficient of kinetic...

(Please open this question on desktop to view the photo as it sometimes doesn't show on phones, thanks!) Please solve the following and show the steps of how you solved it. Answers are included at...

(1) In an experiment of a spring oscillator as in Fig. 1, the mass is measured to be m = 0.435 kg, and the displacement as a function of time is measured to be x(t) = 0.313 sin(2.87t + 0.04) with all...

The amount of energy lost by the object in the form of thermal energy (heat), which is equal to the work done against the object by friction, is given as: WZFp-R s (4) where s is the displacement...

The force required to compress a linear spring is given by the equation F = kx where F is the force (N), and k is the spring constant (N/m). The potential energy stored in the compressed spring is...

Question 14 (1 point) A spring has an elastic constant of 8.75 x 10-N/m. What is the magnitude of the force required to stretch this spring a distance of 28.6 cm from its equilibrium position? 3.06 x...

In 1990 Walter Arfeuille of Belgium lifted a 281.5-kg object through a distance of 17.1 cm using only his teeth.(a) How much work did Arfeuille do on the object? J (b) What magnitude force did he...

We can use a toy guns spring mechanism to ask and answer two simple questions: (a) How much energy is stored in the spring of a toy gun that has a force constant of 50.0 N/m and is compressed 0.150...

During the summer of 2009, Theresa Babineaux began and incorporated a small lawn mowing service. The following information relates to the rst two months of business. Required: (a) move up text (1)...

Excerpts from the 2014 financial statements of Finley Ltd., a service company, follow: Fees earned ..............$240,000 Accounts receivable ............ 68,000 Allowance for doubtful accounts...

Lonsider the following piecewise - defined function. f ( x ) = { 4 x - 3 i f x 4 l o g 2 x 2 i f x > 4 Step 1 of 3 : Evaluate this function at x = 3 . Write the exact answer. Do not round. If the...

Why Return on Asset (ROA) is better to compare with Return on Equity (ROE) in the process of performance measurement?

Place a coordinate system in each joint of the robot given ABB IRB 1200? Robot Find the Denavit-Hartenberg (D-H) parameters and give them as a table. (You need you can add and accept)?( 2.question)

Case: The Bainder Company has budgeted its popular Binder sales for the next four months as follows: Sales in Units April 120,000 May 140,000 June 160,000 July 65,000 The company is currently in the...

1. When does a company need to implement a flexible budget? Is it the beginning of making a business, preparing a budget or when it\'s already running? Explain with an example! 2. Why in flexible...

Under generally accepted accounting principles, the assets owned by a business are reported in the balance sheet at their historical cost. Identify and briefly explain two accounting principles other...

BE12.3 (LO 1) Takemoto Ltd. borrowed 60,000,000 on November 1, 2024, by signing a 61,350,000 3-month, zero-interest-bearing note. Prepare Takemotos November 1, 2024, entry; the December 31, 2024,...

You are researching Time Manufacturing and have found the following accounting statement of cash flows for the most recent year. You also know that the company paid $81 million in current taxes and...

Given the following information, please calculate after tax cash flow for year 1. Assuming a sales price of $1,100,000, please calculate the after tax cash flow from the sale (dont forget the...

A security analyst has forecast the dividends of Hodges Enterprises for the next three years. His forecast is D1=$1.50; D2=$1.75; D3=$2.20. He has also forecast a price in three years of $48.50. The...