1 answer

6. A block of mass 100 kg slides down a frictionless surface of height 30 cm...

Question:

6. A block of mass 100 kg slides down a frictionless surface of height 30 cm and collides elastically with another block of m

6. A block of mass 100 kg slides down a frictionless surface of height 30 cm and collides elastically with another block of mass 5 kg, and falls of a table. If the table has a height of 90 cm, where does each block land?

Answers

velocity of 100 kg just before impact

u^2 = 2 g h = 2 * 9.8* 0.3

u = 2.425 m/s

now velocity of 100 kg after strike

v(100) = (m1 - m2) u 1 / ( m1 + m2) = ( 100 - 5) * 2.425 / ( 100 + 5)

v(100) = 2.19 m/s

velocity of 5 kg after strike

v(5) = 2 m1 u1 / ( m1 + m2) = 2* 100* 2.425 / ( 5 + 100) = 4.619 m/s

now time taken by each to reach ground

h' = 0.5 gt^2

0.9 = 4.9 t^2

t = 0.4286 s

now,

horizontal distance travelled by 100 kg

D(100) = v(100) * t = 2.19* 0.4286 = 0.939 m

horizontal distance traveled by 5 kg

D(5) = 4.619 * 0.4286 = 1.98 m

=====

Comment before rate in case any doubt, will reply for sure.. goodluck

.

Similar Solved Questions

1 answer
3. A square matrix is said to be doubly stochastie if istries ae all nonnegative and...
3. A square matrix is said to be doubly stochastie if istries ae all nonnegative and the entries in each row and each column sum to 1. For any ergodic doubly stochastic matrix, show that all states have the same steady-state probability....
1 answer
Problem 14-4A The following data were taken from the records of Clarkson Company for the fiscal...
Problem 14-4A The following data were taken from the records of Clarkson Company for the fiscal year ended June 30, 2017. $55,300 43,200 98,300 20,800 25,900 21,100 142,050 24,660 36,900 $5,100 17,800 31,700 9,250 563,200 4,500 64,200 9,910 1,900 98,000 40,800 Raw Materials Inventory 7/1/16 Raw Mate...
1 answer
In Fall, 2017, the FDA proposed extending the compliance date for new Nutrition Facts label requirements...
In Fall, 2017, the FDA proposed extending the compliance date for new Nutrition Facts label requirements to January 2020. The proposed rule was published and open for public comment on October 2, 2017. Review the proposed rule and comment on whether you agree or disagree with the proposed compliance...
1 answer
The following payroll liability accounts are included in the ledger of Devito Company on January 1,...
The following payroll liability accounts are included in the ledger of Devito Company on January 1, 2020: FICA Taxes Payable $1,750 Federal Income Taxes Payable 4,000 State Income Taxes Payable 665 Federal Unemployment Taxes Payable 175 State Unemployment Taxes Payable 1,190 Union ...
1 answer
The initial allele (an alternate form of a gene) proportions in a genetic simulation follow a...
The initial allele (an alternate form of a gene) proportions in a genetic simulation follow a beta distribution with α=4 and β=3. What is the probability that this proportion will exceed 60%? Find mean proportion. Find the most likely proportion (mode). Find the variance.   &n...
1 answer
Practice Questions These questions are for pr questions are for practice. All possible content may not...
Practice Questions These questions are for pr questions are for practice. All possible content may not be represented in this subset of questions 1. and is mi the autonomic nervous system is part of the (afferent/efferent) pathway. The part of the ANS that controls glands, cardiac and smooth muscle ...
1 answer
Juan borrows a total of $83,000 to pay for medical school. He borrows part of the...
Juan borrows a total of $83,000 to pay for medical school. He borrows part of the money from the school whereby he will pay 4.5% simple interest. He borrows the rest of the money through a government grant that will charge him 6.5% interest. In both cases, he is not required to pay off the principal...
1 answer
How much does Constance need to have on deposit at retirement if she plans to withdraw...
How much does Constance need to have on deposit at retirement if she plans to withdraw $15,000.00 annually for 20 years assuming that the retirement fund earns 6%, compounded annually?...
1 answer
Write clear please and thank you 11.7.17 You are dealt one card from a standard 52-card...
Write clear please and thank you 11.7.17 You are dealt one card from a standard 52-card deck. Find the probability of being dealt a two. The probability of being dealt a two is (Type an integer or a simplified fraction.)...
1 answer
Which of the following aqueous solutions will have the highest freezing point? Which will have the...
Which of the following aqueous solutions will have the highest freezing point? Which will have the lowest vapor pressure? Explain 1. 0.250 m CH3CH2OH 2. 0.180 m AlPO4 3. 0.095 m (NH4)3PO4 4. 0.100 m MgCl2...
1 answer
QUESTION 21 Q14 Determine the velocity (m/s) of the wave propagation in a cable of mass...
QUESTION 21 Q14 Determine the velocity (m/s) of the wave propagation in a cable of mass per unit length kg/m when stretched by a tension PN Take: p 6.25 kg/m and P-7900 N...
1 answer
2-6 please -- - - ------ --- - - [The following information applies to the questions...
2-6 please -- - - ------ --- - - [The following information applies to the questions displayed below) Sweeten Company had no jobs in progress at the beginning of March and no beginning inventories. The company has two manufacturing departments-Molding and Fabrication. It started, completed,...
1 answer
Financial analyst is evaluating XS Company by using the FCFF valuation approach. The analyst has collected...
Financial analyst is evaluating XS Company by using the FCFF valuation approach. The analyst has collected the following information on its expected revenues and after-tax operating income (in $ millions), each year for the next 5 years: The company currently has 250 million shares trading at $10/s...
1 answer
Check my work 00 For the year ending December 31, 2021, Olivo Corporation had income from...
Check my work 00 For the year ending December 31, 2021, Olivo Corporation had income from continuing operations before taxes of $1,210,000 before considering the following transactions and events. All of the items described below are before taxes and the amounts should be considered material. 10 poi...
1 answer
Using alpha .05, what's the critical value for a study that has 4 levels in the...
Using alpha .05, what's the critical value for a study that has 4 levels in the IV and 15 subjects? Group of answer choices 3.287 3.587 3.056 3.357...
1 answer
Problem 2 (12p) The Shamrock Dogfood Company (SDC) has consistently paid out 40% of its earnings...
Problem 2 (12p) The Shamrock Dogfood Company (SDC) has consistently paid out 40% of its earnings in dividends. (a) The company's return on equity is 16%.What would you estimate as its dividend growth rate? (b) Given the low risk in dog food, your required return on SDC is 13%.What P/E ratio woul...
1 answer
Might we be able to predict life expectancies from birthrates? Below are bivariate data giving birthrate...
Might we be able to predict life expectancies from birthrates? Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both x, the number of births per one thousand people in the population, and y, the female life expectancy ...
1 answer
Refer to Exhibit 3-5.  In the market shown, if equilibrium was originally at point V and is...
Refer to Exhibit 3-5.  In the market shown, if equilibrium was originally at point V and is now at point Z, the new equilibrium price is __________ it was originally and the new equilibrium quantity is ____________ it was originally. a. less than; greater than b. less than; less ...