1 answer

The table summarizes the known values for a completely elastic collision. Given the information, what is...

Question:

The table summarizes the known values for a completely elastic collision. Given the information, what is the mass of ball 27
The table summarizes the known values for a completely elastic collision. Given the information, what is the mass of ball 27 Ball 1 Ball 2 4.3 ? mass (kg) initial velocity (m/s) final velocity (m/s) 2.0 -5.0 0.11 -6.91 7.49 kg

Answers

Given,

mass of Ball 1, m1 = 4.3 kg

initial velocity of Ball 1, u1 = 2.0 m/s

final velocity of Ball 1, v1 = –6.91m/s

mass of Ball 2, m2 = ?

initial velocity of Ball 2, u2 = –5.0 m/s

final velocity of Ball 2, v2 = 0.11m/s

In elastic collision, law of conservation of momentum and law of conservation of energy hold.

In elastic collision, final velocities after collision, are v1 = [ (m1 – m2) / (m1 + m2) ]u1 + [ 2m2 / (m1 + m2)] u2

and v2 = [ 2m1 / (m1 + m2)] u1 + [ (m2 – m1) / (m1 + m2) ]u2

Let us substitute the given values in the first formula for v1.

–6.91 = [(4.3 – m2) / (4.3 + m2) ]x2 + [ 2m2 / (4.3 + m2)]x (–5)

–6.91 = [((4.3 – m2)x2 – 10m2 ] / (4.3 + m2)

–6.91x  (4.3 + m2) = 8.6 – 2m2 – 10m2

  –29.71 – 6.91m2 = 8.6 – 12m2

    – 6.91m2 +12m2 = 8.6 + 29.71

5.09m2 = 38.31

m2 = 7.52 kg

So, the mass of Ball 2 is 7.52 kg

.

Similar Solved Questions

1 answer
Charet Ramrez Due in 2 hous 58 minutes Due Mon 03052018 11 59 650 tickets were...
Charet Ramrez Due in 2 hous 58 minutes Due Mon 03052018 11 59 650 tickets were sold for a game for a total of $1,02500 If adult tickets sold for $2.00 and chuildren's tickets sold for $1 00, how many of each kind of tickets were sold? They soldし adult tekets and children's tik Get Hel...
1 answer
Let p and q be the following statements. p: Ravi is going to work on Monday....
Let p and q be the following statements. p: Ravi is going to work on Monday. q: We are going to the museum. Consider this argument Premise 1: If Ravi is going to work on Monday, then we are going to the museum. Premise 2: Ravi is not going to work on Monday. Conclusion: Therefore, we are not going t...
1 answer
Assume that the sample is a simple random sample obtained from a normally distributed population of...
Assume that the sample is a simple random sample obtained from a normally distributed population of flight delays at an airport. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviation is within 30% of the population standard deviation. A his...
1 answer
Why does light at sunset appear red?
Why does light at sunset appear red?...
1 answer
10:44 A. FSTM3074 PC2 0.pdf < [TOTAL: 8 MARKS] Question 2 a) Given that p =...
10:44 A. FSTM3074 PC2 0.pdf < [TOTAL: 8 MARKS] Question 2 a) Given that p = log 5, q = log2, express the following terms of p and/or q. 1) log, 10 0 (2 marks) il) log8 (2 marks) ill) loga 2.5 III (2 marks) Cini futbou...
1 answer
Marcelino Co.'s March 31 inventory of raw materials is $90,000. Raw materials purchases in April are...
Marcelino Co.'s March 31 inventory of raw materials is $90,000. Raw materials purchases in April are $510,000, and factory payroll cost in April is $381,000. Overhead costs incurred in April are: indirect materials, $53,000; indirect labor, $25,000; factory rent, $36,000; factory utilities, $24,...
1 answer
QUESTION 9 The t test for the regression coefficient in the above question is 4.5, and...
QUESTION 9 The t test for the regression coefficient in the above question is 4.5, and the associated p value is 0.002. What can we conclude? 1. The slope of the regression line is equal to zero 2. The slope of the regression line is not equal to zero 03. The slope of the regression line is equal to...
1 answer
Problem 7.9: The Qoutput of an edge-triggered D flip-flop is shown below in relation to the...
Problem 7.9: The Qoutput of an edge-triggered D flip-flop is shown below in relation to the clock signal. Determine the input waveform on the D input that is required to produce this output if the flip-flop is a positive edge-triggered type. CLUபுபுப்பப...
1 answer
6. Stockholder and manager conflicts Executive compensation packages often tie performance to bonus and incentive awards,...
6. Stockholder and manager conflicts Executive compensation packages often tie performance to bonus and incentive awards, supplemental retirement packages, perquisibes, and severance pay, in order to encourage the management team to align their performance with organizational goals. In an attempt to...
1 answer
During trs year of operations, $55,000. The companys the ing Garden Plan, Inc. had method to...
During trs year of operations, $55,000. The companys the ing Garden Plan, Inc. had method to forc of 5497.000 Mon e s Industry experience in the mount of credits Al December 31, 2018 accounts recei ta 2. Make pig's only for collect Show how ring should report cours count expensing the percent of...
1 answer
1. Will the Plan be held liable for the negligence of Dr. Green and for the...
1. Will the Plan be held liable for the negligence of Dr. Green and for the Plan's negligence?...
1 answer
21. 13.5 g of NaCl is dissolved in 100.0 g of H20. The boiling point of...
21. 13.5 g of NaCl is dissolved in 100.0 g of H20. The boiling point of the water after the salt is added is The boiling point elevation constant for water: Ko = 0.512 °C/m. A) 102.4°C B) 101.2°C C) 104.5°C D) 108.4°C 22. A process has an equilibrium constant K of 2.5 x 10 at 300...
1 answer
6. Which is not a characteristic property of acids? A) reacts with CO2(g) to form carbonates...
6. Which is not a characteristic property of acids? A) reacts with CO2(g) to form carbonates B) reacts with active metals to produce H2(g) C) neutralizes bases D) turns litmus from blue to red E) All of the above are characteristic properties of acids...
1 answer
What are the main exports of Canada? Explain three different ways in which Canada can diversify...
What are the main exports of Canada? Explain three different ways in which Canada can diversify its exports....
1 answer
Question 4 [7 points total]. An allergy to peanuts is increasingly comment in Western countries. A...
Question 4 [7 points total]. An allergy to peanuts is increasingly comment in Western countries. A randomized controlled trial enrolled infants with a diagnosed peanut sensitivity. Infants were randomized to either avoid peanuts or consume them regularly until they reached age 5. At the end of the s...