Question Q2 (20 pts): In a fire, a 72 kg man jumping from a window of the building lands in an elevated fire rescue net 15 m below the window. He momentarily stops when he has stretched the net down by 120 cm. Assuming that mechanical energy is conserved during this process and that the net functions like an ideal spring. Compute the rescuie net constant k.

A particle is in a circular orbit with increasing velocity v=3t is moving. The acceleration at t=1sec is a=5m/s^2. So; a)Find the Radius of the circle b)What is the angular acceleration of the particle c)How long it will take to finish the first tour. (Time) v=3t s t=0 s=0 R

1. A building for office use is designed using the prestressed hollow core slab shown. Properties of slab are as follows: A = 1.2 x 105 mm^2 St = Sb = 4.16 x 106 mm^3. The slab is prestressed with 500 KN force at an eccentricity e = 38mm below the centroid of the section. The weight of the slab is 2.35 KPa, superimposed dead load is 2.0 kPa, live load is 2.4 KPa. The slab is simply supported on bearings at L = 7.5m. Allowable stresses at service loads are 3.2 MPa in tension and 18.5 MPa in compression. Consider 20% loss of prestress at service loads. a.) Determine the resulting stress at the bottom fibers of the slab L/4 from the center of the bearings. Your answer 1b.) Determine the resulting stress at the bottom fibers of the slab at midspan. Your answer 1c.) Determine the maximum total load (KPa) that the slab can carry if the allowable stresses at service loads are not to be exceeded. Your answer

For a 28.4 mm diameter smooth pipe, calculate the threshold velocity (m/s) and corresponding flow rate (L/s) at which the flow regime in the pipe changes from transitional to turbulent. Use v = 10-6 m/s for water at 20°C and 1 = 3.1415. Give your answers to 3 decimal places. Vtrans26.2 = (m/s) Qtrans 26.2 = (L/S)

?Q. No.3 Nagano International has 420 accounts receivable in its subsidiary ledger. All accounts are due in 20 days. On December 31, an aging schedule was prepared. The results are summarized below: Customer total Not yet due 1-30 3 1-60 61-90 over 90Days Days Days Dayspast due past due past due past due (418 names) Subtotals S863,125 $458,975 $236,700 $108,350 $22,500 $36.600Two accounts receivable were accidently omitted from this schedule. The following data are available regarding these accounts: I. J.Ardis owes S10,625 from two invoices: invoice no. 218, dated September 14, in the amount of$3,375 : and invoice no. 641 dated December 5, in the amount of $6,025.Instructionsa. Complete the aging schedule as of December 31 by adding to the column subtotals an aging ofthe account of Ardis and Selstad. b. Prepare a schedule to compute the estimated portion of each age group that will proveuncollectible and the required balance in the Allowances for Doubtful Accounts. Arrange your schedule in the format illustrated on pae 292. The following percentages of each age group are estimated to be uncollectible: Not yet due, 1%; 1-30 days, 4%, 31-60 days, 10%: 61-90 days,30% over 90 days, 50% c. Prepare the journal entry to bring the Allowances for Doubtful Accounts up to its requiredbalance at December 31. Prior to making this adjustment, the account has a credit balance ofS34,500. d. Show how accounts receivable would appear in the company's balance sheet at December 31. e. On January 7 of the following year, the credit manager of Nagano International leams that the$10,625 account receivable from J.Arids is uncollectible because Arids has declared bankruptcy. Prepare the journal entry to write off his account.

The conditions for the operation of a short circuit asynchronous motor controlled by three switches (S0, S1, S2) and connected to the energy source via contactor K1 are given as follows:  The S1 button is pressed and released, then if the S2 button is pressed within 5 seconds, the motor will be activated.  If the S0 button is pressed while the motor is on or if it is overloaded (F2F), the motor will be deactivated. a) Draw the appropriate state diagram to implement this control function with a relay. b) Write the logical functions related to this diagram and draw the electrical (relay) control circuit.

17.7 Bedeivable: A Sive Problem Nagano International has 420 accounts receivable in its subsidiary ledger. All accounts are due in 30 days. On December 31, an aging schedule was prepared. The results are summarized below: Not Yet Due 1-30 Days Past Due 31-60 Days Past Due 61-90 Days Past Due Over 90 Days Past Due Total Customer (418 names) Subtotals $863,125 $458,975 $236,700 $108,350 $22.500 $36.600 Two accounts receivable were accidentally omitted from this schedule. The following data are available regarding these accounts: 1. J. Ardis owes $10,625 from two invoices: invoice no. 218, dated September 14, in the amount of $7.450; and invoice no. 568, dated November 9, in the amount of $3.175. 2. N. Selstad owes 59,400 from two invoices: invoice no. 574, dated November 19, in the amount of $3,375; and invoice no. 641, dated December 5, in the amount of 6,025. Instructions a. Complete the aging schedule as of December 31 by adding to the column subtotals an aging of the accounts of Ardis and Selstad. b. Prepare a schedule to compute the estimated portion of each age group that will prove uncol- lectible and the required balance in the Allowance for Doubtful Accounts. Arrange your sched ule in the format illustrated on page 292. The following percentages of each age group are es- timated to be uncollectible: Not yet due, 1%; 1-30 days, 4%; 31-60 days, 10%; 61-90 days, 30%, over 90 days, 50%. c. Prepare the journal entry to bring the Allowance for Doubtful Accounts up to its required bal ance at December 31. Prior to making this adjustment, the account has a credit balance of $34,500. d. Show how accounts receivabıle would appear in the company's balance sheet at Decem ber 31 e. On January 7 of the following year, the credit manager of Nagano International learns that the $10,625 account receivable from J. Ardis is uncollectible because Ardis has declared bank ruptcy. Prepare the journal entry to write off this account.