On a spacecraft two engines fire for a time of 515 s. One gives the craft an acceleration in the x direction of ax = 5.10 m/s2, while the other produces an acceleration in the y direction of ay = 7.30 m/s2. At the end of the firing period, the craft has velocity components of vx = 3555 m/s and vy = 4884 m/s. Find the magnitude and direction of the initial velocity. Express the direction as an angle with respect to the +x axis.

A thin, cylindrical rod script i = 21.0 cm long with a mass m = 1.20 kg has a ball of diameter d = 6.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge.

An insulated Thermos contains 190 cm3 of hot coffee at 83.0°C. You put in a 18.0 g ice cube at its melting point to cool the coffee. By how many degrees (in Celsius) has your coffee cooled once the ice has melted and equilibrium is reached? Treat the coffee as though it were pure water and neglect energy exchanges with the environment. The specific heat of water is 4186 J/kg·K. The latent heat of fusion is 333 kJ/kg. The density of water is 1.00 g/cm3.

1. A, B and C are the original members of ABC, a cash-method general partnership, with a fiscal year ending January 31. Each partner has a one-third interest in the capital, profits, and losses of ABC. Each originally contributed $10 to ABC for their partnership interests. The partnership balance sheet is as follows:Asset

What steps in this procedure makes the reaction favor SN1 mechanism and what steps make the reaction favor Sn2 mechanism

Procedure :"+ HO *TOHOH !HO – ‘SD = CD ="OCH 3$ 2. 0 30OHOCH 34 – Methoxybenzaldehyde Methyl a – D- gluco -Camphor – 10 – sulfonic DMSO` Axial position of OCH3 group*dimethyl acetalpyranosede = GloMe*acid ( racemic )on C – 1 indicates a – configurationMW 182. 2MW 194 . 2MW 232.30solvent*MW 312bp 235 ‘ Cmp 167 – 168 0’ mp 199 – 203 C bp 189 ‘ Cden. 1. 068( decomp . )1 st day in the lab : An acetal and a carbohydrate starting material will be assigned to each group .The procedure below will be modified to synthesize a carbohydrate acetal*with the given starting materials .. Equipment : Please make sure that all equipment is dry . Traces of water will destroy 4 -methoxybenzaldehyde dimethyl acetal , and the reaction will not lead to the target compound .For your set- up use a 10 ml pear shaped flask with a magnetic stirring bar and a drying tube .. Dissolve methy ! a – D- glucopyranosede ( 0. 50 mmol , 97 my ) in dimethyl sulfoxide ( DMSO ; Im[ ) .. 4 -Methoxybenzaldehyde dimethyl acetal ( a . K . a . anis aldehyde dimethyl acetal ) ( 150 ML , 0. 88mmol ) is added next with the help of an adjustable pipette .*. Finally , the reaction is started by the addition of camphor – 10 – sulfonic acid ( 0 . 13 mmol , 30my ) .. Cover the flask with a loose stopper , and stir the mixture at room temperature for I hr .". Add three drops of triethylamine from a Pasteur pipette to stop the reaction .". Add 2. 5 mL of water to the reaction mixture . The product will precipitate within 10 minutes .. Filter the reaction mixture , and wash the solid product with water .". Purify the product by recrystallization from a very small amount of isopropanol .. Develop a TLC of the recrystallized product in pure ethyl acetate .". After drying , each group should submit one sample for HI – NMR analysis .. Determine the yield ( in & and % ) of the product after recrystallization .*. Store the product for future experiments in a screw cap vial .2 nd day in the lab : Depending on the outcome of the first lab session , we may modify and repeatour synthesis , or we may work on the purification of our product .. In your lab report , please answer the following questions :"a) In our reaction , which factors create conditions favorable for an S’N’I mechanism , whichfactor ( s ) suggest that the mechanism might prefer an SN 2 mechanism ?!