In: Math
Two satellites, A and B, both of mass m = 115 kg, move in the same circular orbit of radius r = 7.57 106 m around Earth but in opposite senses of rotation and therefore on a collision course.
a) What is the total mechanical energy EA + EB of the two satellites + Earth system before the collision?
b)If the collision is completely inelastic so that the wreckage remains as one piece of tangled material (mass = 2m), what is the total mechanical energy immediately after the collision?
answer has to be in J
In: Physics
You are provided with 5.05g of SO2 to react with 2.45 gg of O2. Indicate your theoretical yield by completing the following statements.
Match the chemical formulas and amounts in the left column to the appropriate blanks in the sentences on the right. Make certain each sentence is complete before submitting your answer.
The limiting reagent in the reaction is?
Regarding the theoretical yield based on the limiting reagent,(---------)mol of SO3 can be formed, which corresponds to a mass of ( --------)
The excess reagent was ( -------) and after the limiting reagent is consumed during the reaction, the mass of excess reagent remaining will be ( ----------)?
In: Chemistry
If 1.5 moles of hexane ( ) combust to completion: 6 14 C H
2.1 How many moles of CO2 would we have at the end of the reaction? [1]
2.2 How many moles of H2O would we have? [1]
2.3 How many moles of O2 would be consumed? [1]
2.4 What mass of oxygen would this correspond to? [2]
2.5 If after complete combustion, it is found that the combustion product contains 10% (mole) of oxygen. What was the mass fraction of oxygen in the mixture before combustion? [3]
In: Chemistry
You have been asked by the president of your company to evaluate the proposed acquisition of a new special purpose truck for $50000. The truck falls into the MACRS 3 year class,and it will be sold after three years for $19400. Use of the truck will require an increase in NWC (spare parts inventory) of $1400. The truck will have no effect on revenues but it is expected to save the firm $17100 per year in before tax operating costs,mainly labor. The firms marginal tax rate is 34 percent. What will the cash flows for this project be?
In: Finance
A widget-rationing program requires that anyone who buys widgets first pay a lump sum for a license; i.e. the consumer cannot buy widgets without a license. The license allows the consumer to buy any number of widgets at the controlled price. The proceeds from the sale of the licenses are used to reduce income taxes for widget buyers and non-buyers alike.
With widgets on the x-axis and income on the y-axis, draw the budget constraint before and after the imposition of the license for a consumer who does not buy a license.
In: Economics
Two carts with masses 250. g and 200. g are free to
slide without friction on a horizontal airtrack. The 250.g
cart is pushed against a spring, compressing it by 3.00 cm, then
released. It slides towards the initially stationary 200 g
mass and collides with it. After the collision the 200. g
mass has a forward velocity of 0.450 m/s and the 250. g mass has a
forward velocity of 0.250 m/s.
a) What was the velocity of the 250. g cart just before the
collision?
b) What was the spring constant?
In: Physics
A 60 kg soccer player jumps vertically upwards and heads the
0.45 kg ball as it is descending vertically with a speed of 27 m/s.
If the player was moving upward with a speed of 4.0 m/s just before
impact, what will be the speed of the ball immediately after the
collision if the ball rebounds vertically upwards and the collision
is elastic?
______m/s
If the ball is in contact with the player's head for 20 ms, what is
the average acceleration of the ball? (Note that the force of
gravity may be ignored during the brief collision time.)
________ m/s2
In: Physics
In the inside of a TV set an electron is accerlerated by a potential difference of 20 kV in an evacuated tube. It is then passed through an uniform magnetic field of 100 mT which deflects it to the desired position on the screen.
1) Draw a diagram showing the path of the electron as it passes from the electron source to the screen.
2) After passing through the accelerating potential, what is the kinetic energy of the electron in eV? In joules?
3) What is the speed of the electron just before it enters the magnetic deflecting field?
4) What will be the radius of curvature of its path in the field?
In: Physics
In: Economics