On a day when the water is flowing relatively gently, water in the Niagara River is moving horizontally at 4.5 m/s before shooting over Niagara Falls. After moving over the edge, the water drops 53 m to the water below.
A) If we ignore air resistance, how much time does it take for the water to go from the top of the falls to the bottom?
B) How far does the water move horizontally during this time?
In: Physics
The EBIT of a firm is INR 15 crores. The firm is currently all equity financed at a cost of equity capital of 15%. The firm intends to lever up and change its capital structure by takingondebtofINR50croresinperpetuityasitprovides some value add to the firm. If the prevailing tax rate is 20%, what is the value of this firm before and after the change in capital structure? The firm is currently efficiently run and the shareholders are happy with the current earnings and do not intend to change the earnings in the future.
In: Finance
Draw the demand and supply curves for the market for organic strawberries. Suppose that organic strawberries are substitutes for non-organic strawberries, and the price of non-organic strawberries has decreased. At the same time, the number of farmers growing organic strawberries has increased. On your graph, indicate the equilibrium price and quantity in the market for organic strawberries before and after these two changes and summarize the results. (Note: you do not need to provide any numbers on your graph).
In: Economics
Pensions Your pension plan is an annuity with a guaranteed return of 4% per year (compounded quarterly). You can afford to put $1,900 per quarter into the fund, and you will work for 40 years before retiring. After you retire, you will be paid a quarterly pension based on a 25-year payout. How much will you receive each quarter? (Round your answer to the nearest cent.) $ We can use the TMV solver
In: Finance
A person of mass 74 kg stands at the center of a rotating merry-go-round platform of radius 3.5 m and moment of inertia 880 kg⋅m2 . The platform rotates without friction with angular velocity 0.90 rad/s . The person walks radially to the edge of the platform.
Calculate the angular velocity when the person reaches the edge.
Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk.
In: Physics
On a frictionless horizontal air table, puck A (with mass 0.245 kg ) is moving toward puck B (with mass 0.374 kg ), which is initially at rest. After the collision, puck A has velocity 0.118 m/s to the left, and puck B has velocity 0.655 m/s to the right.
A: What was the speed vAi of puck A before the collision?
B: Calculate ΔKΔKDeltaK, the change in the total kinetic energy of the system that occurs during the collision.
In: Physics
A cannonball is fired at a cliff of height h with an initial speed of v0 = 42.0 m/s directed at an angle of θ = 60.0° above the horizontal. The cannonball strikes point A precisely 5.50 s after it is launched. Ignore air resistance. a) Find the maximum height the cannonball reaches, H. b) Find the height of the cliff, h. c) Find the velocity of the cannonball the instant before it strikes point A. Give your answer in unit vector notation.
In: Physics
Paul has a margin account with a balance of ¢150,000. The initial margin deposit is 60 percent and Choco Industries is currently selling at ¢50 per share. a. How many shares of Choco can Paul purchase? b. What is Paul's profit/loss if Choco's price after one year is ¢40? c. If the maintenance margin is 25 percent, to what price can Choco Industries fall before Paul receives a margin call?
In: Economics
Assume you mix (1.25x10^2) mL of 0.400 M HCl with the same volume of 0.400 M NaOH in a coffee-cup calorimeter (as will be done in the lab). The temperature of the solution before the mixing was 25.10 deg. C; after mixing and allowing the reaction to occur, the temperature is 27.78 Deg. C. What is the enthalpy of neutralization of the acid. Assume the densities of all the solutions are 1.00 g/mL and their specific heat capacities are 4.18 J/(g*K)
In: Chemistry
A battery is constructed based on the oxidation of magnesium and the reduction of Cu2+. The initial concentrations of Mg2+ and Cu2+ are 1.2×10−4 M and 1.5 M , respectively, in 1.0-liter half-cells.
A)What is the initial voltage of the battery?
B)What is the voltage of the battery after delivering 5.0 A for 8.0 h ?
C) What are the concentrations of Mg2+ and Cu2+ when the cell is dead?
D) How long can the battery deliver 5.0 A before going dead?
In: Chemistry