A ball rolls down a hill from rest and collides with a block on wheels at the bottom. The block has a mass which is 4 times larger than the mass of the ball. Calculate the direction and velocity of the block and ball after the collision, if they were (a) elastic, or (b) perfectly inelastic. Please show the answers in terms of g and h.

(c) how much of the kinetic energy is lost in the elastic collision of part A?

A 6.00kg ball is thrown down from a height of 4.00m with an initial speed of 6.00m / s. If the ball falls on a spring with constant k = 1500N / m, determine how much the spring compresses before the ball stops What is the work done to compress the spring?

Sales of Valentine's Day roses are expected to be down this year, but prices will still go up because the plants are producing fewer blooms.Vendors at Sirikorn flower market in Muang district said there is less interest in ordering fresh roses for Feb 14 this year.Young people seemed more interested in sending digital flowers to their loved ones.The owner of Doi Florist shop said supplies of roses were down because weather conditions had affected the harvest. The plants were bearing fewer flowers.This caused the price of a bouquet of roses to sharply increase.
A bouquet of small roses which previously sold for 200-300 baht would cost 300-400 baht this year, she said.Kapkaew Donnate, owner of Tuta Florist shop, said young people were traditionally the main customers for Valentine’s Day, but now they tended to send digital flowers and buy other gifts instead of fresh roses.She also confirmed that prices of roses had doubled because of the low supply, and blamed the unfavourable weather.
“Vendors here buy flowers from several gardens in Chiang Rai and Chiang Mai provinces. Our shop orders flowers from gardens in Thoeng district in Chiang Rai."Bouquets of roses, each with 25 blooms, are currently priced at 200 baht each. The retail price of single rose is 20 baht, but only grade B and C roses are available at the market.
"For Valentine’s Day, grade A roses are expected to be available at the market, but the price will be 40 baht a rose,’’ Ms Kapkaew said.
Use the supply and demand model, including diagrams, to explain the impact on the prices and quantities in the market of roses in Muang district of:Valentine’s Day,the weather, and young people ‘going digital

How does temperature influence Lactaid’s ability to break down

Lactose?

The demand for a commodity generally goes down as the price goes up. Assume that the demand for a certain commodity (maybe gasoline) goes up as the price goes up. Is it still possible for there to be an equilibrium price? What would the demand & supply graph look like?

Write down all body wires that will be placed on patient in a Polysomnography (PSG).

Write down the equation of a utility function and construct an indifference map that corresponds to each of the following case: -Bob always consumes beer and pizza in fixed proportions. Specifically, If Bob has 1 pizza, he consumes precisely 2 beers and additional beers represent no additional utility for Bob. Similarly, if Bob has 2 beers, he consumes precisely 1 pizza and additional pizzas represent no additional utility for Bob. In addition, when Bob has 4 pizzas and 10 beers, his utility is 32. **I understand that the formula for utility for perfect compliments is U(x,y)=min(aX,bY). How do you get the values a and b??? What do a and b represent in the equation??

In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is 1.44 m. The mug slides off the counter and strikes the floor 1.60 m from the base of the counter.

(a) With what velocity did the mug leave the counter?

(b) What was the direction of the mug's velocity just before it hit the floor?​ ° (below the horizontal)​

Write down the conservation of energy equation for heat when a mass of ice, at a temperature less than 0℃ (T1), is added to a copper (Cu) container holding some hot water, at a temperature less than 100℃ (T2) . Underneath each term indicate the process involved, e.g. ice warms (Q1), ice melts (Q2), water that was ice warms (Q3), hot water cools (Q4), copper container cools (Q5). Your equation must contain all these variables mice,mwater,mCu,cice, cwater, cCu and Lf; the initial temperatures T1 and T2; and the final equilibrium temperature T3.