A 0.0210 kg bullet moving horizontally at 500 m/s embeds itself into an initially stationary 0.500 kg block.

(a) What is their velocity just after the collision?
_____ m/s
(b) The bullet-embedded block slides 8.0 m on a horizontal surface with a 0.30 kinetic coefficient of friction. Now what is its velocity?
_____ m/s
(c) The bullet-embedded block now strikes and sticks to a stationary 2.00 kg block. How far does this combination travel before stopping?
____ m

A UPS worker places a 5.00 kg package at the top of a smooth ramp 2.60 m above the horizontal and gives the package an initial velocity of 4.25 m/s as it slides down the ramp. After it reaches to the bottom of the packaging ramp, the box slides across a smooth floor until it compresses a spring with a stiffness of 3830 N/m.

a) How much will the spring be compressed before the block comes to a stop?

b) If the spring can do work at a rate of 385 W, how long will it take for the spring to be compressed by the package?

Student debt has significantly increased over the last few years and it has become a major national debate in countries like the US, Canada and UK. I

1- Give a brief overview of the student debt in Canada.

2- What is the impact of student loans on: students (before college, during college and after college); the economy ; the society at large

3- What are some policies that Canada and other nations have implemented to mitigate student debt? What policies have been effective and why?

Network Solutions just introduced a​ new, fully automated manufacturing plant that produces 1,500 wireless routers per day with materials costs of $50 per router and no other costs. The average number of days a router is held in inventory before being sold is 54 days. In​ addition, they generally pay their suppliers in 27 ​days, while collecting from their customers after 26 days.

How much would working capital be reduced if they stretched their payments to suppliers from 27 days to 47 ​days?

A firm is considering the following investment project:

The project has a 5 year useful life with a $125,000 salvage value as shown. Double declining balance depreciation will be used. The combined income tax rate is 24% (21% federal, and 3% state). If the firm requires a 10% after tax rate of return, should this project be undertaken?

Suppose the Dutch government issued a bond with 20 years until maturity, a face value of €1000 and a coupon rate of 10% paid annually. The yield to maturity when the bond was issued was 5%.

1. What was the present value of the coupons when the bond was issued?

2. What was the present value of the bond when it was issued?

3. Assuming the yield to maturity remains constant, what is the price of the bond

   immediately before it makes the first coupon payment?

4. Assuming the yield to maturity remains constant, what is the price of the bond

   immediately after it makes the first payment?

In an effort to improve the mathematical skills of 6 students, a teacher provides a weekly 1-hour tutoring session for the students. A pre-test is given before the sessions, and a post-test is given after. The results are shown here. Use a 0.05 to test the claim that the sessions help to improve the students' mathematical skills. Student 1 2 3 4 5 6 Pre-test 82 76 91 62 81 67 Post-test 88 80 98 80 80 73 Find the P-value.

Donna wants to test whether or not drinking coffee will immediately increase heart rate while sitting in class. Six people measured their heart rates before drinking coffee and then the same six people took their heart rates after drinking their coffee. Please calculate the t-statistic for this experiment; then state the critical value; then come to a conclusion concerning the null hypothesis; and then state what the implications are concerning drinking coffee.

No Coffee                   Coffee

79                                  84

71                                  78

84                                  87

66                                  75

74                                  80

76                                  82

Donna wants to test whether or not drinking coffee will immediately increase heart rate while sitting in class. Six people measured their heart rates before drinking coffee and then the same six people took their heart rates after drinking their coffee. Please calculate the t-statistic for this experiment; then state the critical value; then come to a conclusion concerning the null hypothesis; and then state what the implications are concerning drinking coffee.

No Coffee                   Coffee

79                                  84

71                                  78

84                                  87

66                                  75

74                                  80

76                                  82

1. The government imposes an excise tax on office rental space. Before the tax, the equilibrium price of office rental space was $3,500. After the tax is imposed consumers pay $3,600 on office rental space, $3,200 of which producers receive.

[1] a) Calculate the excise tax on office rental space.
[1] b) What is the incidence of the tax to the consumer?
[1] c) What is the incidence of the tax to the producer?
[2] d) Illustrate your answer on a diagram using the concept of elasticity to explain what must be true for this scenario to arise.