Permutation Notation

Quadratic Inequalities

physics12_practice_mtexam

Some practice for you...(an old midterm)

Physics 12: Midterm Exam

Please be sure to show all of your work.

1. Does the acceleration of a projectile ever go to zero? Explain.

2. For a projectile thrown at 60.0 km/h but at 50 degrees to the horizontal calculate:

a. the vertical velocity at 3 seconds

b. the horizontal velocity at 3 seconds

c. the instantaneous velocity at 3 seconds.

3. A tennis player serves a tennis ball from a height of 2.5 m. If the ball leaves the racket horizontally at 115 km/h, how far away will the ball land?

4. Will a football, kicked at 25 m/s at an angle of 35 degrees, clear a bar 3.0 m high and 23.0 m away? If so, by how much does it clear the bar? If not, by how much is the ball short?

5. Josie the pilot has a heading of [W 65⁰ S] and a ground speed of 230 km/h. If the wind speed is 95 km/h south, determine Josie's speed relative to the air.

6. Cara kicks a ball at Ryan (he was teasing her) at 20 m/s from [W 30^o N]. It rebounds at 5 m/s at [E 50^o N]. Find the change in velocity of the ball (Be careful with the diagram here-remember to write your vector equation down first).

7. Allana tosses a 32.5g puck in the chuck a puck during intermission. If it starts gliding at 0.77 m/s and experiences a frictional force of 0.0070 N, how long does the puck take to stop and how far did it travel?

8. Shandra gets her dad's truck stuck in the snow. She convinces the boys from physics to push her out. Daniel and Benny push from the sides at an angle 27^o. Ryan gets to push from the center. They each apply a force of 355N. Find the acceleration of Shandra and the truck (mass 1500kg) assuming no friction. If the acceleration was 0.37m/s², find the force due to friction.

9. If the coefficient of friction of a ramp is 0.85, determine the minimum angle required so that a box will begin to slide.

10. Determine the acceleration and tension of a system where a 3 kg mass rests on a 35 degree incline (coefficient of friction 0.35) and a 5 kg mass hangs by a string off of the edge of the incline.

11. Cassandra designs a roller coaster with a vertical loop of radius 28m. What is the minimum speed the car must go through the loop so that his design doesn't hurt anyone.

12. Alyssa builds a giant clock with a pendulum 11.25 m long. If the bob is 3.875 kg determine the maximum tension when it swings with a speed of 3.5 m/s.

13. A squirrel attaches an acorn (mass 25g) to the end of a 0.80m long string and spins it in a vertical circle at a speed of 4.85m/s (angry little squirrel). Determine the maximum and minimum tensions in the string.

14. The average accelerating force exerted on a 3.50kg shell is 2.25x10⁴ N. If the muzzle velocity is 265 m/s calculate:

a) the impulse on the shell

b) the length of time it takes the shell to exit the gun barrel.

15. A billiard ball moves at 6.8 m/s to the right. A second identical ball moves at 4.5 m/s to the left. If ball 2 moves with a velocity of 2.5 m/s to the right after they collide, what is the velocity of the first ball?

16. A 47 kg skateboarder runs at 5.2 m/s and jumps on his 1.75 kg skateboard (initially at rest). Find the combined speed of the skateboard and the rider.

17. A 325g bullet moving at 315 m/s hits and travels through a 1.25 kg block of wood, 0.35 m long. If the bullet's speed is 125 m/s after it leaves the block of wood find:

a) the block's velocity after the bullet exits;

b) the impulse applied to the block

c) the time the bullet spent in the wood;

d) the force applied to the bullet.

18. A soccer ball of mass 0.55 kg is kicked with a horizontal speed of 38 m/s. If a 29 kg goalie jumps up a catches the ball in mid-air (hooray for Gemma), what is the goalies's horizontal speed just after she catches the ball?

19. Radioactivity is the result of atoms that decay or break apart spontaneously. A stationary parent nucleus of mass 1.25x10^-24 kg decays into three particles. One particle of mass 3.1x10^-25 kg has a velocity of 2.1x10⁷ m/s [E 45^o N]. A second particle has a mass 2.9x10^-25 kg with a velocity of 4.2x10⁷ m/s [W 23^o N]. Determine the mass and velocity of the third particle.

20. A 14000 kg space shuttle with a velocity of 3800 km/h [E 25^o N], wishes to change it's course by 15 degrees. It does so by ejecting an object at a speed of 5.0x10³ km/h [S]. Calculate the mass of the object (I couldn’t resist so here’s your HINT: Think SOH CAH TOA)

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Practice Midterm Exam

With the midterm exam looming late next week here's an old one that might help you get started on you review.

Good Luck

Practice Midterm

Electric Fields

I was reading through section 13.7 and decided that it goes a little further than grade 11 requires. That means that we're at the end of the chapter and need to schedule a test. Given that I'm not back until Monday I'm thinking that the earliest will be Wednesday next week, perhaps Thursday. If you have other ideas or concerns email me before the weekend.

I liked how our 'make your own quiz' project went so I'd like to try it again. This time we'll take a little more time to make it a bit more of a finished product. For today and tomorrow I want you to make sure that your homework is finished...all of it. Then make up some questions for the chapter. We haven't talked about 13.5 at all so read that and we'll review it Monday.

I'd like at least one question for each section. That makes the total seven. I realize that for 13.1 and 13.2 there isn't much to ask about, but if you read the sections there might be something that "sparks" your interest. Be creative. If not, make a question that requires you to know something from those sections. For section 13.3 I'd suggest page 530 Table 13.1. Read about how to use a table of electrostatic strengths and make a question from that. If you're having difficulty try either the internet, email me, or wait until Monday and I'll work with you then.

The other sections should be fairly easy to make some questions on. Use the examples as a guide if you get stuck.

As before, please write up an answer key with solutions on a separate sheet with comments on your process of how to solve them. I'd like these in draft form for Monday, along with your completed homework. Monday we'll trade papers and try out each other's quiz (which is why it's really important to have these in a workable form for Monday).

Did I mention that Monday was the due date for having all of your homework and a working draft of your quiz? Have a great weekend and please be careful on the roads.

Exercise #33: Operations on Radicals

So this post is for those of you away with sports (good luck by the way). While you're away you may be able to keep up by taking a look at The Math Page. It covers everything we're going to discuss while you're away.

my new post

Here is my new post for today. I hope you're getting your homework done early...

Remember about the test on Tuesday.