2 Problems on University Physics I - Exam 1 | PHYS 2050, Exams of Physics

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X1.

PHYS-205(8) (Kaldon-18454)

Name ______________________________________________

Exam 1 - 100,000 points + 20,000WMU - Spring 2001

(^)
(^) points

Book Title __________________________________________

05/10/2001•Rev.

State Any Assumptions You Need To Make – Show All Work – Circle Any Final Answers Use Your Time Wisely – Work on What You Can – Be Sure to Write Down Equations

Feel Free to Ask Any Questions

2a

2b

2c

2e

18.48 meters in one minute. (a) Find the speedis approximately 60 feet or 18.48 meters. For the model train to appear to go “60 mph”, it needs to cover 1.) HO-scale model trains are sized so that 3.5mm of model represents 1 foot in real life. So a scale mile The Atchison, Topeka and the Santa Fe Railway – 1:1/87.1 (35,000 points)

(^) v (^) of the

the acceleration.(b) Model trains accelerate quickly – the train can get going from at rest to “60 mph” in 1.00 meter. Findmodel train.

(^) If you didn’t get an answer to (a), use v = 0.500 m/s

.

acceleration.(c) Or you can accelerate the train so that you go from rest to a scale “60 mph” in 1.00 seconds. Find the

(^) Which acceleration is bigger, (b) or (c)? If you didn’t get an answer to (a), use v = 0.

m/s

.

same time. How fast was this second model train going?(d) The model train travels 20.0 meters at “60 mph”. A second model train travels 25.0 meters in the

(^) If you didn’t get an answer to (a), use v = 0.

m/s

.

acceleration equal to(e) A third model train is traveling at 0.250 m/s and smoothly accelerates to 0.350 m/s with an

1.00 G

. Find the time and distance that this train travels during this acceleration

Physics 205 / Exam 1

Spring 2001

Page 2

bottom of the trash. (a) How fast was the ball of paper going at the bottom of the trash?of paper into a tight little ball and walking over to the trash container and dropping it 1.25 meters into 3.) Tired and frustrated, Dr. Phil can’t come up another problem at 1:25 am. So he crumples up a piece Trash (35,000 points)

time from 3.00 meters away. It took 0.500 seconds to rise to the(b) At 1:30 am, Dr. Phil tosses another ball of paper into the trash – this

(^) turning

point

, and 1.000 second to fall. What is the horizontal speed of the ball of

paper,

(^) v x ?

(c) For this second wad of paper, how high above the ground did the ball of paper

(^) start

?

(d) For this second wad of paper, find

(^) v y of the ball of paper when it reaches the bottom of the trash

(e) What is final speed, container.

(^) v , at the bottom of the trash container?

Physics 205 / Exam 1

Spring 2001

Page 3

Same But Different. Always Different.

(30,000 points)

2.) An object’s equation of motion is

(^) v

t m s t m s t m s t

y (^) ( )

. /. /. /





(^4)

(^3)

2

c

h

c

h

e

j

e

j

.

(a) Find the equation for the position of this object.

(b) Find the equation for the magnitude of the speed of this object.

(c) Find the equation for the acceleration of this object.

Physics 205 / Exam 1

Spring 2001

Page 4

(d) Sketch the vector

C

A

B



, where

A

(^) = 10.2 m/s @ 118°

(^) and

B

m si

m

s j



. / . / 

.

Find

(^) C x and

(^) C y .

(e) An object has its position given as

(^) a t

m

s t

( )

(.

/

)

(^8) (^6) Find the sixth derivative of

(^) x (^) with respect to

time at time

(^) t = 1.00 sec.