Physics 1 Competency Exam

8/18/2019 Physics 1 Competency Exam

http://slidepdf.com/reader/full/physics-1-competency-exam 1/5

TECHNOLOGICAL INSTITUTE OF THE

PHILIPPINES

PHYSICS COMPETENCY EXAM

NAME_____________________STUDENT

NO._________

DIRECTIONS: PROVIDE THE COMPLETE

SOLUTION TO THE PROBLEMS.

1. A car travels 100 miles to city A in 2 hours, and then

travels 200 miles to city B in 3 hours. What is theaverage speed of the car for the trip?

A. 4 mph !. "0 mph

B. #0 mph $. %&'(

2. 'he position of a particle moving along the )*a)is is

given +y )t- t2*t/#, here ) is in units of feet, andt is in seconds. ind the velocity of the particle hen

t is seconds.

A. ftsec !. ftsec

B. 11 ftsec $. %&'(3. f a particle5s position is given +y the e)pression )t-

3.4t3*.4t meters, hat is the acceleration of the

particle after second?A. " ms2 !. "0 ms2

B. 102 ms2 $. %&'(

4. A car starts from rest and moves ith a constant

acceleration of " ms2. What is the speed of the car

after 4 seconds?A. 24 ms !. 3 ms

B. 30 ms $. %&'(

. A car starts from rest and has a constant acceleration

of 3fts2. What is the average velocity during the first10 seconds of motion?

A. 30 fts !. 1 fts

B. 20 fts $. %&'(

". A truc6 increases its speed uniformly from 136mhr to 0 6mhr in 2 seconds. What is the acceleration of

the truc6?

A. 0.3" ms2 !. 0.1" ms2

B. 0.411 ms2 $. %&'(7. A +icycle moves ith a constant deceleration of

2fts2. f the initial velocity of the +i6e as 10 fts,

ho far does it travel in 3 seconds?

A. 3 ft !. 3 ftB. 21 ft $. %&'(

#. A +all is dropped from a height of "0 meters a+ove

the ground. 8o long does it ta6e to hit the ground?

A. 2. sec !. 3. sec

B. 1. sec $. %&'(. A man driving a car at 4 mph suddenly sees an

o+9ect in the road "0 feet ahead. What constant

deceleration is re:uired to stop the car in thisdistance?

A. 43.3 fts2 !. 3".3 fts2

B. 23.2 fts2 $. %&'(

10. A +all is thron vertically upard ith an initialspeed of #0 ftsec. 8o long ill it ta6e for the +all

to return to the throer?

A. 4.7 sec !. 1.3" sec

B. 10." sec $. %&'(

11. A pro9ectile is launched upard from level ground a

an angle of "0; ith the hori<ontal. t has an initial

velocity of 4 ms. 8o long ill it ta6e +efore the pro9ectile hits the ground?

A. 7.4 s !. 10.3 s

B. .3" s $. %&'(

12. A man standing at a indo meters tall atches afalling +all pass +y the indo in 0.3 seconds. rom

ho high a+ove the top of the indo as the +all

released?

A. 11.# m !. 30.3" mB. 20." m $. %&'(

13. A car starting from rest moves ith a constan

acceleration of 10 mihr 2 for 1 hour, then decelerates

at a constant mihr 2 until it comes to a stop. 8o farhas it travelled?

A. 20 mi !. 1 mi

B. 30 mi $. %&'(

14. A stream flos at 3 mph. At hat angle upstreamshould a +oat travelling at # mph +e launched in

order to reach the shore directly opposite to the

launch point?

A. 4; !. 10;

B. 22; $. %&'(1. A 3 6g +loc6 is moving at a speed of ms. What is

the force re:uired to +ring the +loc6 to a stop in

0.000# seconds?A. 4 6% !. 1#.# 6%

B. 4.4 6% $. %&'(

1". An o+9ect is launched at 4 to the hori<ontal on leve

ground. What is the range of the pro9ectile if its initiavelocity is 1#0 ftsec?

A. 1000 ft !. 117.3 ft

B. 4."0 ft $. %&'(

17. A pro9ectile leaves a velocity of 0 ms at an angle o30; ith the hori<ontal. ind the ma)imum height

that it could reach?A. 31.#" m !. 17.2" m

B. 2.0 m $. %&'(1#. A plane dropped a +om+ at an elevation of 1000

meters from the ground intended to hit the target at an

elevation of 200 meters from the ground. if the planeas flying at a velocity of 300 6mhr, at ha

distance from the target must the +om+ +e dropped to

it the target?

A. 2100. m !. 313.# mB. 10"4.2 m $. %&'(

1. A car of mass 1000 slugs accelerates in 10 seconds

from rest at a constant rate to a speed of 20 ftsec

What is the resultant force on the car due to thisacceleration?

A. 1000 l+f !. 3000 l+f

B. 2000 l+f $. %&'(

20. A +all is dropped onto a solid floor from an initiaheight, h0. f the coefficient of restitution is 0.0, ho

high ill the +all re+ound?

A. 0.#1h0 !. 0.4h0

B. 1.#0h0 $. %&'(21. A 1" grams mass is moving at 30cms hile a 4 gram

mass is moving in an opposite direction at 0 cms

they collide head on and stic6 together. their velocity

after collision is



A. 0.14 cms !. 0.4 cms

B. 0.2# cms $. %&'(

22. A "0 ton rail car moving at 1 mihr is instantaneouslycoupled to a stationary 40 ton rail car. What is the

speed of the coupled car?

A. 0. mph !. 0." mph

B. 0.1 mph $. %&'(

23. A 10 g +loc6 slides ith a velocity of 20 cms on a

smooth level surface and ma6es a collision ith a

30g +loc6 moving in the opposite direction ith avelocity of 10 cms. if the collision is perfectly

elastic, hat is the velocity of the 30 g +loc6 after the

collision?

A. 10 cms !. 30 cmsB. cms $. %&'(

24. A "0 ton rail car moving at 1 mihr is coupled to a

second stationary car. if the velocity of the to cars

after coupling is 1 fts and the coupling is completed

in 0. second, hat is the average impulsive force on

the "0 ton rail car?

A. 347#.1 l+f !. 2"4#.3 l+f

B. #"3.32 l+f $. %&'(2. 'he voltage drop across a device is 0 volts, and the

current dran is 30 A. 'he poer rating of this

device is?

A. 1 h !. .02 hpB. 2.01 hp $. %&'(

2". A charge of 0.7 coulom+s passes through a ire

every 1 seconds. What is the current in the ire?

A. 0.0 A !. 11.2 A

B. 0.03 A $. %&'(27. What is the speed of light through a glass hoseinde) of refraction is 1.33?

A. 3.11)10# ms !. 2.2")10# ms

B. 1.2)10# ms $. %&'(

2#. What is the inde) of refraction of a material if thespeed of light through the material is 2.37)10# ms?

A. 1.3 !. 1.27

B. 1." $. %&'(

2. An o+9ect " centimeters high is placed 12 centimeters

aay from a concave mirror hose focal length is 3"

centimeters. What is the height of the image?

A. cm !. cm

B. 3 cm $. %&'(30. A magnifying glass has a plastic lens ith an inde) of

refraction of .4 and radii of curvature of 2. feet

and 4.27 feet for the to faces. What is the

magnification of the lens hen it is held 2.3" inches

from an o+9ect +eing vieed?A. 1.# !. 1.12

B. 1.3 $. %&'(

31. What is the photon energy associated ith green*+luelight of avelength 00 nanometers?

A. 2)10*1 = !. 4)10*1 =

B. ")10*1 = $. %&'(

32. A stationary o+server hears a siren approaching. the

siren has a sound fre:uency of 700 8<, and i

approaching the o+server at 0 mph. hat is thefre:uency heard +y the o+server? assume the velocity

of sound of air is 10#7 ftsec.

A. 120 8< !. 12 8<

B. 70 8< $. %&'(33. 'hree forces 20, 30, 40 % respectively are in

e:uili+rium. ind the largest angle they ma6e ith

each other?

A. 104.4#; !. 234.4#;B. 14.4#; $. %&'(

34. 'o forces of 20 unit and 30 units act at right angle

What is the magnitude of the resultant force?

A. 20 units !. 3" unitsB. 1 units $. %&'(

3. What is the magnitude of the resultant force of the

to forces 200 % at 20; and 400 at 144;?

A. 30 % !. 332. %B. 201 % $. %&'(

3". A 100 6g eight rest on a 30; incline plane

%eglecting friction, ho much pull must one e)ert to

+ring the eight up the plane?

A. 0 6g !. 7 6gB. 100 6g $. %&'(

37. A +loc6 eighing 00 6% rest on a ramp inclined a

2; ith the hori<ontal. 'he force tending to movethe +loc6 don the ramp is

A. 23 6% !. 10 6%

B. 211 6% $. %&'(

3#. A man e)erts a ma)imum pull of 1000 % +ut ishesto lift a ne stone door his cave eighing 20000 %

f he uses a lever, ho much closer must the fulcrum

+e to the stone than to his hand?

A. 10 times nearer !. 1 timesnearer

B. 20 times nearer $. %&'(3. A +eam rests on a fulcrum, 1.2m from one end. A

eight of 30 6g is suspended from this end causingthe +eam to +alance. f the eight of 30 6g is

suspended on the opposite end of the +eam, it is

necessary to suspend 1000 6g eight on the first endin order to +alance. ind the length of the +eam.

A. 2.4# m !. 3.43 m

B. 2.4 m $. %&'(

40. A 40 6g +loc6 is resting on an inclined plane ma6ingan angle of 20; from the hori<ontal. if the coefficien

of friction is 0."0, determine the force parallel to the

incline that must +e applied to cause impending

motion don the plane.A. #7 % !. 4 %

B. 23 % $. %&'(

41. A 20 l+ +loc6 is initially at rest on a flat surface tha

is inclined at 30;. if the coefficient of 6inetic frictionis 0.30 and the coefficient of static friction is 0.40

find the force re:uired to start the +loc6 moving up

the plane.

A. 120 l+ !. 31 l+B. 212 l+ $. %&'(



COMPETENCY EXAM

>8@!@

1. A 200 l+ man hangs from the middle of a tightly

stretched rope so that the angle +eteen the rope and

the hori<ontal direction is

°

. !alculate the tensionof the rope?

a. 1104 l+ +. 1147 l+c. 120 l+ d. 120 l+

2. 'o men lift the ends of a 20ft +eam eighing 200 l+

onto their shoulder. Both men are of the same height

so that the +eam is carried hori<ontally, +ut one ismuch stronger and ishes to +ear 0 more of the

eight than his mate. 8o far from the end of the

+eam should he put his shoulder?

a. 1. ft +. 2 ftc. 2.7 ft d. 3.33 ft

3. A 20 6g child and 30 g child sit at the opposite ends

od4*m seesa that is pivoted at its center. 8o manymeters from the 20 6g child should another 20*6gchild sit in order to +alance the seesa?

a. 0. m +. 0.7 m

c. 1.0 m d. 1.2 m

4. A door 7 ft high and 3 ft ide has hinges at the topand +ottom of one edge. ach hinge supports half of

the 40*l+ eight of the door. ind the hori<ontal

components of the door e)erted on each hinge.

a. #." l+ +. ." l+c. 10." l+ d. 11." l+

. An automo+ile traveling at a speed of 30 mph

accelerates uniformly to a speed of "0 mph 10

seconds. 8o far does the automo+ile travel duringthe time of acceleration?

a. 330 ft +. 440 ft

c. 0 ft d. ""0 ft

". $uring a ta6eoff roll, a 9um+o 9et is accelerating at4ms2. f it re:uires 40 s to reach ta6eoff speed,

determine the ta6eoff speed?

a. 1"0 ms +. 1#0 ms

c. 200 ms d. 220ms7. 'he turnta+le of a record player is accelerated from

rest to a speed of 33.3 rpm in 2 seconds. What is the

angular acceleration in radian per second s:uare?

a. 1.4 +. 1."4

c. 1.74 d. 1.#4

#. A man standing on a roof of a +uilding 30 m high

thros a +all vertically donard ith an initiavelocity of ms. What is the velocity of the +all as it

stri6es the ground?

a. 20.7" ms +. 227" ms

c. 24.7" ms d. 2".7" ms

. A shell is fired at an angle

°40

a+ove the hori<onta

at a velocity of 300 ms. What is the time of flight?a. 3 s +. 41 s

c. 43 s d. 4 s

10. A rifle ith a mu<<le velocity of 200ms is fired ith

its +arrel hori<ontal at a height of 1. m a+ove theground. 8o far aay from the rifle does the +ullet

stri6e the ground?

a. 100 m +. 110 m

c. 120 m d. 130 m11. A "0*g tennis +all approaches a rac6et at 1ms,is in

contact ith the rac6et for 0.00 s, and re+ounds at

20ms.ind the average force that the rac6et e)erted

on the +all?a. C420 % +. C40 %

c. C4#0 % d. C10%12. An empty truc6 hose mass is 2000 6g has a

ma)imum acceleration of 1ms2. What is thema)imum acceleration +e hen it carries load o

1000 6g?

a. 0.ms2 +. 0."7 ms

c. 0.7 ms d. 1ms2

13. A eight of 0 l+ and another of 30l+ are suspended

+y a rope on either side of a frictionless pulley. Wha

is the acceleration of each eight?

a.# fts +. fts2

c.10 fts2 d. 12 ft s2

14. A 3200l+ car is sloed don uniformly from

"0mphto 1 mph along a level road +y a forceof1100l+. 8o far does it travel hile +eing sloeddon?

a. 330 ft +. 440 ft

c. 0 ft d. ""0 ft

1. A 00 6g +uc6et is raised and loered in a verticamine shaft using a ca+le. $etermine the upard force

e)erted +y the ca+le hen the upard acceleration is

4 m2.

a. 400% +. 00 %c. "00 % d. 70%

1". What is the acceleration at a point on a rim of a

flyheel0.0 m in diameter, turning at a rate 120 mph

a. 700 m

s

+. "200 m

s

c. ""00 ms d. 7100 ms

17. A train hose speed is"0 mph rounds a curve hose

radius of curvature is 4#4 ft. What is the acceleration

in fts?a. 12 +. 13.

c. 1 d. 1"

1#. What is the minimum coefficient of static friction

re:uired of a curvature car traveling at "0 6ph toma6e a level turn 40m in radius?

a. 0." +. 0."#

c. 0.71 d. 0.7



1. 'he coefficient of static friction +eteen s car5 s fire

and a certain concrete road is 0. hen the road is

dry and 0.7 hen the road is et. f the car can safelyma6e a certain turn at 06ph an dry day, hat is the

ma)imum velocity on a rainy day?

a. 3 6ph +. 37.6hh

c. 40 6ph d. 42 6ph20. A 10*g +ullet has a velocity of "00mshen it leaves

the +arrel of a riffle. f the +arrel is "0 m long, find

the average force on the shell hile it is no +arrel?

a. 3000 % +. 300 %c. 4000 % d. 400 %

21. A ru++er +all is dropped on a floor from a height of

m. f the coefficient of restitutions is 0.7, find the

height of the hich +all re+ounds?a. 2.4 m +. 2.7 m

c. 3.2 m d. 3. m

22. A 40 6g s6ater traveling at 4 ms overta6es a "0 6g

s6ater traveling at 2 ms in the same direction andcollides ith him. f the to s6aters remain in

contact, hat is their final velocity?

a. 2.4 ms +. 2." ms

c. 2.# ms d. 3 ms

23. A 6g rifle fires a 1 g +ullet at a mu<<le velocity of "00 ms. ind the recoil velocity of the rifle.

a. C1.# ms +. C2.2 ms

c. C2. ms d. C3 ms24. A 200 g of ater is mi)ed to 300 g of alcohol hose

density is 706g m3. !alculate the specific gravity of

the total mi)ture.

a. 0."7 +. 0.#"2c. 0.12 d. 1.0

2. A 72 6g man 9umps off a raft hose +ase area is 4 m2

floating in a freshater la6e. By ho much does the

raft rise?a. 1.# cm +. 2.0 cm

c. 2.2cm d. 2. cm2". 'he density of ice is 20 6gm3 and that of seaater

is 1030 6gm3. What percentage of the volume of anice+erg is su+merged?

a. 11 +. 1

c. # d. # 27. A steel +eam in a +ridge e)tends 2 m across a small

stream. What is the change in length from the inter,

hen the temperature is

°20

!, to the summer hen

it is

°37

!. 'he coefficient of linear e)pansion of

steel is 12)10*"

C °

.a. 17mm +. 1 mm

c. 21mm d. 23 mm

2#. At

C °20

, an aluminum rod and a copper rod have

the same lengths f 1.#m. 'o hat temperature must

they +e heated to differ in length +y 0.02 cm? 'hecoefficient of linear e)pansion of aluminum and

copper are is 1".# )10*"

C °

and 24)10*"

C °

,respectively.

a.

C °1#

+.

C °2#

c.

C °32

d.

C °3

2. 6g of ater at

°40

is poured on a +loc6 of ice atC °0

. 8o much ice melts?a. 1 6g +. 1. 6g

c. 2 6g d. 2. 6g

30. A total of 0.# 6g of ater at

C °20

is placed in 1 6Welectric 6ettle. 8o long a time is needed to raise the

temperature of ater to

C °100

.a. 3. min +. 4. min

c. . min d. ". min

31. n preparing a tea, "00 g of ater at

C °0

is poured

into 200 g china pot hose specific heat capacity is

#40=6g

C °

and temperature of

C °20

. What is the

final temperature of ater?

a.

C °".#1

+.

C °".#3

c.

C °".#

d.

C °".#7

32. 'o charges, one of /

C µ .0

and the other oC µ 2.0

, attract each other ith a force of 100 %.

8o far apart are they?a. 3 mm +. 4 mm

c. 30 mm d. 40 mm

33. A 12 D storage +attery is +eing charged at a rate o

1!s. ho much poer is +eing used to charge the +attery?

a. 10 W +. 1#0 W

c. 210 W d. 240 W

34. A 100 ohm and 200 ohm resistor are connected inseries ith a 40 D poer source. 8o much poer is

dissipated +y the 100 ohm resistor?

a. 1.7#W +. 2.2W

c. 3.2#W d. 3.W

3. A ire has a resistance of 30 ohm at

°20

!. What is

the resistance at

°#0

! assuming that the temperature

coefficient of resistance is 0.003# at

°20

!?a. 33.3 ohms +. 34.3 ohms

c. 3.3 ohms d. 3".3 ohms

3". A ire has a resistance of ohms. What ill +e the

resistance of another ire of the same material threetimes as long and half the cross sectional area?

a. 30 ohms +. 2 ohms

c. 2# ohms d. "0 ohms

37. A 10*ohm resistor, 2 8 conductor and

µ 2

capacitor are connected in series. What current ill



+e dran if the circuit is connected across a 200 D, "0

8< supply?

a. 0.1 A +. 0.23 Ac. 0.31 A d. 0.47 A

3#. ive 1. D cells are connected in series. f the internal

resistance of each cell is 0.2 ohm, hat e)ternal

resistance ill produce a current of 2 A through thecells?

a. 1.7 ohms +. 2.2 ohms

c. 2. ohms d. 3 ohms

3. ind the length in meters of a simple pendulumhose period is 2 seconds?

a. 0.# +. 1.0

c. 1.2 d. 1.

40. A 100 g o+9ect is suspended from a spring hoseforce constant is 0%m. What is its fre:uency?

a. 3."8< +. 4." 8<

c. ." 8< d. "." 8<

41. 8o many times more intense is a 0 dB sound thana 40 dB sound?

a. 1.2 +. 10

c. 100 d. 1000

42. !alculate the fundamental fre:uency of vi+ration of

the A*string of a violin, hose mass is 0.30 g andlength is 33 cm and is stretched under a tension of

77%?

a. 220 8< +. 310 8<c. 30 8< d. 440 8<

43. 'he siren of a fire engine has a fre:uency of 00 8<.

f the fire engine approaches a stationary car at

20ms, hat fre:uency does a person in a car hear?a. 471 8< +. 00 8<

c. 31 8< d. " 8<

44. 'he siren of a stationary fire engine has fre:uency of

0o 8<. f a car drives aay from it at 20ms, hatfre:uency does a person in the car hear?

a. 471 8< +. 00 8<c. 31 8< d. " 8<

4. 'he inde) of refraction of diamond is 2.42. What i

the velocity of light in the diamond in ms?

a. 1.24 ) 10# +. 1.24 ) 10#

c. 3 ) 10# d. 7.2# ) 10#

4". A +eam of light in air falls on a glass surface of an

angle of incidence of

°20

.f the angle of refraction in

the glass is

°4.12

, hat is the inde) of refraction of

the glass?a. 1. +. 1.

c. 1."" d. 1.72

47. 'he ater in the simming pool is 2m deep. 8o

deep does it appear to +e someone loo6ing don it ifthe inde) of refraction of ater is 1.33?

a. 1.33 m +. 1. m

c. 1.7 m d. 2 m

4#. A doughnut 3 inches in diameter is places 24 inchefrom a converging lens hose focal length is 1"

inches. What is the si<e of the image?

a. C4 in +. C" inc. 3 in d. in

4. A planoconcave lens has one plane surface and one

concave surface. f the planoconcave lens of focalength of C10cmis to +e ground from optical glass ofinde) of reaction, find the radius of curvature of the

surface.

a. C cm +. C10 cm

c. cm d. 10 cm0. (lycerin has an inde) of reaction of 1.47. ind the

focal length in glycerin of a lens made of flin

glassn 1."3- hose focal length in air is 10 cm.

a. 11 cm +. 23cmc. 3 cm d. #

Documents

Physics 1 Competency Exam