g.i.iti.ii

i

'"| . ., l .

,j :.1

: . "

1

f '

:l

d.,,:i

q:

-i

i-g:.r.

j

$:J.$l

i.:.li'.

1 . This is to identify the exam version you have - IMPORTANTMark the A

2. This is to identify the exam version you have - IMPORTANTMark the B

3 .n(

If the only forces acting on a 2.0-kg mass are F, = (3i - 8j) N and F, = (5i + 3j) N, what isthe mamitude of the acceleration of the mass?

*s) '' {'1 -ia. 1 .5 m/S-

iat=l'? =tn

n(5.

4.

^Hl l h

A block is pushed up a frictionless 30' incline by an applied force as shown. If f = 25 Nand M = 3.0 kg, what is the magnitude of the resulting total acceleration [we have

vity, tool of the block?

3a t.u 2d'tr aa.

b.c .q .

e.

.,.tf th1,.;-7=,G

f / ,) rv/ s

4.6 m/s2J .5 m/ s -

2.9 rn/ s2

5 .1 m/ S-

5 .

' t 1\,

An astronaut [m = 81.6 kg] lifts off from planet Zuton in a space ship. The free-fallacceleration on Zuton is 3.0 m/s2 (down). At the moment of liftoff the acceleration of

h Bzn o*

= h - 3 2 ,t " -

IhJr^,*

b .c,d.

the space ship is 0.50 m/gf{gn). \A4rat is the magnitude of the force of the space ship onthe astronautl I l-C rnct fdrp

€ : F * . t r t ' Q

0.20 kN0.37 kN

al,_(

a , f z

b .

1-7

The horizontal surface on which the objects slide is frictiorLless. If M = 1.0 kg and themagnitude of the force of the small block on the large block is 5.2 N, determine F.

: f Zv =74'IVrre

b .

d.e,

6.0 N

&4.8 N4.1 N

Z E 2n,W = (zn r te{ . s . 2

CI

r/

7.

c,Two bodies, A and B, collide as shown in Figures a and b below.

t o t

a t u . t u

(a) (b)Which statement is true?a. They exert equal and opposite forces on each other in (a) but not in (b).

a, They exert equal and opposite {orce on each other in (b) but not in (a).

I They erert equal and opposite force on each other in both (a) and (b). 9id. The forces are equal and opposite to each other in (a), but only the componentsof the forces parallel to the velocities are equal in (b).e. The forces are equal and opposite in (a), but only the components of the forcesperpendicular to the velocities are equal in (b)

8.

0Three boxes slide on a frictionless horizontal surface when pulled by a force ofmagnitude F. When we cornpare the tensions I and T, with the force F, we find ihat

a.

b .

'1- - ' , t ' - E

T t = F > T zF > T r = T r .L > 1 1 > 1 2 . V

F T 1 < 7 1 - T 2 .

c ,

!)e,

a

9.

.7A roller-coaster car has a mass of 500 kg when fully loaded with passengers. The carpasses over a hill of radius 15 m, as shown. At the top of the hi1l, the car has a speed of

(

a,

b .7.0 kN up7.0 kN down2.8 kN down

a ' < - - \ ' \

<_rykNrd)5.6 kN down

L& na"( ;. - L

t B ' n t = z t g J t\t€ zc" 1*'n

Fo = n^:6 = ?2oo 0

t J [qztz^Lt3J,tu n,a,1

c .

d.

td.a, t4ztlr

10.

{

" l1

a.b .

:No .

ever).where the sameat the topat the bottoml o f r r n r l t i o h t^_" __' - _ ' t t_ "

4n

1 1 .

c{

An object moving along the :r axis is acted upon by a force F, that varies with positionas shown. How much work is done bv this force as the obiect moves fromx = 2 r r . t o x = 8 r n ?

r, (N) ", . . . . ' -* '7LL)= : fin, <r * ?ol

x * /= ! ( , gz?=-4D'.

(

30'ttJ

a.b.

@d.e.

- 1 0 T+10 J+30 J-30 J+40 T

1,2.

qA 10-kg block on a horizontal frictionless surface is attached to a llght spring (forceconstant = 1.2 kN/m). The block is initially at rest at its equilibrium position when aforce (magnitude P) acting parallel to the surface is applied to the block, as shown.When the block is 8.0 cm from the equilibrium position, it has a speed of 0.80 m/s.How much work is done on the block by the force P as the block moves the 8.0 cm?

r(/et, l*ts & ,i) = lj,"pr

Iu l *

tQ

+p * Q +Dp I=1' 0

a.D .

d.

8 3 1

, I llro.t

)k x *

13.

Ea.

Ic .

d .

Carts A and B have equal masses and travel equal distances D on side-by-side straightfrlctionless tracks while a constant force F acts on A and a constant force 2F acts on B.Both carts start fuom rest. The velocities vo and vu of the bodies at the end of distance Dare related by ft: tr *> 1,4)

E 2p *>2rJv u = 2 v o ,

vA = 2vB.

tu = 1p .,ro.

*., /a -) v.-',1rr -) 'r{ v

*r = j'+ r/r

1.4.

?A champion athlete can produce one horsepower (746 W) for a short period of time. Ifa athlete were to bicycle [70-kg combined athlete + bike] to the summit of a 500 m highmountain while expending power at this rate, she would reachJhe sumrnit in ho,rv

amany seconds?a. 1

100035 000

L l + a 6P 7d.