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Soal latihan

1. The position of point P on the plane XY isexpressed as in the figure.

Y (m)

a. r = ( i + 8j ) m and r = 65 mb. r = ( 3i + 4j) m and r = 5 mc. r = ( 8i + 6j ) m and r = 10 m

d. r = (6i + 8j ) m and r = 10 me. r = ( 7i + j ) m and r = 5 2 m

2. A particle move along X-axis, of whichthe position is expressed by X = 6t 2 + 1,Xis m and t is s. The average velocity intime interval between 1 and 3 s is .a. 5 m/s

b. 10 m/sc. 14 m/sd. 24 m/s

e. 48 m/s

3. The equation of particle velocity isV = V x i + V y j m/s. Where V x = 2t and

V y = 3 + 6t 2.The equation of the position vector of particle is .

a. r = t i + ( 3t + 2t 2) j b. r = t 2 i + ( 3t + 2t 3) j

c. r = 2t i + ( 3 + 2t ) jd. r = 2t 2 i + (3t 2 2t ) je. r = t 3 i + 3t 2 j

4. A particle is thrown vertically upwardaccording to the equation y = ( 30t 4t 2 ) mthe initial velocity by the particle are m/s.a. 5

b. 10c. 20d. 30e. 35

5. The position vector of a body is expressed by r = 4t 2 I (6t 2 + 2t) j (4t 3 1) k, t is

second and r is in meter .The accelerationof the body at = 1 second is m/s 2.a. 10

b. 14c. 20d. 28e. 30

6.An object starts moving at a velocity4i,then it is accelerated by accelerationa = 2t i + 4 j. The velocity of object at t= 2

s is m/s.a. 8 b. 8 2c. 12d. 16e. 12 2

7. Components of velocity at time t are Vx =2t and Vy = t 2 + 4 ,where t in second andVx, Vy in m/s. The average acceleration

between t = 1 s and t = 2 s is .a. 2 i + 3 j

b. 2 i + 4 jc. 4 i + 8 jd. 2i + 8 je. 3 i + 2 j

8. In general, what is the shape of the path of a projectile ?a. a hyperbola

b. a parabola

8

X(m)

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c. a straight lined. a circlee. a linier

9. A stone is thrown horizontally from thetop a 20 m building with a speed of 12m/s. How far from the building will itland ?a. 12 m

b. 24 mc. 120 md. 240 me. 1200 m

10. A projectile reaches a height h when

launched at an angle

with speed Vo.If this projectile is launched from thesame level at the same angle with speed2 Vo, how high will it go ?a. h/4

b. h/2c. hd. 2he. 4h

11. A bullet is shot at initial of velocity 60

m/s and elevation angle of 600

from a flatground, air friction is neglected andgravitational acceleration g = 10m/s 2.The maximum height reached bythe bullet is .a. 3 3 m

b. 6 3 mc. 60 md. 135 me. 180 3 m

12. What angle results in maximum

range ?a. 0 0

b. 30 0

c. 45 0

d. 60 0

e. 90 0

13. A projectile is shot at initial velocity of 30 m/s and forms an angle of 30 0 to the

horizontal plane. When reaching thehighest point its velocity is .m/s.

a. zero b. 15c. 15 3

d. 30e. 30 314. A projectile travels a distance R when

launched at an angle with speed Vo. If this projectile is launched from the samelevel at the same angle with speed2Vo,how far will it go ?a. R/4

b. R/2c. R d. 2R

e. 4R 15. An object have mass 10 kg influenced bya style of F = ( 120t + 40 ) N movingalong as straight line of t = 0 speed of object 6 m/s. The velocity of the objectat t = 2 s is m/s.a. 28 d. 56

b. 32 e. 62c. 38

16. A particle motion complies with the

equation = ( 2t2

4t + 10 ) rad. Theangular velocity of the particle is .rad/s.a. 4t 2

b. 4t tc. 4t 4d. 2t 4e. 2t t

17. The angular position of point on a wheelis expressed by = ( 3t 2 8t + 5 ) rad,where t is in second. The angular

position at t = 0 is rad.a. 3 d. 11 b. 5 e. 13c. 8

18. An object motion complies with theequation = ( 2t 2 + 5t 8 ) rad. Theangular velocity of the object at t = 2 s is. rad/s.

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a. 5 b. 10c. 13d. 15e. 20

19. A body which is initially at rest isaccelerated in a circular path with radiusof 3m according to the equation = 6t rad/s 2. If initially the angular

position of the body is equal to zero, thenits angular position at t = 2 s is . rad.a. 2

b 6c. 8d. 12e. 24

20. The angular acceleration of a particle is 4rad/s 2. If its initial velocity is 4 rad/s,then its velocity after moving for 5 s is rad/s.a. 12

b. 16c. 24d. 30e. 36

21. An object moves circularly according tothe equation = ( t 2 + 2t + 5 ) rad/s. The

average angular acceleration of theobject from t = 0 to t = 2 s is .rad/s.123

d. 4e. 5

22. A particle motion complies with theequation = ( 4t 3 + 3t + 2 ) rad. Theangular acceleration of the particle is .rad/s 2.

a. 2 b. 4c. 8d. 10e. 12

23. The gravitation field on the surface of Earth equals to . . . .a. gravitation acceleration

b. gravitation constantc. gravitation potentiald. gravitation energye. gravitation force

24.We have the gravitation acceleration on

the surface of Earth g 0 and Earthsradius R. The gravitation accelerationat a place of R distance from thesurface of Earth is . . . .

a. 4 g 0b. 2 g 0c. 1/2 g 0d. g 0e. 1/10 g 0

25. We have the ratio between a planetradius Rp and Earth radius R Bis 2 : 1,

while the ratio between the planet massm p and Earth mass m B is 10 : 1. If the person weight on Earth is 200 N, the person weight on the planet will be . . .a. 100 N

b. 200 Nc. 360 Nd. 400 Ne. 600 N

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