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g=10 m/s 2, sin 37

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University of Bahrain Physics 101 Test 2 Fall 2003<br />

Physics Department Tuesday, 30/12/2003 60 minutes<br />

Name:<br />

Instructor Name:<br />

ID no.:<br />

Section:<br />

Use: <strong>g=10</strong> m/s 2 , <strong>sin</strong> <strong>37</strong> ◦ = cos 53 ◦ = 0.6, <strong>sin</strong> 53 ◦ = cos <strong>37</strong> ◦ = 0.8<br />

Choose the correct answer for the following questions:<br />

1. An 80 kg athlete starts running from rest to a speed of 5 m/s. The net work done (in J)<br />

is:<br />

(a) 1000 (b) 1440 (c) 1960 (d) 2560<br />

2. A force of 10 N stretches a spring 5 cm from its equilibrium point. The work (in J) needed<br />

to stretch the spring 30 cm is:<br />

(a) 4 (b) 9 (c) 16 (d) 25<br />

3. A block is pushed for 2 m on a rough surface by a force<br />

F =20 N. If the block moves with a constant speed, then<br />

the work done (in J) by friction is:<br />

(a) -20 (b) -40 (c) -60 (d) -80<br />

F<br />

2 m<br />

4. A 2 kg block is pulled 2 m up a <strong>37</strong> ◦ smooth incline by a force<br />

F , as in the figure. If the total work done is 30 J, then the<br />

magnitude of the force F (in N) is:<br />

(a) 27 (b) 32 (c) <strong>37</strong> (d) 42<br />

2 m<br />

F<br />

<strong>37</strong> o<br />

5. A 1 kg block slides from rest down the smooth track from<br />

a height of 2 m, and comes to rest after compres<strong>sin</strong>g a<br />

spring a distance x=10 cm. The force constant k (in N/m)<br />

of the spring is:<br />

1 kg<br />

2 m k<br />

(a) 160 (b) 250 (c) 1000 (d) 4000


6. A block leaves a 53 ◦ incline with a speed of v=15 m/s, point<br />

A. The maximum height h max (in m) reached by the block<br />

above A is:<br />

(a) 0.8 (b) 3.2 (c) 7.2 (d) 12.8<br />

v<br />

A<br />

53 o<br />

h max<br />

7. A block slides down a smooth curved track and then up<br />

a rough <strong>37</strong> ◦ incline with µ k =0.2, as in the figure. If the<br />

block slides down from rest from a height h 0 =1.5 m,<br />

then the maximum height h max (in m) reached by the<br />

block on the rough incline is:<br />

h o<br />

<strong>37</strong> o<br />

h max<br />

(a) 0.39 (b) 0.79 (c) 1.18 (d) 1.58<br />

8. A 100 kg roller coaster car rolls from rest at point A. If<br />

the car speed at point B is 11 m/s, then the work (in<br />

J) done by friction is:<br />

(a) -1550 (b) -2800 (c) -3950 (d) -5000<br />

30 m<br />

A<br />

B<br />

r=10 m<br />

9. A 10 g bullet is fired with a speed v=240 m/s at a resting<br />

2 kg wood block. If the bullet exits the block at half its<br />

original speed, then the block speed V (in m/s) after the<br />

collision is:<br />

v V v / 2<br />

(a) 0.3 (b) 0.4 (c) 0.5 (d) 0.6<br />

10. A 1500 kg car moving with a speed v i =15 m/s, collides with a wall<br />

and rebounds with a speed v f =3 m/s. If the collision lasts 0.2 s,<br />

then the magnitude of average force (in N) exerted on the car by<br />

the wall is:<br />

(a) 54000 (b) 67500 (c) 90000 (d) 135000<br />

v i<br />

v f<br />

11. Two identical balls each with a speed of 20 m/s collided, as<br />

shown in the figure. After the collision, one of the ball had a<br />

speed v ′ 1=10 m/s in the shown direction. The speed v ′ 2 (in m/s)<br />

of the other ball is:<br />

(a) 18.4 (b) 20.4 (c) 22.4 (d) 24.3<br />

v 1<br />

20 m/s<br />

v 2<br />

20 m/s<br />

v’ 1 =10 m/s<br />

<strong>37</strong> o<br />

v’ = 2 ?<br />

12. A block with mass 2m moving with a speed v collides<br />

with and stick to a stationary block of mass m. After<br />

the collision the two blocks move a maximum vertical<br />

height h max =0.4 m up the smooth track. The initial<br />

speed of the block, v, in m/s is:<br />

m 2 v<br />

m<br />

h max<br />

(a) 3.0 (b) 4.2 (c) 5.2 (d) 6.0

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