: 6. Vector A has a magnitude of 5.00 units, and vector B has a

magnitude of 9.00 units. The two vectors make an angle of

50.0° with cach other. Find A B.

Note: In Problems 7 and 8, calculate numerical answers to

three significant figures as usual.

7. Find the scalar product of the vectors in Figure P7.7.

118

32.8 N

132°

17.3 cm

Figure P7.7

8. Using the definition of the scalar product, find the angles

between (a) A = 3i-2j and B = 4i-4j. (b) A= -2i + 4j

and B= 3i- 4j + 2k, and (c) A=i-2j + 2k and B =

3j + 4k.

SECTION 7.4 Work Done by a Varying Force

9. A particle is subject to a force F that varies with position

as shown in Figure P7.9. Find the work done by the force

on the particle as it moves (a) from x = 0 to x = 5.00 m,

(b) from x = 5.00 m to x = 10.0 m, and (c) from x= 10.0 m

to x = 15.0 m. (d) is the total work done by the force

over the distance x= 0 tox= 15.0 m:

7, (N)

X (m)

121

10 12 14 16

Figure P7.9 Problems 9 andl 22.

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