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 tox= 5.00 m, (b) from x = 5.00 m tox= 10.0 m, and (c) from x 10.0 m to x = 15.0 m. (d) What is the total work done by the force over the distance x= 0 to x = m? 7,(N) x (m) 8 10 12 14 16
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 tox= 5.00 m, (b) from x = 5.00 m tox= 10.0 m, and (c) from x 10.0 m to x = 15.0 m. (d) What is the total work done by the force over the distance x= 0 to x = m? 7,(N) x (m) 8 10 12 14 16
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![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) What 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ca4b84d-c518-47ce-bd33-9b129e18b52b%2Fb9853670-22ec-4d2e-96db-a84b25166029%2Fguqr28_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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) What 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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