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39 kg of water at 10 C is mixed with 360 kg of ice at -7 C.

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39 kg of water at 10 °C is mixed with 360 kg of ice at -7°C. (The heat capacity of water is 4190 J/(kg·°C), that of ice is

2090 J/(kg·°C), and the heat of fusion of water is 3.34x105 J/kg.

A. 320 J/K B. 310 J/K C. 3.9 J/kg

D. 1.8x10-1 J/K

(3)

375 K a

p

V

b

c 540 K

432 K

250 Kd

A diesel engine operates reversibly on the cycle abcda using 9.0 moles of an ideal gas with an adiabatic

constant γ=1.50. Paths bc and da

are adiabatic. The operating

temperatures of the points a, b, c,

and d are 375 K, 540 K, 432 K and 250 K, respectively. Use this

information to answer questions 6-9.

(4)

Clicker Question

A. B. C. D. E.

When you rub a plastic rod with fur, the plastic rod becomes negatively charged and the fur becomes

positively charged. As a consequence of rubbing the rod with the fur,

the rod and fur both gain mass. the rod and fur both lose mass.

the rod gains mass and the fur loses mass. the rod loses mass and the fur gains mass. none of the above

(5)

Clicker Question

A. B. C. D. E.

When you rub a plastic rod with fur, the plastic rod becomes negatively charged and the fur becomes

positively charged. As a consequence of rubbing the rod with the fur,

the rod and fur both gain mass. the rod and fur both lose mass.

the rod gains mass and the fur loses mass. the rod loses mass and the fur gains mass. none of the above

(6)

A positively-charged piece of plastic exerts an attractive force on an electrically neutral balloon. This is because

A. electrons are less massive than atomic nuclei. B. the electric force between charged particles decreases with increasing distance.

C. an atomic nucleus occupies only a small part of the volume of an atom.

D. a typical atom has many electrons but only one nucleus.

(7)

Clicker Question

Three point charges lie at the

vertices of an equilateral triangle as shown. All three charges have the

same magnitude, but Charges #1 and #2 are positive (+q) and Charge #3 is negative (–q).

The net electric force that Charges #2 and #3 exert on Charge #1 is in

A. the +x-direction. B. the –x-direction. C. the +y-direction. D. the –y-direction. E. none of the above

Charge #1

Charge #2

Charge #3 +q

+q

–q x

(8)

Clicker Question

Three point charges lie at the

vertices of an equilateral triangle as shown. All three charges have the

same magnitude, but Charges #1 and #2 are positive (+q) and Charge #3 is negative (–q).

The net electric force that Charges #2 and #3 exert on Charge #1 is in

A. the +x-direction. B. the –x-direction. C. the +y-direction. D. the –y-direction. E. none of the above

Charge #1

Charge #2

Charge #3 +q

+q

–q x

(9)

Three point charges lie at the

vertices of an equilateral triangle as shown. All three charges have the same magnitude, but Charge #1 is positive (+q) and Charges #2 and #3 are negative (–q).

The net electric force that Charges #2 and #3 exert on Charge #1 is in

A. the +x-direction. B. the –x-direction. C. the +y-direction. D. the –y-direction. E. none of the above

Charge #1

Charge #2

Charge #3 +q

q

q x

(10)

Three point charges lie at the

vertices of an equilateral triangle as shown. All three charges have the same magnitude, but Charge #1 is positive (+q) and Charges #2 and #3 are negative (–q).

The net electric force that Charges #2 and #3 exert on Charge #1 is in

A. the +x-direction. B. the –x-direction. C. the +y-direction. D. the –y-direction. E. none of the above

Charge #1

Charge #2

Charge #3 +q

q

q x

(11)

A positive point charge +Q is released from rest in an electric field. At any later time, the velocity of the point charge

A. is in the direction of the electric field at the position of the point charge.

B. is directly opposite the direction of the electric field at the position of the point charge.

C. is perpendicular to the direction of the electric field at the position of the point charge.

D. is zero.

(12)

A positive point charge +Q is released from rest in an electric field. At any later time, the velocity of the point charge

A. is in the direction of the electric field at the position of the point charge.

B. is directly opposite the direction of the electric field at the position of the point charge.

C. is perpendicular to the direction of the electric field at the position of the point charge.

D. is zero.

(13)

Two point charges and a point P

lie at the vertices of an equilateral triangle as shown. Both point

charges have the same magnitude

q but opposite signs. There is nothing at point P.

The net electric field that Charges #1 and #2 produce at point P is in

Charge #1

Charge #2 –q

+q x

y

P

A. the +x-direction. B. the –x-direction. C. the +y-direction. D. the –y-direction. E. none of the above

(14)

Two point charges and a point P lie at the vertices of an equilateral

triangle as shown. Both point charges have the same negative charge (–q). There is nothing at point P.

The net electric field that Charges #1 and #2 produce at point P is in

A21.7 Charge #1

Charge #2 –q

q x

y

P

A. the +x-direction. B. the –x-direction. C. the +y-direction. D. the –y-direction. E. none of the above

(15)

The illustration shows the electric field lines due to three point

charges. The electric field is strongest

A. where the field lines are closest together.

B. where the field lines are farthest apart.

C. where adjacent field lines are parallel.

D. none of the above A21.8

(16)

A21.9

Positive charge is uniformly

distributed around a semicircle. The electric field that this

charge produces at the center of curvature P is in

A. the +x-direction. B. the –x-direction. C. the +y-direction. D. the –y-direction. E. none of the above

(17)

A21.10

Charge #1

Charge #2

Charge #3 +q

+q

q x

y

A. clockwise.

B. counterclockwise. C. zero.

D. not enough information given to decide Three point charges lie at the

vertices of an equilateral triangle as shown. Charges #2 and #3

make up an electric dipole. The net electric torque that

(18)

A21.11

Charge #1

Charge #2

Charge #3 +q

+q

q x

y

Three point charges lie at the

vertices of an equilateral triangle as shown. Charges #2 and #3

make up an electric dipole.

The net electric force that Charge #1 exerts on the dipole is in

A. the +x-direction. B. the –x-direction. C. the +y-direction. D. the –y-direction. E. none of the above

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