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15. Two point charges, labeled "A" and "B" are P (0,7 m) located on the x-axis. “A" has a charge of -3µC, and "B" has a charge of +3µC. A(-2 m. 0) -3 µC B (2 m, 0) +3 μC (a) What is the electric field at point P due to charges "A" and "B"? (b) If a proton was placed at point P, what would be the magnitude and direction of the force exerted on the given particle?

15. Two point charges, labeled "A" and "B" are P (0,7 m) located on the x-axis. “A" has a charge of -3µC, and "B" has a charge of +3µC. A(-2 m. 0) -3 µC B (2 m, 0) +3 μC (a) What is the electric field at point P due to charges "A" and "B"? (b) If a proton was placed at point P, what would be the magnitude and direction of the force exerted on the given particle?

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proton • neutron 15. Two point charges, labeled "A" and "B" are located on the x-axis. "A" has a charge of -3µC, P (0, 7 m) and "B" has a charge of +3µC. A(-2 m, 0) -3 μC B (2 m, 0) +3 μα (a) What is the electric field at point P due to charges "A" and "B"? (b) If a proton was placed at point P, what would be the magnitude and direction of the force exerted on the given particle? 16. Two protons are separated by a distance of 3.8 x 101" m. Find the magnitude of the electric force one proton exerts on the other. Is this force attractive or repulsive? 17. Two small conducting and identical spheres A and B have charges -20 nC and +15 nC, respectively. They are separated by a distance of 0.05 m. (a) What is the magnitude of the electric force between the two spheres? Is it attractive or repulsive? (b) What is the magnitude of the force between the spheres when they are allowed to touch each other and then separated? Is the force attractive or repulsive? 18. Particles A and B are released from rest, having equal charges of -5 x 10 C and initially separated from each other by 0.075 m. The masses of particles A and B are 4.35 x 10° kg and 9.23 x 10* kg, respectively. Find the (a) magnitude of the electric force and (b) initial accelerations of each particles. 19. Three charges are located along the x-axis. Point charge qi = +7.1 x 10* C is at x = 0, point charge q2 = +3.6 x 10 C is at x = 2.0 m and point charge qs = +7.1 x 10" C is at x = 3.0 m. Calculate the resultant force acting on qu. 20. Three identical point charges with charge q = +2.25 x 10“ C are placed at each vertex of an equilateral triangle ABC. If the side of the equilateral triangle is 0.5 m, find the resultant force on the charge at vertex A. 21. Four point charges (two with q = 8.1 x 10“ C and two with q = -7.2 x 10° C) are situated at the corners of a square of side 2.00 m. Find the resultant force that the charge at A will experience due to the charges at the other corners of the square. (q & q: +) (q. & q1 -) 22. Calculate the magnitude and direction of the electric field 0.14 m from a -9.25 x 10°C point charge. 23. An electric dipole consists of two charges q = +3.44 x 10* C and q: = -6.18 x 10C separated by 7.3 x 10° m. Find the electric field halfway between the dipole. 24. Two point charges are arranged on the x-y coordinate system as follows: qi = +3.0 x 10“ C at (0, 4 m) and q = -4.2 x 10* C at (3.6 m, 0). Find the (a) electric field resultant at the origin and (b) angle of the resultant. 25 Tuo Toint chorooe a 5Y 10" Cand 7x 10 ore senarotei ky a distanw of
Transcribed Image Text:proton • neutron 15. Two point charges, labeled "A" and "B" are located on the x-axis. "A" has a charge of -3µC, P (0, 7 m) and "B" has a charge of +3µC. A(-2 m, 0) -3 μC B (2 m, 0) +3 μα (a) What is the electric field at point P due to charges "A" and "B"? (b) If a proton was placed at point P, what would be the magnitude and direction of the force exerted on the given particle? 16. Two protons are separated by a distance of 3.8 x 101" m. Find the magnitude of the electric force one proton exerts on the other. Is this force attractive or repulsive? 17. Two small conducting and identical spheres A and B have charges -20 nC and +15 nC, respectively. They are separated by a distance of 0.05 m. (a) What is the magnitude of the electric force between the two spheres? Is it attractive or repulsive? (b) What is the magnitude of the force between the spheres when they are allowed to touch each other and then separated? Is the force attractive or repulsive? 18. Particles A and B are released from rest, having equal charges of -5 x 10 C and initially separated from each other by 0.075 m. The masses of particles A and B are 4.35 x 10° kg and 9.23 x 10* kg, respectively. Find the (a) magnitude of the electric force and (b) initial accelerations of each particles. 19. Three charges are located along the x-axis. Point charge qi = +7.1 x 10* C is at x = 0, point charge q2 = +3.6 x 10 C is at x = 2.0 m and point charge qs = +7.1 x 10" C is at x = 3.0 m. Calculate the resultant force acting on qu. 20. Three identical point charges with charge q = +2.25 x 10“ C are placed at each vertex of an equilateral triangle ABC. If the side of the equilateral triangle is 0.5 m, find the resultant force on the charge at vertex A. 21. Four point charges (two with q = 8.1 x 10“ C and two with q = -7.2 x 10° C) are situated at the corners of a square of side 2.00 m. Find the resultant force that the charge at A will experience due to the charges at the other corners of the square. (q & q: +) (q. & q1 -) 22. Calculate the magnitude and direction of the electric field 0.14 m from a -9.25 x 10°C point charge. 23. An electric dipole consists of two charges q = +3.44 x 10* C and q: = -6.18 x 10C separated by 7.3 x 10° m. Find the electric field halfway between the dipole. 24. Two point charges are arranged on the x-y coordinate system as follows: qi = +3.0 x 10“ C at (0, 4 m) and q = -4.2 x 10* C at (3.6 m, 0). Find the (a) electric field resultant at the origin and (b) angle of the resultant. 25 Tuo Toint chorooe a 5Y 10" Cand 7x 10 ore senarotei ky a distanw of
respectively. They are separated by a distance of 0.05 m. (a) What is the magnitude of the electric force betguz7h 99+ spheres? Is it attractive or repulsive(bhat is 58) magnitude of the force between the spheres when they are allowed to touch each other and then separated? Is the force attractive or repulsive? 18. Particles A and B are released from rest, having equal charges of -5 x 10° C and initially separated from each other by 0.075 m. The masses of particles A and B are 4.35 x 10° kg and 9.23 x 10 kg, respectively. Find the (a) magnitude of the electric force and (b) initial accelerations of each particles. 19. Three charges are located along the x-axis. Point charge qi = +7.1 x 10* C is at x = 0, point charge q2 = +3.6 x 10 C is at x = 2.0 m and point charge g = +7.1 x 10° C is at x = 3.0 m. Calculate the resultant force acting on q. 20. Three identical point charges with charge q = +2.25 x 10" C are placed at each vertex of an equilateral triangle ABC. If the side of the equilateral triangle is 0.5 m, find the resultant force on the charge at vertex A. 21. Four point charges (two with q = 8.1 x 10“ C and two with q = -7.2 x 10“ C) are situated at the corners of a square of side 2.00 m. Find the resultant force that the charge at A will experience due to the charges at the other corners of the square. (q & q +) (q. & q. -) 22. Calculate the magnitude and direction of the electric field 0.14 m from a -9.25 x 10" C point charge. 23. An electric dipole consists of two charges qı = +3.44 x 10“ C and q = -6.18 x 10°C separated by 7.3 x 10° m. Find the electric field halfway between the dipole. 24. Two point charges are arranged on the x-y coordinate system as follows: q1 = +3.0 x 10“ C at (0, 4 m) and q = -4.2 x 10“ C at (3.6 m, 0). Find the (a) electric field resultant at the origin and (b) angle of the resultant. 25. Two point charges q = 5 x 10° C and q: = 7 x 10° C are separated by a distance of 1 m. Find the neutral point (where total E is 0). Thymine (T) H0.280 nm- 26. The two strands of the helix-shaped DNA molecule are held together by electrostatic forces as shown at right. Assume Adenine (A) H- -0300 nm- that the net average charge (due to electron sharing) indicated on H and N atoms has magnitude 0.2e and on the Ta ch -1.11 nm indicated C and O atoms is 0.4e. Assume also that atoms on each molecule are separated by 1 x 101" m. Estimate the Cytosine (C) net force between (a) a thymine and an adenine; and (b) a -0.290 nm- Guanine () cytosine and a guanine. For each bond (red dots) consider 0.300 nm- N..HN only the three atoms in a line (two atoms on one molecule, one atom on the other). (c) Estimate the total force for a 0.290 nm- DNA molecule containing 10 pairs of such molecules. Assume half are A-T pairs and half are C-G pairs. 1.08 mm To chain To cl
Transcribed Image Text:respectively. They are separated by a distance of 0.05 m. (a) What is the magnitude of the electric force betguz7h 99+ spheres? Is it attractive or repulsive(bhat is 58) magnitude of the force between the spheres when they are allowed to touch each other and then separated? Is the force attractive or repulsive? 18. Particles A and B are released from rest, having equal charges of -5 x 10° C and initially separated from each other by 0.075 m. The masses of particles A and B are 4.35 x 10° kg and 9.23 x 10 kg, respectively. Find the (a) magnitude of the electric force and (b) initial accelerations of each particles. 19. Three charges are located along the x-axis. Point charge qi = +7.1 x 10* C is at x = 0, point charge q2 = +3.6 x 10 C is at x = 2.0 m and point charge g = +7.1 x 10° C is at x = 3.0 m. Calculate the resultant force acting on q. 20. Three identical point charges with charge q = +2.25 x 10" C are placed at each vertex of an equilateral triangle ABC. If the side of the equilateral triangle is 0.5 m, find the resultant force on the charge at vertex A. 21. Four point charges (two with q = 8.1 x 10“ C and two with q = -7.2 x 10“ C) are situated at the corners of a square of side 2.00 m. Find the resultant force that the charge at A will experience due to the charges at the other corners of the square. (q & q +) (q. & q. -) 22. Calculate the magnitude and direction of the electric field 0.14 m from a -9.25 x 10" C point charge. 23. An electric dipole consists of two charges qı = +3.44 x 10“ C and q = -6.18 x 10°C separated by 7.3 x 10° m. Find the electric field halfway between the dipole. 24. Two point charges are arranged on the x-y coordinate system as follows: q1 = +3.0 x 10“ C at (0, 4 m) and q = -4.2 x 10“ C at (3.6 m, 0). Find the (a) electric field resultant at the origin and (b) angle of the resultant. 25. Two point charges q = 5 x 10° C and q: = 7 x 10° C are separated by a distance of 1 m. Find the neutral point (where total E is 0). Thymine (T) H0.280 nm- 26. The two strands of the helix-shaped DNA molecule are held together by electrostatic forces as shown at right. Assume Adenine (A) H- -0300 nm- that the net average charge (due to electron sharing) indicated on H and N atoms has magnitude 0.2e and on the Ta ch -1.11 nm indicated C and O atoms is 0.4e. Assume also that atoms on each molecule are separated by 1 x 101" m. Estimate the Cytosine (C) net force between (a) a thymine and an adenine; and (b) a -0.290 nm- Guanine () cytosine and a guanine. For each bond (red dots) consider 0.300 nm- N..HN only the three atoms in a line (two atoms on one molecule, one atom on the other). (c) Estimate the total force for a 0.290 nm- DNA molecule containing 10 pairs of such molecules. Assume half are A-T pairs and half are C-G pairs. 1.08 mm To chain To cl
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