1. Point charges q 1 q 2 both of 22 nC are separated by a distance of 58 cm along a horizontal axis. Point a is located 40 cm fr
om and cm from q 1 q 2 . What is the magnitude and direction of the electric field at point a?
A)1900 N/C, directed toward q2
B)4900N / C , directed toward q1
C)7300 N/ C, directed toward q1
D)1900N / C , directed toward q 1
2. The diagram shows an electric field generated by two oppositely-charged flat plates. Where is the electric field uniform?
A)Near the ends of each plate
B)At distances about 1 m or greater from either plate
C)throughout the region shown in the diagram
D)between the two plates
3. Object A has a charge of + q . If it were replaced with an object that has a charge of -q, how would the electric field at point P be affected?
A)The magnitude would decrease, while the direction stays the same.
B)The magnitude would increase, while the direction stays the same.
C)The direction would reverse, while the magnitude stays the same.
D)The direction would rotate clockwise by 90 degrees , while the magnitude stays the same
4. As shown in the diagram, points P and R form a straight line with point charge q. Point P is located 25 cm from q, and point R is located 75 cm from q. Let E p equal the magnitude of the electric field at point P. What is the magnitude of the electric field at point R?
A)Ep/3
B)Ep/9
C)Ep/50
D)Ep/25
5. Points P and R are equidistant to charged object A, and they are positioned on opposite sides of (point) the object. Compared to the electric field at point P theelectric field at point R is
A)equal in magnitude and direction
B)equal in magnitude, perpendicular in direction
C)smaller in magnitude, equal in direction
D)equal in magnitude, opposite in direction
6. Point P is located 1.7 m from fixed point charge The electric field vec E at point P is 8.6 * 10 ^ (- 2) N/C, directed away from the point charge. What is the magnitude of q? Let the electrostatic constant k=8.99*10^ 9 N* m^ 2 / C^ 2
A)2.8 x 10^-11 C
B)4.8 x 10^-11 C
C)-4.8 x 10-11 C
D)1.5 x 10 ^-10 C
7. Point P is located 58 cm to the right of a fixed point charge of 6.7*10^ -16 C. What is the direction and magnitude of the electric field at point P due to this charge? Let the electrostat constant k = 8.99 * 10 ^ 9 * N * m ^ 2 / (C ^ 2)
8.8 * 10 ^ (- 5) * N/C, to the right
2.4 * 10 ^ (- 6) * N/C , to the left
1.2*10^ (-5) * N/C, to the left
1.8*10^ (-5) N/C, to the right
8. A Van de Graaff generator causes a total charge q to build up on a metal sphere of radius Which variable does not affect the electric field at a distance R from the center of the metal sphere? Assume R> r
A)the distance R from the center of the metal sphere
B)the magnitude of the charge q
C)the radius r of the metal sphere
D)the sign of the charge q
9. A scientist fixes a test charge q’ to point P and then measures the electrostatic force it experiences there. She then calculates the magnitude of the electric field by applying the equation vec E = vecF^prime/vec q^prime. Which change to her procedure would vary the value of vec E that she calculates?
A)keep the test charge in the same location, but alter its charge from q^prime to -q^1.
B)keep the charge on the test charge the same, but move the test charge to a different position farther away.
C)keep the test charge in the same location, but after its charge from q^prime to 2q^prime
10. q 1 q 2 Point charge of 30 nC is separated by 50 cm from point charge q2 of -45nC. As shown in the diagram, point a is located 30 cm from q1 and 20 cm from q2. What are the magnitude and direction of the electric field at point a? Let the electrostatic constant k = 8.99 * 10 ^ 9 * N m ^ 2 / (C ^ 2)
A)7000 N/C, directed to q2
B)13,000 N/C, directed to q1
C)13,000 N/C, directed to q2
D)7000 N/C, directed to q1
A)1900 N/C, directed toward q2
B)4900N / C , directed toward q1
C)7300 N/ C, directed toward q1
D)1900N / C , directed toward q 1
2. The diagram shows an electric field generated by two oppositely-charged flat plates. Where is the electric field uniform?
A)Near the ends of each plate
B)At distances about 1 m or greater from either plate
C)throughout the region shown in the diagram
D)between the two plates
3. Object A has a charge of + q . If it were replaced with an object that has a charge of -q, how would the electric field at point P be affected?
A)The magnitude would decrease, while the direction stays the same.
B)The magnitude would increase, while the direction stays the same.
C)The direction would reverse, while the magnitude stays the same.
D)The direction would rotate clockwise by 90 degrees , while the magnitude stays the same
4. As shown in the diagram, points P and R form a straight line with point charge q. Point P is located 25 cm from q, and point R is located 75 cm from q. Let E p equal the magnitude of the electric field at point P. What is the magnitude of the electric field at point R?
A)Ep/3
B)Ep/9
C)Ep/50
D)Ep/25
5. Points P and R are equidistant to charged object A, and they are positioned on opposite sides of (point) the object. Compared to the electric field at point P theelectric field at point R is
A)equal in magnitude and direction
B)equal in magnitude, perpendicular in direction
C)smaller in magnitude, equal in direction
D)equal in magnitude, opposite in direction
6. Point P is located 1.7 m from fixed point charge The electric field vec E at point P is 8.6 * 10 ^ (- 2) N/C, directed away from the point charge. What is the magnitude of q? Let the electrostatic constant k=8.99*10^ 9 N* m^ 2 / C^ 2
A)2.8 x 10^-11 C
B)4.8 x 10^-11 C
C)-4.8 x 10-11 C
D)1.5 x 10 ^-10 C
7. Point P is located 58 cm to the right of a fixed point charge of 6.7*10^ -16 C. What is the direction and magnitude of the electric field at point P due to this charge? Let the electrostat constant k = 8.99 * 10 ^ 9 * N * m ^ 2 / (C ^ 2)
8.8 * 10 ^ (- 5) * N/C, to the right
2.4 * 10 ^ (- 6) * N/C , to the left
1.2*10^ (-5) * N/C, to the left
1.8*10^ (-5) N/C, to the right
8. A Van de Graaff generator causes a total charge q to build up on a metal sphere of radius Which variable does not affect the electric field at a distance R from the center of the metal sphere? Assume R> r
A)the distance R from the center of the metal sphere
B)the magnitude of the charge q
C)the radius r of the metal sphere
D)the sign of the charge q
9. A scientist fixes a test charge q’ to point P and then measures the electrostatic force it experiences there. She then calculates the magnitude of the electric field by applying the equation vec E = vecF^prime/vec q^prime. Which change to her procedure would vary the value of vec E that she calculates?
A)keep the test charge in the same location, but alter its charge from q^prime to -q^1.
B)keep the charge on the test charge the same, but move the test charge to a different position farther away.
C)keep the test charge in the same location, but after its charge from q^prime to 2q^prime
10. q 1 q 2 Point charge of 30 nC is separated by 50 cm from point charge q2 of -45nC. As shown in the diagram, point a is located 30 cm from q1 and 20 cm from q2. What are the magnitude and direction of the electric field at point a? Let the electrostatic constant k = 8.99 * 10 ^ 9 * N m ^ 2 / (C ^ 2)
A)7000 N/C, directed to q2
B)13,000 N/C, directed to q1
C)13,000 N/C, directed to q2
D)7000 N/C, directed to q1
1 answer:
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Answer:
<em>The correct option is 1. 720 m</em>
Explanation:
<u>Projectile Motion</u>
When an object is launched in free air (no friction) with an initial speed vo at an angle , it describes a curve which has two components: one in the horizontal direction and the other in the vertical direction. The data provided gives us the initial conditions of the survival package's launch.
The initial velocity has these components in the x and y coordinates respectively:
And we know the plane has an altitude of 600 m, so the package will reach ground level when:
The vertical distance traveled is given by:
We'll set up an equation to find the time when the package lands
Solving for t, we find only one positive solution:
The horizontal distance is:
The correct option is 1. 720 m