Physics Final
Point charges +4.00 μC and +2.00 μC are placed at the opposite corners of a rectangle as shown in the figure. What is the potential difference VA - VB? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)
A.-22.5 kV B.+22.5 kV C.0.00 kV D.+203 kV E.-203 kV Answer: A
Three point charges, -2.00 μC, +4.00 μC, and +6.00 μC, are located along the x-axis as shown in the figure. What is the electric potential (relative to infinity) at point P due to these charges? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)
A.-307 kV B.+154 kV C.0.00 kV D.+307 k V E.-154 kV Answer: D
A +5.0-µC point charge is 12 cm from a -5.0-µC point charge. What is the magnitude of the electric field they produce at the point on the line connecting them where their electric potential (relative to infinity) is zero? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.0.75 MN/C B.0 N/C C.12.5 MN/C D.1.5 MN/C E.25 MN/C Answer: E
How much work is required to stretch an ideal spring of spring constant (force constant) 40 N/m from x = 0.20 m to x = 0.25 m if the unstretched position is at x = 0.00 m?
A.0.80 J B.0.050 J C.1.3 J D.0.45 J Answer: D
An ideal spring has a spring constant (force constant) of 2500 N/m. is stretched 4.0 cm. How much work is required to stretch the spring by 4.0 cm?
A.1.0 J B.0.00 J C.4.0 J D.2.0 J E.3.0 J Answer: D
A square is 1.0 m on a side. Point charges of +4.0 μC are placed in two diagonally opposite corners. In the other two corners are placed charges of +3.0 μC and -3.0 μC. What is the potential (relative to infinity) at the midpoint of the square? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.1.0 × 106 V B.0 V C.1.0 × 104 V D.infinite E.1.0 × 105 V Answer: E
Four 2.0-µC point are at the corners of a rectangle with sides of length 3.0 cm and 4.0 cm. What is the electric potential (relative to infinity) at the midpoint of the rectangle? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.1.3 MV B.7.8 MV C.3.5 MV D.2.9 MV Answer: D
A 0.25 kg harmonic oscillator has a total mechanical energy of If the oscillation amplitude is 20 cm what is the oscillation frequency?
A.1.4 Hz B.3.2 Hz C.2.3 Hz D.4.6 Hz Answers: D
A simple harmonic oscillator oscillates with frequency f when its amplitude is A. If the amplitude is now doubled to 2A, what is the new frequency?
A.4f B.f/4 C.f D.f/2 E.2f Answer: C
Electric field lines begin on negative charges and end on positive charges.
False
If one bag contains a charge 8Q and another one contains charge Q, the 8Q-bag exerts 8 times as much force on the Q-bag as the Q-bag exerts on the 8Q-bag.
False
If the electric field strength produced by a point charge is 1000 N/C at 5.0 cm from this charge, the strength will be 25,000 N/C at a point 1.0 cm closer to this charge.
False
The more closely electric field lines are packed together, the stronger the field.
True
Two nuclei each contain two protons and exert a force 4 N on each other. If we transfer a proton from one of these nuclei to the other, the force on each nucleus is now reduced to 3 N.
True
Two unequal point charges q1 and q2 are held in place separated from each other. A point charge Q is placed somewhere between them at a point where it remains stationary when released. From this observation, we can conclude that q1 and q2 must either both be positive or both be negative.
True
If the electric field strength is 500 N/C at a point 2 cm from an infinite line of charge, the field will be 125 N/C at a point 4 cm from this line.
false
If the electric field strength is 900 N/C at a point 5 cm from an infinite plane of charge, its strength will be reduced to 9 N/C at a point 50 cm from the plane.
false
Two identical small charged spheres are a certain distance apart, and each one initially experiences an electrostatic force of magnitude F due to the other. With time, charge gradually diminishes on both spheres by leaking off. When each of the spheres has lost half its initial charge, what will be the magnitude of the electrostatic force on each one?
A.1/2 F B.1/4 F C.1/ F D.1/8 F E.1/16 F Answer: B
Two point charges each experience a 1-N electrostatic force when they are 2 cm apart. If they are moved to a new separation of 8 cm, what is the magnitude of the electric force on each of them?
A.1/4 N B.1/8 N C.2 N D.1/16 N E.1/2 N Answer: D
An object is oscillating on a spring with a period of 4.60 s. At time t = 0.00 s the object has zero speed and is at x = 8.30 cm. What is the acceleration of the object at t = 2.50 s?
A.11.5 cm/s2 B.0.784 cm/s2 C.0.00 cm/s2 D.14.9 cm/s2 E.1.33 cm/s2 Answer: D
An ideal spring with a spring constant (force constant) of is stretched from equilibrium to 2.9 m. How much work is done in the process?
A.121 J B.186 J C.93 J D.47 J Answer: C
A 4.8-kg block attached to an ideal spring executes simple harmonic motion on a frictionless horizontal surface. At time t = 0.00 s, the block has a displacement of -0.9 m and velocity of -0.8 m/s and acceleration of 2.9 m/s/s. The force constant (spring constant) of the spring is closest to
A.15 N/m. B.12 N/m. C.14 N/m. D.11 N/m. E.13 N/m. Answers: A
If a spring-operated gun can shoot a pellet to a maximum height of 100 m on Earth, how high could the pellet rise if fired on the Moon, where g = 1.6 m/s2?
A.160 m B.610 m C.3.6 km D.100 m E.17 m Answer: B
A 6.9 μC negative point charge has a positively charged particle in an elliptical orbit about it. If the mass of the positively charged particle is and its distance from the point charge varies from 4mm to 16mm, what is the maximum potential difference through which the positive object moves? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.19 MV B.12 MV C.3.9 MV D.-5.2 MV Answer: B
If the amplitude of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum speed of the oscillator change?
A.2 B.4 C.It does not change. D.1/2 E.1/4 Answers: A
As shown in the figure, three charges are at the vertices of an equilateral triangle. The charge Q is 6.7 nC, and all the other quantities are accurate to two significant figures. What is the magnitude of the net electric force on the charge Q due to the other two charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.2.1 × 10-3 N B.1.4 × 10-3 N C.1.2 × 10-3 N D.1.0 × 10-3 N Answer: A
The position of an object that is oscillating on a spring is given by the equation x = (17.4 cm) cos[(5.46 s-1)t]. What is the angular frequency for this motion?
A.2.34 rad/s B.5.46 rad/s C.0.869 rad/s D.0.183 rad/s E.17.4 rad/s Answer: B
Assuming negligible friction, what spring constant (force constant) would be needed by the spring in a "B-B gun" to fire a 10-g pellet to a height of 100 m if the spring is initially compressed by 0.10 m?
A.2000 N/cm B.200 N/m C.20 N/m D.0.0020 N/m E.20 N/cm Answer: E
Two simple pendulums, A and B, are each 3.0 m long, and the period of pendulum A is T. Pendulum A is twice as heavy as pendulum B. What is the period of pendulum B?
A.2T B.T/ C.T D.T E.T/2 Answer: D
If 4.0 J of work are performed in stretching an ideal spring with a spring constant (force constant) of 2500 N/m, by what distance is the spring stretched?
A.3.2 cm B.3.2 m C.5.7 m D.0.3 cm E.5.7 cm Answer: E
A simple pendulum takes 2.00 s to make one compete swing. If we now triple the length, how long will it take for one complete swing?
A.3.46 s B.0.667 s C.6.00 s D.1.15 s E.2.00 s Answer: A
A +5.0-nC charge is at the point (0.00 m, 0.00 m) and a -2.0-nC charge is at (3.0 m, 0.00 m). What work is required to bring a 1.0-nC charge from very far away to point (0.00 m, 4.0 m)? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.3.6 nJ B.7.7 nJ C.15 nJ D.11 nJ Answer: B
An object undergoing simple harmonic motion has a maximum displacement of at t=0 secs. If the angular frequency of oscillation is 1.6 rad/secs, what is the object's displacement when t=3.5 seconds?
A.3.7 m B.5.6 m C.3.1 m D.4.8 m Answer: C
As shown in the figure, the charge Q is midway between two other charges. If what must be the charge q1 so that charge q2 remains stationary as Q and q1 are held in place?
A.30 nC B.7.5 nC C.15 nC D.60 nC Answer: A
Four +6.00-µC point charges are at the corners of a square 2.00 m on each side. What is the electric potential of these charges, relative to infinity, at the center of this square? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)
A.306 kV B.153 kV C.38.2 kV D.61.0 kV E.76.4 kV Answer: B
Four point charges of magnitude 6.00 μC and are at the corners of a square 2.00 m on each side. Two of the charges are positive, and two are negative. What is the electric potential at the center of this square, relative to infinity, due to these charges? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)
A.306 kV B.76.4 kV C.153 kV D.0 V E.61.0 kV Answer: D
If the work done to stretch an ideal spring by 4.0 cm is 6.0 J, what is the spring constant (force constant) of this spring?
A.3500 N/m B.6000 N/m C.3000 N/m D.7500 N/m E.300 N/m Answer: D
It takes 87 J of work to stretch an ideal spring from 1.4 m to 2.9 m from equilibrium. What is the value of the spring constant (force constant) of this spring?
A.39 N/m B.52 N/m C.77 N/m D.27 N/m Answer: D
An object is undergoing simple harmonic motion of amplitude 2.3 m. If the maximum velocity of the object is 10 m/s, what is the object's angular frequency?
A.4.0 rad/s B.3.5 rad/s C.4.3 rad/s D.4.8 rad/s Answer: C
A +5.00-μC point charge is placed at the 0.0 cm mark of a meter stick and a -4.00-μC point charge is placed at the 50.0 cm mark. At what point on a line through the ends of the meter stick is the electric field equal to zero?
A.4.7 m from the 0 cm mark B.2.5 m from the 0 cm mark C.3.3 m from the 0 cm mark D.1.4 m from the 0 cm mark E.2.9 m from the 0 cm mark Answer: A
The figure shows two tiny 5.0-g spheres suspended from very light 1.0-m-long threads. The spheres repel each other after each one is given the same positive charge and hang at rest when θ = 4.1°. What is the charge on each sphere? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.45 nC B.22 nC C.180 nC D.360 nC E.89 nC Answer: E
If your heart is beating at 76.0 beats per minute, what is the frequency of your heart's oscillations in hertz?
A.4560 Hz B.2.54 Hz C.1.27 Hz D.1450 Hz E.3.98 Hz Answers: C
A small charged plastic ball is vertically above another charged small ball in a frictionless test tube as shown in the figure. The balls are in equilibrium a distance d apart. If the charge on each ball is doubled, the equilibrium distance between the balls in the test tube would become
A.4d. B.8d. C.d/4. D.d. E.2d. Answer: E
As shown in the figure, three charges are at corners of a rectangle. The charge in the bottom right corner is Q = - 90 nC, and all the other quantities are accurate to two significant figures. What is the magnitude of the net electrical force on Q due to the other two charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.5.3 × 10-2 N B.7.1 × 10-2 N C.3.8 × 10-2 N D.2.8 × 10-2 N Answer: C
Two very small +3.00-μC charges are at the ends of a meter stick. Find the electric potential (relative to infinity) at the center of the meter stick. (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)
A.5.40 × 104 V B.2.70 × 104 V C.1.08 × 105 V D.0.00 V Answer: C
Two point charges of +2.00 μC and +4.00 μC are at the origin and at the point x = 0.000 m, y = -0.300 m, as shown in the figure. What is the electric potential due to these charges, relative to infinity, at the point P at x = 0.400 m on the x-axis? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)
A.56.0 kV B.117 kV C.15.7 kV D.11.7 kV E.36.0 kV Answer: B
A battery maintains the electrical potential difference of 6.0-V between two large parallel metal plates separated by 1.0 mm. What is the strength of the electric field between the plates?
A.6.0 V/m B.6000 V/m C.zero D.600 V/m Answer: B
An ideal spring has a spring constant (force constant) of 60 N/m. How much energy does it store when it is stretched by 1.0 cm?
A.60 J B.0.0030 J C.600 J D.0.30 J Answer: B
The three point charges shown in the figure form an equilateral triangle with sides 4.9 cm long. What is the electric potential (relative to infinity) at the point indicated with the dot, which is equidistant from all three charges? Assume that the numbers in the figure are all accurate to two significant figures. (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.640 V B.1900 V C.1300 V D.0.00 V Answer: D
The position of an air-track cart that is oscillating on a spring is given by the equation x = (12.4 cm) cos[(6.35 s-1)t]. At what value of t after t = 0.00 s is the cart first located at x = 8.47 cm?
A.7.39 s B.0.129 s C.4.34 s D.0.108 s E.7.75 s Answer: B
Point charges +4.00 μC and +2.00 μC are placed at the opposite corners of a rectangle as shown in the figure. What is the potential at point A, relative to infinity, due to these charges? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)
A.89.9 kV B.8990 kV C.8.99 kV D.899 kV E.0.899 kV Answer: A
Point charges +4.00 μC and +2.00 μC are placed at the opposite corners of a rectangle as shown in the figure. What is the potential at point B due to these charges? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)
A.899 kV B.8.99 kV C.11.2 kV D.112 kV E.89.9 kV Answer: D
Two 3.0 μC charges lie on the x-axis, one at the origin and the other at What is the potential (relative to infinity) due to these charges at a point a 6m on the x-axis? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.9000 V B.3400 V C.14,000 V D.11,000 V Answer: D
An ideal spring stretches by 21.0 cm when a 135-N object is hung from it. If instead you hang a fish from this spring, what is the weight of a fish that would stretch the spring by 31cm
A.91 N B.199 N C.145 N D.279 N Answer: B
A +4.0-μC and a -4.0-μC point charge are placed as shown in the figure. What is the potential difference between points A and B? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.96 V B.0 V C.96 kV D.48 V E.48 kV Answer: C
Four point charges of equal magnitude but with varying signs are arranged on three of the corners and at the center of the square of side d as shown in the figure. Which one of the arrows shown represents the net force acting on the center charge?
A.A B.B C.C D.D Answer: A
Four point charges of equal magnitudes but with varying signs are arranged on three of the corners and at the center of the square of side d as shown in the figure. Which one of the arrows shown represents the net force acting on the center charge?
A.A B.B C.C D.D Answer: A
Four point charges of varying magnitude and sign are arranged on the corners of the square of side d as shown in the figure. Which one of the arrows shown represents the net force acting on the point charge with a charge +Q?
A.A B.B C.C D.D Answer: A
Three equal positive point charges +q are placed at the corners of a square of side d as shown in the figure. Which one of the arrows shown represents the direction of the net electric field at the center of the square?
A.A B.B C.C D.D Answer: A
Three equal-magnitude point charges of varying signs are placed at the corners of a square of side d as shown in the figure. Which one of the arrows shown represents the direction of the net electric field at the center of the square?
A.A B.B C.C D.D Answer: A
Three equal negative point charges -q are placed at three of the corners of a square of side d as shown in the figure. Which one of the arrows shown represents the direction of the net electric field at the vacant corner of the square?
A.A B.B C.C D.D Answer: B
Three equal-magnitude point charges of varying signs are placed at three of the corners of a square of side d as shown in the figure. Which one of the arrows shown represents the direction of the net electric field at the vacant corner of the square?
A.A B.B C.C D.D Answer: B
Three equal negative point charges -q are placed at three of the corners of a square of side d as shown in the figure. Which one of the arrows shown represents the direction of the net electric field at the center of the square?
A.A B.B C.C D.D Answer: C
A ball swinging at the end of a massless string, as shown in the figure, undergoes simple harmonic motion. At what point (or points) is the magnitude of the instantaneous acceleration of the ball the greatest?
A.A and C B.A and D C.A and B D.C E.B Answer: B
A heavy dart and a light dart are launched vertically by identical ideal springs. Both springs were initially compressed by the same amount. There is no significant air resistance. Which of the following statements about these darts are correct? (There could be more than one correct choice.)
A.Both darts reach the same maximum height. B.At the maximum height, both darts have the same gravitational potential energy. C.The light dart goes higher than the heavy dart. D.Both darts began moving upward with the same initial speed. E.The heavy dart goes higher than the light dart. Answer: B, C
The graphs shown show the magnitude F of the force exerted by a spring as a function of the distance x the spring has been stretched. For which one of the graphs does the spring obey Hooke's law?
A.Graph a B.Graph b C.Graph c D.Graph d E.Graph e Answer: B
Two point charges, Q1 and Q2, are separated by a distance R. If the magnitudes of both charges are doubled and their separation is also doubled, what happens to the electrical force that each charge exerts on the other one?
A.It remains the same. B.It is reduced by a factor of . C.It increases by a factor of 2. D.It increases by a factor of . E.It increases by a factor of 4. Answer: A
A mass on a spring undergoes SHM. When the mass passes through the equilibrium position, which of the following statements about it are true? (There could be more than one correct choice.)
A.Its total mechanical energy is zero. B.Its elastic potential energy is zero. C.Its acceleration is zero. D.Its speed is zero. E.Its kinetic energy is a maximum. Answer: B,C,E
If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? (There could be more than one correct choice.)
A.The angular frequency is doubled. B.The angular frequency is reduced to one-half of what it was. C.The amplitude is doubled. D.The period is reduced to one-half of what it was. E.The period is doubled. Answer: A, D
Two tiny beads are 25 cm apart with no other charges or fields present. Bead A carries 10 µC of charge and bead B carries 1 µC. Which one of the following statements is true about the magnitudes of the electric forces on these beads?
A.The force on B is 100 times the force on A. B.The force on B is 10 times the force on A. C.The force on A is 100 times the force on B. D.The force on A is 10 times the force on B. E.The force on A is exactly equal to the force on B. Answer: E
A heavy dart and a light dart are launched horizontally on a frictionless table by identical ideal springs. Both springs were initially compressed by the same amount. Which of the following statements about these darts are correct? (There could be more than one correct choice.)
A.The lighter dart leaves the spring moving faster than the heavy dart. B.Both darts had the same initial elastic potential energy. C.Both darts move free of the spring with the same speed. D.The heavy dart had more initial elastic potential energy than the light dart. E.The darts both have the same kinetic energy just as they move free of the spring. Answer: A, B, E
The figure shows two unequal charges, +q and -Q. Charge -Q has greater magnitude than charge +q. Point X is midway between the charges. In what section of the line will there be a point where the resultant electric field is zero?
A.VW B.WX C.XY D.YZ Answer: A
The total mechanical energy of a simple harmonic oscillating system is
A.a minimum when it passes through the equilibrium point. B.a maximum when it passes through the equilibrium point. C.a non-zero constant. D.zero when it reaches the maximum displacement. E.zero as it passes the equilibrium point. Answer: C
Which one of the following is not an electromagnetic wave?
A.gamma rays B.ultraviolet C.sound waves D.infrared E.radio waves Answer: C
The figure shows a graph of the position x as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the velocity of this system as a function of time?
A.graph a B.graph b C.graph c D.graph d Answer: B
The figure shows a graph of the velocity v as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the acceleration of this system as a function of time?
A.graph a B.graph b C.graph c D.graph d Answer: B
The figure shows a graph of the position x as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the acceleration of this system as a function of time?
A.graph a B.graph b C.graph c D.graph d Answer: Graph A
Which one of the following lists gives the correct order of the electromagnetic spectrum from low to high frequencies?
A.radio waves, infrared, microwaves, ultraviolet, visible, x-rays, gamma rays B.radio waves, microwaves, visible, x-rays, infrared, ultraviolet, gamma rays C.radio waves, infrared, x-rays, microwaves, ultraviolet, visible, gamma rays D.radio waves, microwaves, infrared, visible, ultraviolet, x-rays, gamma rays E.radio waves, ultraviolet, x-rays, microwaves, infrared, visible, gamma rays Answer: D
The electric field at point P due to a point charge Q a distance R away from P has magnitude E. In order to double the magnitude of the field at P, you could
A.reduce the distance to R/4. B.reduce the distance to R/2. C.double the distance to 2R. D.double the charge to 2Q. E.double the charge to 2Q and at the same time reduce the distance to R/2. Answer: D
An electron is initially moving to the right when it enters a uniform electric field directed upwards, as shown in the figure. Which trajectory (X, Y, Z, or W) will the electron follow in the field?
A.trajectory W B.trajectory X C.trajectory Y D.trajectory Z Answer D
Four tiny charged particles (two having a charge +Q and two having a charge -Q) are distributed on the x- and y-axes as shown in the figure. Each charge is equidistant from the origin. In which direction is the net electric field at the point P on the y-axis?
A.upwards and towards the right B.upwards and towards the left C.directly left (-x direction) D.directly up (in the +y direction) E.The net field is zero, so there is no direction. Answer: B
In simple harmonic motion, when is the speed the greatest? (There could be more than one correct choice.)
A.when the magnitude of the acceleration is a maximum B.when the displacement is a maximum C.when the potential energy is a zero D.when the magnitude of the acceleration is a minimum E.when the potential energy is a maximum Answer: B, D
An air-track cart is attached to a spring and completes one oscillation every 5.67 s in simple harmonic motion. At time t = 0.00 s the cart is released at the position x = +0.250 m. What is the position of the cart when t = 29.6 s?
A.x = 0.342 m B.x = 0.0461 m C.x = 0.210 m D.x = -0.218 m E.x = 0.218 m Answer: A
A sphere with radius of 2.0 mm carries a charge. What is the potential difference, VB-VA between point B, which is 4m from the center of the sphere, and point A, which is 6m from the center of the sphere? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.-1500 V B.-0.63 V C.170 V D.1500 V Answer: D
Two +6.0-µC charges are placed at two of the vertices of an equilateral triangle having sides 2.0 m long. What is the electric potential at the third vertex, relative to infinity, due to these charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.0 V B.54 kV C.90 kV D.108 V E.27 kV Answer: B
A 10-kg mass, hung by an ideal spring, causes the spring to stretch 2.0 cm. What is the spring constant (force constant) for this spring?
A.0.0020 N/cm B.5.0 N/cm C.0.20 N/cm D.49 N/cm E.20 N/m Answer: D.
An ideal spring with a force constant (spring constant) of 15 N/m is initially compressed by 3.0 cm from its uncompressed position. How much work is required to compress the spring an additional 4.0 cm?
A.0.012 J B.0.030 J C.0.0068 J D.0.024 J Answer: B
A 0.250-kg stone is attached to an ideal spring and undergoes simple harmonic oscillations with a period of 0.640 s. What is the force constant (spring constant) of the spring?
A.0.102 N/m B.2.45 N/m C.0.610 N/m D.24.1 N/m E.12.1 N/m Answers: D
An object attached to an ideal spring oscillates with an angular frequency of 2.81 rad/s. The object has a maximum displacement at t = 0.00 s of 0.232 m. If the force constant (spring constant) is 29.8 what is the potential energy stored in the mass-spring system when t = 1.42 s?
A.0.256 J B.0.399 J C.0.329 J D.0.350 J Answers: D
A 2.0-kg block on a frictionless table is connected to two springs whose opposite ends are fixed to walls, as shown in the figure. The springs have force constants (spring constants) k1 and k2. What is the oscillation angular frequency of the block if k1= 7.6n/m and k2=5 N/m.
A.0.40 rad/s B.3.5 rad/s C.2.5 rad/s D.0.56 rad/s Answer: C
A 0.150-kg air track cart is attached to an ideal spring with a force constant (spring constant) of 3.58 N/m and undergoes simple harmonic oscillations. What is the period of the oscillations?
A.0.527 s B.1.29 s C.2.57 s D.1.14 s E.0.263 s Answer: B
A package is oscillating on a spring scale with a period of 4.60 s. At time t = 0.00 s the package has zero speed and is at x = 8.30 cm. At what time after t = 0.00 s will the package first be at x = 4.15 cm?
A.1.30 s B.0.767 s C.1.15 s D.1.53 s E.0.575 s Answer: B
When a 0.350-kg package is attached to a vertical spring and lowered slowly, the spring stretches 12.0 cm. The package is now displaced from its equilibrium position and undergoes simple harmonic oscillations when released. What is the period of the oscillations?
A.1.44 s B.0.286 s C.0.0769 s D.0.695 s E.0.483 s Answers: D
Two 5.0-µC point charges are 12 cm apart. What is the electric potential (relative to infinity) of this combination at the point where the electric field due to these charges is zero? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.1.5 MV B.0.75 MV C.0.0 MV D.12.5 MV E.25 MV Answer: A
What is the magnitude of a the vertical electric field that will balance the weight of a plastic sphere of mass that has been charged to -3.0 nC? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
A.1.5 × 106 N/C B.6.9 × 106 N/C C.7.8 × 105 N/C D.2.1 × 106 N/C Answer: B
A leaky faucet drips 40 times in What is the frequency of the dripping?
A.1.6 Hz B.1.3 Hz C.0.63 Hz D.0.75 Hz Answer: B
An astronaut has landed on Planet N-40 and conducts an experiment to determine the acceleration due to gravity on that planet. She uses a simple pendulum that is 0.640 m long and measures that 10 complete oscillations 26.0 s. What is the acceleration of gravity on Planet N-40?
A.1.66 m/s2 B.2.39 m/s2 C.4.85 m/s2 D.3.74 m/s2 E.9.81 m/s2 Answer: D
A 3.7-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant) is The block is pulled from its equilibrium position at x = 0.000 m to a position x = +0.080 m and is released from rest. The block then executes simple harmonic motion along the horizontal x-axis. The maximum elastic potential energy of the system is closest to
A.1.7 J. B.1.8 J. C.1.4 J. D.1.6 J. E.1.3 J. Answers: C
The picture above shows the electric field produced by a configuration of hidden charges. The arrows represent the direction of the electric field, and the color represents the intensity of the field-Black (Strongest), Red, Green, Blue (Weakest). Which charge configuration shown below would produce the above electric field? Red represents a charge of +Q and blue represents a charge of -Q.
a. A b. B c. C d. D e. E Answer: E
The picture above shows the electric field produced by a configuration of hidden charges. The arrows represent the direction of the electric field, and the color represents the intensity of the field-Black (Strongest), Red, Green, Blue (Weakest). Which charge configuration shown below would produce the above electric field? Red represents a charge of +Q and blue represents a charge of -Q.
a. A b. B c. C d. D e. E Answer: A
