Which correctly describes electric potential, electric field, and electric (or electrostatic) force? The potential, the field, and the force are vector quantities. The potential, the field, and the force are scalar quantities. The potential and the field are scalar quantities, and the force is a vector quantity. The potential and the force are vector quantities and the field is a scalar quantity. The potential is a scalar quantity, and the field and the force are vector quantities. The potential and the force are scalar quantities, and the field is a vector quantity.
If we move a positively charged particle through an electric field, in which situation do we decrease the electric potential energy of the particle? We move the particle in the direction of the electric field. We move the particle in the direction opposite that of the electric field. We move the particle perpendicularly to the direction of the electric field.
Which describes the electric potential and the electric field at a point due to a positively charged particle? The potential is a positive number; the field is a vector pointing toward the particle. The potential is a positive number; the field is a vector pointing away from the particle. The potential is a negative number; the field is a vector pointing toward the particle. The potential is a negative number; the field is a vector pointing away from the particle.
If we place a nonpolar molecule in an electric field, which is true? The field induces a dipole moment, with the moment vector aligned with the field vector. The field induces a dipole moment, with the moment vector aligned opposite the field vector. The field induces a dipole moment, with the moment vector perpendicular to the field vector.
When we derive an expression for the electric potential on the central axis of a positively charged disk, which is true? We add the vector components that are parallel to the axis. We add the vector components that are perpendicular to the axis. We add the scalar contributions.
How is the capacitance of a capacitor related to the charge stored on the capacitor and the potential difference across the capacitor? Capacitance is the ratio of the charge to the potential difference. Capacitance is the product of the potential difference and the charge. Capacitance is the ratio of the potential difference to the charge.
How can we increase the capacitance of a parallel-plate capacitor? increase the plate area and the plate separation decrease the plate area and the plate separation increase the plate area or decrease the plate separation decrease the plate area or increase the plate separation
Which is true about capacitors in parallel? They have the same charge. They have the same potential difference. They have the same charge and potential difference.
If we were to gradually charge a capacitor by transferring charge from one plate to the other, which describes the action of the electric field between the plates? It assists our transfer of charge. It resists our transfer of charge. It has no effect on our transfer of charge.
A nonpolar dielectric slab is inserted into a parallel-plate capacitor. How are the dipoles aligned? The dipoles are aligned with the negative end in the direction of the initial electric field between the plates. The dipole moments are perpendicular to the initial electric field between the plates. The dipoles are aligned with the positive end in the direction of the initial electric field between the plates.
A total charge of 60.0 nC is uniformly distributed throughout a non-conducting sphere with a radius of 5.00 cm. The electric potential at r = 15.0 cm, relative to the potential far away, is V.
−9.29×10−3 J of work is required to move 1.28 μC between points A and B. The work is done against the field. The electric potential difference between these two points is V.
A total charge of 68.0 nC is uniformly distributed throughout a non-conducting sphere with a radius of 5.00 cm. The electric potential at the surface, relative to the potential far away, is V.
During a lightning discharge, 38.9 C of charge moves through a potential difference of 2.59×108 V in 1.05×10−2 s. The energy released by this lightning bolt is J.
Each plate of a capacitor stores a charge of magnitude 6 mC when a 200-V potential difference is applied. If the charge is doubled and the plates are moved so that the potential is halved, how will the new capacitance compare to the original? Cnew = 12 Ci Cnew = 4Ci Cnew = Ci None of the choices are correct. Cnew = 2Ci
A certain capacitor has a capacitance of 2.00 μF. After it is charged to 10.0 μC and isolated, the plates are brought closer together so its capacitance becomes 8.00 μF. What is the work done by the agent? J
A certain capacitor has a capacitance of 5.0 μF. After it is charged to 5.0 μC and isolated, the plates are brought closer together so its capacitance becomes 10 μF. The work done is about 8.3×10−7 J 1.3×10−6 J 0 J −8.3×10−7 J −1.3×10−6 J
A circuit consists of a battery with an EMF of 1.50 V and three capacitors in parallel, where C1 = 3.00 μF, C2 = 5.00 μF, and C3 = 8.00 μF. What energy is stored in the capacitors? J
In the figure below, q1 = +25.0 nC, q2 = −25.0 nC, and the charges are separated by d = 10.0 cm. If q1 is located at x = 0.00 cm, find the electric potential at the midpoint between the two charges (x = 5.00 cm). V
The electric field between two parallel plates is 20.0 V/m. If the plates are 2.50 mm apart and hold a charge of 16.0 μC, what is the capacitance of the plates? μF
−9.56×10−3 J of work is required to move 1.28 μC between points A and B. The field does positive work on the charge. The electric potential difference between these two points is V.
In the figure below, q1 = q2 = −28.0 nC, and the charges are separated by d = 10.0 cm. If q1 is located at x = 0.00 cm, find the electric potential at the midpoint between the two charges (x = 5.00 cm). V
A certain capacitor has a capacitance of 6 μF. While it is charged to 6 μC and isolated, the plates are pulled apart so its capacitance becomes 3 μF. The work done by the pulling agent is about 3×10−6 J 10×10−6 J 0 J 6×10−6 J 9×10−6 J
Two blocks of masses m and M = 2m are connected by a light rope that passes over a frictionless pulley. Mass m sits on a plane with an angle of inclination θ (Figure below). The coefficient of kinetic friction between mass m and the inclined plane is μk. Mass M starts at a height h from the floor. (12 points) Assume the mass M = 2m accelerates towards the floor and determine the acceleration of the system. (8 points) What is the velocity of mass M right before it reaches the floor? (2 points) Why is it correct to assume that mass M accelerates towards the floor?
The propeller of a World War II fighter plane is 2.64 m in diameter. What is its angular velocity in radians per second if it spins at 1400 rev/min ? What is the linear speed (in m/s) of its tip at this angular velocity if the plane is stationary on the tarmac? What is the centripetal acceleration of the propeller tip under these chnditions? Calculate it in meters per second squared and convert to multiples of g. centripetal acceleration in m/s2 centripetal acceleration in g
A 55.6 kg ice skater is moving at 3.96 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.790 m around the pole. (a) Determine the force exerted by the rope on her arms. (b) What is the ratio of this force to her weight? (force from part a / her weight) A 2000 kg car rounds a circular turn of radius 20 m. If the road is flat and the coefficient of friction between tires and road is 0.75 , how fast can the car go without skidding? m/s
A 50.0 kg child stands at the rim of a merry-go-round of radius 1.70 m, rotating with an angular speed of 2.60 rad/s. (a) What is the child's centripetal acceleration? (b) What is the minimum force between her feet and the floor of the merry-go-round that is required to keep her in the circular path? (c) What minimum coefficient of static friction is required?
A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are placed on the table as follows: a 6.0−kg object at the origin of the coordinate system, a 12.0−kg object at (0, 2.0), and a 17.0−kg object at (4.0, 0). Find the resultant gravitational force exerted by the other two objects on the object at the origin.
For block A (mass 2.5 kg) resting on a tabletop and block B (mass 1.5 kg) hanging from a cord over a frictionless pulley, with a coefficient of kinetic friction of 0.35 between block A and the tabletop: a. Draw the free-body diagrams for blocks A and B. b. Derive the equation for the constant acceleration of the system based on Newton's second law. c. Calculate the constant acceleration of the system and the tension in the cord. A B
A body of mass 3.00 kg is at rest on a smooth horizontal table. This body is connected by a light string, which passes over a smooth pulley at the edge of the table, to another body of mass 2.00 kg hanging freely. As the pulley is smooth, the tension in the string on both sides of the pulley will be the same. The string is said to be light, so its weight can be ignored. As the string is inextensible, when the system is released from rest the two bodies will have equal accelerations along the line of the string. Calculate the acceleration and the tension.
A woman on a bridge 86.8 m high sees a raft floating at a constant speed on the river below. She drops a stone from rest in an attempt to hit the raft. The stone is released when the raft has 4.67 m more to travel before passing under the bridge. The stone hits the water 1.75 m in front of the raft. Find the speed of the raft. Number Units
A woman on a bridge 82.7 m high sees a raft floating at a constant speed on the river below. She drops a stone from rest in an attempt to hit the raft. The stone is released when the raft has 9.67 m more to travel before passing under the bridge. The stone hits the water 3.51 m in front of the raft. Find the speed of the raft. Number Units
Consider the low RPM case as shown below, where the driven pulley is centered about point A and has a radius of 25 cm and frictional coefficient of friction μ. Let ϕ = 30∘ and θ = 15∘. If the tension of the tensed segment, T, of the belt is 1500 N, find the minimum value of μ required for the tension on the slacked segment, S, of the belt does not fall below 500 N.
The figure below shows a steel ball with a mass of 2.98 kg bouncing off a wall. The ball has the same speed just before and just after the impact (v = 10.0 m/s), and the angle its path makes with the wall is θ = 60.0∘ as shown. (Because we are analyzing the motion of the ball over a very short time just before and after impact, you may safely ignore the effect of gravity on the ball. ) The ball is in contact with the wall for 0.218 s. What is the average force (in N ) exerted by the wall on the ball during the impact? (i) magnitude N direction
A system consists of three point particles as shown in the figure. The net electric charge of point particle A is 3 nC, the net electric charge of point particle B is 7 nC, and the net electric charge of point particle C is −6 nC. What is the net electric potential energy (in nJ) of this system? Assume the system is in vacuum.
A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 3.68 m/s. The car is a distance d away. The bear is 22.3 m behind the tourist and running at 5.85 m/s. The tourist reaches the car safely. What is the maximum possible value ford? Number Units m
A ray of light travels from air into another medium, making an angle of θ1 = 45.0∘ with the normal as in the figure below. (a) Find the angle of refraction θ2 if the second medium is crown glass. (b) Find the angle of refraction θ2 if the second medium is polystyrene. (c) Find the angle of refraction θ2 if the second medium is glycerine.
A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 3.03 m/s. The car is a distance d away. The bear is 27.4 m behind the tourist and running at 4.63 m/s. The tourist reaches the car safely. What is the maximum possible value for d?
An approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending from the disk's center, as in the figure below. The disk has mass 2.80 kg and radius 0.200 m. Each rod has mass 0.850 kg and is 0.760 m long. (a) Find the ceiling fan's moment of inertia about a vertical axis through the disk's center. (Enter your answer in kg⋅m2.) kg⋅m2 (b) Friction exerts a constant torque of magnitude 0.119 N⋅m on the fan as it rotates. Find the magnitude of the constant torque provided by the fan's motor if the fan starts from rest and takes 15.0 s and 17.5 full revolutions to reach its maximum speed. (Enter your answer in N⋅m.) : N.m
A 6.50 kg block is pressed against a vertical wall by a force (F→), as shown in the figure below. The coefficient of static friction between the block and the wall is 0.32 and the directional angle θ for the force is 36∘. Determine the magnitude of the force (F→) when the block is about to slide up the wall. N
Consider the baby being weighed as shown in the figure below. What is the mass of the child and basket if a scale reading of 65.0 N is observed? What is the tension T1 in the cord attaching the baby to the scale? What is the tension T2 in the cord attaching the scale to the ceiling, if the scale has a mass of0.400 kg? Submit Answer Tries 0/99
A positively charged particle of mass 8.45×10−8 kg is traveling due east with a speed of 68.4 m/s and enters a 0.320−T uniform magnetic field. The particle moves through one-quarter of a circle in a time of 2.12×10−3 s, at which time it leaves the field heading due south. All during the motion the particle moves perpendicular to the magnetic field. (a) What is the magnitude of the magnetic force acting on the particle? (b) Determine the magnitude of its charge.
A 15.0 kg block is attached to a very light horizontal spring of force constant 500 N/m and is resting on a smooth horizontal table. (See the figure below (Figure 1).) Suddenly it is struck by a 3.00 kg stone traveling horizontally at 8.00 m/s to the right, whereupon the stone rebounds at 2.00 m/s horizontally to the left. Figure 1 of 1 Part A Find the maximum distance that the block will compress the spring after the collision. (Hint. Break this problem into two parts - the collision and the behavior after the collision - and apply the appropriate conservation law to each part x = m
A 5.00 kg chunk of ice is sliding at 13.0 m/s on the floor of an ice-covered valley when it collides with and sticks to another 5.00 kg chunk of ice that is initially at rest. (See the figure below (Figure 1).) Since the valley is icy, there is no friction. Figure 1 of 1 Part A After the collision, how high above the valley floor will the combined chunks go? (Hint: Break this problem into two parts-the collision and the behavior after the collision-and apply the appropriate conservation law to each part.) H = m
A spring (which behaves linearly both in tension and compression) when tested vertically in isolation, as shown in Figure 1, is found to stretch by x0 cm when it supports a mass of m1 kg. Figure 1 The spring extends by x0 cm when supporting an m1 kg mass The spring, along with a damper, is then attached horizontally to a trolley of mass 1360 kg, which is constrained to move only in the x-direction (see Figure 2). The spring is stretched some distance from its equilibrium position before being released. (a) (b) Figure 2 (a) A frictionless trolley is attached by a spring, with spring constant k and a damper with a damping coefficient χ. The trolley is shown in its natural rest position with its left-hand face at x = 0. (b) Free body diagram for the trolley shortly after being pulled to the right then released, with the spring under tension so, at this instant, its velocity is in the negative x-direction. (For clarity the damping force and normal reaction forces have been shown as acting at the point of their arrows - the spring force and weight are shown as acting at the tail of their arrows.)
In the figure, particle A moves along the line y = 29.0 m with a constant velocity v→ of magnitude 3.47 m/s and directed parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with zero initial speed and constant acceleration a→ of magnitude 0.400 m/s2. What angle θ between a→ and the positive direction of the y axis would result in a collision?
A block has mass m1 = 460 g, and a second block has mass m2 = 500 g, while a cord connects them and runs over a pulley, which is mounted on a horizontal axle with negligible friction. The pulley has radius R = 5.00 cm. When released from rest, block 2 falls 75.0 cm in 5.00 s without the cord slipping on the pulley. (a)What is the angular displacement of the pulley during this time interval? (b) What is the magnitude of the linear acceleration of the blocks? (c) What is the magnitude of the pulley's angular acceleration?