A rectangular loop of wire (length L = 17.0 cm and width W = 8.40 cm) is moving as shown in the drawing with a speed of 0.65 m/s. The loop is leaving a region in which a 2.30 T magnetic field exists; the magnetic field outside this region is zero. During a time of 0.13 s, what is the magnitude of the change in the magnetic flux? Wb
Two moving rods of equal lengths (1.20 m) are moving as shown in the figure. The speed v1 = 1.80 m/s and the speed v2 = 1.70 m/s. If the magnetic field is uniform with a magnitude of 0.40 T, what is the magnitude of the average emf in the loop? V What is the direction of the induced current in the circuit? Counterclockwise None of these Clockwise
A small, rigid object carries positive and negative 2.00 nC charges. It is oriented so that the positive charge has coordinates (-1.20 mm, 1.00 mm) and the negative charge is at the point (1.50 mm, -1.30 mm). (a) Find the electric dipole moment of the object. C⋅mi^ + C⋅mj^ (b) The object is placed in an electric field E→ = (7.80×103 i^ - 4.90×103 j^)N/C. Find the torque acting on the object. N⋅m−− Select - V (c) Find the potential energy of the object-field system when the object is in this orientation. J (d) Assuming the orientation of the object can change, find the difference between the maximum and the minimum potential energies of the system. J
A 70.0-kg man is riding an escalator in a shopping mall. The escalator moves the man at a constant velocity from ground level to the floor above, a vertical height of 4.50 m. What is the work done on the man by (a) the gravitational force and (b) the escalator? (a) Number Units (b) Number Units
The figure shows a particle that carries a charge of q0 = −2.87×10−6 C. It is moving along the +y axis at a speed of v = 4.73×106 m/s. A magnetic field B→ of magnitude 3.48×10−5 T is directed along the +z axis, and an electric field E→ of magnitude 116 N/C points along the −x axis. Determine (a) the magnitude and (b) direction (as an angle within x - y plane with respect to +x-axis in the range (−180∘, 180∘]) of the net force that acts on the particle. (a) Number Units (b) Number
Using Kirchhoff's rules, find the following. (E1 = 70.4 V, E2 = 61.8 V, and E3 = 78.4 V.) (a) the current in each resistor shown in the figure above (Enter the magnitude.) IR1 = mAIR2 = mAIR3 = mA (b) the potential difference between points c and f magnitude of potential difference V point at higher potential
The RC charging circuit in a camera flash unit has a voltage source of 265 V and a capacitance of 106 μF. HINT (a) Find its resistance R (in ohms) if the capacitor charges to 90.0% of its final value in 13.2 s. Ω (b) Find the average current (in A) delivered to the flash bulb if the capacitor discharges 90.0% of its full charge in 1.54 ms. A
In the figure a block slides along a path that is without friction until the block reaches the section of length L = 0.77 m, which begins at height h = 1.2 m, on a ramp of angle θ = 30∘. In that section the coefficient of kinetic friction is 0.480. The block passes through point A with a speed of 8.4 m/s. If the block can reach point B (where the friction ends), what is its speed there, and if it cannot, what is its greatest height above A?
A 400 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 4.6 N/cm (see the figure). The block becomes attached to the spring and compresses the spring 15 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring? (a) Number Units (b) Number Units (c) Number Units (d) Number Units
A person pushes a 24.6-kg shopping cart at a constant velocity for a distance of 19.4 m on a flat horizontal surface. She pushes in a direction 29.1∘ below the horizontal. A 49.4-N frictional force opposes the motion of the cart. (a) What is the magnitude of the force that the shopper exerts? Determine the work done by (b) the pushing force, (c) the frictional force, and (d) the gravitational force. (a) Number Units (b) Number Units (c) Number Units (d) Number Units
A boy shoves his stuffed toy zebra down a frictionless chute. It starts at a height of 1.05 m above the bottom of the chute with an initial speed of 1.43 m/s. The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with a coefficient of kinetic friction of 0.295. How far from the bottom of the chute does the toy zebra come to rest? Assume g = 9.81 m/s2 m
The circuit in the given figure is to control the speed of a motor such that the motor draws currents 7 A, 5 A, and 2 A when the switch is at high, medium, and low positions, respectively. The motor can be modeled as a load resistance of 20 mΩ. Determine the series dropping resistances R1, R2, and R3. The series dropping resistances R1, R2, and R3 are Ω, Ω, and Ω, respectively.
An m = 3.32 kg block situated on a rough incline is connected to a spring of negligible mass having a spring constant of k = 125 N/m, as seen in the figure below. The pulley is frictionless and massless. The block starts at rest at the position where the spring is unstretched (at equilibrium). The block moves 19.1 cm down the incline before coming momentarily to rest (this is the magnitude of the distance the block moves, not its vertical displacement). Take θ = 31.5∘. 12 Calculate the coefficient of kinetic friction between block and incline.
When filled with sand, a bucket has a mass of 20 kg. The bucket with the sand must be lifted to the top of a 40 meter tall building. A rope with mass 0.3 kg/m is used to lift the bucket. It takes 1 meter of rope to secure the bucket. When the bucket reaches the top of the building, its mass is only 11 kg because a hole in the bottom of the bucket leaks sand at a constant rate while the bucket is being lifted to the top of the building. Part a) Determine the force applied to lifting the bucket. F(x) = N Part b) What is the work done in lifting the bucket to the top of the building? (If necessary, round your final answer to five? decimal places.) W = Joules
The 18-kg block A has a velocity v = 10 m/s when it is s = 6 m from the 10-kg block B as shown in. The unstretched spring has a stiffness k = 1600 N/m. Take e = 0.6, and for block A, μk = 0.3. Assume block B is smooth. Part A Determine the maximum compression of the spring after the collision. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) xmax = Value Units
The quantity t1/2 = τln2 is called the half-life of an exponential decay, where τ = RC is the time constant in an RC circuit. The current in a discharging RC circuit drops by half whenever t increases by t1/2. For a circuit with R = 2.0 kΩ and C = 3.0 μF, if the current is 6.0 mA at t = 3.0 ms, at what time (in ms) will the current be 3.0 mA? Do not include units with your answer.