Question 2. As shown in Figure 4, two sufficiently long cylindrical conductors A and B of radii R are placed distance a apart. Currents (the strength I) are flowing in conductors A and B in opposite directions to each other. Find the magnetic flux density B at P on the plane containing the central axis of A and B simultaneously. Note that we suppose a≫R and the P locates between A and B. Assuming that a closed circuit is created by A and B, then find the self-inductance per unit length. Figure 2. Figure for Question 2
A 910-kg object is released from rest at an altitude of 1200 km above the north pole of the earth. If we ignore atmospheric friction, with what speed does the object strike the surface of the earth? {G = 6.67×10−11 N⋅m2 kg, Mearth = 5.97×1024 kg, the polar radius of the earth is 6357 km) 4.5 km/s 2.7 km/s 4.8 km/s 2.2 km/s 3.2 km/s
If I1 = 4.68 A, I2 = 0.65 A, and d = 5.43 cm, what is the magnitude of the magnetic force on a 1.66 cm length of the bottom wire? Enter your answer in units of micronewtons, 10−6 Newtons. For example, if your calculation produces a value of 1.23×10−7 N, first convert units to 1.23×10−1(×10−6 N) or 0.123×10−6 N, then enter your answer as 0.123.
The circuit below has the following values for its components: ΔV1 = 4 V, ΔV2 = 11 V, R1 = 12 Ω, and R2 = 10 Ω. What is the magnitude of the current through battery ΔV1? Report your answer in units of milliamperes. For example, if your calculations produce a value of 0.123 A, first transform your units as 123 mA, then enter your answer as 123.
The circuit shown below has the following values for its components: ΔV = 7 V, R1 = 24 Ω, R2 = 12 Ω, and R3 = 18 Ω. What is the current flowing through R3? Report your answer in units of milliamperes. For example if your calculation produces a value of 0.123 A, first convert units as 123 mA, then enter your answer as 123.
Two parallel wires carry currents as shown in the figure below; current 1 is I1 = 3.1 A, current 2 is I2 = 4.6 A. The wires are separated by a distance Δx = 11.4 cm. Fin the magnitude of the total magnetic field at point P, which is a distance Δy = 3.7 cm above wire 2. Report your answer in units of microtesla, 10−6 T. For example, if your calculations produce a value of 1.23×10−5 T, first convert units to 12.3×10−6 T, then enter your answer as 12.3.
In the figure a uniform electric field is directed out of the page within a circular region of radius R = 2.50 cm. The magnitude of the electric field is given by E = (5.00×10−3 V/m∙s)t, where t is in seconds. What is the magnitude of the magnetic field that is induced at radial distances (a) 1.50 cm and (b) 6.50 cm? (a) Number Units (b) Number Units
A collision occurs between a 1.26 kg particle traveling with velocity V1→ = (−2.35 m/s)i^ + (−5.67 m/s)j^ and a 4.91 kg particle traveling with velocity V2→ = (6.97 m/s)i^ + (−2.80 m/s)j^. The collision connects the two particles. What then is the (a)x component and (b)y component of their velocity? Express their velocity as a (c) magnitude and (d) angle (in the range (−180∘, 180∘) from the +x axis? (a) Number Units (b) Number Units (c) Number Units (d) Number Units
A cart with mass 290 g moving on a frictionless linear air track at an initial speed of 1.7 m/s undergoes an elastic collision with an initially stationary cart of unknown mass. After the collision, the first cart continues in its original direction at 1.1 m/s. (a) What is the mass of the second cart? (b) What is its speed after impact? (c) What is the speed of the two-cart center of mass? (a) Number Units (b) Number Units (c) Number Units
A monatomic ideal gas expands from point A to point B along the path shown in the drawing. (a) Determine the work done by the gas. (b) The temperature of the gas at point A is 140 K. What is its temperature at point B? (c) How much heat has been added or removed from the gas during the process?
The figure shows a three-particle system, with masses m1 = 2.3 kg, m2 = 2.2 kg, and m3 = 8.6 kg. What are (a) the x coordinate and (b) the y coordinate of the system's center of mass? (a) Number Units (b) Number Units
A 8.92 kg mass is initially moving with a velocity 11.25(m/s)i^ on a horizontal plane. The coefficient of kinetic friction is 0.259. Determine how far the mass moves before coming to rest (in m). (use g = 9.8 m/s2 as the magnitude of the acceleration of gravity)
Problem: A ball of mass M = 15.0 kg and radius R = 0.30 m is wrapped with a string, around its circumference, as shown. The string is pulled horizontally as shown with force of magnitude F = 110 N. The ball rolls without slipping on a horizontal surface. Moment of inertia of a sphere about an axis through its center of mass is Icm = 25 MR2.14 pt What is the approximate force of friction between the ball and the horizontal surface on which it rolls? 22. A < 47, 0, 0 > N B < 55, 0, 0 > N C < −47, 0, 0 > N D < −37, 0, 0 > N E < 37, 0, 0 > N
Two blocks of masses mA = 7, 8 kg and mB = 16, 8 kg are placed on a frictionless horizantal surface. A massless spring spring is attached to the more massive block, and the two blocks are pushed together with the spring between them. A cord initially holding the blocks together (at rest) is cut and after that the blocks move in the opposite directions as shown in the figure below. What is the ratio of the speeds of the blocks after the cord is cut, vA/vB = ? Express your answer using one decimal place. Please note that the system consists of the two blocks and the spring and the net external force on the system is zero. a After b
Q2. Water (ρ = 1000 kg/m3) strikes a block as shown and is deflected 30∘. The flow rate of the water is 1 kg/s, and the inlet velocity is V = 10 m/s. The mass of the block is 1 kg. The coefficient of static friction between the block and the surface is 0.1 (friction force/normal force). If the force parallel to the surface exceeds the frictional force, the block will move. Determine the force on the block and whether the block will move. Neglect the weight of the water.
The 80 kg man shown above is attempting to move a 150 kg crate by pulling on a rope at a 30∘ angle. The coefficient of static friction between the crate and the ground is 0.3. What is the minimum force needed to get the crate moving? (Please choose the closest answer) 642 N 824 N 435 N 1080 N 245 N
The system shown below consists of a mass m2 = 415 grams connected by a string over a frictionless pulley to a hanging mass m1 = 156 grams. A spring of constant k = 5.70 N/m, initially unstretched, is attached to the back of m2. The desktop has a coefficient of friction of μ = 0.136. The hanging mass descends some distance y before momentarily coming to rest. A. What is the distance y? 4.0 B. What is the work done by the spring? 4.0 C. What is the work done by friction? 4.9 D. What is the work done on m2 by the tension in the string? 4.0 E. What is the work done on m1 by the tension in the string? 4.0 F. What is the net work done on the system?