A coil in a magnetic field encloses a flux of 0.256 Tm2 when the angle between the normal to the coil and the direction of the magnetic field is 70.0. What flux would go through the coil if the angle were changed to 30.0?
a. 0.648 Tm2
c. 0.114 Tm2
b. 0.573 Tm2
d. 0.198 Tm2
[Ques. 2] A runaway railroad car, with mass 30 104 kg, coasts across a level track at 2.0 m/s when it collides with a spring-loaded bumper at the end of the track. If the spring constant of the bumper is 4.0 106 N/m, what is the maximum compression of the spring during the collision? (Assume the collision is elastic.)
a. 0.77 m
c. 0.34 m
b. 0.55 m
d. 1.07 m
[Ques. 3] A loop of area 0.250 m2 is in a uniform 0.0200-T magnetic field. If the flux through the loop is 3.21 103 Tm2, what angle does the normal to the plane of the loop make with the direction of the magnetic field?
a. 40.0
c. 50.0
b. 37.5
d. This is not possible.
[Ques. 4] A mass of 0.40 kg, hanging from a spring with a spring constant of 160 N/m, is set into an up-and-down simple harmonic motion. What is the speed of the mass when moving through a point at 0.05 m displacement? The starting displacement of the mass is 0.10 m from its equilibrium position.
a. zero
c. 1.7 m/s
b. 1.4 m/s
d. 1.2 m/s
[Ques. 5] A uniform 4.5-T magnetic field passes through the plane of a wire loop 0.20 m2 in area. What flux passes through the loop when the direction of the 4.5-T field is at a 30 angle to the normal of the loop plane?
a. 0.39 Tm2
c. 0.78 Tm2
b. 5.0 Tm2
d. 0.225 Tm2
[Ques. 6] A mass of 0.40 kg, hanging from a spring with a spring constant of 160 N/m, is set into an up-and-down simple harmonic motion. What is the speed of the mass when moving through the equilibrium point? The starting displacement from equilibrium is 0.10 m.
a. zero
c. 2.0 m/s
b. 1.4 m/s
d. 3.4 m/s
[Ques. 7] A uniform 1.5-T magnetic field passes perpendicularly through the plane of a wire loop 0.30 m2 in area. What flux passes through the loop?
a. 0.135 Tm2
c. 0.45 Tm2
b. 5.0 Tm2
d. 0.25 Tm2
[Ques. 8] A 0.40-kg object, attached to a spring with spring constant k = 10 N/m, is moving on a horizontal, frictionless surface in simple harmonic motion of amplitude of 0.080 m. What is its speed at the instant when its displacement is 0.040 m? (Hint: Use conservation of energy.)
a. 17 m/s
c. 3.5 cm/s
b. 35 cm/s
d. 6.9 cm/s
[Ques. 9] Three loops of wire, one circular, one rectangular, and one square, are made from identical lengths of wire. If the loops are in the same increasing magnetic field perpendicular to the plane of the coils, which loop has the least induced emf?
a. the square one
b. the rectangular one
c. the circular one
d. All three would have the same emf induced.
[Ques. 10] A 0.20-kg object is oscillating on a spring with a spring constant of k = 30 N/m. What is the potential energy of the system when the object's displacement is 0.040 m, exactly half the maximum amplitude?
a. 0.96 J
c. 0.012 J
b. 0.024 J
d. zero
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