1. On a hot summer day (30.0 celsius), a hiker shouts into a canyon. she hears t
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Question
1. On a hot summer day (30.0 celsius), a hiker shouts into a canyon. she hears the echo 1.0 s later. How far away is the opposite side of the canyon?
2. An electron is projected into a uniform magnetic field B = (1.40i + 2.10j) T. Find the vector expression for the force on the electron when its velocity is v = 3.70 × 105 j m/s.
3. Imagine a very long, uniform wire with a linear mass density of 1.00 g/m that encircles the Earth at its magnetic equator. Suppose that the planet’s magnetic field is 50.0 µT horizontally north throughout this region. What are the magnitude and direction of the current in the wire that keep it levitated just above the ground?
4. A section of conductor 0.400 cm thick is used in a Hall-effect measurement. A Hall voltage of 35.0 µV is measured for a current of 21.0 A in a magnetic field of 1.80 T. Calculate the Hall coefficient for the conductor.
Explanation / Answer
1) distance = 330*0.5 = 165m 2) F = q(V X B) = 1.6*10^-19(3.7*10^5j X (1.4i + 2.1j)) = -8.288*10^-14k N 3) current should flow from east to west ilB = mg i = mg/lB = 9.8/(0.001*50*10^-6) = 196MA = 196*10^6 A (given l/m=0.001)
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