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Texts: MY NOTESASKYOURTEACHERPRACTICEANOTHERA single turn coil of radius 4.50 cm is held in a vertical plane and a magnet is rapidly moved relative to the coil as shown in the diagram below.The field inside the coil changes from 0.380 T to 0.570 T in 0.120 s. If the resistance of the coil is 4.30 Ω, what is the magnitude and direction of the induced current in the coil as viewed from the side of the magnet? Magnitude: mADirection: clockwise
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| Question Text | A particle moves along the x axis. It is initially at the position 0.180 m, moving with velocity 0.120 m/s and acceleration -0.420 m/s2. Suppose it moves with constant acceleration for 4.10 s.(a) Find the position of the particle after this time. -2.86 m(b) Find its velocity at the end of this time interval. -1.60 vm/sWe take the same particle and give it the same initial conditions as before. Instead of having a constant acceleration, it oscillates in simple harmonic motion for 4.10 s around the equilibrium position x = 0. Hint: the following problems are very sensitive to rounding, and you should keep all digits in your calculator.(c) Find the angular frequency of the oscillation. Hint: in SHM, a is proportional to x. 2.33 Your response differs from the correct answer by more than 10%. Double check your calculations. /s(d) Find the amplitude of the oscillation. Hint: use conservation of energy. .187 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m(e) Find its phase constant o if cosine is used for the equation of motion. Hint: when taking the inverse of a trig function, there are always two angles but your calculator will tell you only one and you must decide which of the two angles you need. rad(f) Find its position after it oscillates for 4.10 s. -.0049 The response you submitted has the wrong sign. m(g) Find its velocity at the end of this 4.10 s time interval. m/s |
| Topic | All topics |
| Subject | Physics |
| Class | Class 12 |
