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A circular loop of wire of radius 0.25 cm is expected to an external magnetic field that is perpendicular to the plane of the loop. For a time, the magnetic field decreases at a rate of 0.0035 T/s. What is the magnitude of the induced electromagnetic force in the loop?
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9. A garage offers a breakdown recovery service for motorists that is available every day of the
year. According to their records the number of call-outs they received per day last year were:
Number of call-outs: 0 1 2 3 4
Number of days: 68 103 145 37 12
Required: What is the probability that
A. They receive two call-outs in a day?
B. They receive two or fewer call-outs in a day?
C. They receive one or more call-outs in a day?
D. They receive less than four call-outs in a day?
E. They receive more than two call-outs in a day?
A race car accelerates uniformly from
18.5 m/s to 23.6m/s in 21seconds.
Determine the acceleration of the car
and the distance traveled.
A flexible rectangular coil of wire with 150 loops is stretched in such a way that its dimension changes from 5 cm x 8 cm to 7 cm x 11 cm in 0.15 s in a magnetic field of 25T that is 30 degrees relative to the plane of the coil.
a. Calculate the induced EMF
b. How much energy in joules was dissipated in the circuit if the total resistance is 100Ω?
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How would you use a teacher-centred media resource to explain the meaning of (7×8) to grade 5 learner? Use two different illustrations to show your understanding
A population consists of the four numbers 3 7 11 15 consider all possible sample of size two which can be drawn with replacement
Let A = {a, b, c}, B = {x, y}. Find the following:
1. A × B
2. B × A
Yna Celestine believes that the average amount of time spent by her classmates
in studying their self learning module in Math per week is less than 300 minutes
with a standard deviation of 45 minutes. She took a random sample of 35 students
in their class and found out that average time spent for studying was 285 minutes.
Test the claim at the 0.05 level of significance.
Consider the R −R2 function r r defined by (t) = (a) Write down the domain of r (b) Is r (c) Is r continuous at t = 0? continuous at t = 2? (d) Sketch the curve r 26 . . (t, t2) if t ∈ [−2,0] (t, t) t, t2 if if t ∈ (0,2) t ∈ [2,3]
A system takes in 0.380 kJ of heat while it does 0.790 kJ of work on the surroundings. What is the change in internal energy of the system?
#339914 on Dec 2023