The solution to the questions are given as
Given, $B(t)=(1.4 T) e^{-0.057 t}$
(b)
c)
In conclusion, the direction of the induced current will be Counterclockwise.
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9* m
Explanation:
Step 1:
We are given the initial length of the Pyrex glass dish at a particular temperature and need to calculate the change in the length when the temperature changes by 120° C. The coefficient of linear expansion of Pyrex is provided.
Step 2:
Change in length = Coefficient of linear expansion * Change in temperature * Initial length
Step 3:
Coefficient of linear expansion = 3* /°C
Change in temperature = 120°C = 120 K
Initial length = 0.25 m
Step 4:
Change in length = 3* * 120 * 0.25 = 9*
m
ANSWER
0s to 3s
EXPLANATION
To find the time interval where the object was traveling more quickly, we have to find the velocity of the object during each interval.
From a position-time graph, we can obtain the velocity of the object from the slope of the graph in each interval. To find those slopes, we just have to divide the vertical difference by the time interval.
The interval from 0s to 3s:
The interval from 3s to 5s and the interval from 7s to 8s have a horizontal line, so the slope is zero and therefore the velocity is zero - meaning that the object was not moving during these periods.
The interval from 5s to 7s,
And the interval from 8s to 12s,
Two of these three velocities are negative. Negative velocity indicates that the object is moving backward.
From these velocities, the greatest one, in absolute value, is the one between 0s to 3s. During this interval, the object is moving backward but at the greatest velocity.