<h2>Answer:</h2>
The refractive index is 1.66
<h2>Explanation:</h2>
The speed of light in a transparent medium is 0.6 times that of its speed in vacuum
.
Refractive index of medium = speed of light in vacuum / speed of light in medium
So
RI = 1/0.6 = 5/3 or 1.66
The cyclist is moving by uniformly accelerated motion, with an initial velocity of

and an acceleration of

.
The acceleration is given by

where

is the final velocity and

is the time between the end and the beginning of the motion, and in our case it is 1.75 s. Therefore, from this relationship we can find the final velocity:
Kinetic Energy = 1/2xmassx(velocity)^2
Input values;
K.E=1/2x7kgx(4m/s)^2
K.E.=56J
The resistance of the sample is 
Explanation:
The relationship between resistance of a material and temperature is given by the equation

where
is the resistance at the temperature 
is the temperature coefficient of resistance
For the sample of nickel in this problem, we have:
when the temperature is 
While the temperature coefficient of resistance of nickel is

Therefore, the resistance of the sample when its temperature is

is

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Answer: 588 joules
Explanation:
Work is done when force is applied on an object over a distance ( whether vertical or horizontal). It is measured in joules.
Thus, Workdone = Force X distance
- Vertical distance to be moved by the brick = 12 metres
- Mass of box = 5kg
- Acceleration due to gravity when box was lifted represented by g is a constant with value of 9.8m/s^2
Now, recall that Force = Mass x acceleration due to gravity
i.e Force = 5kg x 9.8m/s^2
Force = 49 Newton
So, Workdone = Force X Distance
Workdone = 49 Newton X 12 metres
Workdone = 588 joules
Thus, 588 joules of work was done.