Answer: [D] (Clarification: The one with the steepest incline)
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:
α = F/(k×m×r)
Explanation:
When the wheel is pulled to turn in a counterclockwise direction, the wheel will have a moment of inertia given by Iw = k×m×r²
Where k = the radius of gyration of the wheel which is a dimensionless quantity less than one.
m = the mass of the wheel
r = the radius of the wheel
First and foremost, we relate the torque (τ) about the axle of the wheel to the force (F) applied on the wheel and we have that τ = r × F
We then relate the torque on the wheel to the angular acceleration (α), we have that τ = Iw × α, where Iw is the moment of inertia of the wheel as explained above
Substituting for torque τ and moment of inertia I into the above equation we have that
r × F = k×m×r² × α
solving for α we have that
α = r × F /(k×m×r²)
Therefore
α = F/(k×m×r)
Answer:
0.24 km
Explanation:
Total time taken = 25 + 10 + 15 = 50 mins
Total distance covered = 1.0 km( initial distance ) + 0.76 km( final distance ) = 1.76 km
therefore the displacement of the individual = 1 - 0.76 = 0.24 km
displacement is the difference between final distance and initial distance covered by an individual and it is a vector quantity
