Answer:
The extension of the wire is 0.362 mm.
Explanation:
Given;
mass of the object, m = 4.0 kg
length of the aluminum wire, L = 2.0 m
diameter of the wire, d = 2.0 mm
radius of the wire, r = d/2 = 1.0 mm = 0.001 m
The area of the wire is given by;
A = πr²
A = π(0.001)² = 3.142 x 10⁻⁶ m²
The downward force of the object on the wire is given by;
F = mg
F = 4 x 9.8 = 39.2 N
The Young's modulus of aluminum is given by;

Where;
Young's modulus of elasticity of aluminum = 69 x 10⁹ N/m²

Therefore, the extension of the wire is 0.362 mm.
Answer:
13 meters
Explanation:
Step one:
given
We are told that Nathalie leaves a history classroom and walks 3 meters North
Then travels another 10 meters south to an art classroom.
Required
The total distance.
Step two:
The total distance can be computed by summing up the 3 meter North distance traveled and the 10 meter south distance traveled
Total distance= 3+10= 13meters