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2 answers:
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Answer:
The tensile stress on the wire is 550 MPa.
Explanation:
Given;
Radius of copper wire, R = 3.5 mm
extension of the copper wire, e = 5.0×10⁻³ L
L is the original length of the copper wire,
Young's modulus for copper, Y = 11×10¹⁰Pa.
Young's modulus, Y is given as the ratio of tensile stress to tensile strain, measured in the same unit as Young's modulus.
Therefore, the tensile stress on the wire is 550 MPa.
Answer:
Neglecting any frictional losses, the average power delivered by the car's engine is 10565 W
Explanation:
The energy conservation law indicates that the energy must be the same at the bottom of the hill and at the top of the hill.
The energy at the bottom is only the Kinect energy (K_1) of the car in motion, but in the top, the energy is the sum of its Kinect energy (K_2), potential energy (P) and the work (W) done by the engine.
then, the work done by the engine is:
The formulas for the Kinetic and potential energy are:
where, m is the mass of the car, V the velocity, g the gravity and h is the elevation of the hill.
Using the formulas:
Replacing the values:
The negative of this value indicates the direction of the work done, but for the problem, you only care about the magnitude, so the power is W=1690400 J. Now, the power is equal to work/time so you need to find the time the car took to get to the top of the hill.
The average speed of the car is (27+14)/2=20m/s, and t=d/v so the time is:
the power delivered by the car's engine was: