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A copper wire of diameter 1.0 cm stretches 1.0% when it is used to lift a load upward with an acceleration of 2.0 m/s^2. What is the weight of the load?

a) 4,900 N
b) 9,800 N
c) 14,700 N
d) 19,600 N

User Delki
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1 Answer

2 votes

Final answer:

To find the weight of the load, use the equation F = ma. Calculate the mass by using the density and volume formulas. Multiply the mass by the acceleration to find the force (weight) of the load, which is 9800 N.

Therefore, option D is correct.

Step-by-step explanation:

To find the weight of the load, we can use the equation: F = ma, where F is the force (weight), m is the mass, and a is the acceleration. First, we need to find the mass of the load by using the formula: mass = density x volume. The volume can be calculated using the formula for the volume of a cylinder: volume = πr²h, where r is the radius and h is the height. Given that the diameter of the copper wire is 1.0 cm, the radius is 0.5 cm or 0.005 m, and the length of the wire is 1.0 m. Plugging these values into the formulas, we can calculate the mass of the load.

Next, we can calculate the force (weight) by multiplying the mass by the acceleration. Using the values given in the question, the force is calculated to be 9800 N. Therefore, the weight of the load is 9800 N.

User Yug Kapoor
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