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Questions in physics

[Done] For a rope obeying Hooke's law, show that the elastic potential energy stored in the rope is given by \[ E = \frac{1}{2} k x^2 \] where \( k \) is the elastic spring constant and \( x \) is the extension.

[Done] Identify the process by which rocks change over millions of years.

[Done] What is the weight of a 980 kg object on Earth?

[Done] A 0.63 kg mass rests on top of a vertical spring with a spring constant of 65 N/m. Determine the distance that the spring is compressed from its equilibrium position when the mass is at rest.

[Done] Usually, the hull of a ship contains a large volume of air. Why?

[Done] In one hand, you hold a 0.12-kg apple, and in the other hand, a 0.20-kg orange. The apple and orange are separated by 0.75 m. What is the magnitude of the force of gravity that (a) the orange exerts on the apple? (b) the apple exerts on the orange?

[Done] In 25 years, how much movement will result from a fault that slowly slips 1.5 centimeters per year?

[Done] What two plates form the boundary on the western coast of Canada?

[Done] Is it possible for a distance-versus-time graph to be a vertical line? Explain.

[Done] Please help! A string is tied to a 4.4 kg block and a 120 g hanging bucket. Students add 20 g washers one at a time to the bucket. The students are unaware that the coefficient of static friction for the block on the table is 0.42. A) What is the maximum force of static friction for the block? Answer: 18.11 N B) How many washers can the students add to the bucket without moving the block? Answer: 86 C) The coefficient of kinetic friction is 0.34. Calculate the acceleration of the block when the final washer is added to the bucket and the objects start to move. The diagram shows a block on the table sitting horizontally with a pulley holding the bucket vertically with one string. The block and the bucket are tied with one string. I just didn't get C).