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Chapter 10: Q.41 (page 258)

A very slippery ice cube slides in a vertical plane around the inside of a smooth, 20-cm-diameter horizontal pipe. The ice cube’s speed at the bottom of the circle is 3.0m/s. What is the ice cube’s speed at the top?

Short Answer

Expert verified

Ice cube's speed at the top will be zero.

Step by step solution

01

Speed : 

It is the change in an object's location with regard to time.

02

Explanation : 

A highly slippery ice cube moves vertically across the inside of a smooth horizontal pipe with a diameter of 20cm. At the bottom of the circle, the ice cube's speed is 3.0m/s.

Ice cube's total energy KE+PEremains constant 12mv2+mgh=constant,

v= ice cube's velocity,

-h= height from the bottom of the vertical circle.

The frictional force does no work since the pipe is smooth. When an ice cube is released from rest from a point on the vertical circle, it will reach the release height at the same speed as when it was released. As a result, the top ice cube's speed will be zero.

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Most popular questions from this chapter

A clever engineer designs a “sprong” that obey the force law Fx=-qx-xeq3,where xeq is the equilibrium position of the end of the sprong and q is the sprong constant. For simplicity, we’ll let xeq=0m. Then Fx=-qx3.

a. What are the units of q?

b. Find an expression for the potential energy of a stretched or compressed sprong.

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