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Q.23

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 256

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Short Answer

The spring in is compressed by . It launches the block across a frictionless surface with speed. The two springs in are identical to the spring of . They are compressed the same total and used to launch the same block. What is the block’s speed now?

The block speed = .

See the step by step solution

Step by Step Solution

Step 1 : Speed : 

Speed refers to how rapidly something is going or being done, or something that is moving swiftly.

Step 2 : Explanation :

The equation gives the amount of energy stored in the spring,

= Energy, = spring stiffness, = stretch in the spring.

The block's kinetic energy is given by,

= energy, = block's mass, = block's velocity.

(a) Consider the figure as spring block system,

In the spring, elastic energy stored = kinetic energy. Hence, block velocity equation can be,

(b) Consider the figure as spring block system,

Two springs are connected in series in the illustration above. As a result, the equivalent spring stiffness of these two springs is determined as follows:

In the spring, elastic energy stored = kinetic energy. Hence, block velocity equation can be,

Using the value from the

Hence, block speed is .

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