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Chapter 9: Q. 25 (page 228)

A horizontal spring with spring constant 750 N/m is attached to a wall. An athlete presses against the free end of the spring, compressing it 5.0 cm. How hard is the athlete pushing?

Short Answer

Expert verified

The force when the athlete pushing isF=37.5N

Step by step solution

01

Step 1. Given Information

A horizontal spring with spring constant 750N/m is attached to a wall.

and compressing it5.0cm

02

Step 2. Relationship between the restoring force and the displacement

When a spring is compressed, a force is exerted by its material to restore it to its equilibrium position and its force is called restoring force Fsp

Hooke's Law states the relationship between the restoring force and the displacement 鈭�sthat is occurred to the spring and it is given by equation

Fsp=-k鈭�s

where kis the force constant and the negative sign shows the direction

so, he exerts a force in the negative sign of the restoring force is given by F=-Fsp=k鈭�s

Now, put the values

F=k鈭�s=(750N/m)(脳0.05m)=37.5N

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