How does adding a block to a spring affect its stiffness?

In summary, a spring in a sink with a length of 0.20[m] becomes 0.05[m] long when a light wooden block (0.2[m,x]×0.2[m,y]×0.1[m,z]) with a mass density of 750[kg/m³] is placed on top of it. To solve for the stiffness of the spring, we need to calculate the weight of the block and use the formula for force exerted by a spring. If the sink is filled with water until the block's top is 0.05[m] below the surface with a density of 1000[kg/m³], the forces applied to the block will change. We can also calculate the
  • #1
caitbaby23
2
0

Homework Statement


A spring sticks up from the bottom of the sink, 0.20[m] long ; when a light (ρ=750[kg/m³]) wood block (0.2[m,x]×0.2[m,y]×0.1[m,z]) is attached on top of it, the spring becomes 0.05[m] long.


Homework Equations


mass density = mass / volume
Fspring = -ks



The Attempt at a Solution



a) weight of block = 3kg
stiffness of spring?
b & the others.. ??
 
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  • #2
What do you need to determine?
 
  • #3
a) calculate the weight of the block, and the spring's stiffness.
b) Write the Forces applied to the block if the sink is filled until the block's top is .05[m] below water surface (ρ=1000[kg/m³]).
c) calculate the Pressure Force on block's top and on block's bottom. (Patmosphere=10000[N/m²])
d) What will the spring's length become, when the block is submerged?
 
  • #4
- for spring stiffness all you need to think about is the formula for the force exerted by a spring. draw your free body diagram. There will only be two forces...

- what do you think adding water does? the question already gives you a great hint in that it gives you the density of water...
 

1. What is pressure?

Pressure is defined as the force per unit area acting on a surface. It is typically measured in units of Pascals or Newtons per square meter.

2. How is pressure related to mass density?

Pressure is directly proportional to mass density, meaning that as the mass density increases, so does the pressure. This is because a greater mass density indicates a greater amount of particles in a given area, resulting in more collisions and therefore more pressure.

3. How does pressure affect objects?

Pressure can cause objects to compress or deform, depending on the material and the amount of force applied. For example, a balloon will expand or burst if there is too much pressure from the air inside.

4. What is the formula for pressure?

The formula for pressure is pressure = force/area. This means that to increase pressure, you can either increase the force applied or decrease the area over which the force is applied.

5. How is pressure measured?

Pressure can be measured using various instruments such as a barometer, manometer, or pressure gauge. These instruments typically use the units of Pascals, but other units such as atmospheres or pounds per square inch may also be used.

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