Answer:
The answer to your question is Ep = 73.6 Joules
Explanation:
Data
mass = 2.5 kg
height = 3 m
gravity = 9,81 m/s²
Potential energy = ?
Potential energy is the energy stored in an object due to its position, the highest the object be, the highest the potential energy.
Formula
Pe = mgh
Substitution
Ep = (2.5)(9.81)(3)
Simplification and result
Ep = 73.6 Joules
Answer:
The maximum mass that can fall on the mattress without exceeding the maximum compression distance is 16.6 kg
Explanation:
Hi there!
Due to conservation of energy, the potential energy (PE) of the mass at a height of 3.32 m will be transformed into elastic potential energy (EPE) when it falls on the mattress:
PE = EPE
m · g · h = 1/2 k · x²
Where:
m = mass.
g = acceleration due to gravity.
h = height.
k = spring constant.
x = compression distance
The maximum compression distance is 0.1289 m, then, the maximum elastic potential energy will be the following:
EPE =1/2 k · x²
EPE = 1/2 · 65144 N/m · (0.1289 m)² = 541.2 J
Then, using the equation of gravitational potential energy:
PE = m · g · h = 541.2 J
m = 541.2 J/ g · h
m = 541.2 kg · m²/s² / (9.8 m/s² · 3.32 m)
m = 16.6 kg
The maximum mass that can fall on the mattress without exceeding the maximum compression distance is 16.6 kg.
Answer:NOOPE
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Answer:The electric current
Explanation:
