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:
θ= 5 radian
Explanation:
Given data:
Radius r = 0.70 m
Initial angular speed ω_i = 2rev/s
Time t = 5 s
Final angular speed ω_f =0
so we have angular displacement

putting values
= 5 rad
Answer:
Rms speed of the particle will be 
Explanation:
We have given mass of the air particle 
Gas constant R = 8.314 J/mol-K
Temperature is given T = 
We have to find the root mean square speed of the particle
Which is given by 
So rms speed of the particle will be 
Complete Question
The complete question is shown on the first uploaded image
Answer:
The <u>Fruit juice </u> should be put in the cooler, because <u>it has the greatest heat capacity</u> and will therefore, <u>absorb the most heat for each degree it increases in temperature.</u>
Explanation:
in order to understand the answer above we need to know what specific heat capacity is
Specific heat capacity can be defined as the amount of heat required to raise the temperature of a unit mass of a substance by one degree
Looking at the specific heat of each substance suggested we see that the fruit juice has a higher specific heat capacity than others this is because it contains a higher amount of water , generally liquid states of substances have a higher specific heat capacity than other states. The specific heat capacity of fruit juice being the highest among the suggested substances means that it can absorb more heat for each degree temperature of refrigerator.