Answer:
1. **Position vs. Time Plot and Acceleration**:
To create a position vs. time plot, we can use the data provided. I'll first list the data in a table format:
| t (s) | x (m) |
|-------|-------|
| 0 | 0 |
| 0.05 | 1 |
| 1 | -12 |
| 3 | -40 |
| 5 | -105 |
| 8 | -175 |
| 10 | 15 |
| 22 | -2060 |
| 33 | ??? |
However, there seems to be a discrepancy in the data at t = 10. The position is given as both 15 and -410 -900. Please clarify this point, and I'll calculate the acceleration once we have the correct data.
2. **Estimate Number of Breaths in One Week**:
To estimate the number of breaths a person takes in one week, we can make some assumptions:
- An average person takes about 12-20 breaths per minute at rest.
- Let's assume 15 breaths per minute on average.
- In an hour, that's 15 breaths/minute * 60 minutes/hour = 900 breaths.
- In a day, it's 900 breaths/hour * 24 hours/day = 21,600 breaths.
- In a week (7 days), it's 21,600 breaths/day * 7 days/week = 151,200 breaths in one week.
3. **Narrative of Motion and Calculations**:
I'll need more information about the graph you mentioned for part 3. Could you describe the graph or provide the relevant data or equations related to it? This will allow me to answer parts a, b, c, and d accurately.
Answer:
115 ⁰C
Explanation:
Step 1: The heat needed to melt the solid at its melting point will come from the warmer water sample. This implies
-----eqution 1
where,
is the heat absorbed by the solid at 0⁰C
is the heat absorbed by the liquid at 0⁰C
the heat lost by the warmer water sample
Important equations to be used in solving this problem
, where -----equation 2
q is heat absorbed/lost
m is mass of the sample
c is specific heat of water, = 4.18 J/0⁰C
is change in temperature
Again,
-------equation 3
where,
q is heat absorbed
n is the number of moles of water
tex]\delta {_f_u_s}[/tex] is the molar heat of fusion of water, = 6.01 kJ/mol
Step 2: calculate how many moles of water you have in the 100.0-g sample
Step 3: calculate how much heat is needed to allow the sample to go from solid at 218⁰C to liquid at 0⁰C
This means that equation (1) becomes
79.13 KJ +
Step 4: calculate the final temperature of the water
Substitute in the values; we will have,
79.13 kJ + 990.66J* = -1463J*
Convert the joules to kilo-joules to get
79.13 kJ + 0.99066KJ* = -1.463KJ*
collect like terms,
2.45366 = 283.133
∴ = 115.4 ⁰C
Approximately the final temperature of the mixture is 115 ⁰C
The wavelength of the light passing through the slit is 214 nm.
The wavelength is the distance between identical points in the adjacent cycles of a waveform.
Given that the separation between two slits d is 3.00 × 10^-5 m and the distance from the slit to screen r is 2 m. The distance from the central spot to fringe s is 10.0 m and the bright bands of the spectrum m are 7 for the seventh bright fringe.
The wavelength of the light passing through the slit is calculated as given below.
Hence we can conclude that the wavelength of the light passing through the slit is 214 nm.
To know more about the wavelength, follow the link given below.
To solve this problem, the concepts related to destructive and constructive Interference of light spot and dark spot are necessary.
By definition in the principle of superposition, light interference is defined as
Where,
d = Separation of the two slits
R = Distance from slit to screen
m= Any integer, which represents the repetition of the spectrum. The order of m equal to 1,2,3,4,5 represent bright bands and the order of m equal to 1.5,2.5,3.5 represent the dark bands.
Y = Distance from central spot to fringe.
Re-arrange the equation to find \lambda we have that
Our values are gives according the problem as,
m = 7 (The seventh bright fringe)
R = 2m
Therefore the wavelength of the light passing through the slits is 214nm
Answer:
The force constant of the spring is 735 N/m.
Explanation:
It is given that,
Mass of fruit, m = 1500 g = 1.5 kg
Compression in the scale, x = 0.02 m
We need to find the force constant of the spring on the scale. The force acting on the scale is given by using Hooke's law. So,
Also, F = mg
k is force constant
So, the force constant of the spring is 735 N/m.
Answer:
109.5 million years
Explanation:
The question asked us to find the time.
Remember that
Rate of velocity = distance / time, and this,
time taken = distance/rate
Due to the confusing nature of the units, we would have to be converting them to a more uniform one.
1 km is equal to 9.461*10^12 km/light-year, that's if we try to convert km to light year.
Since the speed is in km, the distance has to be in km also, and therefore, we convert ly to km:
4.5 light-years = 9.461*10^12 km/light-year) = 42.57*10^13 km
We that this value as our distance, in km.
Also,
Time = distance/speed
Time = 45.57*10^13 km / 490 km/hr = 9.3*10^11 hr
Now the next step is to convert hours to years, using the conversion factor 8766 hr/yr.
time (in years) = 9.6*10^11 hr / 8766 hr/yr) = 10.95*10^7 years
the final step is to divide the time in years by 10^6 years/million years, which gives the final answer as the trip takes 109.5 million years.
Answer:
change in entropy is 1.44 kJ/ K
Explanation:
from steam tables
At 150 kPa
specific volume
Vf = 0.001053 m^3/kg
vg = 1.1594 m^3/kg
specific entropy values are
Sf = 1.4337 kJ/kg K
Sfg = 5.789 kJ/kg
initial specific volume is calculated as
FROM STEAM Table
at 200 kPa
specific volume
Vf = 0.001061 m^3/kg
vg = 0.88578 m^3/kg
specific entropy values are
Sf = 1.5302 kJ/kg K
Sfg = 5.5698 kJ/kg
constant volume so
Change in entropy
=3( 3.36035 - 2.88) = 1.44 kJ/kg
The distance the putty-block system compress the spring is 0.15 meter.
Given the following data:
To determine how far (distance) the putty-block system compress the spring:
First of all, we would solver for the initialmomentum of the putty.
Next, we would apply the law of conservation of momentum to find the final velocity of the putty-block system:
Velocity, V = 0.94 m/s
To find the compression distance, we would apply the law of conservation of energy:
x = 0.15 meter
Read more: brainly.com/question/14621920
Answer:
Explanation:
Force constant of spring K = 21 N /m
we shall find the common velocity of putty-block system from law of conservation of momentum .
Initial momentum of putty
= 5.3 x 10⁻² x 8.97
= 47.54 x 10⁻² kg m/s
If common velocity after collision be V
47.54 x 10⁻² = ( 5.3x 10⁻² + .454) x V
V = .937 m/s
If x be compression on hitting the putty
1/2 k x² = 1/2 m V²
21 x² = ( 5.3x 10⁻² + .454) x .937²
x² = .0212
x = .1456 m
14.56 cm