Answer:
I = 1.5*10⁻³ kg*m²
Explanation:
It can be showed that the moment of inertia (or rotational inertia) for a uniform cylinder of mass m and radius r, respect an longitudinal axis going through its center (parallel to the height of the cylinder) can be written as follows:[tex]I = \frac{1}{2}*m*r^{2} = \frac{1}{2}*0.400 kg*(0.0865m)^{2} = 1.5e-3 kg*m2[/tex]
The greater the change in the speed of light in different media
the greater the angle of
Answer:
the angle at which light bends when it enters a different medium depends on its change in speed. The greater the change in speed, the greater the angle of refraction is. For example, light refracts more when it passes from Air to Diamond then it does when it passes from Air to wate.
Answer: Refraction
Explanation:
Total internal reflection at the air liquid surface is observed for an unknown liquid when the angle of incidence is 43 degrees. What is the index of refraction of this unknown liquid?
a. 0.68
b. 1.0
c. 1.47
d. 1.59
Answer:
c. 1.47
Explanation:
Snell's law states that there exists always a fixed relationship between the index of refraction of two transparent media, and the sines of the incident and refraction angles, as follows:[tex]\frac{n_{i} }{n_{r} } = \frac{sin_{\theta r} }{sin_{\theta i} } (1)[/tex]
When there is a total internal reflection, this means that light can't go across the border between two media, i.e., the refraction angle is 90º, which means that sin θr = 1Since the refraction index for air is 1, i.e. nr =1, this means that (1) , for total internal reflection becomes:[tex]n_{i} = \frac{1}{sin_{\theta i} } = \frac{1}{sin 43} = 1.47 (2)[/tex]
What is the purpose of drawing a motion diagram or a particle
model?
Answer:
What is the purpose of drawing a motion diagram or a particle model? Reason: In a motion diagram or a particle model, we relate the motion of the object with the background, which indicates that relative to the background, only the object is in motion. A coordinate system is helpful when you are describing motion.
Explanation:
The half-life for radioactive decay (a first-order process) is 24,000 years. How many years does it take for one mole of this radioactive material to decay so that just one atom remains?
Answer: it will take 1.9 × 10⁶ yrs for one mole of the radioactive material to decay so that just one atom remains
Explanation:
Given that;
Half life t_1/2 = 24,000 years
initial amount of radio active element = 1 mole
now one mole of a substance has Avagadro number of atoms which is initially 6.023 × 10²³ which are present and finally only 1 atom is left
using the formula
t_1/2 = 0.693/k
In[ N₀/N_t] = kt
N₀ is the initial amount, N_t is the amount left after t time, t is the time, k is the rate constant.
now we substitute
t_1/2 = 0.693/k
k = 0.693/ t_1/2
k = 0.693 / 24,000 years
k = 0.000028875 yr⁻¹
so
In[ N₀/N_t] = kt
t = 1/0.000028875 yr⁻¹ In [ 6.023 × 10²³ / 1 ]
= 34632.0346 In[6.023 × 10²³]
= 34632.0346 × 54.7550
= 1896277.0545 yrs ≈ 1.9 × 10⁶ yrs
Therefore it will take 1.9 × 10⁶ yrs for one mole of the radioactive material to decay so that just one atom remains
A large bagel spins with angular speed w about its center. A smaller bagel spins with triple the angular speed.
How does the period Tlarge of the large bagel compare with the period Tsmall of the small bagel?
Answer:
T large = 3T small
Explanation:
It's just 3 times larger
A 0.50 mº gas tank holds 3.0 moles of ideal monatomic Helium gas at a temperature of 250 K. What is the mms speed of the molecules? (The Boltzmann constant is 1.38 x 10-23 J/K, NA = 6.022 x 1023 molecules/mol.)
Answer:
v = 1247.92 m/s
Explanation:
The formula for kinetic energy is given as follows:
[tex]K.E = \frac{1}{2}mv^2[/tex]
Another formula that is used for Kinetic Energy is given as:
[tex]K.E = \frac{3}{2}KT[/tex]
Comparing both formulae for K.E:
[tex]\frac{1}{2}mv^2 = \frac{3}{2}KT\\\\mv^2 = 3KT\\v = \sqrt{ \frac{3KT}{m}}[/tex]
where,
v = rms speed of helium molecule = ?
K = Boltzmann Constant = 1.38 x 10⁻²³ J/k
T = Absolute Temperature = 250 K
m = mass of helium molecule = 6.646 x 10⁻²⁷ kg
Therefore,
[tex]v = \sqrt{\frac{(3)(1.38\ x\ 10^{-23}\ J/k)(250\ k)}{6.646\ x\ 10^{-27}\ kg}} \\\\[/tex]
v = 1247.92 m/s
A cross-country runner runs 10 miles in 40 minutes. What is their average speed?
Answer:
15mil/hr
Explanation:
To make the average speed in mph, we need to get the 40 minutes to an hour. We multiply 40 minutes by 3/2 to get 60 minutes or an hour.
40 x (3/2) = 60
This means that we need to multiply 10 miles by 3/2:
10 x (3/2) = 15 (we get 15 miles)
Average speed is equal to distance over time.
Average speed is 15mil/hr.
Hope this helps!
A box of mass mis pulled by force Fp at an angle along a frictionless surface. The box accelerates to the night
חס
m
What is the magnitude of the horizontal acceleration?
Answer:
ma / cos theta is the answer you are looking for
A box of mass m is pulled by force Fp at an angle along a frictionless surface and the box accelerates to the right with a magnitude of the horizontal acceleration Fpcosθ/m, therefore the correct option is D.
What is friction?Friction is a type of force that resists or prevents the relative motion of two physical objects when their surfaces come in contact.
The friction force prevents any two surfaces of objects from easily sliding over each other or slipping across one another. It depends upon the force applied to the object.
A box of mass m is pulled by force Fp at an angle along a frictionless surface. The box accelerates to the right
The only horizontal force responsible for the movement of the box is the horizontal component of the force Fp which is Fpcosθ
By using equilibrium of horizontal forces
ΣFh =0
ma= Fpcosθ
a =Fpcosθ/m
The magnitude of the horizontal acceleration is Fpcosθ/m,therefore the correct option is D.
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weight of Ali is 500andN.he is standing on the ground with an area of 0.025 m^2 area .we can find pressure under his feet. what is it?
Answer:
20000 Pa
Explanation:
Pressure is defined as the force per unit area.
Mathematically : P =F/A where F is force and A is area
Force = 500 N
Area= 0.025 m²
P= 500/0.025
P= 20000 Pa
a car is initially at rest. ten seconds later it is moving 30 m/s. what is the car's acceleration
Answer:
The car's acceleration is [tex]3\ m/s^2[/tex]
Explanation:
Constant Acceleration Motion
It's a type of motion in which the velocity of an object changes uniformly over time.
The final speed is given by:
[tex]v_f=v_o+at[/tex]
Where a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:
Using the equation above we can solve for a:
[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]
The car is initially at rest (vo=0) and t=10 seconds later it's moving at vf=30 m/s, thus its acceleration is:
[tex]\displaystyle a=\frac{30-0}{10}[/tex]
[tex]\displaystyle a=\frac{30}{10}=3[/tex]
[tex]a = 3\ m/s^2[/tex]
The car's acceleration is [tex]3\ m/s^2[/tex]
A block of iron at 33.0°C has mass 2.30 kg. If 3.50×104 J of heat are transferred to the block, what is its resulting temperature?
Answer:
66.8°C
Explanation:
dQ = m*cp*dT where:
m = mass of block
cp = specific heat of iron
dT = temperature change
-------
dQ = 3.5 10^4 J
cp = 0.45 Kj / Kg = 450 J / Kg
3.5 10^4 = 2.3 * 450 * dt-----dt = 35000 / 450 * 2.3 = 33.8 °
-------
Final temperature = 33 + 33.8 = 66.8 °C
If the amplitude of a simple harmonic oscillator is doubled, by what multiplicative factor does the angular frequency change?
Answer:
No change
Explanation:
In a simple harmonic motion, we have that
y = A sin(wt), where
w is the said angular frequency
The angular frequency w, is given as √(k/m)
If the amplitude, A is doubled it will have no corresponding effect on the angular frequency, w, because they do not depend on each other. A is independent of w, and w is independent of A. And as such, no matter the change in either, it doesn't affect the other
a half meter ruler is pivoted at its midpoint and balances whaen a weight of 20N is placed at the 10 cm mark and a weight W is placed at the 45 cm mark on the ruleer. Calculate the weight W
The weight W palced at a distance of 45 cm on a half meter ruler pivote at its midpoint is 15 N.
To calculate the weight W, we use the principle of moment.
Principle of moment?It states that, if a body is at equilibrium, the sum of clockwise moment is equal to the sum of anticlockwise moment.
From the question,
Clockwise moment (F×d ) = Anticlockwise moment (W×D).......... Equation1
Make W the subject of the equation
W = Fd/D............. Equation 2Given:
F = 20 Nd = (25-10) = 15 cm = 0.15 mD = (45-25) = 20 cm = 0.2 mSubstitute these values into equation 2
W = 20×0.15/0.2W = 15 NHence, the weight W is 15 N
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Solve this question
If the object of mass 30 kg is accelerating at 3 m/s2, What is the net force acting on the object?
3 N
10 N
30 N
900 N
Answer:
Force = Mass × Acceleration
F = MA
F = 30kg × 3ms^-2
F = 90 N
A light wave passes through an aperture (that is, a narrow slit). When it does so, the degree to which the wave spreads out will be...
Explanation:
Single slit diffraction
Diffraction is the phenomenon of spreading out of waves as they pass through an aperture or around objects. Diffraction occurs when the size of the aperture or obstacle is of the same order of magnitude as the wavelength of the incident wave. For very small aperture sizes, the vast majority of the wave is blocked. in case of large apertures the wave passes by or through the obstacle without any significant diffraction.
Light travels about 180 million kilometers in 10 minutes. How far does it travel in 1 minute? How far does it travel in 1 second? Show your reasoning
I need help
Explanation:
180 million km = 10 min
? = 1 min
180 million x 10 = 1,800,000,000 km
180 million km = 600s
? = l s
108,000,000,000km
drag and drop the sentences under the categories they belong to.
CLAIM
EVIDENCE
REASON
1. Yogurt is high in calcium and vitamins.
2.Yogurt is good for you.
3. Mondays are the best day of the week.
4. Cheetahs can run up to 70 mph
5. Cheetahs are the fastest animal.
6. Because yogurt is high in calcium and vitamins, it is good for you.
7.The majority of people prefer Mondays to other days of the week.
8. Because most people like Mondays, they're the best day of the week.
9. Because cheetahs can run up to 70 mph, they are the fastest animal.
calculate the load placed 10m from the fulcrum that can be balanced by an effort of 5 N applied at a distance of 4 m from the fulcrum in a lever
Answer:
A = 2 m from fulcrum
Explanation:
Product of anti clockwise = Product of clockwise moment
5 × 4 = 10 × A
20 = 10 x A
A = 20 / 10
A = 2 m from fulcrum
If a marble is dropped from a cliff, how fast is the marble going after falling for 3.6 seconds?
PLEEEEAAASSSEEEEEE HELPPPP MEEEE>
Answer:
35.28m/s
Explanation:
Given
Time t = 3.6secs
Required
Final speed v
Using the equation of motion;
v = u + gt
Substitute;
v = 0 + 9.8(3.6)
v = 0 + 35.28
v = 35.28m/s
Hence the speed of the marble is 35.28m/s
As shown in the figure below, April enters a race. She runs leftward 100 m to her horse, then she rides 500 m
to her truck, then she drives 1000 m in a total time of 120 s.
1000 m
500 m
100 m
What is April's average speed over the 120 s period?
m
Answer:
13.33m/s
Explanation:
The average velocity is the ratio of total distance traveled to the total time taken to complete the distance. The International System of Units (SI) unit of velocity is the meter per second (m/s). The Velocity is given by the equation:
Velocity = total distance traveled / total time taken
The total distance traveled = Distance traveled by horse + distance traveled by truck + remaining distance traveled = 100 m + 500 m + 1000 m = 1600 m
Total time taken = 120 s
Velocity = total distance traveled / total time taken = 1600 m / 120 s = 13.33 m/s
Velocity = 13.33 m/s
The activity of mining has direct negative effects on
a. atmosphere
b.hydrosphere
c.biosphere
d.geosphere
Answer:
A
Explanation:
When coal is burned it releases many harmful chemicals into the air, such as methane (greenhouse gas) and contributes to global warming
A rock is at the top og a 20 meter tall hill. The rock has a mass of 10 kg. How much potential energy does it have
Answer:
1962 joules
Explanation:
m = 10 kg
h = 20 m
g = 9.81 ms^-2
PE = ?
PE = MGH
PE = 10 x 9.81 x 20
PE = 1962 joules
What is the equivalent resistance of the circuit
120.0 V
10.00 Ω
30,0 Ω
20.0 Ω
The equivalent resistance of the circuit20.0 Ω
The equivalent resistance is where the aggregate resistance connected either in parallel or series is calculated. Essentially, the circuit is designed either in Series or Parallel.
In a series circuit, the equivalent resistance is the algebraic sum of the resistances. The current through the circuit can be found from Ohm's law and is equal to the voltage divided by the equivalent resistance.
Resistors are in parallel when one end of all the resistors are connected by a continuous wire of negligible resistance and the other end of all the resistors are also connected to one another through a continuous wire of negligible resistance
The equivalent resistance is 20 OHM
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7. A monkey freefalls for 17.5 seconds. (a) What was the velocity after this time? (b) How far did it fall?
Answer:
a ) Vf = 171.7 [m/s]
b) y = 1502.6[m]
Explanation:
a) To solve this problem we must use the following equation of kinematics.
[tex]v_{f}=v_{o}+g*t[/tex]
where:
Vf = final velocity [m/s]
Vo = initial velocity = 0 (freefall, without initial velocity)
g = gravity acceleration = 9.81 [m/s²]
t = time = 17.5 [s]
Now replacing:
[tex]v_{f} = 0 + 9.81*17.5\\v_{f} = 171.7[m/s][/tex]
Note: The gravity acceleration is positive, since the monkey is moving in the direction of the gravity acceleration.
b)
Now using another equation of kinematics we can calculate the distance traveled.
[tex]v_{f}^{2}=v_{o}^{2}+2*g*y[/tex]
where:
y = distance traveled [m]
[tex]171.7^{2}=0 +2*9.81*y\\y=29480.9/(2*9.81)\\y=1502.6[m][/tex]
What happens to the pressure of a gas in a closed container if you double its volume while its temperature is held constant?
Answer:
This question lacks options, the options are:
A) It would increase by a factor of four.
B) It would decrease by a factor of four.
C) It would be halved.
D) It would be doubled.
E) It would not change.
The answer is C
Explanation:
The relationship between the pressure and volume has been explained by BOYLE in his law. Boyle's law states that, at a constant temperature, the volume is inversely proportional to the pressure of a gas. This means that as the VOLUME INCREASES, the PRESSURE DECREASES and vice versa.
P ∝ 1/V or V ∝ 1/P
Hence, based on this explanation, when the volume of a gas in a closed container is doubleb, its pressure will be reduced by half i.e. 1/2. In other words, the pressure will be HALVED.
The amount of inertia of an object depends on its __________________________________.
The greater the ________________________________, the greater its _______________________________.
The greater the _____________________________ of the object, the greater the ___________________________
required to accelerate or slow down the object.
The greater the ____________________________ applied, the greater the acceleration.
Answer:
first one :
the object will stay at the same speed and direction unless it is acted upon by an internal unbalanced force.
A small plane starts from rest and accelerates uniformly to the east to a takeoff velocity of 70 m/s in 5 seconds. What is the plane’s acceleration?
Please help!
The acceleration of the plane after 5 seconds will be 14 m/s².
What is acceleration?The rate of change of velocity with respect to time is called acceleration. Mathematically -
a = Δv/Δt
Given is a small plane that starts from rest and accelerates uniformly to the east to a takeoff velocity of 70 m/s in 5 seconds.
The acceleration of the body can be calculated as follows -
a = Δv/Δt
a = (70 - 0)/(5 - 0)
a = 70/5
a = 14 m/s²
Therefore, the acceleration of the plane after 5 seconds will be 14 m/s².
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You witness the birth of a littler of puppies.Where were the atoms that make up these puppies come from? How did these atoms form?
Answer:
The atoms come from the mother; it can be comprimised of its diet, nutrience within, and other enzymes within the canine body. According to the law of conservation of matter, they are transformed by never destroyed or created so they must have come from inside or outside in the kother's environment.
Hope this helps.
If a vehicle is traveling at constant velocity and then comes to a sudden stop, has it undergone negative acceleration or positive acceleration? Explain your answer
Answer:
Negative acceleration
Explanation:
Let us assume a vehicle is moving with a constant velocity u and then it comes to a sudden stop.
The initial velocity of the vehicle is u and finally it comes to rest, it means final velocity is 0.
As we know that,
Acceleration is equal to change in velocity divided by time taken.
[tex]a=\dfrac{v-u}{t}\\\\\text{Put v=0}\\\\a=\dfrac{-u}{t}[/tex]
We can see that the value of acceleration is negative. Hence, it leads to negative acceleration.