Answer:
500 / 31.25 = 16
(1/2)^n = 1/16 where n is the number of elapsed half-lives
(1/2)^4 = 1/16 so the sample has gone thru 4 half-lives
43 min * 4 = 172 min = 2.87 hrs
What is the difference between velocity and time
Answer:
velocity is the speed of something in a particular direction while time is what is measured in hours , minutes and seconds
the 20 kg wheel has a radius of gyration about its center G of kG = 300 mm. When it is subjected to a couple moment of M = 50 N # m, it rolls without slipping. Determine the angular velocity of the wheel after its mass center G has traveled through a distance of sG = 20 m, starting from rests.
The angular velocity of the wheel after its mass center G has traveled through a distance starting from rests is 31.62 m.
What is angular velocity?The velocity of an object when moving on a circular track.
The moment of inertia of the wheel about the center O is
I = mk²
Where radius of gyration k= 300mm =0.3 m and mass of wheel m =30kg
I = 20 x (0.3)² = 1.8 kg.m²
The final kinetic energy of wheel is
K.Ef = 1/2 x mx (rω²) + 1/2 x I x ω²
Substitute the values from the question, we have
K.Ef = 1/2 x 20 x (0.4 x ω²) +1/2 x 1.8 x ω² =2.5ω²
The initial kinetic energy is zero, K.Ei =0
According to the work energy theorem, W =K.Ef -K.Ei =2.5ω² ...............(1)
Work done = moment x angular displacement
W = 50 N.m x 20m/0.4m = 2500 N.m............(2)
Equating both the equations and solving for ω, we get
ω =31.62 rad
Thus, the angular velocity is 31.62 rad.
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The driver of a car moving with a constant speed applies the breaks, and the car comes to a stop after traveling 3.5 meters. Which force causes the deceleration of the car?
Answer:
Friction is the resistive force. when a driver applies brakes, the wheels stop rotating and there is friction between the tyres and the rough surface of the road. (but if you ask why it moves 3.5 m after braking, that is due to the intertia of the moving car)
Why is fair play essential in sports?
Answer: Fair play, which is an essential and central part of successful involvement, promotion and development in both sport and life, can teach people tolerance and respect for others.
Explanation:
It allows them to integrate into society and create a sense of teamwork.
two lenses are combined together . if the power of one of the lenses is +5D and combined focal length is 0.4m.What is the power of the second lens
Answer:
-0.4D(maybe)
Explanation:
combined focal length (f)= 0.4m
D1 = 5D
Then f1= 1/D1
= 1/5 = 0.2 m
1/f=1/f1+1/f2
1/0.4=1/0.2+1/f2
f2= -5/2
D2=1/f2= -0.4D
What is the energy required to start a chemical reaction called
Show work for either one thanks
The maximum velocity of the pendulum is determined as 3.03 m/s.
Maximum velocity of the pendulum
The maximum velocity of the pendulum is calculated from the principle of conservation of energy as shown below;
K.E = P.E
¹/₂mv² = mgh
v² = 2gh
v = √2gh
where;
h is the maximum height = 0.468 mv is the maximum velocityv = √(2 x 9.8 x 0.468)
v = 3.03 m/s
Thus, the maximum velocity of the pendulum is determined as 3.03 m/s.
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Navigation is the art of measuring distances in order to be able to __________.
Navigation is the art of measuring distances in order to be able to get from one place to another
Please answer this I need help
PLSS HELP AND I WILL GIVE BRAINLY TO THE ONE WHO ANSWERS CORRECTLY
60 J of work is needed to move a charge of 5 C through a wire.
1. What potential difference will do this work?
2. What is the electric current if this charge moves through a wire over time of 1.25 seconds?
3. How long will it take to move 60 C of charge?
4. What is the resistance in the circuit?
5. If the resistance doubles, what will be the new electric current?
The potential difference,electric current ,resistance and new electric current will be 12 V,4 A,3 Ω,2 A.
What is resistance?Resistance is a type of opposition force due to which the flow of current is reduced in the material or wire. Resistance is the enemy of the flow of current.
The energy in terms of the charge and potential difference is;
E= qV
60=5 C × V
V= 12 V
The electric current is found as;
[tex]\rm I= \frac{q}{t} \\\\ I= \frac{5}{1.25}\\\\ I=4 \ A[/tex]
From the ohm's law;
V=IR
12=4 ×R
R=3Ω
If the voltage is constant and the resistance is doubled, then the new electric current is half of the previous condition;
[tex]\rm I'=\frac{I}{2} \\\\ I'=\frac{4}{2} \\\\\ I'=2 \ A[/tex]
Hence, the potential difference,electric current ,resistance and new electric current will be 12 V,4 A,3 Ω,2 A.
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What happens to the atomic number of an atom when the number of neutrons in the nucleus of that atom increases? a It decreases b It increases c It doubles d It remains the same
Answer:
It remains the same
Explanation:
It remains the same. This is because the number of protons doesn't change and the number of protons determines the atomic number.
The current through a wire that is (1.8×10-2 m) long is (3.2 A). The wire is
perpendicular to a (7.5×10-2 T) magnetic field. What is the magnitude of the magnetic
force on the wire?
4.3×10 −3 N
5.8×10 −2 N
1.4×10 −3 N
2.4×10 −2 N
The magnitude of the magnetic force on the wire is determined as 4.32 x 10⁻³ N.
Magnetic force on the wireThe magnitude of magnetic force on the wire is calculated as follows;
F = BIL x sinθ
where;
B is magnetic field
I is currentL is length of the wireθ is angle of inclinationF = (7.5 x 10⁻²) x (3.2) x (1.8 x 10⁻²) x sin(90)
F = 4.32 x 10⁻³ N
Thus, the magnitude of the magnetic force on the wire is determined as 4.32 x 10⁻³ N.
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For the question below which equation should be used?
Answer:
Equation 2
Explanation:
Initial velocity ( Vo ) = 20 m/s
Acceleration ( a ) = 1.1 m/s^2
Distance ( d ) = 55 m
Final velocity ( Vi ) can be found using equation 2
Fossils are remains of organisms found in sedimentary rock. These remains are found in thousands of rock layers around the world and provide evidence for Earth's long history of changing lifeforms.
Rock layers that formed more recently
Answer:
metamorphic rocks
Explanation:
I hope this helps you, I'm sorry if it's wrong!
If it's right please don't forget to mark me as brainliest!
Answer:
the top layers
Explanation:
sedimentary layers are deposited on top of each other over time
Which one of the following statements is not true.
A. Soil is the second layer of Earth's crust.
B. Metals can be extracted from minerals.
C. Oil is made from dead plants and animals.
D. Chemical weathering can break down rocks into fragments.
What happens to the interference fringes if coherent sources is replaced by the headlight of
vehicles?
Answer:
headlight of vehicles use less energy and gives light to very limited area hence electricity can be conserved by doing this
it is possible for an object to maintain constant velocity when only one non-zero force acts on the object. True or false? Explain.
it is possible for an object to maintain constant velocity when three non-zero act on the object. True or false? Explain
Answer:
false
Explanation:
False - For an object to maintain a constant velocity, 0 Newtons of net force (i.e., a balance of forces) is required. i. True - Unbalanced forces cause stationary objects to accelerate from rest. In the absence of an unbalanced force, a stationary object would remain at rest.
What is the time in seconds?
Answer:
5/9 Hz
Explanation:
Period = 1.8 seconds to go through a full cycle
freq = 1/period = 1/ (1.8) = 5/9 Hz
A 4 loop standing wave on a string that is 2 meters long oscialltes at a frequency of 6.7 Hz. What woud be the frequency of the string if it had an 8 loop standing wave pattern?
The frequency of the string if it had an 8 loop standing wave pattern is determined as 13.4 Hz.
Relationship between number of loops and harmonics
The relationship between number of loops and harmonics of the standing wave is given as follows;
1 loop = first harmonic = f₁2 loops = second harmonic = f₂ = 2f₁3 loops = third harmonic = f₃ = 3f₁4 loops = fourth harmonic = f₄ = 4f₁8 loops = eight harmonic = f₈ = 8f₁Frequency of the string if it had an 8 loops standing wave pattern
f₄ = 4f₁
f₁ = f₄/4
f₈ = 8f₁
f₈ = 8(f₄/4)
f₈ = 2f₄
f₈ = 2 x 6.7 Hz
f₈ = 13.4 Hz
Thus, the frequency of the string if it had an 8 loop standing wave pattern is determined as 13.4 Hz.
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d. A student kept a school bag in the floor of bus. When he was getting off the bus the bag was not their but few foots away. What might be the reasons?
Answer:
He had pushed the bag with his leg
Definition for insulator
Answer:
any substance which does not allow the passage of electricity through it is known as insulator
An ecosystem with one dominant type of plant growing in it is a healthy, stable ecosystem. True or false?
If a 370 KG missile is flying at a speed of 220 m/s , then what is it’s kinetic energy
Answer:
8954000 J
Explanation:
The formula to find kinetic energy is:
Kinetic energy = [tex]\frac{1}{2}[/tex] × mass × (velocity)²
So, Kinetic energy = [tex]\frac{1}{2}[/tex] × 370 × (220)²
Kinetic energy = 8954000 J
You and your friend each drive 100.0 km. You travel at 30.0 km/h. Your friend travels at 45 km/h. How long will your friend be waiting for you at the end of the trip?.
Answer:
See below
Explanation:
100 km / 45 km/hr = 2.222 hr
100 km / 30 km/hr =3.3333 hr
Difference = 1.111 hr = 1 hr 6 2/3 min
What is the initial vertical velocity?
Answer:
Thus, any projectile that has an initial vertical velocity of 21.2 m/s and lands 10.0 m below its starting altitude spends 3.79 s in the air.The initial vertical velocity is the vertical component of the initial velocity: v 0 y = v 0 sin θ 0 = ( 30.0 m / s ) sin 45 ° = 21.2 m / s .
please help me with questions 3and 4
q3 - I am not sure, sorry:(
q 4 - Alcoholism is a disease because it not only causes people to become addicted to alcohol, which has many harmful consequences such as heart disease, but it also causes people to relapse when they say they will stop drinking. However, some people who were addicted to alcohol realised during that time that life has a purpose and that being addicted to alcohol will not solve problems. This person's alcoholism inspired them to change their lives and mindsets, as well as to work on their goals, which has led them to accomplish many things in life.For example, celebrity Daniel Radcliffe, 29, acknowledged to using alcohol to cope with the immediate popularity he'd achieved as the lead of the Harry Potter films. Despite enjoying his work, the English actor claims he isolated himself from the public to avoid the constant attention. Radcliffe attributes his ability to get therapy and create new, better coping techniques to his close pals.
State the conditionsfor tge equilibrium of a body which is acted upon by a number of forces
For the summer 5th grade trip, the students
traveled for 90 miles. The trip took 3 hours. What
was the buses' average speed?
Answer:
30 miles/hour
Explanation:
Bus traveled 90 miles and took 3 hours if you take the average per hour it should be around, 30 miles every hour
5. With gears, force is multiplied when the _______________ gear is smaller and has fewer teeth than the _______________ gear.
a) output, input b) input, output
Answer:
b
Explanation:
IF- force you use
OF- force the machine give you
Explain why the water that is used to cool the reactor vessel of a nuclear power plant is kept separate from the water that is heated to produce steam for the turbine generators.
Explanation:
Reasons:
- to separate and
- to avoid formation of electricity.
