Q2 : Water waves in a shallow dish are 6cm long. At one point water moves up and down at a rate of 4.8 oscillation per second. What is the speed of water waves? What is the period of water waves? What is the frequency of water waves?
Answer:
v = 0.3 ms⁻¹
Frequency = 4.8 Hz
T = 0.21 sec
Explanation:
The rate of oscillation is 4.8 oscillation/second
Let's see frequency's definition " no. of vibration/oscillation per unit time"
So,
Frequency = 4.8 Hz
Now
Time period is the reciprocal of frequency
T = 1/f
T = 1/4.8
T = 0.21 sec
Now
Using formula
v = f λ
f = 4.8 Hz , λ = 6 cm (But we need to convert it in a standard form)
So, λ = 0.06 m
Putting in formula
v = (4.8)(0.06)
v = 0.3 ms⁻¹
Q1: A step-up transformer has 80 turns on its primary coil and 1200 turns on its secondary coil. The
primary circuit is supplied with an alternating current at 120 V.
a) What voltage is being applied across the secondary circuit?
b) The current in the secondary circuit is 2.0 A. What current is in the primary circuit?
c) What are the power input and output of the transformer?
Answer:
a. 1.8 kV b. 30 A c. power input = 3.6 kW, power output = 3.6 kW
Explanation:
a. Since turns ratio N₁/N₂ = V₁/V₂ where N₁ = number of turns of primary coil = 80 turns, N₂ = number of turns of secondary coil = 1200 turns, V₁ = voltage in primary circuit = 120 V and V₂ = voltage in secondary circuit = unknown
So, V₂ = N₂V₁/N₁
= 1200 × 120 V/80
= 1800 V
= 1.8 kV
b. Also, N₁/N₂ = I₂/I₁ where I₁ = current in primary circuit = unknown and I₂ = current in secondary circuit = 2.0 A
So, I₁ = N₂I₂/N₁
= 1200 × 2.0 A/80
= 30 A
c. The power input of the transformer P₁ = I₁V₁
= 30 A × 120 V
= 3600 W
= 3.6 kW
The power output of the transformer P₂ = I₂V₂
= 2 A × 1800 V
= 3600 W
= 3.6 kW
a) The voltage applied across the secondary circuit is 1.8 kV
b) The current in the primary circuit is 30 A
c) The power input and output of the transformer are 3.6 kW and 3.6 kW.
What is transformer?A transformer transfers electric energy from one AC circuit to one or more other circuits, either stepping up or stepping down the voltage.
a) Turns ratio N₁/N₂ = V₁/V₂ where N₁ = number of turns of primary coil = 80 turns, N₂ = number of turns of secondary coil = 1200 turns, V₁ = voltage in primary circuit = 120 V
Substitute the values and we get the voltage in secondary circuit is
V₂ = N₂V₁/N₁
V₂ = 1200 × 120 V/80
V₂ = 1800 V
V₂ = 1.8 kV
Thus, the voltage applied across the secondary circuit is 1.8 kV
b) Turn ratio also represented as N₁/N₂ = I₂/I₁ where I₂ is the current in secondary circuit = 2.0 A
Put the values, we have current in primary circuit is
I₁ = N₂I₂/N₁
I₁ = 1200 × 2.0 A/80
I₁ = 30 A
Thus, the current in the primary circuit is 30 A
c) The power input of the transformer P₁ = I₁V₁
P₁ = 30 A × 120 V
P₁ = 3600 W
P₁ = 3.6 kW
The power output of the transformer P₂ = I₂V₂
P₂= 2 A × 1800 V
P₂= 3600 W
P₂= 3.6 kW
The power input and output of the transformer are 3.6 kW and 3.6 kW.
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Julie is cycling at a speed of 3.4 meters/second. If the combined mass of the bicycle and Julie is 30 kilograms, what is the kinetic energy?
A.
1.7 × 102 joules
B.
1.5 × 102 joules
C.
2.0 × 102 joules
D.
2.2 × 102 joules
Answer:
A
Explanation:
KE = 1/2 mv^2
=1/2(30kg)( 3.4 m/s)^2
=173.4 joules
=1.7×10^2 joules
an ice cube of density 0.9g/cm3floats in fresh water of density 1g/cm³ what fraction of volume of ice is submerged?
Answer:
9/10
Explanation:
From Archimedes' principle, the buoyant force on the ice equals the weight of water displaced. Since the buoyant force equals the weight of the ice. then
ρ₁V₁g = ρ₂V₂g where ρ₁ = density of ice = 0.9 g/cm³ and V₁ = volume of ice and ρ₂ = density of water = 1 g/cm³ and V₂ = volume of water.
So. ρ₁V₁ = ρ₂V₂
V₁ = ρ₂V₂/ρ₁
= 1 g/cm³V₂/0.9 g/cm³ = 10V₂/9
Now, let x be the fraction of volume of ice submerged. So V = xV₁ = volume submerged. This volume also equals the volume of water since the submerged ice displaces its own volume of water.
So V = V₂
xV₁ = V₂
x(10V₂/9) = V₂
10x/9 = 1
x = 9/10
A 1.2 m steel rod moves through a uniform magnetic field of 0.020 T at 30 m/s. What emfis induced between the two ends of the steel rod?
0.36 V
0.50 V
0.60 V
0.72 V
Answer:
0.50v
Explanation:
Now EMF is induced when there is motion of a conductor in an electric field. Michael Faraday in the annals of scientific history discovered this.
This is expressed mathematically as;
E = Magnetic field / t
but t = d/ v; d- distance, v-velocity, time
Hence E = magnetic field/ d/v
= Magnetic field× v/ d
= 0.02×30/ 1.2= 0.5
drawing is a form of
Answer:
visual art in which one uses to mark drawing and express feelings
Explanation:
In my own opinion. Hope it helps.
Jess wants to make her house more energy efficient. She has two options, A or B. Option A is double-glazing her patio doors, which will cost £350 and save £15 per year. Option B is insulating her loft, which will cost £460 and save £25 per year. Is option A or option B the better long-term option?
Jess wants to make her house more energy efficient. Insulating her loft, which will cost £460 and save £25 per year, is better long-term option. Therefore, option B is correct.
What is energy ?In order to accomplish work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is the quantitative attribute that does this. Energy is a preserved resource; according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.
Computers, vehicles, communications, state-of-the-art medical technology, and many other things are all powered by energy. The demand for dependable and economical energy is especially pressing for emerging countries. It may enhance things or perhaps save lives.
A turbine generator set transforms mechanical energy into electrical energy to produce electricity. Natural gas, coal, nuclear fission, biomass, petroleum, geothermal, and solar thermal are examples of energy sources where the heat generated is used to produce steam.
Thus, option B is correct.
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A piano with a mass of 130 kg is lifted 10m above the ground in 5 s by a crane.
What is the power used by the crane
[tex]power = 2548 \: watt \\ solution \\ mass = 130 \: kg \\ distance = 10m \\ time = 5 \: sec \\ power = \frac{w}{t} \\ \: \: \: \: \: \: \: \: \: \: = \frac{f \times d}{t} \\ \: \: \: \: \: \: \: \: = \: \frac{m \times g \times d}{t} \\ \: \: \: \: \: \: \: \: \: = \frac{130 \times 9.8 \times 10}{5} \\ \: \: \: \: \: \: \: \: = \frac{12740}{5} \\ \: \: \: \: \: = 2548 \: watt \\ hope \: it \: helps[/tex]
Question 1 of 25
2 Points
What is the kinetic energy of a 5-kg cat chasing a mouse across the yard at 2
m/s?
A. 98 J
B. 10 J
C. 2J
D. 20 J
SUBMIT
Explanation:
K = 5kg[tex](2 m/s)^{2}[/tex]/2 = 10 J
A 2 kg billiard green ball is moving toward the 2 kg white billiard ball on a pool table. The green ball is moving with an initial speed of 4 m/s and the white ball is at rest. The two balls collide and move apart. The white ball moves away from the green ball with a speed of -6 m/s. With what speed does the green ball move away?
Answer:
10m/s
Explanation:
collisions results in objects sticking together or not sticking together after collision and so they do move with a common velocity or uncommon velocity respectively.
Parameters from the question:
Mass of green billiard balls, m1=2kg
Mass of white billiard balls, m2=2kg
Initial velocity for green billiard balls ,u1=4m/s
Initial velocity for white billiard balls ,u2 = 0m/s( since the body is at rest meaning it wasn't moving)
Final velocity of green billiard ball after collision is,v1= unknown
Final velocity of white green billiard ball after collision is, V2 = -6m/s.
Now from Newton's third law of motion that action and reaction must be equal and opposite;hence change in momentum before collision would be the same after collision since energy is conserved.
Hence,
m1U1 + m2U2 = m1V1 +m2V2
2×4 + 2×0 = 2×V1 + 2× (-6)
8 = 2V1 -12
8+12=2V1
20=2V1
10=V1
V1=10m/s
A scanning tunneling microscope is used to measure small changes in height of a surface by detecting changes in the tunneling current between the tip and the surface. The current is proportional to the tunneling coefficient (ie. I = const * T) which follows the general equation for tunneling through a square well , with C dependent on the molecule and L is the distance. The transmission coefficient at one point is T = 0.01, what is the relative current if the distance is increased from L to 5L? We are interested in I(5L)/I(L). (Note: there may be more information provided than you need to solve the problem.)
Answer:
[tex]\mathbf{\dfrac{I(5l)}{I(l) } =10^{-8}}[/tex]
Explanation:
We are being told that the current is proportional to the tunneling coefficient[tex]I(l) = I_0 e^{-2kl}[/tex] ;
where l = distance between the tip and the surface.
Let [tex]I(l) = I_0 e^{-2kl}[/tex] ------------ equation (1)
and [tex]I(5l) = I_0 e^{-2k(5l)}[/tex] ------------ equation (2)
Dividing equation (2) by (1); we have :
[tex]\dfrac{I(5l)}{I(l) } = \dfrac{I_0 e^{-2k(5l)}}{ I_0 e^{-2kl}}[/tex]
[tex]\dfrac{I(5l)}{I(l) } =e^{-2k(5-1)l}[/tex]
[tex]\dfrac{I(5l)}{I(l) } =(e^{-2kl})^4[/tex]
where ;
[tex](e^{-2kl})[/tex] represents the transmission coefficient T = 0.01
Thus; replacing the value for 0.01;we have;
[tex]\dfrac{I(5l)}{I(l) } =0.01^4[/tex]
[tex]\mathbf{\dfrac{I(5l)}{I(l) } =10^{-8}}[/tex]
Diagram shows the heating
curve for 0.5 kg heated by a
100 W immersion heater. What
is the specific heat capacity of
the liquid?
Answer: 35
Explanation:
Given the following :
M = 0.5 kg
Power of heater = 100W
From the graph ;
Time (t) = 7seconds
Change in temperature(Dt) = t2 - t1
Where t2 = 70°C, t1 = 30°C
Dt = (70 - 30)°C = 40°C
Recall Q = iVt
IV = power
Q = mcDt
c = specific heat capacity of liquid
mcDt = ivt
mcDt = power × t
0.5 × c × 40°C = 100 × 7
20°C × c = 700 J
c = 700 J/ 20°C
c = 35 J / kg°C
A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds. What
is the acceleration?
-13 m/s
-6 m/s²
6mis?
13 m/s2
Acceleration = (change in speed) / (time for the change)
Change in speed = (speed after the change) - (speed before the change)
Change in speed = (65 m/s) - (35 m/s) = 30 m/s
Acceleration = (30 m/s) / (5 s)
Acceleration = 6 m/s²
True or false. When populations do not exceed their environment carrying capacity biology communities are stable?
Answer:
True
Explanation:
would iron and carbon from metallic bonds
Answer:
NO
Explanation:
Since iron is a metal and carbon is a non- metal, they cannot form a metallic bond.
HELLO PLZ HELP
Write the properties of brake fluid
Answer:
Explanation:
If you look at the chemistry behind most brake fluid, it comes from the combination of various types of glycols, which are basically a mixture of non-petroleum and other alcohol-based fluids. After a mixing process, the chemical name gets shortened to “polyglycol”. In addition, there are also high-grade silicone-based fluids, which cannot be mixed with any other type of fluid. So whether it's used in the brake or clutch system, it's important to understand the differences between these common types of brake fluid.
The brake fluid must maintain specific properties. Our brakes can get hot, sometimes up to 1200 degrees, so the fluid needs a high boiling point. Also, because our vehicles experience seasons just as we do, it’s important to have low freezing point as well. On top of maintaining both extremes, it's designed not to damage any rubber components in the brake system.
As a result, the chemical properties found in most brake fluids can permanently dull or damage paint. So be sure to handle with care and be quick to clean any accidental overspills. Brake fluid is hydroscopic, meaning it has a natural tendency to absorb moisture. And over enough time the added moisture can result in corrosion build up or a decreased boiling point. It’s never a bad idea to change your brake fluid every couple of years and try not to leave your reservoir cap off any longer than needed
Answer: high operation temperatures, good low-temperature and viscosity-temperature properties, physical and chemical stability, protection of metals from corrosion, inactivity with respect to mechanical rubber articles, and lubricating effect
Hope this helps
HELLO , PLZ HELP .
A diver is 20 m below the surface of the water in a dam. If the density of a water is 1000 kg/m3, determine the pressure due to the water on the diver. (Take g= 10 N/kg)
Answer:
the pressure due to the water on the diver is 200,000 pascal
pressure = height × density × acceleration due to gravity
p = 20×1000×10
p=200,000 pascal
can someone help what are the common branches of physics
Answer: Dear Buddy ,the common brnches os physics are given below:
Explanation:
Mechanics
Classical physics
Modern physics
Thermodynamics
Electricity
Magnetism
Geo physics
Plasma physics
Optics
Sound and oscillation
Electronics
Chemical physics
Engineering physics
Solid state physics
Quantum physics
Nuclear physics
Particle physics
Bio physics
Astrophysics
Condensed matter physics
hope it helps
Answer:
Engineering is one of branches that uses physics mainly the most
Explanation:
as for engineering requires mathematics and physics principles in their everyday routine to calculate and measure accordingly to manufactur a product.
Why will a delivery truck filled with birds sitting on its floor be heavier than a truck with the same birds flying around inside.
The reason why a delivery truck filled with birds sitting on the floor be heavier than a truck with the same birds flying around is because when the birds are sitting on the floor, they are adding their weight to the truck.
Meanwhile, if the birds are flying around they aren't resting on the truck or touching it, so therefore their weight wouldn't be added to the truck.
The mass of the truck will remain the same as you cannot change the mass but the weight will vary depending on the items and objects placed in it.
Which of the following is equal to an impulse of 9 units?
A. Force = 5, time = 2
B. Force = 1, time = 8.5
C. Force = 2, time = 4.5
D. Force = 3, time = 2
Answer: C. (Force = 2, time = 4.5)
Explanation:
J = FΔt
A. J = 5*2
A. J = 10
B. J = 1*8.5
B. J = 8.5
C. J = 2*4.5
C. J = 9
D. J = 3*2
D. J = 6
Answer:
C. (Force = 2, time = 4.5)
The velocity and acceleration of a body are 90km/hr and 2m/s^2 respectively. find the distance travelled by it in half minute.
Answer:
1,650 meters
Explanation:
Start by converting the velocity to m/s. There are 3600 seconds in a minute and 1000 meters in a kilometer, so 90km/hr=25m/s. Half a minute is 30 seconds, so:
[tex]d=v_ot+\dfrac{1}{2}at^2 \\\\d=(25)(30)+\dfrac{1}{2}(2)(30)^2 \\\\d=750+900=1650m[/tex]
Hope this helps!
In a circuit, energy is transferred to a charge.
Where is this energy transferred from?
Answer:
Electric current.
Explanation:
The energy result from electric current resulting from potential differences between terminals which form an Electric circuit. This energy could come from different sources like chemical, wind, light
An electric circuit is one where there is movement of electrons;this electrons acquire charge which is energy. The electrons flow due to a potential difference; you have heard water flows from a higher position to a lower one freely. The highest height is said to be at higher potential and the lower point low potential.
So it's the same with electrons.
The formular for energy on charge is Q= I × t where I is electric current and t is time.
Which objects would sink in honey, which has a density of 1.4 g/cm³? Check all that apply.
Answer:
any object that has density more than 1.4
Explanation:
The object that has density more than 1.4 is denser than the honey
what is an atomic nucleus?
It is basically a very tiny region centering around protons and neutrons in the center of a atom
A 1.00 kg block of ice, at -25.0°C, is warmed by 35 kJ of energy. What is the final temperature of the ice?
Answer:
-8.4°C
Explanation:
From the principle of heat capacity.
The heat sustain by an object is given as;
H = m× c× (T2-T1)
Where H is heat transferred
m is mass of substance
T2-T1 is the temperature change from starting to final temperature T2.
c- is the specific heat capacity of ice .
Note : specific heat capacity is an intrinsic capacity of a substance which is the energy substained on a unit mass of a substance on a unit temperature change.
Hence ; 35= 1× c× ( T2-(-25))
35= c× ( T2+25)
35 =2.108×( T2+25)
( T2+25)= 35/2.108= 16.60°{ approximated to 2 decimal place}
T2= 16.60-25= -8.40°C
C, specific heat capacity of ice is =2.108 kJ/kgK{you can google that}
To solve this we must be knowing each and every concept related to energy. Therefore, -8.40°C is the final temperature of the ice.
What is energy?In physics, energy is the capacity to accomplish work. It can be potential, kinetic, temperature, electrical, chemical, radioactive, or in other forms.
There is also heat and work—energy inside the process of being transferred through one body to the other. Energy is always classified according to its type once it has been transmitted. As a result, heat transported could become thermal energy, whereas labor done may emerge as mechanical energy.
H = m× c× (T2-T1)
35= 1× c× ( T2-(-25))
35= c× ( T2+25)
specific heat capacity of ice is =2.108 kJ/kgK
35 =2.108×( T2+25)
( T2+25)= 35/2.108= 16.60°
T2= 16.60-25= -8.40°C
Therefore, -8.40°C is the final temperature of the ice.
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Two forces oppose each other while a star is stable. The first is gravity pulling inward. What is the
other force?
Answer:
the radiation pressure that has to push the star
Explanation:
In the stars there are two forces that act in the opposite direction.
- On the one hand there is the force of gravity that the star has to collapse
- On the other is the radiation pressure that has to push the star. This pressure comes from the radiation and velocity of the particles involved in nuclear reactions.
A force acting on a body of mass 200g displace it through 200cm in 5s. Find the magnitude of the force if the initial velocity of is Zero
Answer:
F = 0.32 N
Explanation:
GIVEN:
Mass = m = 200 g = 0.2 kg
Distance = S = 200 cm = 2 m
Time = t = 5 s
Initial velocity = U = 0 m/s
REQUIRED
Force = F = ?
SOLUTION
Using Second Equation of Motion,
S = Ut + 1/2 at²
2 = (0)(5) + 1/2 a(5)²
2 = 25/2 a
a = 4/25
a = 0.16 m/s²
So,
Acceleration = a = 0.16 m/s²
Now Using Equation from Newtons Second Law of Motion
F = ma
F = (2)(0.16)
F = 0.32 N
2Objects 1 and 2 attract each other with a electrostatic force of 18.0 units. If the charge of Object 1 is one-fourth the original value AND the charge of object 2 is tripled AND the distance separating Objects 1 and 2 is halved, then the new electrostatic force will be _____ units.
Answer:
The new force becomes 3 times of the initial force.
Explanation:
Let q₁ and q₂ are two charged particles. The force between them is given by :
[tex]F=\dfrac{kq_1q_2}{r^2}\ ......(1)[/tex]
If [tex]q_1'=\dfrac{q_1}{4}[/tex]
and
[tex]q_2'=3q_2[/tex]
Also, r' = r/2
New force,
[tex]F'=\dfrac{kq_1'q_2'}{r'^2}[/tex]
Putting all the above values,
[tex]F'=\dfrac{k\dfrac{q_1}{4}3q_2}{(r/2)^2}\\\\F'=3\times \dfrac{kq_1q_2}{r^2}\\\\F'=3F[/tex]
So, the new force becomes 3 times of the initial force.
The power of a machine is 6000 W. This machine is scheduled for design improvements. Engineers have reduced the
time for the output by one half from 15 s to 7.5 s. What work would be required to cut the time in half.
Step #1
Step #2
Step #3
Explanation:
Work = power × time
W = (6000 W) (7.5 s)
W = 45,000 J
A water distiller which is used to purify water. The distiller boils water and then condenses most of the water vapour back to water. (a) The water distiller is filled with 5.0 kg of water at 20 °C The specific heat capacity of water = 4 200 J/Kg °C Calculate the energy needed to raise the temperature of the water to 100 °C ___________________________________________________________________
Answer:
Energy needed 1680kJExplanation:
The quantity of heat required to raise the temperature of water to 100 degrees is expressed as
[tex]Q= mc(T2-T1)[/tex]
Given data
mass of water = 5kg
initial temperature T1= 20 °C
final temperature T2= 100 °C
Specific heat capacity of water= 4 200 J/Kg °C
[tex]Q= 5* 4 200(100-20)\\Q= 21000(80)\\Q= 1680000\\Q= 1680kJ[/tex]