Answer:
Fscos63
Explanation:
Given that a horizontal pole is attached to the side of a building. There is a pivot P at the wall and a chain is connected from the end of the pole to a point higher up the wall. There is a tension force F in the chain. What is the moment of the force F about the pivot P?
Taking the moment from the pivot point P, that means the moment at point p = 0
Then, if we consider the weight mg of the pole, according to the principle of equilibrium : sum of the upward forces equal to the sum of the downward forces.
Therefore, mg = Fsinø ....... (1)
Also, taking moment at point P
Let the length of the pole = s
The length of the weight of the pole = 1/2 S
Fscosø = mgs/2
The distance s will cancel out
2Fcosø = mg ...... (3)
Substitute mg in equation 1 into equation 3
2fcosø = fsinø
F will cancel out
Tanø = 2
Ø = tan^-1(2)
Ø = 63.4 degree
The moment of force F about pivot point P will be
Moment = force × distance
Moment = Fcos63 × S
Moment = Fscos63
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A vector is drawn on an x-y plane. It has a magnitude of 65.1 centimeters and a direction of 28.0 degrees below the positive x-axis. What is the x-component of this vector?
A. 30.6cm
B. 65.1cm
C. 27.1cm
D. 57.5cm
The [x] component will be +57.47 a[x] and the [y] component will be -30.51 a[y].
What are the components of a vector?
Any vector can be resolved along the axes of the cartesian coordinate system. For a two dimensional vector (say [V]), it can be resolved along the
[x] and [y] axis, such that the components of the vector are the vector's themselves and are given by -
[x] component = VcosФ a[x]
[y] component = VsinФ a[y]
Given is a vector is drawn on an X - Y plane. It has a magnitude of 65.1 centimeters and a direction of 28.0 degrees below the positive x-axis.
From the data given, we can write -
Magnitude of vector = |V| = 65.1
Angle made with +x axis = [Ф] =28 degrees {below the axis}
Therefore, the [x] component will be -
[x] = 65.1 x cos(28) = 57.47 a[x]
and the [y] component will be -
[y] = 65.1 x sin(28) = 30.51 × -a[y] = -30.51 a[y]
Therefore, the [x] component will be +57.47 a[x] and the [y] component will be -30.51 a[y].
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The muscle cells of an elephant Zontain 62 chromosomes. How many
chromosomes are in an elephant egg cell?
Answer:
31
Explanation:
In meiosis each sex cell has half the half the number of chromosomes than the parent cell. 62/2=31
Derive Isothermal process through ideal gas.(anyone plzz!!)
Answer:
Hey, bro here is the explanation....
Explanation:
Hope it helps...
What is the potential energy of a 5.0 N weight that is 3 m above the ground
Answer:
[tex]15\:\mathrm{J}[/tex]
Explanation:
The potential energy of an object is given by [tex]PE=mgh[/tex].
Recall that the weight of an object is equal to the force of gravity on the object. From this, we can set up the following equation and solve for the mass of the object:
[tex]F=mg,\\5=mg,\\m=\frac{5}{9.81}\approx 0.51\:\mathrm{kg}[/tex]
Now we can plug in values to [tex]PE=mgh[/tex] and solve:
[tex]PE=0.51\cdot9.81\cdot3=\fbox{$15\:\mathrm{J}$}[/tex].
Answer:
The potential energy of the body is 15J.
Explanation:
What is potential energy?The energy possessed to a body due to position is called Potential energy.
U=mgh
Given data:weight (mg)=5Nheight (h)=3mPotential energy (U)=?by using formulaU=mgh
U=5×3=15J
Hence, the potential energy of the body is 15J.
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what are 3 physical changes of plastic
Answer:
1. Size
2. Shape
3. Color
Explanation:
Sorry if this is no help
A 2-kg ball traveling eastward at 5 m/s hits a 5-kg ball moving at 1 m/s eastward. The 2-kg ball bounces west at 3.0 m/s. What is the speed of the 5kg ball?
Answer:
1.8 m/s
Explanation:
Step one:
given data
m1= 2kg
u1= 5m/s
m2= 5kg
u2= 1m/s
v1= 3m/s
From
m1u1+m2u2= m1v1+m2v2
substitute
2*5+5*1 = 2*3+5*v2
10+5= 6+5v2
15-6= 5v2
9= 5v2
divide both side by 5
v2= 9/5
v2= 1.8 m/s
If you want to calculate the acceleration of a car, you should _____ the change in velocity of the car by the time interval.
A. Multiply
B. Increase
C. Divide
D. Decrease
Answer:
Your awnser is B. Increase
Explanation:
Answer:
divide
Explanation:
u should divide the velocity by time interval because a=vf-vi/t
A student is leaving the lesson and walking to Maths at a speed of 1m/s. He notices that he is late for the lesson and speeds up to 3 m/s. It takes him 4 seconds to speed up. Calculate his acceleration.
Answer:
Acceleration = 0.5 m/s²
Explanation:
Given the following data;
Initial velocity, u = 1m/s
Final velocity, v = 3m/s
Time, t = 4 seconds
To find acceleration;
In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.
This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.
Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.
Mathematically, acceleration is given by the equation;
[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]
[tex]a = \frac{v - u}{t}[/tex]
Substituting into the equation, we have;
Acceleration = (3 - 1)/4
Acceleration = 2/4
Acceleration = 0.5 m/s²
14. A television has a cash price of $1299. It can be purchased on a Hire Purchase plan by
making a deposit of $500 plus 10 monthly payments of $95. What is the total monthly
installment.
a) S1450
b) S450
c) S1299
d) S950
A simple pendulum has a period of 3.45 seconds. When the length of the pendulum is shortened by 1.0m,the period is 2.81 seconds, calculate (a) the original length of the pendulum (b) The value of acceleration due to gravity
Answer:
2.97 meters
9.85 m/s^2
Explanation:
Given that :
Period (T1) = 3.45 seconds
When length , l is shortened by 1m, period (T2) = 2.81 seconds
Using the relation :
T = 2π√l/g
g = acceleration due to gravity
T1 = 2π√L/g - - - - (1)
Period 2:
x = shortened length = 1m
T2 = 2π√L-x/g - - - (2)
Square both sides
T1² = (2π)² L/g - - - (3)
T2² = (2π)² L-x/g - - (4)
Divide 3 and 4
(T2/T1)² = (L-x) / L
(2.81/3.45)^2 = (L - 1) / L
0.6633984 = (L - 1) / L
0.6633984L = L - 1
0.6633984L - L = - 1
−0.336601L = - 1
L = 1 / 0.336601
L = 2.9708764
Length = 2.97 meters
Acceleration due to gravity :
g = L(2π/T1)^2
g = 2.97(2π / 3.45)^2
g = 2.97 * 3.3168172
g = 9.8509
g = 9.85 m/s^2
g
A jet aircraft is traveling at 262 m/s in horizontal flight. The engine takes in air at a rate of 85.9 kg/s and burns fuel at a rate of 3.92 kg/s. The exhaust gases are ejected at 921 m/s relative to the aircraft. Find the thrust of the jet engine. Answer in units of N Find the delivered power. Answer in units of W.
Answer:
[tex]F_T=60132.52N[/tex]
[tex]P=15814852.76W[/tex]
Explanation:
From the question we are told that
Velocity of aircraft [tex]V=263m/s[/tex]
Engine air intake rate [tex]\triangle M_a=85.9kg/s[/tex]
Fuel burn rate [tex]\triangle M_f =3.92kg/s[/tex]
Velocity of exhaust gas [tex]V_e =921m/s[/tex]
Generally the Mass change rate of Rocket is mathematically given by
[tex]\triangle M = \triangle M_a+\triangle M_f[/tex]
[tex]\triangle M= 85.9+3.92[/tex]
[tex]\triangle M=89.82kg/s[/tex]
Generally the Trust of the rocket is given mathematically by
[tex]F_T=(\triangle M *V_e)-(dM_a/dt)*(V)[/tex]
[tex]F_T=(89.82 *921)-(85.9)*(263)[/tex]
[tex]F_T=60132.52N[/tex]
Generally the Rocket's delivered power is mathematically given by
Delivered power P
[tex]P=V*F_T[/tex]
[tex]P=263*60132.52N[/tex]
[tex]P=15814852.76W.[/tex]
(b)Suggest with reasons,what must be added to the flask to keep the liquid hot.
____________________________________________________
(a) a thin layer of vacuum is provided between the two walls of flask, to minimise the heat loss by conduction , because for conduction medium (molecules) is required , but now medium is absent .
.(b) the two walls are silvered to minimise the heat loss by radiation , because a shiny surface is a bad absorber and bad emitter of radiation i.e. good reflector of heat , so prevents the heat exchange between content of flask and surrounding .
(c) the lid of flask is provided with a tight cork stopper to minimise the heat loss by convection , so that convection currents cannot go out .
(d) a plastic (or metal) case is provided with a flask , to protect the flask from physical damage
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what is the diffference between distance and displacement
Answer:
distance is how far away something has travelled from another object, while displacement is how far something is from the other object. Displacement is a vector quantity, unlike distance.
I really need your help, please help me. How do I solve for ke without even having mass
Jeff throws a ball straight up. For which situation is the vertical velocity zero?
a. on the way up
b. at the top
c. on the way back down
d. none of the above
Answer:
b. at the top
Explanation:
At the top of the climb, the vertical velocity of Jeff's throw has a value of zero.
Vertical velocity in this instance is acting against the acceleration due to gravity.
At the top of the thrown, the force of the throw becomes zero and the velocity also becomes zero. As the body finds it way downward, it begins to fall freely. The fall is due to the acceleration due to gravity which is experienced by every object on earth.A car battery provides a voltage of 12 V to a vehicle. If 32 A of
current are drawn on a hot summer evening when the air conditioning
and lights are running, what is the resistance provided by the
electrical elements of the car?
A. 44 Ohms
B. 20 Ohms
C. 2.6 Ohms
D. 0.375 Ohms
Answer:
The resistance provided by the electrical elements is;
D. 0.375 Ohms
Explanation:
The relationship between the voltage, V, current, I, and resistance, R of an electric circuit is given as follows;
V = I × R
The given parameters of the circuit are;
The voltage provided by the car battery, V = 12 V
The current drawn by the air conditioning and lights, I = 32 A
From, V = I × R, we have;
R = V/I
Therefore, by substituting the known values, we have;
R = 12 V/(32 A) = 0.375 Ohms
The resistance provided by the electrical elements, R = 0.375 Ohms
At the time of the founding of the country, most Americans worked as
A.shopkeepers
B.soldiers
C.ship builders
D.farm workers
Answer:
Farmers
Explanation:
At the time of founding our country most soldiers in the revolutionary war were farmers who were inexperienced.
Answer:
D. farm workers
Explanation:
It is because when they started founding the country, people needed food and everything was based on agriculture and economy, and the main economy wat cotton and tobacco.
why is the index of refraction important for achromatic lenses?
Answer:
Refractive index is a measure of how light propagates through a material. The higher the refractive index the slower the light travels, which causes a correspondingly increased change in the direction of the light within the material.
Explanation:
How much energy is required to completely boil away 225 kg of water?
Hv = 226,000 J/kg
Hf = 334,000 J/kg
Answer:
E = 50850[kJ]
Explanation:
To boil the water we must use the latent heat of vaporization. Also we need to multiply this value by the mass of the water.
[tex]E=m*H_{v}[/tex]
Where:
E = energy produced by heat [J]
m = mass = 225 [kg]
Hv = 226000 [J/kg]
[tex]E = 225*226000\\E = 50850000 [J]\\E=50850[kJ][/tex]
When one end of a metal bar is heated, the opposite end will eventually become hot. Which of the following processes transfers the heat through the bar?
Group of answer choices
condensation
radiation
convection
conduction
As the hot gas from a space shuttle is released downward, what does this cause to happen?
A. The shuttle will explode.
B. Negligible force on the shuttle.
C. Downward force on the shuttle.
D. Upward force on the shuttle
Answer:
D. Upward force on the shuttle
Explanation:
The hot gas from space shuttles released downward causes an upward force on the shuttle and propels it up the more.
This hot gas is produced from super cooled oxygen and hydrogen tanks within the shuttle. The upward force on the shuttle allows the craft to escape the gravitational pull of the earth on the shuttle Special level of rapid acceleration must be attained for the shuttle to escape the earth pull.How does your brain know which direction a sound comes from ?
Answer:
Your brain is able to do this by comparing tiny differences in the way that sounds affect each ear. ... Signals from the ear travel along the auditory nerve to the brainstem, where each individual cell responds to a specific time difference and direction.
Explanation:
It's because of your ears.
What is the mass of the object if it exerted a
force of 62.2 Newtons and has an acceleration
of 15.3 m/s2?
Answer:
The object has an approximate mass of 4.06 kilograms.
Explanation:
Force is equal to mass times acceleration, so all we need to do is divide the force provided by the acceleration provided.
[tex]m = \frac{62.2N}{15.3 \frac{m}{s^2}}\\\\m = \frac{62.3kg\frac{m}{s^2}}{15.3 \frac{m}{s^2}}\\\\m = \frac{62.2kg}{15.3}\\\\m = 4.06kg[/tex]
"Energy is never created of destroyed, it only transforms from one form to another" is the definition of… A. The Law of Diminishing Returns B. The Law of Conservation of Energy C. The Law of Universal Gravitation D. The Law of Entropy
Answer:
B. The Law of Conservation of Energy
Explanation:
In Science, energy can be defined as the ability of an object or body to do work. There are two (2) main types of energy and these are;
I. Kinetic energy: it can be defined as an energy possessed by an object or body due to its motion.
Mathematically, kinetic energy is given by the formula;
Where, K.E represents kinetic energy measured in Joules.
M represents mass measured in kilograms.
V represents velocity measured in metres per seconds square.
II. Potential energy: it can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
Where, P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Additionally, the various forms of energy are solar energy, electrical energy, chemical energy, thermal energy, wind energy, nuclear energy etc.
Hence, energy is never created of destroyed, it only transforms from one form to another" is the definition of The Law of Conservation of Energy.
Starting from rest, a sprinter reaches his top velocity in 3 seconds. He runs a distance of 24m in 3 seconds. What is his acceleration? (Assume his acceleration is uniform)
Answer:
[tex]a=5.34\ m/s^2[/tex]
Explanation:
Given that,
Initial velocity of a sprinter, u = 0
He runs a distance of 24m in 3 seconds.
We need to find his acceleration. Let a be his acceleration. Using second equation of kinematics to find it.
[tex]s=ut+\dfrac{1}{2}at^2\\\\24=0+\dfrac{1}{2}a(3)^2\\\\a=\dfrac{24\times 2}{9}\\\\a=5.34\ m/s^2[/tex]
So, the acceleration of the sprinter is [tex]5.34\ m/s^2[/tex].
The acceleration of the sprinter from rest to his top speed is 5.33m/s²,
Given the data in the question
Since the sprinter starts from rest,
Initial velocity; [tex]u = 0[/tex]Time taken; [tex]t = 3s[/tex]Distance covered; [tex]s = 24m[/tex]Acceleration; [tex]a = \ ?[/tex]
To determine the acceleration of the sprinter, we use the second equation of motion:
[tex]s = ut + \frac{1}{2}at^2[/tex]
Where s is distance covered, u is initial velocity, a is acceleration and t is time.
We substitute our given values into the equation
[tex]24m = [0 * 3s] + [\frac{1}{2} * a * (3s)^2]\\\\24m = \frac{1}{2} * a * 9s^2\\\\24m = a * 4.5s^2\\\\a = \frac{24m}{4.5s^2} \\\\a = 5.33m/s^2[/tex]
Therefore, the acceleration of the sprinter from rest to his top speed is 5.33m/s²
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Help me to solve this please
Answer:
2) 7
3) 5
Explanation:
Answer:
the are are7
D
Explanation:
Which statement explains what happened next? Positive feedback caused his pancreas to stop secreting insulin. Negative feedback caused his pancreas to stop secreting insulin. Negative feedback caused his pancreas to produce more insulin. Positive feedback caused his pancreas to produce more insulin.
Answer:
Negative feedback caused his pancreas to produce more insulin.
Explanation:
Positive feedback is a feedback that causes an increase of product as a result of change while negative feedback is a feedback that causes a decrease in product as a result.
Negative feedback mechanism can be shown in the body as the control of blood sugar. The blood sugar is the product to be controlled. When there is an increase in blood sugar, the nerves sense a change. This change leads to secretion of insulin by the pancreas until homeostasis and then the secretion stops.
Answer:
negative feedback cause his pancreas to stop secreting insulin.
Explanation:
Which of these would be the most efficient means to transmit light pulses over long distances?
Answer: It’s fiber optics so B
what is the kinetic energy of a 0.25kg ball rolling at a speed of 2.5m/s
Answer:
Explanation:
Kinetic Energy formula:
KE = [tex]\frac{1}{2}[/tex]mv²
m=mass
v=speed
Given:
m=0.25kg
v=2.5m/s
Plug the values in:
KE = 1/2(0.25kg)(2.5m/s)²
KE = 0.78125 J (Joules)
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This child is in motion jumping on a trampoline. There are four forces that apply to this situation. Which are they?
Applied force
Normal force
Tension force
Friction force
Spring force
Air-Resistance force
Electrical force
Magnetic force
Gravitational force
Answer:
Normal Force, Applied force, Gravitational Force, Spring Force
Explanation:
Normal Force so that he does not fall into trampoline, spring because the trampoline spring down when the force goes down, then up putting force upwards, gravitation because of gravity, and applied because of jumping
Answer:
i told u my thing got deleted lol
Explanation: