The range of baseball thrown at a speed of Vo at an angle of elevation theta is Vo^2sin2theta/g.
What is range and how it comes out to be so ?See we have already studied about projectile in so many instances and in our earlier classes also.Projectile is simply a thing or an object thrown at a speed by the means of external force under the influence of gravity.Range is the maximum height that can be attained by the projectile , that is thrown up.We can also sometimes depict it as the horizontal displacement of the projectile.Whenever we throw a baseball up at sky , there is a launch point , the distance between the launch point and the end point is range.To know more about range visit:
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Find the initial velocity of an object traveling at a constant acceleration of 3.9 m/s2
, if the
object traveled 70,000 meters for 12 hours. Round to nearest hundredths place
Answer: 1.62 m/s
Explanation:
Distance/time=speed
12 hours in minutes is 720
12x60=720
720 minutes in seconds is 43200
720x60=43200
70000/43200=1.62037
1.62 m/s
A block is released from rest on an inclined plane and moves 3 m during the next 4.1 s. The acceleration of gravity is 9.8 m/s 2 .
Answer: angle = 2°
Explanation:
Let the angle of inclination be θ,
as shown in figure the forces equation on the block are as follows
Fsinθ = ma , where F=mg
mgsinθ = ma
sinθ = [tex]\frac{a}{g}[/tex]....................eq1
now we know that s = ut + 1/2at*t
3 = 0+1/2at*t
6 = a*[16.81]
a = 0.357m/s*s
now put value of a in eq1
therefore sinθ = 0.357/9.8=0.0364
angle θ = 2°
an 5000 kg elevator is decreasing speed on the way up. the tension in the cable supporting the elevator is 40,000 n. what is the magnitude and direction of the acceleration of the elevator?
This acceleration will be expressed in decimal terms as 1.8 m/s square, and the direction of this investigation will be downhill and vertical.
There is an elevator, and it weighs a whopping 5000 kg. assuming that it has also been revealed that the elevator is supported by a cable. And it has been noted that the 40,000 newtons of tension in the wire holding this elevator. Four into ten is thus equal to four newtons. Additionally, we must ascertain the elevator's magnitude and acceleration. So let's think about E. S. The acceleration that we must here calculate. Wheat will therefore follow the accelerator and will be moving downward. We multiply mass by the gravitational acceleration to obtain weight.
The mass is 5000, then. This is multiplied by 9.8 To obtain the weight of 49,000 Newtons, it is necessary to apply 40,000 Newtons of tension. Therefore, it can be seen that the downward force is greater than the tension. Therefore, we can infer that the acceleration in this case will be in the downward direction and that the net force will also be in that direction. Additionally, the mass of the accelerator will be divided by the net force to get the acceleration. So let's start by calculating the net force. Therefore, that will be MG – t. And according to Newton's second law, this will be equal to mass times the acceleration.
Therefore, from this point on, we will receive 9000 when we subtract the tension from the weight. And when we divide by 5000, which is the elevator's mass, we arrive at the acceleration, which works out to be roughly nine by five m per second square. The acceleration will be expressed in decimal terms as 1.8 m/s square, and this exploration will be conducted vertically downward.
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a spherical cavity is hollowed out of the interior of a neutral conducting sphere. at the center of the cavity is a point charge, of positive charge q.
Only the charge present inside the cavity can explain the electric field that exists there. The electric field inside the hollow would remain unchanged as a result.
Each point in space has an electric field associated with it when there is charge present in any form. E, often known as electric field strength, electric field intensity, or just the electric field, is a mathematical constant that expresses the strength and direction of an electric field. To predict what would happen to electric charges nearby a specific point, one only needs to be aware of the value of the electric field there, without having any precise knowledge of what generated the field.
When one charge is thought of as the generator of an electric field that spreads outward into the surrounding space, the electric force is not thought of as a direct interaction of two electric charges that are separated from one another.
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33. Five forces act on an object: (1) 60 N at 90°,
(2) 40 N at 0°, (3) 80 N at 270°, (4) 40 N at
180°, and (5) 50 N at 60° What are the magni-
tude and direction of a sixth force that would
produce equilibrium?
Answer:
See below
Explanation:
If you draw the vectors, you will see the 40 N 's cancel out
and you are left with 20 N at 270 and 50 N at 60 (see diagram)
find R... then the 'balancing' R will be of same magnitude in opposite (+180 degrees) direction
x component of 50 N 50 cos 60 = 25 N
y component of 50 N 50 sin 60 = 43.3 N
So now you have 25 N in x direction and (43.3 -20) = 23.3 N at 90 deg
R Magnitude = sqrt( 25^2 + 23.3^2 ) = 34.2 N
R angle = arctan ( 23.3/25) = ~43 degrees
So balancing force would be 34.2 N at (43+180) = 223 degrees
what is the average velocity if the distance is 471,000,000km
if a certain spring stretches 5.35226 cm when a load of 14.4393 n is suspended from it, how much will the spring stretch if it is cut in half and 24.1382 n is suspended from it? answer in units of cm.
The average force exerted as the displacement from 0 to x changes is 12kx. W = 12kx² is the work done when stretching or compressing a spring a distance x from its equilibrium position.
The Hooke's Law Calculator employs the formula Fs = -kx, where F is the spring's restoring force, k is the spring constant, and x is the displacement, or distance the spring is stretched. Hooke's Law states that when a spring is stretched, the force exerted is proportional to the increase in length from the equilibrium length. The spring constant can be calculated as follows: k = -F/x, where k is the spring constant. The Young's modulus (E) is a material property that indicates how easily it can stretch and deform. It is defined as the ratio of tensile stress () to tensile strain ().
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dark energy has been hypothesized to solve which problem? the universe is expanding. the cmb is too smooth. the expansion of the universe is accelerating. stars orbit the centers of galaxies too fast.
Dark energy has been hypothesized to solve The expansion of the universe is accelerating.
Functional behavioural assessment, or FBA for short, is used to examine a student's behaviour in order to determine the fundamental driving force behind the behaviour.As they apply the scientific method to learn more about the world, hypotheses are the questions that scientists ponder. People also employ the procedure of forming then attempting to refute a hypothesis in their daily lives. The purpose of the hypothesis is to organise the process of comprehending how the world operates. After the behaviour has been identified and information about the circumstances surrounding the student's activities has been gathered, the next step is to construct a hypothesis, which is a declaration that enumerates the conduct, what came before it, and its presumed purpose.
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If an 800 kg roller coaster is at the top of its 50 high trackwill have a potential energy 392,000 J and a energy of This means the total mechanical energy is 392,000 the cart drops down to where its kinetic energy is now 92, 000J how high off the ground is the cart now?
Given data:
* The mass of the roller coaster is m = 800 kg.
* The total mechanical energy is E = 392000 J.
* The kinetic energy at the particular height (let h') is K = 92000 J.
Solution:
The potential energy of the roller coaster at h' is,
[tex]\begin{gathered} U=E-K \\ U=392000-92000 \\ U=300000\text{ J} \end{gathered}[/tex]The potential energy in terms of height and mass is,
[tex]U=\text{mgh}[/tex]where g is the acceleration due to gravity,
Substituting the known values,
[tex]\begin{gathered} 300000=800\times9.8\times h \\ 300000=7840\times h \\ h=\frac{300000}{7840} \\ h=38.3\text{ m} \end{gathered}[/tex]Thus, the height of the roller coaster from the ground is 38.3 meters.
4. A bicyclist bikes to the West at a constant speed for 30 minutes before turning South and continuing at the same speed for an hour. Is the bicyclist accelerating? Why or why not?
The cyclist will accelerate because he changed his direction from west to south.
Is acceleration a scalar or vector quantity?
Acceleration is a vector quantity. It has both magnitude and direction.
Given is a bicyclist bikes to the west at a constant speed for 30 minutes before turning South and continuing at the same speed for an hour.
As learned above, acceleration is a vector quantity. This means that it has both the magnitude and the direction. If any one of that changes the acceleration will change. Now, since the direction changed from west to south, the resultant acceleration of the cyclist will change. Hence, the cyclist will accelerate.
Therefore, the cyclist will accelerate because he changed his direction from west to south.
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If an astronaut weighs 148 N on the Moon and 893 N on Earth,
then what is his mass on Earth?
Answer:
91 kg
Explanation:
F = m a
893 = m *9.81 m/s^2
91 kg
If an astronaut weighs 148 N on the Moon and 893 N on Earth, his terrestrial mass is 91 kg
What is mass?The mass of a physical body is the total amount of matter in it. This term also refers to the resistance of the body to acceleration when a net force is applied. The mass of an object influences its gravitational pull on other bodies. The SI base mass unit is the kilogram. Mass is a quantitative measure of inertia in physics, which is a fundamental property of all matter. It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force. The terms "mass" and "weight" are frequently used interchangeably, but they have very different meanings.Therefore,
F = m a
893 = m × 9.81 m/s^2
91 kg
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Matter undergoes a physical change when it changes from one______ to another.
what's the answer?
Answer:
phase
Explanation:
Phases : solid liquid gas
Answer:
form or state. (Sometimes the teacher won't accept state as an answer.)
Explanation:
For matter to change when moving from a solid state, it would have to be physically altered to be in, say, a liquid state. It's still the same product, it just had to change form. Ex: Solid to liquid. When you take an ice cube and melt it, it is still the same water, it's just in a different form or state.
Hope this helps! :)
Please help me!!!!
Make a hypothesis on this question. Can you use density to identify eight cubes made of different materials?
The ratio of an object's mass to volume is known as its density. Density is defined as the product of mass and volume, or D = m/v. Because of the size, mass, and arrangement of each substance's atoms or molecules, each substance has a unique characteristic density.
Can density be used to identify a material?One of an object's most significant and practicable physical characteristics is density. Densities are frequently used to identify pure substances, classify mixtures, and estimate their composition.The ratio of an object's mass to volume is known as its density. Density is defined as the product of mass and volume, or D = m/v. Because of the size, mass, and arrangement of each substance's atoms or molecules, each substance has a unique characteristic density.The densities of pure materials cannot be the same. The densities of mixtures, compounds, or distinct phases can be the same (assuming they are not isotopes of one another).
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what are two properties of star
a size, distance
b size, temperature
c brightness, temperature
d speed, distance
e distance, brightness
Answer: C. brightness, temperature
Explanation: This question doesn't fully make sense because there are basically multiple correct answers. A star has the properties of distance, luminosity, temperature, brightness, radius, etc .
a radioactive nucleus has a half-life of 5 × 108 years. consider a sample of rock (say, in an asteroid) that solidified right after the solar system formed (4.5 × 109 years ago).
Therefore, the current mass will be 0.0017002 times the sample's initial mass.
Given:
half life of the sample in question, t^=5 x 108 years
We are aware that the solar system formed roughly 4.6 x 109 years ago.
Let the starting amount for the solar system's formation sample be, mo
The current ultimate quantity would then be:
m = mo x (1/2) (t^/t)
m= mo x (1/2) 4.6 x 10^9/(5x10^8)
m= mo x 0.0017002
Therefore, the current mass will be 0.0017002 times the sample's initial mass.
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you have a summer job working for a basketball camp. the child who wins the dribbling competition can dribble a basketball with a frequency of 2.40 hz. how long does it take her to complete 10 dribbles?
It takes her 4.17s to complete 10 dribbles as frequency is 2.40hz
What do you mean by frequency ?
In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time .A body traveling in periodic motion is considered to have experienced one cycle or one vibration after passing through a series of circumstances or locations and then returning to its starting point.. The frequency is 2 per second if the period, or time interval, needed to complete one cycle or vibration is 1/2 second; it is 100 per hour if the duration is 1/100 of an hour. In most cases, the frequency is equal to the period, or time interval, reciprocally, therefore frequency = 1/period = 1. (time interval)
frequency = 2.40hz
2.40 dribble is finished in one second
1 dribble takes 0.60 seconds to complete.
10 dribbles are finished in 1*10/2.40 = 4.17 seconds.
She completes 10 dribbles in 4.17 seconds since the frequency is 2.40 hertz.
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There is a bell at the top of a tower with a mass of 20kg. If it had 8829 J of gravitational potential energy, estimate how many floors the tower has.
Answer:
10 floors
Explanation:
We are told that a bell of mass 20 kg is atop a tower and has 8829 J of gravitational energy. The question asks us to estimate the number of floors the tower has.
To do this, we must first calculate how high above the ground the bell is. We can do that using the formula for gravitational potential energy:
[tex]\boxed{g.p.e = mgh}[/tex],
where:
• g.p.e = gravitational potential energy (8829 J)
• m = mass of object (20 kg)
• g = acceleration due to gravity (approximately 10 m/s²)
• h = height of object above ground (? m).
Using the above information and formula, we can solve for h:
g.p.e = [tex]20 \times 10 \times h = 8829[/tex]
⇒ [tex]200 h = 8829[/tex]
⇒ [tex]h = \frac{8829}{200}[/tex]
⇒ [tex]h = \bf 44.145 \ m[/tex]
Therefore the bell is 44.145 m above the ground, which means that the height of the tower is also 44.145 m.
One floor of a building can be estimated to be around 4.3 m, therefore the number of floors the tower has is:
44.145 ÷ 4.3
≈ 10
Therefore there are 10 floors in the tower.
300kg times 4m/s^(2)
I'm guessing that you need the force, since the question doesn't specify I'll just use the force equation. If this is not what you wanted let me know in the comments section of this answer.
m = 300 kg (kilograms)a = 4 (m/(s^2)) (meters per second square)F = ma- F = 300 x 4
- F = 1200 N (newtons)
if you answer i will mark you as brainlist
Answer:
reaction
Explanation:
Newtons third law states that for every action there is an equal but opposite reaction
and for that object (rocket, missile, jet,) as the engine is ignited the force of the burning fuel pushes backward while the rocket moves forward so the rate at which the fuel burns is equal to the rate at which the object moves forward
the force at which the burning fuel pushes backward is equal but opposite to the rate at which the object moves forward
Which diagram represents the postulate that states exactly one line exists between any two points?
B
Intro
#/108 core leam edgenuit
A
B
B
0000
A
B
Done
Answer:
A.BB is 000 with A.B is 0.00
Please help with some physics 1 questions, my test is soon
The component of the forces and the frictional force of the bodies are as follows
6. The frictional force is approximately 37°
7. The frictional force is 0, while the force holding the mass is approximately 49.05 N
8. Please find attached the drawing showing the three forces acting on the block and their direction.
The forces are; [tex]F_{fr}[/tex] = [tex]F_{W}[/tex] ≈ 33.55 N, [tex]F_{N}[/tex] ≈ 92.18 N
9. The steepest angle of the slope is approximately 37.6°
What is a frictional force?Frictional force is the force that is generated and serves to prevent the relative motion of two bodies in contact.
6. The angle made by the rope with the horizontal = 37°
The tension in the rope = 10 N
Velocity of the crate = Constant
Given that the velocity of the crate is constant:
The frictional force = The horizontal component of the tension in the rope
Which gives: Frictional force = 10 N × cos(37°) ≈ 7.99 N
7. The frictional force is given by the formula: [tex]F_{fr} = m\cdot g \cdot cos(\theta)\cdot \mu[/tex]
Given that the plane is frictionless, we have: μ = 0
Therefore: Frictional force, [tex]F_{fr} = m\cdot g \cdot cos(\theta)\times 0 = 0[/tex]
The force holding the mass, F = m·g·sin(θ)
Where:
θ = 30.0°
g = The acceleration due to gravity ≈ 9.81 m/s²
∴ F ≈ 10.0 kg × 9.81 m/s² × sin(30°) = 49.05 N
8. Please find attached the drawing showing the weight, the friction force and the normal reaction of the block.
Given that the block slides down at a constant speed, the frictional force is equivalent to the weight component down the incline
The weight components of the block are:
Frictional force, [tex]F_{fr}[/tex] = Weight component down the incline, [tex]F_{W}[/tex], which gives;
Frictional force, [tex]F_{fr}[/tex] = 10.0 kg × 9.81 m/s² × cos(20) × μ = 10.0 kg × 9.81 m/s² × sin(20) ≈ 33.55 N
Weight component down the incline, [tex]F_{W}[/tex] ≈ 33.55 N
The normal reaction, [tex]F_{N}[/tex] = m·g·cos(θ)
Therefore: Normal reaction, [tex]F_N[/tex] ≈ 10.0 kg × 9.81 m/s² × cos(20°) ≈ 92.18 N
9. When the crate moves at a steady speed, the required horizontal force = The frictional force = m·g·μ
Given that m = 79.4 kg, μ = 0.2, we have;
Friction force = Required force = 79.4 × 9.81 × 0.2 = 155.7828
The required horizontal force = 155.7828 N
10. Given that the coefficient of static friction, μ = 0.77, we have:
When the car slips; friction force = weight of the car acting on the incline
m·g·cos(θ)·μ = m·g·sin(θ)
[tex]\mu = \dfrac{m \cdot g\cdot sin(\theta)}{m\cdot g\cdot cos(\theta)} = tan(\theta)[/tex]
The steepest angle, θ = arctan(μ)
Which gives;
Steepest angle, θ = arctan(0.77) ≈ 37.6°
The steepest angle is, θ ≈ 37.6°
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a small boy is thrown staight up by his father .at the top of his path .he comes to rest for a moment will he be in equilibrium at this point
At the top of his path, he comes to rest for a moment but he will not be in equilibrium at this point.
No, the boy is not in equilibrium. At the moment at which the boy is released from his father's grip, he is not in equilibrium.
Being in equilibrium means that the net force on the body is zero. When we talk about net force, it means that the net acceleration should be zero. But when the boy is released into the air, the boy's velocity will become zero at the highest point, but the acceleration is never zero. The velocity of the body has nothing to do with the equilibrium of the body.
The earth is constantly applying gravitational force to the body.
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Tiana leaves her internship at the doctor's office and goes home to wake up her brother, Adam. Then, they both walk to the school together to watch a play by the Drama Club. What distance did Tiana cover?
The distance covered by Tiana is greater than the distance covered by the brother.
What is distance?Distance is defined as the quantity that defines how far or near an object is from an observer which is normally measured in meters, kilometers and feet.
There are various ways by which distance can be measured which include the following:
Pacing,Odometer,Taping or "chaining," and Stadi.From the scenerio created concerning Tiana and the brother, Tiana first left the doctors office to her friends house and they both left together to the school.
This shows that the distance covered by Tiana is greater than the distance covered by her brother.
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planet a has mass 3m and radius r, while planet b has mass 4m and radius 2r. they are separated by center-to-center distance 8r. a rock is released halfway between the planets’ centers at point o. it is released from rest. ignore any motion of the planets.
a. Expression for magnitude of the acceleration is GM/16R² b. magnitude of the acceleration is 1.33 e^-5 ms^-2 .
Because the direction is always shifting, motion on a circle accelerates even while the speed is constant. Both effects add to the acceleration for all other types of motion. It is a vector quantity because acceleration has both a magnitude and a direction. Another vector quantity is velocity. The velocity vector change during a certain period of time, divided by that period of time, is the definition of acceleration. Acceleration requires a change in speed, direction, and rate of change. An object experiences constant acceleration when its velocity changes at the same rate every second. Whether an object is accelerating or decelerating determines the direction of acceleration. The force of gravity causes an item in free fall to fall. An object has positive acceleration when it is going faster than it was previously. Positive acceleration was demonstrated by the moving car in the first scenario. The acceleration is in the same direction as the car's motion since the vehicle is moving ahead and accelerating.
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if the wire is oriented so that the current flows in the direction you chose for part (e), what would the mass per unit length of the wire, μ, in grams per meter, need to be for the magnetic force to balance the weight of the wire?
A magnetic force that is given by acts on a wire when a current I passes through it while it is in a consistent magnetic field (B). F = B I L where L is the conductor's length.
For thousands of years, people have been aware of magnets and magnetism. The earliest records are from Asia Minor, specifically from a place called Magnesia, which is where words like magnet first appeared.
Ancient people were intrigued by the magnetic rocks that were discovered in Magnesia, which is today a region of western Turkey. When people first discovered magnetic rocks, it's possible that they noticed that some of these rocks were more magnetically drawn to iron or other magnetic rocks than other portions.
The poles of a magnet are these regions. A magnet's magnetic pole is the area that attracts other magnets or magnetic materials, such iron, with the greatest force.
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What is the range of values and the percentage uncertainty of of the volume
measurement (10.05±0.08)mL
Answer:
Range of values: [9.97, 10.13] or 0.16 ml
Percentage uncertainty = 0.0.796%
Explanation:
Since there is an uncertainty of ±0.08 ml, the minimum is
10.05 - 0.08 = 9.97
Maximum with uncertainty = 10.05 + 0.08 = 10.13
So the min, max range is [9.97, 10.13] which is a spread of 0.16
Uncertainty as a percentage
= (0.08/10.05) x 100
= 0.0.796%
water flows steadily through the nozzle show discharging to atmosphere. calculate the horizontal component of force in the flanged joint. indicate whether the joint is in tension or compression.
The horizontal component of force in the flanged join and the indicator of whether the joint is in the tension of compression are
R_x =-658.224compressionThis is further explained below.
What is compression?Generally,
[tex]A_1 Y_1=A_2 V_2 \\\\ A_1=\frac{\pi}{4}(0.30)^2, A_2=\frac{\pi}{4}(0.15)^2, \quad V_1=1.5 \mathrm{~m} / \mathrm{s}\end{gathered}\\ \\$eqn $A_1 V_1 &=A_2 V_2 \\\\ \frac{\pi}{4}(0.30)^2 \times(1.5) &=\frac{\pi}{4}(0.15)^2 V_2 \\\\\frac{\pi}{4}(0.09) \times(1.5) &=\frac{\pi}{4}(0.0225) V_2 \\[/tex]
0.07 *1.5 =0.01767 V_2
0.106 =0.01767 V_2
V_2 =0.10610 .01767
[tex]V_2=5.998 \approx 6m/s[/tex]
By moment Equation
[tex]\begin{aligned}&\quad \sum F_x=n^{\circ}\left(V_2 x-V_1 x\right] \\\\&P_x+P_1 A_1=\left(P_1 A_1 V_1\right)\left[V_2 \cos 30^{\circ}-V_1\right] \\\\&P=15 \mathrm{k} \quad 1000 \mathrm{~kg} / \mathrm{m}^3, V_1=10^3, A_1=\frac{\pi}{4}(0.30)^2, V_1=1.5 \mathrm{~m} / \mathrm{s} / \mathrm{s}\end{aligned}[/tex]
[tex]P=100kg/m^3 , V_2=6m/s[/tex]
[tex]\begin{aligned}R_x+P_1 A_1=\left(P A_1 V_1\right)\left[V_2 \cos 30^{\circ}-V_1\right] \\\\R_x+\left(15 \times 10^3\right)\left(\frac{\pi}{4}(0.30)^2\right) &=\left(1000 \times \frac{\pi}{4}(0.30)^2 \times 1.5\right)(6 \cos 30-1.5) \\\\R_x+\left(15 \times 10^3\right)(0.07) &=(1000 \times 0.106)(5.196-1.5) \\\\R_x+1050 \quad &=(106)(3.696) \\\\R_x &=391.776-1050 \\\\R_x &=-658.224\end{aligned}[/tex]
In conclusion, Hence the sign is negative, which means the force acts to the left.
Therefore, the force is compression
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CQ is attached below
a 100-hp 250-v 350-a shunt d.c. motor with an armature resistance of 0.05 ω. it is desired to design a starter circuit limits the maximum starting current to twice its rated value and which will switch out sections of resistance as the armature current falls to its rated value.
n= log(Ra/Rt)/log(Imin/Imax) ;= log(0.05/0.357)/log(350/700)= 2.84
3 stages of starting resistances
A circuit's opposition to current flow is measured by its resistance. The Greek letter omega () stands for ohms, which are used to measure resistance. Georg Simon Ohm (1784–1854), a German physicist who examined the connection between voltage, current, and resistance, is the subject of the name "Ohm." Many parts have a set resistance value, including heating elements and resistors. In manuals or on nameplates of components, these values are frequently printed for reference.
If there is a tolerance listed, the measured resistance value must fall within the given resistance range. A issue is typically indicated by any appreciable change in a fixed-resistance value.
Although the word "resistance" may sound bad, it has positive uses in electricity. In an active circuit, resistance cannot be measured.
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A refrigerator operates on average for 10.0 h a day if the power rating of the refrigerator is 700 W how much electrical energy does the refrigerator use in one day
If a refrigerator operates on average for 10.0 h a day if the power rating of the refrigerator is 700 Watts, then the electrical energy consumed by the refrigerator in one day would be 25200-kilo Joules .
What is power?The rate of doing work is known as power. The Si unit of power is the watt.
Power = work / time
As given in the problem If a refrigerator operates on average for 10.0 h a day if the power rating of the refrigerator is 700 Watts,
The electrical energy consumed by = power × time
= 700 × 10 × 3600
= 25200000 Joules
= 25200-kilo Joules
Thus, the electrical energy consumed by the refrigerator would be 25200-kilo Joules.
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wo spools of equal mass, a and b, are pulled from rest up identical ramps by inextensible threads with the same tension. the thread is wrapped around spool a many times, but it is attached to a fixed point on spool b, so that spool b will not rotate. there is no friction between the objects and the ramps. both spools are pulled from the bottom of the ramp to the same point at the top of the ramp.
The fact that both spools travel same distance over same period of time and have equal mass, both will reach the top of the ramp at same time.
How to illustrate the information?The same tension inextensible threads are used to draw two identical spools of similar mass, A and B, from rest and up identical ramps. The thread is wrapped repeatedly around spool A, but it is secured to a fixed spot on spool B, preventing rotation of spool B. The ramps and the objects don't rub against each other. From the bottom of the ramp to the same spot at the top of the ramp, both spools are hauled.
The tension from the thread force and a part of the force of gravity are forces acting on both spools along the ramp. Due to the equal spool masses and tension forces, the net forces operating on both are also the same. As a result, both spools' centers move with the same acceleration. Both begin at zero speed, hence the speed of both spools at any one time is the same. The distance and duration of travel for both spools are the same. So, they both arrive at the ramp's top simultaneously.
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Will spool A reach the top of the ramp before, after, or at the same instant as spool B? If you do not have enough information, state so explicitly. Explain your reasoning.