For the block to just start moving the horizontal force must equal the static friction.
F⇔ ↑N↓mg
N = mg
F = [tex]m_{s} n[/tex]
= [tex]m_{s} mg[/tex]
Frictional forces act parallel to the surface. The frictional force is the force that resists the movement of an object in contact with the surface and acts parallel to the surface with which the object is in contact. When one body moves relative to another, a constant force called friction force begins to act on the sliding surface in the opposite direction of the movement. A moving object has a constant frictional force.
The magnitude of static friction is equal to the magnitude of the applied force. The supporting force F must be greater than the frictional force. The underlying object that requires less force to move is the pencil. Friction: Friction is defined as the force that opposes the motion of objects on contacting surfaces. On the other hand, if you move a large object, it becomes difficult for friction to work.
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Which dog has the most kinetic energy?
• A. A dog of mass 10 kg running with speed 8 m/s
• B. A dog of mass 14 kg running with speed 6 m/s
• C. A dog of mass 13 kg running with speed 7 m/s
• D. A dog of mass 15 kg running with speed 5 m/s
(c) Jika kelajuan kereta digandakan, tenaga kinetik kereta akan bertukar sebanyak berapa faktor? If the speed of a car is doubled, by what factor does the kinetic energy of the car change? KBAT
Answer:
W₂ / W₁ = 4
Explanation:
Given:
m
V₁ = V
V₂ = 2·V
_________
W₂ / W₁ - ?
Kinetic energy of the car:
W₁ = m·V₁² / 2 = m·V² /2
W₂ = m·V₂² / 2 = m·(2·V)² /2 = 4·m·V² / 2 = 4·W₁
W₂ / W₁ = 4·W₁/ W₁ = 4
Kinetic energy increased 4 times
Drag each statement to the correct location on the table. Match the characteristics with the states of matter.
Solid - has a definite shape and volume and changes to liquid on heating. Liquid - has definite volume but does not have a definite shape and changes to solid on cooling. When cooled, a gas transforms into a liquid but has no fixed shape or volume.
What is state of matter?State of matter is defined as the physical classification of matter divides stuff into solids, liquids, and gases.
Matter transforms into a state of matter when energy is added or subtracted from it.
Thus, Solid - has a definite shape and volume and changes to liquid on heating. Liquid - has definite volume but does not have a definite shape and changes to solid on cooling. When cooled, a gas transforms into a liquid but has no fixed shape or volume.
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Your question is incomplete, but probably your complete question was
Drag each statement to the correct location on the table.
Match the characteristics with the states of matter.
does not have
a definite shape
or volume
has definite volume
but does not have a
definite shape
has a definite shape
and volume
changes to liquid
on heating
changes to liquid
on cooling
changes to solid
on cooling
Solid
Liquid
Li
Gas
Two electromagnetic waves are traveling through a material. Wave 1 has a maximum electric field strength that is three times the maximum field strength of wave 2. How do the average intensities of the waves compare?.
The average intensity of the wave 1 is 9 times the average intensity of the wave 2.
When a electromagnetic wave moves, it carries electric as well as magnetic energy in itself.
The energy of the EM waves is by the equal contribution of both the waves.
It is provided, that wave 1 has electric field E that is three times the maximum electric energy E' of the wave 2.
So, we can say,
E/E' = 3
We know,
The intensity of the wave is given by,
I = 1/2eE²c
Where,
I is the intensity of the wave,
e is a permittivity of free space,
E is the strength of the wave,
c is the speed of light
Now, intensity of the wave 1,
I1 = 1/2eE1²c
For wave 2,
I2 = 1/2eE²c
Now, dividing both the intensity,
I1/I2 = E1²/E2²
We know,
E/E' = 3
So,
I1/I2 = 9
I1 = 9I2
So, we can say,
The intensity of wave 1 is 9 times the intensity of wave 2.
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the system in fig. 3.1 is in equilibrium with the string in the center exactly horizontal. find (a) tension t1, (b) tension t2, (c) tension t3 and (d) angle θ.
The system in fig. 3.1 is in equilibrium with the string in the center exactly horizontal.
T_1=48.83NT_2=28.01NT_3=57.31NФ=29.26This is further explained below.
What is tension?Generally, Tension is defined as the pulling force that is transmitted axially by the means of a string, a cable, chain or another object of a similar nature, or by each end of a rod, truss member, or another object of a similar three-dimensional nature.
Alternatively, tension can be defined as the action-reaction pair of forces that act at each end of the elements in question.
[tex]\begin{aligned}&T_1 \cos 35=40 \\&T_1=48.83 \mathrm{~N} \\&T_2=T_1 \sin 35 \\&T_2=28.01 \mathrm{~N}\end{aligned}[/tex]
[tex]\begin{aligned}&T_3 \cos \theta=50 \\\\&T_3 \sin \theta=T_2=28.01 \\\\&\tan \theta=\frac{28.01}{50} \\\\&\theta=\tan ^{-1}\left(\frac{28.01}{50}\right) \\\\&\theta=\frac{29.26}{}=\frac{50}{\cos \theta} \\\\&=\frac{50}{\cos 29.26}=57.31 \\\\&T_3=57.31 \mathrm{~N}\end{aligned}[/tex]
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Which is an example of an inclined plane?
ramp
zipper
knife
jar lid
A car is traveling driving at 80 km/h when the driver sees an accident 50 meters ahead and applies the brakes. What constant deceleration is required to stop the car in time to avoid hitting the vehicles ahead? express your answer in m/s2.
We have,
Initial velocity, u= 80 km/h
Final velocity, v= 0km/h
Distance, s= 50m
= 0.05km
Using relation, [tex]v^{2} = u^{2} + 2as\\[/tex]
We get,
[tex]0^{2} = 80^{2} + 2a(0.05)\\[/tex]
[tex]0 = 6400 + 0.1a[/tex]
[tex]-6400 = 0.1a[/tex]
∴ [tex]a = \frac{-6400}{0.1}[/tex]
[tex]a = - 64000[/tex][tex]km/h^{2}[/tex]
To convert the answer into [tex]m/s^{2}[/tex] we have to multiply the answer by [tex]\frac{1000}{3600^{2} }[/tex]
∴ [tex]a = -64000[/tex] × [tex]\frac{1000}{3600^{2}}[/tex]
⇒ [tex]a= -4.9382[/tex][tex]{m/s^{2}[/tex]
The deceleration required to stop the car in time to avoid hitting the vehicles ahead is [tex]4.9382[/tex][tex]m/s^{2}[/tex].
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Calculate the displacement of a sine wave in mm of Time Period of 2 seconds and amplitude 8 cm, 0.3
seconds after the commencement of the wave.
The displacement of the sine wave in mm is determined as 75.36 mm.
What is angular displacement of a wave?
Angular displacement is the angle made by the body from its point of rest at any point in the rotational motion.
The angular speed of the wave is calculated as follows;
ω = 2π/T
where;
T is the period of the wave = 2 sω = 2π/2
ω = π rad/s
The angular displacement of the wave is calculated as follows;
ω = θ/t
θ = ωt
where;
t is time of motion of the wave = 0.3 sθ is angular displacementθ = ( π rad/s) x (0.3 s)
θ = 0.3π rad/s = 0.942 rad
The displacement of the wave in mm is calculated as follows;
Δx = θA
where;
A is the amplitude of the wave = 8 cm = 80 mmΔx = 0.942 rad x 80 mm
Δx = 75.36 mm
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A body is under reaction two forces 6n and 8n find the resultant of two forces if (a) the forces are parallel and act in the same direction (b) the forces are parallel and act in the same direction
The net force of parallel force act in the same direction is 14 N.
We need to know about force resultant to solve this problem. The force resultant is the total net force applied to the object according to the direction. It can be written as
R = F1 + F2 + ... + Fn
where R is force resultant (net force)
From the question above, we know that
F1 = 6 N
F2 = 8 N
Because the direction is the same, the force will add to each other.
R = F1 + F2
R = 6 + 8
R = 14 N
Hence, the net force is 14 N
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Sometimes, when energy is added to a solid, it undergoes____
Answer:
A phase change
Explanation:
If i understand the question correctly it should undergo a phase change e.g melting
A policeman notices a car speeding at 80m/s and starts chasing it. When the police car reaches the car, its speed has decreased to 50m/s within 30 seconds. What is it's acceleration
The acceleration of this car is equal to 9 meters per seconds square (m/s²).
What is an acceleration?An acceleration can be defined as the rate of change of the velocity of a physical object or body with respect to time.
How to calculate the acceleration of this car?In Science, the acceleration of a physical object (car) or body can be calculated by using this formula:
a = (V - U)/t
Where:
a represents the acceleration.V is the final velocity.U is the initial velocity.t is the time measured in seconds.Substituting the given parameters into the formula, we have;
a = (80 - 50)/30
a = 30/30
Acceleration, a = 1 m/s²
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A florist has one kind of plant that usually has red flowers (the dominant trait), but sometimes has white flowers (the recessive trait). If she crosses plants A and B as shown here, 50% of the offspring will have red flowers.
Answer:
See below
Explanation:
The red flowering plant must be heterozygous with a dominant R gene and a recessive w gene......the white will have w w (homozygous)
R w
w wR (red) ww(white)
w wR (red) ww(white ) 50% red 50% white
a ball of mass 0.484 kg moving east ( x direction) with a speed of 3.78 m/s collides head-on with a 0.242 kg ball at rest. assume that the collision is perfectly elastic.what is be the speed of the 0.484- kg ball after the collision?
The collision is perfectly elastic, so the speed of the 0.484- kg ball after the collision will be 5.66 meter per second.
We have a ball; the mask's mass should be 0.440 kg. Additionally, it is moving at a speed of 3.80 middle birth seconds. So it grapples with another ball that has a mask head-on. MB 20.220 Kg. B = 0 because it was at rest, so we will get B. They are now claiming that this collision was flawlessly elastic. Therefore, following a collision, we must determine the speed and direction of each ball. Therefore, we can now write V A minus we B is equal to minus V A dash minus V B using the relationship between the velocities. Where we are, dash, then B B dash R.
The speeds of ball and ball B following impact. As VB is already zero, the formula for V B dash will now be V A + V a dash. Therefore, we will now use the law of conservation of momentum. Therefore, we can write MAN for elastic collisions in accordance with the law of conservation of momentum. Two M A N is equivalent to two V A plus MB divided by VB. Do be two VB dashes plus an MB. V B was now equal to 0. The result of this expression will be zero. As a result, once we get em A there, M A V A dash plus M B will end. And we'll just add VA plus VA dash for the value of the vb dash.
Now that we have all the values, we can simply enter them. For example, a dash will represent MA- MB, which is 0.440 -0.22. subtract 0.440 add 0.22 multiplied by the first ball's velocity, which is 3.80. Hence We discover the first ball's velocity value. After elastic collision, two is equal. Be a dash that is 266 metres long and lasts one second in the east. Therefore, we must now determine the value of the vb dash. As a result, vb dash equals B plus we're dash. Therefore, we have both values. In light of this, we determine that B B dash equals two 3.80 + 1.266. We now have the speed for B B dash, which is 5.66 metres per second in the same direction as before.
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To divide 20 miles by 5 hours, what conversion should be made to make the calculation correct?Convert miles to hour and then divide the two numbers.Change hours to miles and then divide the two numbers.Divide the two numbers as given--units do not have to be the same when dividing.None of these choices are correct.
To find
To divide 20 miles by 5 hours, what conversion should be made to make the calculation correct?
Explanation
20 miles refer to the distance travelled
5 hours refers to the time taken
So dividing distance by time would give us speed
Since both are different physicals quantity so their units need not be same.
Conclusion
The correct statement is
Divide the two numbers as given--units do not have to be the same when dividing.
which of the following is a derived unit.
A. Ampere
B. kilogramme
C. Second
D. Ohm
E. Kelvin
Answer:
D. Ohm
Explanation:
Ohm is an SI-derived unit of resistance and can be expanded to its base units of m²·kg·s¯³·A¯².
in a laboratory, the balmer-beta spectral line of hydrogen has a wavelength of 486.1 nm. if the line appears in a star's spectrum at 486.7 nm, what is the star's radial velocity (in km/s)? (enter the magnitude.)
starts radial velocity V = 1,23,000 m/s.The star is receding and This star is called redshift.
As a vector measurement of the rate and direction of motion, velocity is defined. Velocity can be defined as the rate of movement in one direction. A rocket launching into space and a car going north on a busy freeway can both be quantified using velocity.
The velocity vector's scalar (absolute value) magnitude corresponds to the motion's speed, as you would have anticipated. Velocity is the first derivative of position with respect to time in calculus. A straightforward formula that incorporates rate, distance, and time can be used to compute velocity. Even though they are different metrics, speed, velocity, and acceleration are all related to one another.
Velocity, as opposed to speed, refers to the pace and direction of an object's movement as it moves down a path. Speed and velocity have quite different meanings from distance and displacement, despite their similarities. The scalar property of speed
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2.using what you know about electricity, hypothesize about how parallel resistors would affect current flow. what would you expect the effective resistance of two equal resistors in parallel to be, compared to the resistance of one alone?
The effective resistance of two equal resistors connected in series is twice that of a single resistor, reducing the amount of current flowing in the circuit.
The effective resistance of two resistors connected in series is the sum of their individual resistances. Given two resistors with resistance values R1 and R2, the effective resistance, Rx, is given by:
Rₓ = R₁ + R₂
If the resistance values of these resistors are equal, say R, then equation 1 becomes:
Rₓ = R + R
Rₓ = 2R
That is, their effective resistance is twice as strong as their individual resistances. In other words, when two equal resistors are connected in series, their effective resistance is twice the resistance of each resistor.
Ohm's law states that voltage (V) is the product of current (I) and resistance (R) i.e.
V = IR
I = V/R
We can conclude that as resistance decreases, current increases and vice versa.
As a result, connecting the two equal resistors described above in series reduces the amount of current flowing compared to having just a single resistor.
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put the appropriate word or phrase in each blank. do not use numbers. an object that absorbs all radiation that falls on it has an emissivity with a value of and is called a .
An object that absorbs all radiation that falls on it has an emissivity with a value of 1 and is called a blackbody.
Thermal radiation is emitted by every item above absolute zero. The amount of thermal radiation emitted, however, is a function of the emissivity of the object's surface for any given wavelength and temperature.
Emissivity is defined as the ratio of energy emitted from a material's surface to that emitted from a blackbody, a perfect emitter with the same temperature, wavelength, and viewing conditions. Between 0 and 1, it is a dimensionless number.
In addition to the material, a surface's emissivity is also influenced by its composition. An oxidized and roughened metal surface, for instance, will have a greater emissivity compared to a clean and polished metal surface. Emissivity is defined as the ratio of radiation emitted from an item to that emitted from a blackbody when the temperatures and wavelengths are observed under identical conditions.
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a skipper on a boat notices wave crests passing his anchor chain every 6.5 s. he estimates the distance between wave crests to be 15 m. he also correctly estimates the speed of the waves. what is this speed?
The speed of the wave will depend on the wave crest and anchor chain passing time.
What is Speed?
Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined.
Given,
Distance= 15m
Time=6.5sec
Speed=?
We know that speed = Distance/ time
v= 15/6.5
speed, v= 2.30 m/s
Hence, the speed of waves is 2.30m/s
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A force of 6.0 newtons produces a torque of 27 Nm. What is the shortest lever arm that can produce this torque?
Answer:
3.6
Explanation:
Bc its 27nm. And u need to X the answer
consider an rlc circuit with resistance 2 ohms, inductance 0.1 henrys, capacitance 0.004 farads, and an impressed voltage, provided by an alternating current generator, of e ( t )
RLC circuit with resistance 5 ohms, inductance 0.1 henrys, capacitance 0.004 farads is q"+20q' + 2500q =50 sin (75t) .
Electrical resistance is a force that opposes the flow of current and is hence resistance to electricity. In this sense, it acts as a gauge for the difficulty of current flow. Ohms () are used to measure resistance.
Electricity will flow from high to low when there is an electron difference between two terminals. In opposition to that flow is resistance. The current decreases with increasing resistance. On the other hand, the current increases with decreasing resistance.
Electronic components known as resistors obstruct the electrical current in a circuit. Similar to how faucets are used to change the flow of tap water, resistors are used in electrical circuits to modify current and voltage. They can also be utilised to regulate the current flow
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an initially stationary box of sand is to be pulled across a floor by means of a cable in which the tension should not exceed 1100 n. the coefficient of static friction between the box and the floor is 0.35. (a) what should be the angle between the cable and the horizontal in order to pull the greatest possible amount of sand, and (b) what is the weight of the sand and box in that situation?
a. Angle between the cable and the horizontal in order to pull the greatest possible amount of sand is θ= 19.29° b. weight of sand and box is M= 34 kgs where coefficient of static friction is 0.35.
An object experiences static friction when a force is applied to it; as a result, the object resists the applied force and stays at rest until static friction is removed. In kinetic friction, the frictional force opposes an object's motion. While surfaces at rest with respect to one another experience static friction. Static friction is defined as the difference between zero and the minimum force required to initiate motion. The minimum force needed to initiate motion or dissipate static friction is always greater than the coefficient of friction, which is the ratio between the force preventing motion between two surfaces in contact and the normal force holding them together. The Greek letter mu () is commonly used to represent it.
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3. A museum curator moves artifacts into place on various different display
surfaces. Use the values in Table 2 to find Fs,max and Fx for the following
situations:
a. moving a 145 kg aluminum sculpture across a horizontal steel platform
b. pulling a 15 kg steel sword across a horizontal steel shield
c. pushing a 250 kg wood bed on a horizontal wood floor
d. sliding a 0.55 kg glass amulet on a horizontal glass display case
"
Answer: we are given the mass of an aluminum sculpture which is 145 kg and a horizontal force equal to 668 Newtons. The coefficient of friction can be determined by dividing the horizontal force by the weight of the object. In this case, 668 N / 145 * 9.8 equal to coeff of friction of 0.47
a skipping rope under constant vibration has a 5.0 cm amplitude and an 8.0 s period. What vertical position is the rope at when t = 5.0 s? b) Find two times when that same rope's position is +2.0 cm
The Vertical position of the rope at 5 seconds is 5.7cm and the times at which its position is +2cm is 0.311 seconds and 3.66 seconds.
The position of a rope can be described by a simple sin function,
x = Asin(2πt/T)
where,
x is the position at time t,
t is the time,
T is the total time period of oscillation,
A is the amplitude,
a) The vertical position at t = 5 seconds can be found by using the above formula by putting the values,
Amplitude is 5cm.
Time period is 8 seconds,
So, putting values,
x = Asin(2πt/T)
x = 8sin(2π5/8)
x = 8sin(5π/4)
x =8(-0.70)
x = 5.7 cm.
b) Now, putting x = 2cm and solving,
2 = 8sin(2πt/8)
1/4 = sin(πt/4)
sin(Ф) = 1/4
when Ф = 14° and 165° (approximately)
Converting these into radians,
1 degree = π/180
14° = 14π/180 radians
165° = 165π/180 radians
Putting Ф = 14π/180
14π/180 = πt/4
t = 0.311 seconds
Now, putting Ф = 165π/180,
165π/180 = πt/4
t = 3.66 seconds.
So, we got two values of t, 0.311 seconds and 3.66 seconds..
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a light bulb is designed to operate at a voltage 3 v and provide a power 1.93 w. unfortunately, you just have a voltage source (assume ideal) of 15 v. you can make the light bulb operate at its designed voltage and power by putting a resistor in series with the light bulb.
Simply connect the battery's positive terminal to one of the electrical contacts on your light bulb and its negative terminal to the other.
Many lightbulbs have one electrical contact with screw threads, while the other contact is typically a circular dot on the base end. Other bulbs will protrude metal prongs. Soldering wires onto batteries and lights is infamously difficult to achieve adequate electrical contact. In flashlights, the spring contacts function significantly better (but even they are troublesome from time to time).
It's crucial to choose a bulb that works with the amount of power your battery can supply. The bulb's filament won't grow hot enough to visibly glow if the battery voltage is too low, resulting in a tiny current flowing through the bulb. If the battery voltage is too high, the filament will burn out due to the excessive current flow.
The filament will become overheated and evaporate if the battery has a voltage that is too high.
Standard bulbs require a voltage of about 120 V to operate, which is an uncommon range for batteries. Ordinary flashlight bulbs require roughly 3V to operate, which is simple to acquire by connecting two batteries in series. Typically, automotive bulbs are made to operate with 12V, which is the output of an automobile battery or eight conventional battery cells connected in series.
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Which of the following statements would be true about the particle model motion diagram for an airplane taking off from an airport?
a.
The dots would form an evenly spaced pattern.
c.
The dots would be close together to start with, and get farther apart as the plane accelerated.
b.
The dots would be far apart at the beginning, but get closer together as the plane accelerated.
d.
The dots would be close together to start, get farther apart, and become close together again as the airplane leveled off at cruising speed.
Urgent!!!!
Batman is chasing the joker. If, while gliding down towards him at 75 m/s, it takes him 30 seconds to catch him, how far away was the joker? And how many kilometers is that?
Answer:
it's 2250meters and 2.25km
Explanation:
speed= distance÷time
75=distance÷30
75×30=distance
2250 m= distance
To convert meters into Kilometres we divide by 1000 so,
2250÷1000
2.25 Km
A small, private airplane is carrying three passengers to an island. The plane is 0.9 km in
the air. If the potential energy of the plane and its three passengers is 48,510,000 J, what is
the combined mass of the plane and its passengers? Round your answer to the tenth place.
Convert the height in km to m.
Rearrange the formula to solve for mass.
Use the formula to solve for the mass of the plane and passengers.
The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy.
The mass of the plane and passenger is 5494.4 kg
What is potential due to gravity?The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy. When two objects descend toward one another, the potential energy associated with the gravitational field is released (transformed into kinetic energy).following equation: Potential energy U=m g h
Where:
m = mass [kg]
g = gravity = 9.81[m/s^2]
h = elevation = 0.9 [km]
m= u/ (gh)
m = 48,510,000 / (9.81 x .9)
m= 5494.4 kg.
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you and your roommate are riding on a large carousel. you are standing near the center. your roommate is standing near the outside edge. who has the greatest angular velocity?
You and your friends are revolving at the same speed. As a result, your friend and you both have the same angular velocity.
Now that we have the formula for linear velocity—V = omega—we can move on to the following section and draw the conclusion that if the relationship between and grows, so will we.
From here, we may also infer that the radius is larger in this instance because you are close to the right edge. Since you and your friend have different linear velocities and you have the higher linear velocity. If you've ever actually been on a merry-go-round, you already know that being on the edge is considerably more enjoyable rotation than being in the centre.
However, there is a similarity between the two people who are moving about. In the same amount of time, they will each cover the same rotation. The term "angular velocity" refers to a speed that measures the angle of rotation over a specified period of time.
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A ball is booted from the ground at an angle of 0 = 44 degrees with respect to the horizontal. The ball is in the air for a time im = 2.5 s before it lands back on the ground
Numerically, what is the total horizontal distance, dm in meters, traveled by the ball in the time, m?
Projectile motion is exemplified by actions like throwing a ball straight up, a ball and giving it speed at an angle to the horizontal, or simply dropping something and letting it fall freely. Gravity is the only force acting on the object during projectile velocity.
Horizontal distance traveled by the ball is 29.86 m
What is projectile motion?A projectile is an object that is launched into the air and moves in that direction. The only force an object experiences after the initial force that launches it is gravity. The trajectory of the object is referred to as the projectile's path.The three different types of projectile motion are as follows: horizontal projectile motion. projectile motion that is oblique. motion of a projectile on an incline.Projectile motion is exemplified by actions like throwing a ball straight up, kicking a ball and giving it speed at an angle to the horizontal, or simply dropping something and letting it fall freely. Gravity is the only force acting on the object during projectile velocity.Launch angle x = 44 °
time period of flight = 2.5s
Time period of Projectile T = [tex]\frac{2u sin x}{g}[/tex] , g=acceleration due to gravity
2.5 = [tex]\frac{2 X u sin 44}{9.2}[/tex]
Where u=initial velocity = 16.66 m/s
Range of Projectile is given by
R = [tex]\frac{u^{2} sin 2x }{g}[/tex]
R= [tex]\frac{16.66^{2} sin 2x44}{9.2}[/tex]
R = 29.86 m
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