The gravitational force acting down the inclined plane is 206.19N
The force acting along the inclined plane is opposite the frictional force and the formula to express it is:
[tex]F_{m}[/tex]= F sinФ
It is given that
F = 299.7N
Ф = 43.5 degree
Putting the value we have:
[tex]F_{m}[/tex] = 299.7 sin 43.5°
= 299.7 (0.688)
= 206.19N
Therefore the gravitational force acting down the inclined plane is 206.19N.
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a flatbed truck is carrying a crate along a level road. the coefficient of static friction between the load and the bed is 0.40. the truck accelerates forward and the crate stays in its place on the truck bed. in what direction is the force that the bed exerts on the crate?
The direction is the force that the bed exerts on the crate Forward.
Friction between the track and the crate holds the crate in place and allows the crate to move with the vehicle. As a result, the crate's frictional force is directed north, in the same direction as the truck's velocity. As mentioned earlier, both the horizontal and vertical forces have a magnitude of 0 so there is no net force on the box. Therefore, the force on the box has no direction.
The net force always has the same direction as the acceleration. For an object in a circular motion with constant velocity, the net force is directed toward the center of the circle around which the object is moving. The frictional force acts on a moving object, and its direction is opposite to the direction of movement. As we walk, our feet are pushed backward so friction works in the opposite direction to counteract the push.
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a. A 2.0 kg object is moving to the right with a speed of 1.0 m/s when it experiences the force shown in Figure P9.7a. What are the object's speed and direction after the force ends?
b. Answer this question for the force shown in Figure P9.7b.
The speed of the object is 3.0m/s and the direction is equal to the direction of its initial velocity.
Given:
mass of the object m=2.0kg
object's constant velocity before the action of the force v0=1.0m/s
From the graph of the force against time,
we can see that the force is constant (F=8.0N)
and it only acts for Δt=0.5s in the same direction of the object's motion (positive direction, to the right).
Now, using impulse-momentum theorem,
J=Δp
The impulse of the force equals the variation in the object's linear momentum.
In scalar form, along the motion's direction, we can write:
FΔt=Δp
The variation in the linear momentum equals: FΔt=mvf−mv0,
where: vf is the unknown final velocity.
Solving for vf, we have:
vf=8.0N⋅0.5s2.0kg+1.0m/s
= 3.0m/s
The object's velocity after the force ends equals 3.0 m/s, moving to the right.
The force increases the velocity of the object because it acts in the same direction as the initial velocity.
Therefore, the object's speed is 3m/s and the direction is the same direction as the initial velocity.
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one metal object is a cube with edges of cm and a mass of g. a second metal object is a sphere with a radius of cm and a mass of g. are these objects made of the same or different metals? assume the calculated densities are accurate to .
density ρ=mass/volume density accuracy > 1%
cube volume = 27 cm^3&mass = 140.4 g Density =140.4/27=5.2g/cm^3 sphere volume = 12 cm^3&mass= 61.6 g Density =61.6/12=0.133g/cm^3
mass per unit volume of a solid substance; density. Density is defined as d = M/V, where M stands for mass, and V for volume. The unit of density that is most frequently used is grammes per cubic centimetre. For instance, the density of Earth is 5.51 grammes per cubic centimetre, while the density of water is 1 gramme per cubic centimetre. Kg per cubic metre is another way to measure density (in metre-kilogram-second or SI units). Air, for instance, has a density of 1.2 kilogrammes per cubic metre. Books and manuals list the densities of typical solids, liquids, and gases. An easy way to determine a body's mass from its volume, or vice versa, is by its density.
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modulus of oil is 5 * 10 ^ 9 * Pa and its compressibility is 2 * 10 ^ - 5 * at * m ^ 1
Exercise 9: The brass plate of an outdoor sculpture experiences shear forces in an earthquake. The plate is 0.8m ^ 2 and 0.5 cm thick. What is the force exerted on each of its edges if the resulting displacement x is 0.16 mm? (Shear modulus = 3.5 * 10 ^ 10 * Pa )
The force exerted on each of its edges at the given shear stress and area is determined as 2.8 x 10¹⁰ N.
What is force exerted on each plate?The force exerted on each plate is calculated by applying the formula for shear stress as shown below.
Shear stress is the force that tends to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Like the name implies, shear stress or forces tends to "shear" object or cause deformation of materials.
F = Aσ
where;
F is the applied A is the area of the surfaceσ is the shear stressSubstitute the given parameters and solve for the force applied to create the shear stress.
F = (0.8 m²) x (3.5 x 10¹⁰ Pa)
F = 2.8 x 10¹⁰ N
Thus, the force exerted on each of its edges resulting in the given displacement increases as the shear stress increases.
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A 900 kg walrus is swimming at a speed of 35 km/hr. What is its kinetic energy?
the initial velocity of a 2.35 kg block sliding down a frictionless inclined plane is found to be 1.31 m/s. then 1.13 s later, it has a velocity of 5.07 m/s. what is the angle of the plane with respect to the horizontal
mg x sin A calculates the force pushing the mass down the hill. Additionally, this force has the same formula: m x a, where an is the actual acceleration in the plane. By dividing the difference between the two speeds by the provided time, or 5.07 m/s - 1.31 m/s / 1.73 s = 4.34 m/s2, the acceleration a may be calculated.
Ma is therefore equal to mg times sin A, or sin A = a / g, or 4.34 m/s2 times 9.81 m/s2 times 0.439.
A = arc sin(0.439)sin(26.0) =
How is friction defined?Friction is a force that prevents two solid objects from rolling or sliding over one another. Although frictional forces, such the traction required to walk without slipping, may be advantageous, they can provide a significant amount of resistance to motion.
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in order to correctly calculate the mass of jupiter, the semi-major axis value needs to be in au instead of jupiter diameters. multiply your amplitude value by 9.545x10-4 au/jd to convert from jupiter diameters to au. calculate and convert the amplitudes for all of the moons in your excel sheet. 7. which of the galilean moons is closest to jupiter and which is the furthest?
The a3=MT2 is a variant of Kepler's third law. Where a denotes the semi-major axis distance in AU, M the central body mass in solar masses, and T the orbital period in years.
These are Jupiter's largest moons, and they were the first four discovered beyond Earth in 1610 by astronomer Galileo Galilei. The mass of Jupiter can be calculated by studying the motion of one of these moons and applying Kepler's third law and Newton's law of universal gravitation. Sending a spacecraft to a planet and measuring the acceleration due to gravity as the spacecraft passes by it is the most accurate way of measuring its mass.
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2
When you drop a 0.37 kg apple, Earth ex-
erts a force on it that accelerates it at 9.8 m/s²
toward the earth's surface. According to New-
ton's third law, the apple must exert an equal
but opposite force on Earth.
If the mass of the earth 5.98 x 1024 kg, what
is the magnitude of the earth's acceleration
toward the apple?
Answer in units of m/s².
The earth's acceleration toward the apple is 6.064×10⁻²⁵ m/s²
What is acceleration?
The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration. According to Newton's Second Law, the amount of an object's acceleration is the combined result of two causes:
The amount of the net resultant force, which is directly proportional to the sum of all external forces acting on that object;
Depending on the materials used to create it, an object's mass is inversely related to its magnitude.
Force on earth = 0.37×9.8 = 3.626N.
Acceleration of earth = 3.626/5.98×10²⁴ = 6.0635×10⁻²⁵ m/s²
Therefore, The earth's acceleration toward the apple is 6.064×10⁻²⁵ m/s²
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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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A cow wanders 30 m North, turns 22 degrees right of its original path, and wanders another 40 m. Find its total displacement.
Answer:OB=58.3m
Explanation:
So here cow wanders 30m in north and turns 22 degrees in right side and moves 40m more, as shown in figure given.
now take the starting point as a origin such that cow moves in x-y co-ordinate axis.
As shown in figure length OA is the length when cow moves in north or y direction. Later she takes 22 degrees turn to right and moves 40m more.
So the final displacement is the length of cow from the origin that is length OB.
now co-ordinates of B are [40cos22°,40sin22°+30] i.e [37.084,44.984]
now displacement of cow= length of OB
= [tex]\sqrt{[37.084]^{2}+[44.984]^{2} }[/tex]
=[tex]\sqrt{3398.78}[/tex]
OB =[tex]58.3[/tex]
Two runners are racing around a cicular track. The first runner is in the inside lane. The second runner is in the outside lane. If the first runner wants to stay side-by-side with the second runner, what does her angular velocity need to be?.
If the first runner wants to stay side-by-side with the second runner, The angular velocity needs to be the same as they would then cover equal angular distance for a period of time.
An equal angular distance means that it would always be side to side.In order to do this, the first runner needs to run at a faster speed than the second runner. This is because the second runner is running in a larger circle than the first runner, so she covers more ground in the same amount of time. The first runner needs to make up for this by running at a faster speed.
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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.
An object weighs 350 N. Find its mass.
Use g = 10 m/s².
Answer:
Explanation:
Given:
F = 350 N
g = 10 m/s²
___________
m - ?
m = F / g = 350 / 10 = 35 kg
Calculate the potential energy of a 50 kg diver on board 5 meters above the water
The Potential energy is 2450 J.
Potential energy = mgh
m = mass of an object
g = acceleration due to gravity
h = height of an object where it is placed
Put these values in formula, mgh
Potential energy = mgh
Potential energy = 50×9.8×5
Potential energy = 2450 J
Potential energy is stored energy in an object. Potential energy is the product of mass of an object, acceleration due to gravity and height of an object where it is placed.
The S.I. unit of potential energy is joule and is represented by J.
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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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hi the picture attached is my question on my homework
ANSWER:
Sphere B
STEP-BY-STEP EXPLANATION:
The time of the air depends on the mass, initial velocity and the height of the object, having the same mass and the same height, it depends only on the initial velocity.
The higher the initial velocity, the shorter the time in the air, therefore in this case the sphere B that has a lower velocity will be the one that will spend the longest time in the air.
extend your answer to question 5: what will be the final velocity of cart b if it is infinitely more massive than cart a? what will be the maximum velocity of cart b when it is of infinitesimal mass compared to cart a?
A common occurrence is the collision of a moving object with another object, after which both objects stick together. Because there is no bounce, such a collision is referred to as inelastic.
Inelastic collisions occur when kinetic energy is lost. An elastic collision, on the other hand, is one in which the kinetic energy after is equal to the kinetic energy before. Inelastic collisions occur when there is some "bounce" but the final kinetic energy is less than the initial kinetic energy. A collision with no bounce is sometimes referred to as completely inelastic. Collisions that are completely inelastic result in the objects sticking together and lose the most kinetic energy.
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our electric drill rotates initially at 5.47 rad/s.5.47 rad/s. you slide the speed control and cause the drill to undergo constant angular acceleration of 0.379 rad/s20.379 rad/s2 for 4.05 s.4.05 s. what is the drill's angular displacement during that time interval?
31.257 radian is the drill's angular displacement during that time interval.
initial angular speed ω0 = 5.27 rad/sec , ang.acceleration α = 0.399 rad/s2 , time t = 4.99 sec
angular displacement
θ = ω0 t + 1/2×αt^2
solving we get
θ = 31.257 rad
The angle at which a point revolves about a center or a line around a certain axis is known as the angular displacement of a body. We cannot examine a body's motion as a particle when it is moving or being rotated on its axis.
Rotational motion is the movement of a rigid body about a fixed axis. When the body or item is thought of being rigid, dealing with rotation is made simpler and easier. At every moment (t), the item experiences a change in acceleration and velocity similar to circular motion.
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When air expands it and it is warm outside then the air is ________________________
When air expands it is warm outside then the air is contracted and becomes cool.
What is air?The atmosphere of Earth or also known as air is the layer of gases retained by Earth's gravity that surrounds the planet and forms its planetary atmosphere.
When warm air expand, the molecules heat and move faster makin them to move apart. So we know that air expands when heated and contracts when cooled, the reason for that is because there is more space between the molecules, the air is less dense than the surrounding matter and the hot air floats upward.
Atmospheric convection helps us to understand that as air heats up and becomes less dense, it rises higher into the air. As it reaches higher elevations, it encounters less air pressure. The lower air pressure at higher elevations allows the air to expand even more. As this air continues to expand, it begins to cool down.
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State reason why water spilled on glass surface wets the surface
What is Kepler's laws of planetary motion?
Answer:
Kepler's laws of planetarymotion :law of orbit - Every planet moves in an elliptical orbit around the sun, with the sun being at one of the fociilaw of areas - The radius vector drawn from the sun to the planet sweeps out equal areas in equal intervals of time i.e., the areal velocity of a planet is constant law of periods or Harmonic law - The square of the period of revolution (T) of a planet around the sun is proportional to the cube of the semi-major axis r of the ellipse .T² ∝ r³
Hope it's help you :))Specific heat capacities are tabulated in units of j/g⋅k, but most temperature measurements are made in units of celsius. If a system is initially at 5°c and is heated to 10°c, what is the change in temperature in kelvins?.
The change in temperature in kelvin, given that the system was heated from 5 °C to 10 °C is 278 K
How to determine the change in temperatuerWe'll begin by obtaining the change in temperature in degree Celsius. This can be obtained as follow:
Initial temperature (T₁) = 5 °CFinal temperature (T₂) = 10 °CChange in temperature (ΔT) =?ΔT = T₂ – T₁
ΔT = 10 – 5
ΔT = 5 °C
Finally, we shall convert 5 °C to unit in kelvin. This can be obtained as follow:
Change in temperature (in °C) = 5 °CChange in temperature (in K) = ?T(K) = T(°C) + 273
T(K) = 5 + 273
T(K) = 278 K
Thus, from the above calculation, we can conclude that the change in temperature is 278 K
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A football player throws a football 30 meters in 2.5 seconds. What is the speed of the ball?A 75 m/sB 12 m/sC 30 m/sD 2.5 m/s
Given,
The distance covered by the football, d=30 m
The time it takes for the football to cover the given distance, t=2.5 s
The speed of an object is given by the ratio of the distance covered by the object to the time it takes for the object to cover that distance.
Thus the speed of the ball is given by,
[tex]s=\frac{d}{t}[/tex]On substituting the known values in the above equation,
[tex]\begin{gathered} s=\frac{30}{2.5} \\ =12\text{ m/s} \end{gathered}[/tex]Thus the speed of the ball is 12 m/s
Therefore the correct answer is option B.
NEED HELP URGENTLY FOR 10 POINTS!
Answer:
when he shot a beam of alpha particles at a sheet of gold foil, a few of the particles were deflected. He concluded that a tiny, dense n)ucleus was causing the deflections. SO the 3rd option :)
Explanation:
its like 4 a_m r)n why am i on brainly id_k have a nice day !
an electric motor rotating a workshop grinding wheel at a rate of 103 rev/min is switched off with a constant deceleration of 1.96 rad/s 2 . how long does it take for the grinding wheel to stop? answer in units of s.
5.45 second it will take for the grinding wheel to stop an electric motor rotating a workshop grinding wheel at a rate of 103 rev/min is switched off with a constant deceleration of 1.96 rad/s 2
ω1 = 2π(103/60) = 10.7 rad/s
ω2 = 0
α = -1.96 rad/s^2
time t = (ω2 - ω1)/α
= 10.7 / 1.96
= 5.45s
θ = ω1t + (1/2)αt^2
= 58.31 - 29.12 = 29.21
Generally speaking, deceleration is a decrease in acceleration. When an object's speed decreases with respect to time, it is said to be decelerating. In contrast to acceleration, deceleration involves a negative rate of change in velocity.
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What is the height a football is
kicked when it leaves the players
foot at 30 m/s in a 29° angle?
Answer:
Vy = V0 * sin θ vertical speed
Vy = 30 m/s * sin 29 = 14.5 m/s
t = 14.5 m/s / 9.8 m/s^2 = 1.48 sec time to reach max height
H = Vy t - 1/2 g t^2 acceleration is in opposite direction to initial Vy
H = 14.5 m/s * 1.48 s - 1/2 * 9.8 m/s^2 * (1.48 s)^2
H = 10.7 m
A ball rolls down a ramp for 15 seconds. If the initial velocity of the ball was 2.1 m/sec and the final velocity
was 7.3 m/sec, what was the acceleration of the ball?
Answer: a=.347
Explanation: Acceleration can be calculated by subtracting the initial velocity (2.1 m/s) from the final velocity (7.3) and dividing the difference by the time (15s).
[tex]\frac{7.3-2.1}{15} = .347[/tex]
If a high tide occurs at 6 A.M. and 6 P.M. At what time will the low tides occur?
The time it takes for the water along the shore to go from high to low and back again is six hours and 12.5 minutes between high tides, which happen every twelve hours and twenty-five minutes.
How long does it take for the tide to change from high to low?
six days, twelve and five minutes
Coastal locations see two high and two low tides every 24 hours and 50 minutes because the Earth spins through two tidal "bulges" every lunar day. There are 12 hours and 25 minutes between high tides. The sea level at the shore can change from high to low or from low to high in six hours and 12.5 minutes.
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the heating coil in a hair dryer is made of nichrome wire with a radius of 0.275 mm. if the coil draws a current of 8.85 a when there is a 120 v potential difference across its ends, find the following. (take the resistivity of nichrome to be 1.50 ✕ 10−6 ω · m.)
The resistance of the coil R IS 12.435Ω and The length of the wire that is calculated from R= ρL/A is L = 1.97 m.
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. Conversely, the higher the current, the lower the resistance. In theory, resistance is affected by the kind, temperature, and length of the material through which the electricity is flowing. Metals generally have low electrical resistance, which varies depending on the type of metal, which makes electricity flow through them more easily.
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rank in order, from largest to smallest, the magnitudes of the horizontal forces f1 , f2 , and f3 acting on the arrows. some may be equal. state your reasoning.
The ranking in order from largest to smallest of the magnitudes of the horizontal forces f1 , f2 , and f3 acting on the arrows is F1=F2=F3>0 because there is no change in the horizontal motion of the arrows.
All three arrows in the scenario have been shot and it is assumed that air resistance can be neglected. With the motion of the arrows in horizontal direction, there is no likely change in the horizontal motion of the three arrows. This makes the three forces equivalent to one another and each force is equal to zero (i.e. F1=F2=F3=0).
Here's the complete question:
Rank in order, from largest to smallest, the magnitudes of the horizontal forces F1, F2, and F3 acting on the arrows. Some may be equal. State your reasoning. Rank in order, from largest to smallest, the magnitudes of the horizontal forces , , and acting on the arrows. Some may be equal. State your reasoning.
a. F3>F1=F2 because the mass of the first arrow is equal to the mass of the second arrow which is less than the mass of the third arrow.
b. F1=F2=F3=0 because there is no change in the horizontal motion of the arrows.
c. F1>F2=F3 because the velocity of the second arrow is equal to the velocity of the third arrow which is less than the velocity of the first arrow.
d. F1=F2=F3>0 because there is no change in the horizontal motion of the arrows.
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