The tension in each of the two wires supporting the street lamp can be calculated using trigonometry. The tension in each wire will be the same and can be found using the weight of the street lamp and the angle between the wires. The tension in each wire is approximately 164.63 N.
Explanation:The tension in each of the two wires supporting the street lamp can be calculated using trigonometry. Since the street lamp is supported equally by the two wires, the tension in each wire will be the same. To find the tension, we can use the relationship between the weight of the street lamp and the vertical component of the tension. The vertical component of the tension can be found by using the angle between the wires and the weight of the street lamp.
Given: Weight of the street lamp (W) = 158 N, Angle between the wires (θ) = 104°
Using trigonometry, we can find the vertical component of the tension (T) using the equation:
T = W / sin(θ)
Substituting the given values, we get:
T = 158 N / sin(104°)
T ≈ 164.63 N
Therefore, the tension in each of the two wires supporting the street lamp is approximately 164.63 N.
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You are standing in a moving bus, facing forward, and you suddenly move forward as the bus comes to an immediate stop. what force caused you to move forward?
Beth wants to maximize her chances of winning the bowling tournament so she tests several balls to find the best fit. She exerts the same 14 N of force to propell the bowling ball down the lane. Will a 3.2 kg, 3.6 kg, 4.1 kg, or 4.5 kg ball provides the fastest acceleration?
A) 3.2 kg ball
B) 3.6 kg ball
C) 4.1 kg ball
D) 4.5 kg ball
Answer:
A) 3.2 kg ball
Explanation:
To solve this problem we must apply Newton's second law of motion, and it states:
"The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object."
[tex]F=m*a[/tex]
Being:
F= net force
m=mass of the object
a= acceleration
As acceleration is inversely proportional to mass, we conclude that to have fastest acceleration Beth should use the lighter ball of 3.2Kg mass.
If a fly sits halfway between the axis and the edge of a rotating phonograph turntable, what happens to its tangential speed when the RPM is tripled?
Answer:
Tripled
Explanation:
The relation between the tangential speed and the angular speed is given by
v = r ω
where, r is the radius of the circular path and ω be the angular velocity
As we know that
ω = 2π f
Where, f is the frequency of rotation in rpm
So, v = 2π f r
As the RPM becomes tripled, the tangential velocity is also tripled.
The specific heat of water is 4190 j/(kg*k). suppose you put 1 kg of water (a bit over 4 cups) into a microwave that can deliver 1000 w of power to the water when it is running at full power. roughly how long will you need to run the microwave at full power in order to raise the temperature of the water by 10°c?
If we double the mass of the sun, what would happen to the gravitational force between the sun and earth?
Venus has about 80 percent of earth's mass and about 95 percent of earth's radius. your weight on venus will be
The amount Of Kinetic energy an object has depends on its?
A. Motion
B. Position
C. Gravity
D. Height
jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12293 m/s. what is the radius of jupiter?
Exact answer is 69,912 km
The magnitude of the electrical force acting between a +2.4 × 10–8 C charge and a +1.8 × 10–6 C charge that are separated by 0.008 m is N, rounded to the tenths place.
The mass of a basketball is three times greater then the mass of a softball. Compare the momentum’s of a softball and a basketball if they both are moving at the same velocity.
Final answer:
Momentum depends on mass and velocity, and in this scenario, the basketball will have three times more momentum than the softball despite moving at the same velocity. Understanding momentum is key in analyzing the effects of collisions and interactions involving objects of different masses and velocities.
Explanation:
Momentum is a measure of how hard it is to stop an object and depends on both mass and velocity. The momentum of an object (p) is given by the product of its mass (m) and velocity (V): p = mV. In the given scenario, if a basketball has three times greater mass than a softball but both are moving at the same velocity, the basketball will have three times more momentum compared to the softball.
This difference in momentum reflects the impact a player with a greater mass but the same velocity can have in collisions, as momentum is crucial in determining the effect of such interactions. Therefore, if the mass of the softball is m, and the velocity of both the softball and basketball is v, then the momentum of the softball will be m × v and the momentum of the basketball will be 3m × v, which is three times greater than that of the softball.
A car initially traveling at a speed of 16 meters per second accelerates uniformly to a speed of 20 meters per second over a distance of 36 meters. what is the magnitude of the car's acceleration?
The formula for calculating acceleration can be derived from:
v^2 = v0^2 + 2 a d
where a is acceleration, v is final velocity, v0 is initial velocity and d is distance
Rewriting in terms of a:
a = (v^2 – v0^2) / 2 d
a = (20^2 – 16^2) / (2 * 36)
a = 2 m/s^2
The magnitude of the car's acceleration is
[tex]\rm 2\;m/sec^2[/tex]
Step by Step Solution :
Given :
Final Speed, v = 20 m/sec
Initial Speed, u = 16 m/sec
Distance Covered, s = 36 m
Calculation :
We know that,
[tex]\rm v^2-u^2=2as[/tex] --- (1)
Now from equation (1),
[tex]20^2-16^2=2\times a\times 36[/tex]
[tex]a =\dfrac{20^2-16^2}{2\times36}[/tex]
[tex]\rm a = 2 \; m/sec^2[/tex]
The magnitude of the car's acceleration is
[tex]\rm 2\;m/sec^2[/tex]
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What is the relationship between color and wavelength for light?
Color is the frequency of the light and wavelength is the speed of that light. Depending on the color it will have a higher frequency and a smaller wavelength while another will have a lower frequency and a longer wavelength so that the colors will even out. Hope this helps.
The color of light is determined by its wavelength. In the visible light spectrum, longer wavelengths are perceived as red, while shorter wavelengths are perceived as blue or violet. This is evident in phenomena like rainbows.
Explanation:The relationship between color and wavelength for light is that the color of light that we perceive is determined by the wavelength of the light. In the visible light spectrum, each color corresponds to a different range of wavelengths. For instance, red light has longer wavelengths (about 700 nM to 635 nM), whereas blue or violet light has shorter wavelengths (around 450 nM to 400 nM). This is why when we see a rainbow, it is a gradation of colors from red (long wavelength) at the top to violet (short wavelength) at the bottom. This happens because of the refraction and dispersion of light in droplets of water.
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Determine the energy in joules of a photon whose frequency is 3.55 x10^17 hz
Planck's equation can be used as a formula to determine the energy of a photon. In this problem, given the frequency and using 6.63 x 10^-34 J.s as Planck's constant, the energy can be calculated. This Physics concept is useful in understanding the energy-frequency relationship of photons.
Explanation:Solution
To calculate the energy of a photon, we can use the Planck's equation E = hv, where 'E' is the energy of the photon, 'h' is the Planck's constant and 'v' is the frequency of the photon.
In this case, the frequency of the photon 'v' is given as 3.55 x 10^17 Hz and Planck's constant 'h' is a universally accepted constant which is 6.63 x 10^-34 J.s. Substituting these values into Planck's equation we get:
E = 6.63 x 10^-34 J.s x 3.55 x10^17 Hz
Upon calculating, the energy in Joules of the photon can be found.
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The prefix milli- means one thousandth, or 10 –3 . how many milliseconds (ms) are in 6.7 seconds?
The scientist who showed that gravity accounts for kepler's laws of planetary motion was
When the mass of an object decreases, the force of gravity
a. remains unchanged.
b. decreases.
c. increases.
d. becomes irregular.
Mechanical waves require a ____________ to travel through but electromagnetic waves can travel through empty space.
300,000 kilo
your welcome
When a 40-n force, parallel to the incline and directed up the incline, is applied to a crate on a frictionless incline that is 30 above the horizontal, the acceleration of the crate is 2.0 m/s2 , up the incline. the mass of the crate is:?
To find the mass of the crate on a frictionless incline with a known force and acceleration, use Newton's second law. The mass is calculated as 40 N divided by 2.0 m/s^2, resulting in 20 kg.
Explanation:To determine the mass of the crate on an incline, you can use Newton's second law of motion, which is F = ma, where F is the force, m is the mass, and a is the acceleration. In this case, we know the force applied up the incline (40 N), the acceleration of the crate (2.0 m/s2), and we need to determine the mass m. The equation can be rearranged to solve for mass by dividing both sides by acceleration, resulting in m = F/a. Thus, dividing the force by the acceleration, you get m = 40 N / 2.0 m/s2 = 20 kg. So, the mass of the crate is 20 kilograms.
A model rocket flies horizontally off the edge of a cliff at a velocity of 50.0 m/s. If the canyon below is 100.0 m deep, how far from the edge of the cliff does the model rocket land?
First calculate for the time it takes for the model rocket to reach the land. Using the formula:
h = vi t + 0.5 g t^2
where h is height = 100 m, vi is initial vertical velocity = 0 since it simply dropped, t is time = ?, g = 9.8 m/s^2
100 = 0.5 (9.8) t^2
t = 4.52 seconds
So the total horizontal distance taken is:
d = 50 m/s * 4.52 s
d = 225.90 m
The distance from the edge of the cliff where the model rocket will land is ; 225.90 m
Using the given data :
Velocity of rocket = 50.0 m/s
Depth of canyon ( H ) = 100 m deep
Initial velocity ( vi ) = 0
To determine how far from the edge of the cliff does the model rocket land
H = vi( t ) + 0.5gt²
100 = 0.5*(9.8)*t²
∴ t = 4.52 secs
Velocity = horizontal distance / time
∴ distance ( horizontal distance ) = velocity * time
distance = 50 m/s * 4.52 secs = 225.90 m
Hence we can conclude that The distance from the edge of the cliff where the model rocket will land is ; 225.90 m .
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How many position coordinates are required to identify the position of a system undergoing one-dimensional motion? What symbol should use to identify systems position and one-dimensional motion?
Both car a and car b leave school at the same time, traveling in the same direction. car a travels at a constant speed of 74 km/h, while car b travels at a constant speed of 90 km/h. how far is car a from school 1.5 h later? answer in units of km.
Answer:
Δs=24 km
Explanation:
vA=74km/h
vB=90km/h
tA=tB=1,5h
Δs=?
sA=vA*tA
sB=vB*tB
Δs=sB-sA
Δs=vB*tB-vA*tA, tB=tA=t
Δs=t*(vB-vA)
Δs=1,5h*(90km/h-74km/h)
Δs=1,5h*16km/h
Δs=24 km
When a car is braked to a stop, its kinetic energy is transformed into:?
Answer:
the kinetic energy is transformed into heat energy evident by the warmth of the tires and is dissipated.
When a car is braked to a stop, its kinetic energy is transformed into heat energy.
What is law of conservation of energy?Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present. The law of energy conservation is adhered to by all energy forms.
In a nutshell, the law of conservation of energy asserts that the system's total energy is conserved in closed systems, or systems that are separated from their environment.
When a car is braked to a stop, its kinetic energy works against friction and transformed into heat energy as the law of conservation of energy asserts that the system's total energy is conserved in closed systems, or systems that are separated from their environment.
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Every action has an equal and opposite reaction meaning
in every interaction, there is a pair of forces acting on the two interacting objects. The size of the forces on the first object equals the size of the force on the second object. The direction of the force on the first object is opposite to the direction of the force on the second object. Forces always come in pairs - equal and opposite action-reaction force pairs.
The word family implies that the elements in a family have like properties. What property do the elements of the noble gas family all share?
Answer:
They are chemically inert
Explanation:
Noble gases as the name suggest are gases. So that is one of the similarities that they share. But their more important similar property is that they are chemically inert i.e they are unreactive. This is due ti the fact that they have full outer energy levels which is why they never take part in chemical reactions because their electronic structure is already stable.
Which of the following most likely has neither a fixed shape nor a fixed volume?
A) neon gas
B) solid copper
C) liquid nitrogen
D) liquid Mercury
Which of the following is an example of a PHYSICAL change?
Ice melting
Rust on a nail
Both
Neither
A mug rests on an inclined surface, as shown in (Figure 1) , θ=17∘.
What is the magnitude of the frictional force exerted on the mug?
What is the minimum coefficient of static friction required to keep the mug from sliding?
The magnitude of frictional force exerted on the mug is [tex]\fbox{\begin\\\left( {2.865} \right)m\end{minispace}}[/tex] and the coefficient of static friction is [tex]\fbox{\begin\\0.31\end{minispace}}[/tex].
Further explanation:
The opposition that every object feels when it moves is known as the frictional force. This is an opposing force. It always acts in the opposite direction of the motion of the object.
Given:
The angle of inclination of plane is [tex]{17^ \circ }[/tex].
The acceleration due to gravity is [tex]9.8\,{\text{m/}}{{\text{s}}^{\text{2}}}[/tex].
Concept used:
The frictional force is defined as the opposition of motion of any object or body. It is also defined as the product of coefficient of friction to the normal force exerted on the body.
The expression for the net force exerted on the mug is given as.
[tex]{F_{{\text{net}}}} = mg\sin \theta[/tex] …… (1)
Here, m is the mass of the mug, g is the acceleration due to gravity and [tex]\theta[/tex] is the inclination angle.
The force that keeps the body at rest is known as the static friction force. It also acts in the opposite direction of motion of body.
The expression for the static frictional force is given as.
[tex]{F_s} = {\mu _s}N[/tex] ..…. (2)
Here, [tex]{\mu _s}[/tex] is the coefficient of static frictional force and N is the normal force exerted on the body.
When mug is placed on the inclined plane the static frictional force is equal to the frictional force. The vertical component of weight is balanced by the normal reaction of the mug.
The expression for the normal force is given as.
[tex]N - mg\cos \theta=0[/tex]
Rearrange the above expression.
[tex]N = mg\cos \theta[/tex]
Substitute [tex]mg\cos \theta[/tex] for N in equation (2).
[tex]{F_s}={\mu _s}\left( {mg\cos \theta } \right)[/tex]
Here static frictional force is same as the frictional force exerted on the mug.
Substitute [tex]mg\sin \theta[/tex] for [tex]{F_s}[/tex] in above expression and rearrange it.
[tex]{\mu _s} = \dfrac{{\left( {mg\sin \theta } \right)}}{{\left( {mg\cos \theta } \right)}}[/tex]
Rearrange the above expression.
[tex]{\mu _s} = \tan \theta[/tex] …… (3)
Substitute [tex]{17^ \circ }[/tex] for[tex]\theta[/tex] and [tex]9.8\,{\text{m/}}{{\text{s}}^{\text{2}}}[/tex] for g in equation (1).
[tex]\begin{aligned}{F_{{\text{net}}}}&=m\left( {9.8\,{\text{m/}}{{\text{s}}^{\text{2}}}}\right)\sin \left({{{17}^\circ}}\right)\\&=\left( {2.865}\right)m\\\end{aligned}[/tex]
Substitute [tex]{17^ \circ }[/tex] for [tex]\theta[/tex] in equation (3).
[tex]\begin{gathered}{\mu _s}=\tan \left( {{{17}^ \circ }} \right)\\=30.06\\\end{gathered}[/tex]
Learn more:
1. Motion under friction https://brainly.com/question/7031524.
2.Conservation of momentum https://brainly.com/question/9484203.
3. Net force on the body https://brainly.com/question/6125929.
Answer Details:
Grade: College
Subject: Physics
Chapter: Kinematics
Keywords:
Friction, acceleration, carpeted floor, mug, inclined plane, force, relative motion, motion, net force, oppose, 9.8 m/s2, 17 degree, 0.67 m/s^2, 30.056, 30.06, 31,(2.865)m,(2.87)m.
Which pulls harder gravitationally, the earth on the moon, or the moon on the earth? which accelerates more?
Answer:
the earth the earth pulls the moon tuords it the earth has more mass and the reason why the moon does not just crash into the moon is
The law of Conservation of Matter states tht during a chemical reaction, the amount of matter
Koto walks 3 blocks north, 4 blocks west, thenb3 blocks south. If her starting place is the reference point how far away is her final position?