1. A 15.0 kg box is hung from the ceiling by one rope. What is the tension on the rope? 2. A 1510 kg car is experiencing a 2650 N friction force from the road. What force must be applied to the car in
1. The tension on a rope suspending a 15.0 kg box from the ceiling is 147 N, acting in the opposite direction to counterbalance the weight of the box.
2. To overcome the friction force from the road and maintain a constant velocity, an applied force of 2650 N must be exerted on the car.
1. To determine the tension on the rope when a 15.0 kg box is suspended from the ceiling, we analyze the forces at play. When the box is stationary, the net force acting on it is zero.
Let's consider the tension in the rope as T. The weight of the box can be calculated using the equation W = mg, where m represents the mass of the box, and g is the acceleration due to gravity.
Weight of the box = 15.0 kg * 9.8 m/s² = 147 N
Since the box is in equilibrium, the tension in the rope must balance the weight of the box. Therefore:
T - 147 N = 0
Solving for T:
T = 147 N
2. When a 1510 kg car experiences a 2650 N friction force from the road, we need to find the force that must be applied to the car to overcome this friction and maintain constant velocity.
The force of friction is given by the equation \(F_f_r_i_c_t_i_o_n\) = μ * N, where μ is the coefficient of friction and N is the normal force. In this case, we assume the friction force is the maximum static friction force, which is μ * N.
Since the car is experiencing a friction force of 2650 N, we have:
\(F_f_r_i_c_t_i_o_n\) = 2650 N
The normal force (N) is equal to the weight of the car (mg), where g is the acceleration due to gravity.
Weight of the car = 1510 kg * 9.8 m/s² = 14818 N
Since the car is at constant velocity, the applied force must balance the friction force:
Applied force - 2650 N = 0
Solving for the applied force:
Applied force = 2650 N
For more such information on: friction force
https://brainly.com/question/15122221
#SPJ8
calculate the static deflection in a linear spring of stiffness 4000 n/m when a mass of 20 kg is hanging from it.
The static deflection in the linear spring with a stiffness of 4000 N/m and a mass of 20 kg hanging from it is 0.049 meters, or 49 millimeters. We can use Hooke's law to calculate this.
The static deflection in a linear spring is the change in length of the spring when a force is applied to it. The force applied to the spring can be calculated by multiplying the mass of the object hanging from the spring by the acceleration due to gravity (g), which is 9.8 m/s^2. The formula for the force applied to the spring is given by F = mg, where m is the mass of the object and g is the acceleration due to gravity.
The deflection of the spring can then be calculated using Hooke's Law, which states that the force applied to a spring is proportional to its extension (x) and is given by F = kx, k being spring constant. Solving for x, we get x = F/k. Substituting the values, we get x = (20 kg * 9.8 m/s^2) / 4000 N/m = 0.049 m.
Therefore, the static deflection in the linear spring with a stiffness of 4000 N/m and a mass of 20 kg hanging from it is 0.049 meters, or 49 millimeters.
Learn more about static deflection here:
https://brainly.com/question/14561064
#SPJ4
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject
Answer:
Third option
Explanation:
To calculate meters per second you divide the distance by the time.
it's 8m/s
A police officer on a mountain bike is cruising at a speed of 3.50m/s, when he sees a wanted
criminal, standing on a corner, 75m ahead of him. If the police officer accelerates at a rate of
2.00m/s^2, how much time will he take to reach the corner?
Answer:
7 seconds
Explanation:
please see paper!
vf² = vo²+2ad
vf=vo+at
vf²=3.5²+2.2.75
vf²=312.25
vf=17.67 m/s
vf=vo+at
17.67 = 3.5 +2t
t=7.085 s
a rock is an example of a solid because
Answer:
The key is that solids hold their shape and they don't flow like a liquid. A rock will always look like a rock unless something happens to it.
Solids can hold their shape because their molecules are tightly packed together.
Explanation:
Yes; it is a solid
Sue and Jenny kick a soccer ball at exactly
the same time. Sue’s foot exerts a force of
52.7 N to the north. Jenny’s foot exerts a
force of 91 N to the east.
a) What is the magnitude of the resultant
force on the ball?
Answer in units of N. b) What is the direction of the resultant force
(measured from East)?
Answer in units of ◦
.
a)
Answer:
Using Pythagorean Theorem.
\(F_{R} = \sqrt{Fn^{2} + Fe^{2} } \\\\ F_{R} = \sqrt{52.7^{2} + 91^{2} }\\\\ F_{R} = 105.16N\)
b)
Answer:
\(tan^{-1} \frac{opp}{adj} \\ \\ tan^{-1} \frac{52.7}{91} \\ \\ = 30.08^{o}\)
The resultant force of the two forces which are acting perpendicular to each other is 105.15 N and the direction is 59.91 ° from east.
What is force?Force is an external agent acting on a body to change it from the state of motion or rest. If two forces acting on a body and both are applied in the same direction, the resultant force will be the sum of two forces in magnitude.
If the two forces are in opposite directions, then the resultant force will be the substracted value of their magnitude. If one force is to the north and other is to the east, then they are perpendicular to each other.
Hence, to find the resultant force we can use the Pythagoras theorem for right angled triangle. The hypotenuse will be the resultant force.
Resultant force = √ (52.7² + 91² )
= 105. 15 N.
The direction of the force = Tan ⁻¹ (91 / 52.7 )
= 59.91 ° from east to north.
Hence, the resultant force is 105.15 N with a direction of 59.91 ° from east.
To find more on resultant force, refer here:
https://brainly.com/question/16380983
#SPJ2
Help
A. 12,240
B. 6,120
Answer:
A. 12,240.
Explanation:
1,530 times 8.0 = 12,240.
hope this helped :)
The image produced by a concave lens is always virtual. Is this true or false?
which of the following is true of inertia
a) it is a property of motion
b) it is measured by weight
Answer:
it is a property of motion
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.
Learn more about resistance here:
https://brainly.com/question/11431009
#SPJ4
The Very Large Array (VLA) is a set of 27 radio telescope dishes in Catron and Socorro counties, New Mexico (Fig, P38.54). The antennas can be moved apart on railroad tracks, and their combined signals give the resolving power of a synthetic aperture 36.0 km in diameter. (c) What If? As the telescope looks up, a circling hawk looks down. Assume the hawk is most sensitive to green light having a wavelength of 500nm and has a pupil of diameter 12.0nm. Find the angular resolution of the hawk's eye.
The angular resolution of the hawk's eye is approximately 41.67 radians.
To find the angular resolution of the hawk's eye, we can use the formula:
\(\[\text{{Angular Resolution}} = \frac{{\text{{Wavelength}}}}{{\text{{Diameter of the Pupil}}}}\]\)
Given:
Wavelength \((\(\lambda\))\) = 500 nm
Diameter of the Pupil (d) = 12.0 nm
Substituting the values into the formula, we have:
\(\[\text{{Angular Resolution}} = \frac{{500 \, \text{nm}}}{{12.0 \, \text{nm}}}\]\)
Simplifying the expression, we get:
\(\[\text{{Angular Resolution}} = \frac{{500}}{{12.0}} \approx 41.67 \, \text{radians}\]\)
Therefore, the angular resolution of the hawk's eye is approximately 41.67 radians.
Learn more about angular resolution here:
https://brainly.com/question/25014179
#SPJ11
4.2-m-diameter merry-go-round is rotating freely with an angular velocity of 0.80 rad/s. its total moment of inertia is . four people standing on the ground, each of mass 65 kg, suddenly step onto the edge of the merry-go-round. (a) what is the angular velocity of the merry-go-round now? (b) what if the people were on it initially and then jumped off in a radial direction (relative to the merry-go-round)?
(a) The new angular velocity of the merry-go-round is 0.048 rad/s.
(b) The new angular velocity of the merry-go-round is 198.03 rad/s.
As per Given data : The diameter of the merry-go-round = 4.2 m
Angular velocity of the merry-go-round = 0.80 rad/s
Number of people standing on the ground = 4 each of mass 65 kg
Total moment of inertia = I
Taking the moment of inertia of 4 people standing on the edge of the merry-go-round to be I',
the new moment of inertia is given by:
I" = I + I'
Given that each person on the edge of the merry-go-round has a mass of 65 kg
Hence, the moment of inertia of 4 people standing on the edge of the merry-go-round is I' = 4 × mr²
where m is the mass of each person = 65 kg and r is the radius of the merry-go-round = 2.1 m
Therefore,
I' = 4 × (65 kg) × (2.1 m)²= 10962 kg·m²
Now, the total moment of inertia
I" = I + I'= 700 kg·m² + 10962 kg·m²= 11662 kg·m²
(a) When the 4 people standing on the ground, each of mass 65 kg, suddenly step onto the edge of the merry-go-round, the moment of inertia increases from I to I".
To find the new angular velocity ω', we can use the conservation of angular momentum:
\(L_{initial}\) = \(L_{final}\)
where L is the angular momentum
\(L_{initial}\)= Iω
\(L_{initial}\) = (700 kg·m²) × (0.80 rad/s)
\(L_{initial}\) = 560 kg·m²/s
\(L_{final}\) = I" ω'ω'
\(L_{final}\) = \(L_{final}\) / I"
\(L_{final}\) = \(L_{initial}\) / I"
\(L_{final}\) = (700 kg·m² × 0.80 rad/s) / (11662 kg·m²)
\(L_{final}\) = 0.048 rad/s
(b) If the 4 people were initially on the merry-go-round and then jumped off radially, the moment of inertia decreases from I" to I.
To find the new angular velocity ω'', we can again use the conservation of angular momentum:
\(L_{initial}\) = \(L_{final}\)
\(L_{initial}\) = I" ω'
\(L_{initial}\) = (700 kg·m² + 10962 kg·m²) × ω'
\(L_{initial}\) = 11662 kg·m² × ω'ω''
\(L_{initial}\) = \(L_{final}\) / I
\(L_{initial}\) = \(L_{initial}\) / I
\(L_{initial}\) = (11662 kg·m² × ω') / 700 kg·m²
\(L_{initial}\) = 198.03 rad/s
For similar question on angular velocity
https://brainly.com/question/24158647
#SPJ11
The right to gather to advance some political or social cause is known as
Answer:
the first amendment
Explanation:
the first amendment to the United States constitution allows the freedoms concerning religion, expression, assembly, and the right to gather and petition.
How do humans depend on geochemical cycles?
A. to provide clean water, breathable air, and soil that is capable of supporting crops.
B. to provide food and oxygen so organisms can survive
C. to help conserve resources for future use
Answer:
A
Explanation:
Because we need clean water to obtain a healthy diet, need oxygen which plants provide through photosynthesis and soil is important for food.
Three measurements are made as 18.425 cm, 7.21 cm and 5.0 cm. The addition should be written as (A) 30.635 cm (B) 30.64 cm (C) 30.63 cm (D) 30.6 cm
Answer:
(D) 30.6 cm
Explanation:
Given the following data;
Measurement A = 18.425 cm
Measurement B = 7.21 cm
Measurement C = 5.0 cm.
To find the total measurement;
Total measurement = A + B + C
Total measurement = 18.425 + 7.21 + 5
Total measurement = 30.635 cm
However, an additional sum requires that all the numbers have a equal number of decimal points; 1 decimal point for 5.0 would be chosen.
Hence, we would round up the answer to 1 decimal point.
Total measurement = 30.6 cm
Is density of an object proportional to its conductivity?
Answer:
Yes, the density of an object is proportional to its conductivity.
Explanation:
The "Thermal conductivity" of an object is dependent on three things: temperature, density and moisture content. This means that an object becomes more conductive if it has a higher temperature, higher density and more moisture in its content. This makes them directly proportional to each other.
The denser an object is, the more likely it will conduct heat because its atoms are tightly packed compared to less denser ones like air. Such position of atoms hastens the transfer of energy.
What happens to the signal inside of the cell phone? Describe at least two kinds of transformations or changes that happen to the signal inside of cell phone.
Answer:
When you're talking on a cell phone, it converts your voice into a signal that is transmitted via radio waves to the nearest cell tower. The cell tower then relays the radio wave back to the person you're speaking to, converting it first to a signal and then back to sound again.
Explanation:
no explanation for you
but the answer is in the top!
1) Calculate tension force in the string if the system accelerates up an inclined plane at 4m/s²
2) Calculate the magnitude of F if the system moves up the inclined plane at a constant velocity
1) As long as there is tension in the string connecting the two objects, they will both accelerate together with the same acceleration, 4 m/s². By Newton's second law,
• the net force on the 3-kg object acting parallel to the incline is
∑ F = F - T - f₃ - 3g sin(30°) = (3 kg) (4 m/s²)
• the net force on the 3-kg object perpendicular to the incline is
∑ F = n₃ - 3g cos(30°) = 0
• the net parallel force on the 6-kg object is
∑ F = T - f₆ - 6g sin(30°) = (6 kg) (4 m/s²)
• and the net perpendicular force on the 6-kg object is
∑ F = n₆ - 6g cos(30°) = 0
From the last two equations, it follows that
n₆ = 6g cos(30°) ≈ 50.9223 N
f₆ = 0.2 n₆ ≈ 10.1845 N
T - f₆ - 6g sin(30°) = 24 N ⇒ T ≈ 63.5845 N ≈ 64 N
2) If the objects are pulled up the incline with constant velocity, then the acceleration of either object is zero. The free body diagrams stay the same, so we have the same equations using Newton's second law, the only difference is that each right side is zero.
The new tension in the string is then
T - f₆ - 6g sin(30°) = 0 ⇒ T ≈ 39.5845 N
From the second equation above, we find
n₃ = 3g cos(30°) ≈ 25.4611 N
f₃ = 0.1 n₃ ≈ 2.5461 N
Then in the first equation,
F - T - f₃ - 3g sin(30°) = 0 ⇒ F ≈ 56.8306 N ≈ 57 N
Ice at 0 degrees celsius is mixed with water at 0 degrees celsius in a perfectly insulated calorimeter. what options correctly describe what will happen next.
1. what happens depends on the relative masses of ice and water.
2. all the ice will melt.
3. no ice will melt and no water will freeze.
4. all the water will freeze.
Ice at 0 degrees celsius is mixed with water at 0 degrees celsius in a perfectly insulated calorimeter.what happens depends on the relative masses of ice and water,some of the ice will melt and the final temperature will be 0 degrees Celsius.So the correct options are 1,2 and 3.
The amount of ice that melts depends on the relative masses of ice and water. If there is more ice than water, then all of the ice will melt. If there is more water than ice, then some of the ice will remain. The final temperature will be 0 degrees Celsius regardless of how much ice melts.
Option 4 is incorrect because the water is already at 0 degrees Celsius, so it cannot freeze. Option 3 is incorrect because heat is not being transferred into or out of the system, so the temperature will not change.Therefore correct option are 1, 2 and 3.
To learn more about calorimeter visit: https://brainly.com/question/2963957
#SPJ11
An aluminum rod is 20. 0 cm long at 20°C and has a mass of 350 g. If 10 000 J of energy is added to the rod by heat, what is the change in length of the rod?
Linear expansion refers to the increase in length of a material as its temperature increases. It is typically measured as the change in length per unit length per degree of temperature change. the answer change in length of the rod is approximately 0.014 cm.
This effect is caused by the thermal motion of the atoms or molecules in a material, which increases as the temperature increases. Linear expansion is typically a small effect, but can be significant in certain applications, such as in the construction of bridges or buildings.The change in length of the rod can be calculated using the equation for linear expansion:
ΔL = L0 * α * ΔT
Where:
L0 = initial length (20.0 cm)
α = coefficient of linear expansion for aluminum (about 2.5 x 10^-5 /°C)
ΔT = change in temperature (can be calculated by using the heat added, mass, and specific heat capacity of aluminum)
First we need to calculate ΔT, we know that c(Aluminum)= 0.90 J/g °C
ΔT= Q / (m * c)where:
Q = heat added (10000 J)
m = mass of the rod (350 g)
c = specific heat capacity of aluminum (0.90 J/g °C)
Substituting the values we have,
ΔT = 10000 J / (350 g * 0.90 J/g °C) = 28.57142857142857 °C
Now we can find the change in length,
ΔL = L0 * α * ΔT = 20.0 cm * 2.5 x 10^-5 /°C * 28.57142857142857 °C = 0.014 cm
So the change in length of the rod is approximately 0.014 cm.
To learn more about linear expansion here:
https://brainly.com/question/14780533
#SPJ4
If a red blood cell with a 0.5M salt concentration is placed into a 2M salt solution, what will happen to the blood cell?
Answer:
The blood cell will expand.
Explanation:
Given that,
Salt concentration = 0.5M
Solution concentration = 2M
We know that,
Hypertonic solution :
If the solution concentration is lower than the solute concentration then it is called hypertonic solution.
Hypotonic solution :
If the solution concentration is higher than the solute concentration then it is called hypotonic solution.
We need to find what will happen to the blood cell
Using given data
The solution concentration is higher than the solute concentration.
So, The solution will be hypotonic solution.
We know that,
When a cell is placed in a hypotonic solution then the water will enter the cell, and the cell will expand.
Hence, The blood cell will expand.
Answer:
The blood cell will expand.
Explanation:
Just took a test.
{Hope this helps} : )
Pls help!! I need this done by today:(
What is the length of the shortest pipe closed on one end and open at the other end that will have a fundamental frequency of 0.060 kHz on a day when the speed of sound is 340 m/s?
The length of the shortest pipe closed on one end and open at the other end that will have a fundamental frequency of 0.060 kHz on a day when the speed of sound is 340 m/s is approximately 283.3 cm.
This can be determined using the formula:
frequency = (n x speed of sound) / (2 x length)
where: n = 1 (fundamental frequency)
frequency = 0.060 kHz (60 Hz)
speed of sound = 340 m/s.
Plugging these values into the formula gives:
0.060 x 10³ Hz = (1 x 340 m/s) / (2 x length)
0.06 x 10³ Hz = 170 m/s / length
0.06 x 10³ Hz x length = 170 m/s
Dividing both sides by 0.06 x 10³ Hz:
length = 170 m/s / (0.06 x 10³ Hz)
length = 283.3 cm (rounded to one decimal place)
Therefore, the length of the shortest pipe closed on one end and open at the other end that will have a fundamental frequency of 0.060 kHz on a day when the speed of sound is 340 m/s is approximately 283.3 cm.
For more such questions on frequency visit:
https://brainly.com/question/254161
#SPJ8
8. Which of the following directly illustrates the 1st law of thermodynamics: A) Heat flows from a hot stone to the cool ground spontaneously. B) The energy from the sun C) Ice melts when heated D) In a small/insulated chamber, a piece of wood burns burns; however, the total energy within the system is unchanged.
Answer:
D
Explanation:
1st law of thermodynamics states that energy can neither be created nor be destroyed but can be converted from one form to another.
D) In In a small/insulated chamber, a piece of wood burns burns; however, the total energy within the system is unchanged.
What is 1st law of Thermodynamics?
The 1st law of Thermodynamics states that the energy can neither be created nor be destroyed , the energy of the universe remain the same . Though it can be exchanged between the system and the surrounding.
Hence , correct answer
D) is) In a small/insulated chamber, a piece of wood burns burns; however, the total energy within the system is unchanged.
Learn more of Thermodynamics :
https://brainly.com/question/1368306?referrer=searchResults
#SPJ2
Scientists have changed the model of the atom as they
What experimental evidence led to the development of
have gathered new evidence. One of the atomic models
this atomic model from
the one before it?
iS shown below.
O A few of the positive particles aimed at a gold foil
seemed to bounce back.
The colors of light emitted from heated atoms had
very specific energies.
Experiments with water
vapor showed that elements
combine in specific proportions.
Cathode rays were bent in the same way whenever a
magnet was brought near them.
The experimental evidence led to the development of have gathered new evidence. One of the atomic models this atomic model from the one before it is the colors of light emitted from heated atoms had very specific energies.
As scientific knowledge about the structure of the atom has changed, so have models of the atom.
The Rutherford planetary model, which depicts electrons travelling around the nucleus like planets move around the sun in the solar system, is the direct precursor of the model illustrated in the figure attached.
This model was created as a result of the study of light hues released by heated atoms with highly particular energies.
The Bohr model of the atom is so named because Niels Bohr had a major role in developing it. The passage of electrons between energy levels caused the light hues released by heated atoms. Electrons are grouped in shells or energy levels.
To know more about light emitted visit : https://brainly.com/question/3962600
#SPJ9
Sphere A has a charge of 2. 0X10-6 C, sphere
B has a charge of 3. 0X10-6 C, and sphere C
has a charge of 4. 0X10-6 C. What is the
magnitude of the net force on sphere A?
(rAB
= 2. 0X10-2 m and rAc= 2. 0X10-2 m)
To determine the speed at which the baseball player threw the ball and the height it reached, we can use the equations for motion with constant acceleration. So hence t is the time it took for the ball to return to the player's hand.
Since the ball was thrown vertically upward and we know the time it took for it to return to the player's hand, we can use the following equation to determine the initial velocity (vₒ) of the ball: vₒ = gt . where g is the acceleration due to gravity (approximately 9.8 m/s²) and t is the time it took for the ball to return to the player's hand (3.0 s).
Plugging in the known values, we get:
vₒ = 9.8 m/s² x 3.0 s = 29.4 m/s
To determine the height the ball reached, we can use the following equation: h = vₒt + (1/2)gt²
where h is the height, vₒ is the initial velocity, t is the time it took for the ball to return to the player's hand, and g is the acceleration due to gravity.
To learn more about acceleration here:
https://brainly.com/question/12550364
#SPJ4
galileo classified qualities into primary and secondary. he thought the primary are quantifiable and real in the world and that secondary are not quantifiable and not real in the world. which are primary?
Galileo classifies qualities into primary and secondary qualities. Primary qualities are those that are inherent in an object and cannot be changed.
key characteristics include, An object's mass, which defines its weight and measures its resistance to acceleration, is the total amount of matter in the object.
The length, width, and height of an object establish its size or dimensions, which in turn determine its volume.
Shape: An object's form or configuration, which influences how it looks and how it is outlined.
Motion is the act of an item moving, including its speed, acceleration, and direction.
Location: An object's coordinates can be used to define its position in space.
Learn more about Primary qualities:
https://brainly.com/question/29573891
#SPJ4
please help with these tysm
How many sig figs are in 0.32
The two highest-pitch strings on a violin are tuned to 440 Hz (the A string) and 639 Hz (the E string). What is the ratio of the mass of the A string to that of the E string? Violin strings are all the same length and under essentially the same tension.
the ratio of the mass of the A string to that of the E string is 0.653.
How do we calculate?the equation for the frequency of a vibrating string is given as :
f = (1/2L) * √(T/μ)
f_ = frequency of the string,
L= length of the string,
T= tension in the string, and
μ= linear mass density of the string
We know that the strings are all the same length and under essentially the same tension,
f1/√μ1 = f2/√μ2
f1= frequency of the A string,
μ1 = linear mass density of the A string,
f2= frequency of the E string, and
μ2= linear mass density of the E string.
440/√(m1/L) = 639/√(m2/L)
440/√m1 = 639/√m2
(440 * √m2)² = (639 * √m1)²
m2 = (639/440)² * m1
In conclusion, we have that the ratio of the mass of the A string to that of the E string is:
m1/m2 = 1/[(639/440)²]
m1/m = 0.653
Learn more about frequency at:
https://brainly.com/question/254161
#SPJ4