Answers
ANSWER
\(\begin{gathered} A)67.24Nm \\ B)58.23Nm \end{gathered}\)EXPLANATION
Parameters given:
Force exerted on door, F = 82N
Width of door, r = 82 cm = 0.82 m
A) Torque is described as a force that tends to cause rotation and it is given mathematically as:
\(\tau=r\cdot F\cdot\sin \theta\)where F = force, r = radius, θ = angle between the force and the arm of the lever.
From the question, the radius r is 82 cm (0.82 m) since the door pivots at its edge and because the force is acting perpendicularly, the angle θ is 90 degrees.
Therefore, the torque is:
\(\begin{gathered} \tau=0.82\cdot82\cdot\sin 90 \\ \tau=67.24Nm \end{gathered}\)B) Now, the force is acting at an angle of 60 degrees to the face of the door.
This means that θ is 60 degrees.
Therefore, the torque is:
\(\begin{gathered} \tau=0.82\cdot82\cdot\sin 60 \\ \tau=58.23Nm \end{gathered}\)Related Questions
v=√gr tan 31.0 grados
Answers
The banking angle is the angle that the surface makes with the horizontal, or the angle of inclination.
v = √rg tanθ
tanθ=v²/rg
The relation gives the angle of banking of the cyclist going round the curve. Here v is the speed of the cyclist, r is the radius of the curve, and g is the acceleration due to gravity.
The banking angle is the angle that the surface makes with the horizontal, or the angle of inclination. The normal force acting on the car while travelling through such a curving road has a horizontal component. The centripetal force needed to prevent skidding is provided by this component.
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The photo shows a pair of figure skaters performing a spin maneuver. The
axis of rotation goes through the left foot of the skater on the left. What
action could increase the pair's angular velocity?
Answers
An action which could increase the pair's angular velocity is the figure skater on the left pointing his right arm down instead of up.
What is angular velocity?Angular velocity simply refers to the rate of change of angular displacement of a physical object (body) with respect to time.
This ultimately implies that, angular velocity is a measure of how fast and quickly a physical object (body) rotates with respect to another point or how its angular displacement (position) changes with respect to time.
In this scenario, an action which could increase the pair's angular velocity is when the figure skater on the left points his right arm down instead of up.
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the skater on the left pulls the skater on the right closer to him
Explanation:
apex bliches
lúc 7 giờ một ô tô chuyển động thẳng nhanh dần đều đi qua địa điểm A với vận tốc 18km/h , sau khi đi thêm được 100m thì vận tốc của ô tô đặt 36km/h. hãy tính vận tốc của ô tô
Answers
Answer:
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5. A tennis player hits a ball when it is at a height of 1.1 meters above the court, giving it a velocity of 12 m/s at an angle of 22° above the horizontal towards the net. The net is 1.81 meters high and stands 2.6 meters from the player.
a) Show that the ball will just pass over the net.
b) Find when and where the ball hits the ground.
Answers
According to the information, the ball will just pass over the net (question A); and the ball hits the ground approximately at 7.04 meters from the player and after a time of flight of approximately 1.31 seconds (question B).
How to determine if the ball will clear the net?To determine if the ball will clear the net, we compare the vertical displacement of the ball with the net height. The ball's initial height is 1.1 meters, and it reaches its highest point during flight. By calculating the trajectory, we can confirm that the ball's vertical displacement at its highest point will be higher than the net height of 1.81 meters, ensuring it clears the net.
How to find when and where the ball hits the ground?To find when and where the ball hits the ground, we need to calculate the time of flight and horizontal displacement. Using the given initial velocity and angle, we can determine the time it takes for the ball to reach the ground. By calculating the horizontal displacement based on the initial horizontal velocity and total time of flight, we find that the ball hits the ground approximately 7.04 meters from the player. The time of flight is approximately 1.31 seconds. The specific values may vary depending on the given initial conditions.
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An oscillator is used to create a wave on a string. The frequency of the oscillator is 4 Hz and the waves measures to be 0.5 m apart. What is the speed of the wave
Answers
Given,
Frequency of the wave, f=4 Hz
The wavelength of the wave, λ=0.5 m
The speed of a wave is given by,
\(v=f\lambda\)On substituting the known values in the above equation,
\(v=4\times0.5=2\text{ m/s}\)Therefore the speed of the standing wave produced is 2 m/s
The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
Answers
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
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Choose the correct statement about precession of the Earth's axis.
A. Precession of the Earth's axis of rotation is caused by changes in the shape of the Earth's orbit due only to the gravitational pull of the Sun.
B. One complete cycle of the Earth's pole star is not affected by precession.
C. One cycle of the precessional motion of the North Celestial Pole takes about 26,000 years.
D. Precession is the motion of Earth along its orbital path.
Answers
The precession is the motion of Earth along its orbital path.
What is earth's axis of rotation?
Earth's rotation or Earth's spin is the rotation of planet Earth around its own axis.
What is precession of the Earth's axis?Precession of the Earth's axis consists of a cyclic wobbling in the orientation of Earth's axis of rotation with a period of 25,772 years.
The precession of the Earth's axis wobble is due to tidal forces caused by the gravitational influences of the Sun and Moon.
Thus, precession is the motion of Earth along its orbital path.
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A bicyclist started from rest along a straight path. After 2.0 s, his speed was 2.0 m/s. After 5.0 s, his speed was 8.0 m/s. What was his acceleration during the time 2.0 s to 5.0 s?
Answers
Acceleration is the change in velocity over time. We can calculate the acceleration of the bicyclist during the time 2.0 s to 5.0 s using the formula acceleration = (final velocity - initial velocity) / time.
The initial velocity of the bicyclist at 2.0 s is 2.0 m/s and the final velocity at 5.0 s is 8.0 m/s. The time interval between 2.0 s and 5.0 s is 3.0 s.
Substituting these values into the formula, we get acceleration = (8.0 m/s - 2.0 m/s) / 3.0 s = 6.0 m/s / 3.0 s = 2.0 m/s^2.
So, the acceleration of the bicyclist during the time 2.0 s to 5.0 s was 2.0 m/s^2.
what is the most effortless walking speed for a person with 90cm long legs if the length of each step is 90cm
Answers
Answer:
75 cm/second.
Explanation:
Formula:
Walking speed = stride length / time per step
Walking speed = 90cm/time per step
= 90cm/1.2 seconds (a common estimate time per step)
= 75cm/second.
what is H called?
truss
intrusion
fault
trench
Answers
Answer:
Fault is the correct answer
Explanation:
The rest are incorrect.
Equation of path of projectile is y=x(1-x)
Answers
The equation of the path of a projectile is y = x(1 - x). Projectile motion is the movement of an object in a parabolic trajectory as a result of being propelled or released under the influence of gravity. A projectile, in simple terms, is any object that is launched into the air, such as a bullet, a baseball, or a rock. It's important to note that the parabolic trajectory is due to the force of gravity acting on the object.
To better understand projectile motion, we must first examine the horizontal and vertical components of motion. The horizontal component of motion is constant, indicating that there is no acceleration in that direction. The vertical component, on the other hand, has acceleration because of gravity. The parabolic trajectory is the result of these two components of motion.As the projectile is launched, it travels a certain distance horizontally before beginning to descend as a result of gravity's influence, resulting in a parabolic path.The general formula for the trajectory of a projectile in two dimensions is given by:y = xtanθ - (gx²) / 2(v₀cosθ)²Where:y is the vertical distance covered by the projectilex is the horizontal distance covered by the projectileθ is the angle of projectiong is the acceleration due to gravityv₀ is the initial velocity of the projectile In the case of the given equation, y = x(1 - x), the path of the projectile will be a parabolic trajectory with a vertex at x = 0.5 and y = 0.25. The equation represents the projectile's vertical distance, y, as a function of its horizontal distance, x. It is crucial to note that the projectile's initial velocity and angle of projection are not considered in this equation.For such more question on acceleration
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Speed depends on how far something travels and
Answers
Answer:
Speed depends on how far something is travelling and the time taken for the object to travel that distance
Explanation:
(In reference to the speed formula) Speed=\(\frac{Distance(m)}{Time(m/s)}\)
Definition of speed:
Speed is the magnitude (unit) of the rate at which an object is moving.
(pls do correct me if I have any mistakes it makes a big difference to help each other out!)
2. Light traveling in air (n1=1) hits a piece of glass at an angle of 45 degrees. If the glass has a refractive index of 1.5, what angle should the light bend at?
Answers
Answer:
28.1 degrees
Explanation:
Use formula: \(N_1Sin(Angle_1) = N_2Sin(Angle_2)\)
* use angles given
Part A - At what angle does it leave?
Part B - At what distance x does it exit the field?
Answers
Answer:
Total internal reflection (TIR) is the phenomenon that involves the reflection of all the incident light off the boundary. TIR only takes place when both of the following two conditions are met: the light is in the more dense medium and approaching the less dense medium.
Explanation: Hope i helped!!!
A microbiologist measures the speed of a swimming bacterium. The 2bacterium covers a distance of 6.82microns in 3.5 seconds. The biologist wished to compare the speed of the bacteria with other animals, but thespeeds of other animals are listed in kilometers per hour. What is the speed of the bacterium in kilometers perhour? (1 micron 1x 10-6 m) Use scientific notation and express your answer to the correct number Please help
Answers
Given:
The distance covered by bacterium is d=6.82 microns.
The time taken to cover the distance is t=3.5 s.
The speed of bacterium is given as,
\(v=\frac{d}{t}\)Substitute the given values,
\(\begin{gathered} v=\frac{(6.82\text{ microns)}}{(3.5\text{ s)}}(\frac{1\times10^{-6}\text{ m}}{1\text{ micron}})(\frac{1\text{ km}}{1000\text{ m}})(\frac{60\text{ s}}{1\text{ min}})(\frac{60\text{ min}}{1\text{ h}}) \\ =7.01\times10^{-6}\text{ km/h} \end{gathered}\)Thus, the speed of bacterium is
\(7.01\times10^{-6}\text{ km/h}\)A ball is dropped from the top of a building.
When does the ball have the least potential energy?
O after it has hit the ground
O half way through the fall
O as it is released
O just before it hits the ground
Answers
Answer:
after it has hit the ground
.........
Answer: A. after it has hit the ground
REALICE UN ANALISIS DEL TEMA, INDICANDO LAS IDEAS PRINCIPALES
Answers
Answer:
De cual Tema??? jajaja no se que necesitas
Answer:
El análisis temático es un método de análisis de datos cualitativos. Por lo general, se aplica a un conjunto de textos, como las transcripciones de entrevistas. El investigador examina de cerca los datos para identificar temas comunes: temas, ideas y patrones de significado que surgen repetidamente.
Explanation:
If a microwave oven emits 1,100 J of energy every second, how much energy will be emitted after 8.9 seconds
Answers
Answer:
it would make 9790 J of energy
What is the average force of gravitation between Venus and the sun?
Answers
The average force of gravitation between Venus and the Sun is3.24 x 10²² N.
What is average gravitational force?The force of gravitation between two objects can be calculated using the equation;
F = G (m1m2) /d²
where;
F is the force of gravitation, G is the gravitational constantm1 and m2 are the masses of the two objects, and d is the distance between them.To find the average force of gravitation between Venus and the Sun, we need to know their masses and the average distance between them.
Venus has a mass of approximately 4.87 x 10²⁴ kg, and the average distance between Jupiter and the Sun is about 108 million kilometers.
Plugging these values into the equation, we get:
F = 6.67 x 10⁻¹¹ (4.87 x 10²⁴) x (1.989 x 10³⁰ kg) / (108 x 10⁶)²
F = 3.24 x 10²² N.
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a 100 kg person travels from sea level to an altitude of 5000 m. By how mans newtons does their weight change?
Answers
Answer:
Thus, the change in the weight of the person is 1.6N , option c is correct.
Explanation:
A cubic box is completely filled with 2800 g of water. What is the length of one side of the box, in meters?
m
Explain your reasoning.
Since the density of water is
cm3 is
g/cm3, then the volume of 2800 g of water is
cm on each side. Converting [ cm to meters, the cube is
Proy
13 of 15
⠀⠀⠀
Next
cm³. A cubic box with a volume of [
m on each side.
Answers
The density of water is approximately 1 g/cm^3. Therefore, the volume of 2800 g of water would be 2800 cm^3 because density is mass/volume, and so volume is mass/density.
Since this volume is inside a cubic box, the length of each side of the cube (a, for instance) could be found by taking the cubic root of the volume. This is because the volume of a cube is calculated by a^3 (length of one side cubed). Hence, a = cube root of 2800 cm^3 ≈ 14.1 cm.
Converting centimeters to meters (as 1 meter is equal to 100 centimeters), we get approximately 0.141 meters.
So the filled cubic box has a side length of approximately 0.141 m.
Find the vector whose magnitude is 5 and which is in the direction of the vector 4i -3j +k
Answers
The vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.
To solve this problemThe given vector can be normalized before being multiplied by the desired magnitude. This is how to locate the vector:
The vector that has been provided should be normalized by dividing each of its components by its magnitude. The Pythagorean theorem can be used to determine the magnitude of the vector 4i - 3j + k:
Magnitude = √(4² + (-3)² + 1²) = √(16 + 9 + 1) = √26
Normalize the vector by dividing each component by the magnitude:
Normalized vector = (4/√26)i + (-3/√26)j + (1/√26)k
Multiply the normalized vector by the desired magnitude:
To obtain a vector with a magnitude of 5, multiply each component of the normalized vector by 5:
Desired vector = 5 * ((4/√26)i + (-3/√26)j + (1/√26)k)
Simplifying the expression gives:
Desired vector ≈ (20/√26)i + (-15/√26)j + (5/√26)k
So, the vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.
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Which component of the projectile motion vector is affected by gravity?
Answers
Gravity has an impact on both the vertical and horizontal components of projectile motion because horizontal motion results from the launching of an object.
What part of the system is impacted by gravity?So only the vertical component will be impacted by gravity. As a result, the projectile will continue to go upward until the upward component of its velocity becomes zero due to the gravitational force acting on it from below.
Gravity has an impact on which aspect of velocity?Gravity has an impact on the vertical component of the velocity since it is in the same plane as it is with gravity. The horizontal component, however, is parallel to gravity and unaffected by it.
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how do sound waves behave as a solid
a. they travel faster in a solid than other mediums
b. they travel slower in a solid than other solids
c. they stop when they hit a solid
d.sound waves behave the same in any medium
Answers
Answer:
A. They travel faster in a solid than other mediums
Explanation:
Sound waves travel faster in solids because the density of solids is higher than that of liquids which means that the particles are closer together and sound can be transmitted more easily.
the drawing shows a mercury barometer. consider two barometers, one using mercury and another using an unknown liquid. suppose that the pressure above the liquid in each tube is negligible. the height of the unknown liquid is 13.6 times greater than the height of the mercury. find the density of the unknown liquid.
Answers
The density of the unknown liquid is 1000 kg/m³.
What is density?Density is a measure of how much mass is contained in a given volume of a substance. It is calculated by dividing the mass of a substance by its volume. The unit of density is typically expressed in kilograms per cubic meter (kg/m³) in the SI system of units.
Let's start by using the equation for pressure in a liquid:
P = ρgh
where P is the pressure, ρ is the density, g is the acceleration due to gravity, and h is the height of the liquid.
For the mercury barometer, the pressure is atmospheric pressure, which we'll call Patm. So we have:
Patm = ρHggh
where Hg is the density of mercury and h is the height of the mercury column.
For the unknown liquid barometer, the pressure is also atmospheric pressure, and we know that the height of the unknown liquid column is 13.6 times greater than the height of the mercury column. So we have:
Patm = ρunknownghunknown
where unknown is the density of the unknown liquid and known is the height of the unknown liquid column.
Now we can set these two equations equal to each other and solve for the unknown density:
ρHggh = ρunknownghunknown
Divide both sides by gh:
ρHg = ρunknown * 13.6
Divide both sides by 13.6:
ρunknown = (ρHg / 13.6)
The density of mercury is 13,600 kg/m³, so we can plug that in and simplify:
ρunknown = (13600 kg/m³ / 13.6)
ρunknown = 1000 kg/m³
So the density of the unknown liquid is 1000 kg/m³.
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A bowling bowl of mass 6.2 kg moves with a velocity of 9.4 m/s. A resistive force of -6.0 N is applied for 2.5 sec. Find the final velocity.
Answers
The final velocity of the bowling bowl is 6.98 m/s.
Newton's second law of motionThe final velocity of the bowl is calculated by applying Newton's second law of motion as follows;
\(F = \frac{m(v-u)}{t} \\\\\)
where;
F is the applied on the bowling bowlm is the mass of the bowling bowlv is the final velocity of the bowling bowlu is the initial velocity of the bowling bowlt is the time of motion of the bowling bowl\(m(v-u) = Ft\\\\v-u = \frac{Ft}{m} \\\\v = \frac{Ft}{m} + u\\\\v = \frac{-6 \times 2.5}{6.2} + 9.4\\\\v = 6.98 \ m/s\)
Thus, the final velocity of the bowling bowl after the resistive force was applied is 6.98 m/s.
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When does a rubber band, which has been shot at a wall, have the most potential energy?
A When it is lying on the floor.
B When it is flying across the room.
C When it hits the wall.
D When it is stretched ready to shoot at the wall.
Answers
Answer:
C because that requires lots of energy
Consider a particle of mass m acted on by a force F in an inertial frame.Prove that dK=F× ( d×r), where d×r is the change in position vector of a particle in a time d×t, and d×K is the corresponding change in the kinetic energy K=1÷2(mv²)
Answers
From the change in the kinetic energy of the particle, the force that acted on the particle from an inertial frame is proved as F(dr) = dK.
Kinetic energy of the particle
The kinetic energy of the particle is given as;
K.E = ¹/₂mv²
dK/dv = mv
m = dK/vdv
Force on the particleThe force on the particle is given by Newton's second law of motion;
F = ma
a = dv/dt
F = m(dv/dt)
F = (dK/vdv) (dv/dt)
F = dK/vdt
F(vdt) = dK
v = dr/dt
F (dr/dt) x (dt) = dK
F(dr) = dK, proved
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Find the depth in a lake at which the pressure is 173.693 lb/in2.
Answers
The depth in the lake of pressure 173.693 lb/in² is 122.45 m.
What is depth?Depth is the distance down either from the top of something to the bottom, or to a distance below the top surface of something.
To calculate the depth in the lake, we use the formula below.
Formula:
h = P/gD........................ Equation 1Where:
h = Depth in the lakeP = Pressure D = Density of waterg = Acceleration due to gravityFrom the question,
Given:
P = 173.693 lb/in² = 1.2×10⁶ N/m²g = 9.8 m/s²D = 1000 kg/m³Substitute these values in to equation 1
h = (1.2×10⁶)/(9.8×1000)h = 122.45 mHence, the depth in the lake is 122.45 m.
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Water has higher specific heat than aluminum. This is all what you should know to answer following questions. An aluminum rod of mass 1 kg at temperature of 80^0C is placed into 1l of water of temperature 10^0C . there is no heat exchange with surroundings. Which material experiences greater change in temperature while system is reaching the thermal equilibrium
Answers
Answer:
The Aluminum
Explanation:
With a larger specific heat, water requires more heat to raise its temperature by a temperature degree.
In this system, with equal masses of water and aluminum, the heat moving from the aluminum lowering its temperature by one degree is not sufficient to raise the water temperature by one degree.