The question is not complete. The complete question is :
During a certain period of time, the angular position of a rotating object is given by [tex]$\theta =2t^2 +10t+5$[/tex], where θ is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door (a) at t = 0.00 seconds, (b) at t = 3.00 seconds.
Solution :
Given :
Displacement or angular position of the object, [tex]$\theta =2t^2 +10t+5$[/tex]
∴ Angular speed is [tex]$\omega = \frac{d \theta}{dt}$[/tex]
ω = 10 + 4t
And angular acceleration is [tex]$\alpha = \frac{d \omega}{dt}$[/tex]
α = 4
a). At time, t = 0.00 seconds :
Angular displacement is [tex]$\theta =2t^2 +10t+5$[/tex]
[tex]$\theta =2(0)^2 +10(0)+5$[/tex]
= 5 rad
Angular speed is ω = 10 + 4t
ω = 10 + 4(0)
= 10 rad/s
Angular acceleration is α = 4 [tex]$rad/s^2$[/tex]
b). At time, t = 3.00 seconds :
Angular displacement is [tex]$\theta =2t^2 +10t+5$[/tex]
[tex]$\theta =2(3)^2 +10(3)+5$[/tex]
= 53 rad
Angular speed is ω = 10 + 4t
ω = 10 + 4(3)
= 22 rad/s
Angular acceleration is α = 4 [tex]$rad/s^2$[/tex]
TNT is an example of a high explosive. True False
The statement "TNT is an example of a high explosive." is true.
What is TNT?TNT, short for trinitrotoluene, is a highly explosive chemical compound that is widely used in military and industrial applications. It is a pale yellow crystalline solid that is highly sensitive to heat, shock, and friction. TNT is made by the nitration of toluene, a colorless liquid hydrocarbon that is derived from petroleum.
TNT is known for its high explosive power, which makes it a popular choice for use in bombs, missiles, and other weapons. When TNT is detonated, it releases a large amount of energy in the form of a shock wave and high-temperature gases. This explosive power is due to the presence of three nitro groups (-NO2) in the TNT molecule, which makes it highly unstable and reactive.
Despite its explosive properties, TNT is relatively stable under normal conditions and can be stored and transported safely. It is also relatively easy to manufacture, which has made it a popular choice for military applications since World War I. Today, TNT is still used in a variety of military and industrial applications, although it has been largely replaced by more powerful explosives in some applications.
Therefore, The correct answer is True. TNT (trinitrotoluene) is a high explosive that is commonly used in military and industrial applications. It is highly sensitive to heat, shock, and friction and can release a large amount of energy when it detonates.
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A resistance of a wire has a value or (r) Ohms. The wire is stretched to double its length, then, its resistance in Ohms is:
A ball is thrown up into the air. Ignore air resistance. When it is rising and reaches half of its maximum height,the net force acting on it is
Answer:
The net and only force acting on the ball thrown up into the air at half of its maximum height is the weight of the ball
Explanation:
When the ball is rising in the air, the force, F, acting on it is given by the product of the mass, m × acceleration, a
The acceleration of a body thrown in the air = Gravitational acceleration = g = Constant
Therefore;
The force acting on the body thrown in the air F = Constant = m × g (downwards)
The force acting on the ball thrown up into the air at half of its maximum height = The mass of the ball × The acceleration due to gravity = The weight of the ball.
A ball of mass 0.0887 kg is dropped from a height 1.76 m above the ground. The acceleration of gravity is 9.8 m/s 2 . Neglecting air resistance, determine the
Answer:
determine the.........
A car is traveling with 90km/hr and another car with 20m/s in opposite direction. Calculate the relative velocity.
Which of the following does not illustrate a complete circuit?
Answer:
I think A
Explanation:
because it dosn't have enough tools
A 57.0 kg person in a
rollercoaster moving through
the bottom of a curved track of radius
42.7 m feels a normal force of 995 N.
How fast is the car moving?
Answer:
The linear speed of the car is approximately 27.30 m/s
Explanation:
The question parameters are;
The mass of the person on the rollercoaster, m = 57.0 kg
The radius of the rollercoaster track, r = 42.7 m
The normal force felt by the person, F = 995 N
The centripetal force acting on the person keep the circular motion is given by the following equation;
[tex]Centripetal \, force \ F_c = \dfrac{m \times v^2}{r}[/tex]
Where;
v = The linear velocity of motion = The linear speed of the car
The centrifugal force, F, is the force normal force felt by the person and is equal to the centripetal force, therefore, we have;
[tex]Centripetal \, force \ F_c = Centrifugal \, force \ F = \dfrac{m \times v^2}{r}[/tex]
From which we have;
[tex]F = 995 = \dfrac{57 \times v^2}{42.7}[/tex]
[tex]\therefore v = \sqrt{\dfrac{995 \times 42.7}{57} } \approx 745.38[/tex]
The linear speed of the car = v ≈ 27.30 m/s
The angular speed of the car, ω = v/r ≈ 27.30/42.7 ≈ 0.639 rad/s
Answer: 18.1 m/s
Explanation:
Jack travelled 360 km at an average speed of 80 km/h. Elaine took 1.5 hours more to complete the same amount of distance. What was Elaine’s average speed for the whole journey? _____km/h and m/s
Helpppp!! I will make you a brainlist Calculate the force exerted on
this test dummy with a mass of 75 kg hits an airbag accelerating at 12m/s2??
Answer:
900 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question is we have
force = 75 × 12
We have the final answer as
900 NHope this helps you
If you run North for 5 meters and then East for 15 meters and then
South for 2 meters all in 22 seconds. What was your speed?
0 points
Answer:
1m/s
Explanation:
D = 22m
T = 22s
S = 22÷22
= 1 m/s
What is the average depth of the oceanic crust? What percentage of our planet does it cover?
Answer: Oceanic crust, the outermost layer of Earth's lithosphere that is found under ... Sort out the facts and see how deep your knowledge goes in this quiz of the world's oceans. ... They commonly are thin (only about 10 cm [4 inches] thick) and cover a ... km (85 square miles) of seafloor to an average depth of 70 metres (230 feet).
Explanation:
True or False? The horizontal component of velocity of a projectile remains constant; the vertical component of velocity changes throughout the trajectory.
Answer:
False!!
Explanation:
A heat lamp produces 32.8 watts of power at a wavelength of 6.5 mm. How many photons are emitted per second
Answer: 1.1x10^21 photons / sec
Explanation:energy per photon
.. E / photon = hc / L = (6.626x10^-34 J x sec) x (3.00x10^8 m/sec) / (6.5x10^-6m)
.. E / photon = 3.06x10^-20 J / photon
then
.. (32.7 watts) x (1 J/sec / 1watt) x (1 photon / 3.06x10^-20J) = 1.1x10^21 photons / sec
The number of photons are emitted per second will be "1.07".
According to the question,
Power,
P = 32.8 watts= 32.8 J/s
Wave length,
λ = 6.5 μm= [tex]6.5\times 10^{-6}[/tex]
As we know,
→ [tex]E = \frac{hc}{\lambda}[/tex]
By substituting the values, we get
[tex]= \frac{32.8}{\frac{(4.42\times 10^{-34})(3\times 10^{-4})}{4.5\times 10^{-6}} }[/tex]
[tex]= \frac{32.8}{3.055e}[/tex]
[tex]= 1.07[/tex]
Thus the above answer is correct.
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Matter is defined as anything that has weight and takes up space.
Answer:
true matter takes up space and is anything that is around us
How much energy is required to raise the temperature of 5.0 g of silver from 298 K to
334 K?
Answer:
43.2J
Explanation:
Q = m × c × ∆T
Where:
Q = amount of energy
m = mass (grams)
c = specific heat capacity
∆T = change in temperature
Mass = 5.0g
Specific heat capacity of Silver (Ag) = 0.240 J/g°C
We need to convert the temperature from Kelvin (K) to °C
Initial temperature = 298 - 273 = 25°C
Final temperature = 334 - 273 = 61°C
Q = 5 × 0.240 × (61°C - 25°C)
Q = 1.2 × 36
Q = 43.2J
A 5-kg object is sliding to the right and encountering a friction force that slows it down. The coefficient of friction (μ) between the object and the surface is 0.1. What is the acceleration of the object? Note: There is no applied force here.
Answer:
The friction force is 4.9 N
[tex]a = 0.98\ m/s^2[/tex]
Explanation:
Friction Force
When an object is moving and encounters friction in the air or rough surfaces, it loses acceleration or speed because the friction force opposes motion.
The friction force when an object moves on a horizontal surface is calculated by:
[tex]Fr=\mu N[/tex]
Where [tex]\mu[/tex] is the coefficient of static or kinetics friction and N is the normal force.
If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal are equal in magnitude:
N = W = m.g
Thus, the friction force is:
[tex]Fr=\mu W[/tex]
The object has a mass of m=5 Kg, calculate the weight:
W = 5 * 9.8 = 49 N
It encounters a friction force that slows it down. We are given the coefficient of friction μ = 0.1, thus the friction force is:
Fr=0.1 49 N = 4.9 N
The friction force is 4.9 N
Since the only force acting on the object is the friction force, thus the net force is F = 4.9 N, and the acceleration can be calculated by using the equation of Newton's second law:
F = m.a
Solving for a:
[tex]\displaystyle a = \frac{F}{m}[/tex]
[tex]\displaystyle a = \frac{4.9}{5}[/tex]
[tex]\mathbf{a = 0.98\ m/s^2}[/tex]
tenses of
write=
read=
Answer:
present
Explanation:
read doesn't change but write is in present tense
A truck travels at a constant acceleration of 3.6 m/s2. Find the mass of the truck if a
39,600 N net force is required to produce this acceleration.
Answer:
The mass of the truck is 11,000 Kg.
Explanation:
Mechanical Force
According to the second Newton's law, the net force exerted by an external agent on an object of mass m is:
F = m.a
Where a is the acceleration of the object.
It's given a truck travels at a constant acceleration of [tex]a=3.6~m/s^2[/tex] when a net force of F=39,600 N is applied.
To find the mass of the truck, solve the equation for m:
[tex]\displaystyle m=\frac{F}{a}[/tex]
[tex]\displaystyle m=\frac{39,600}{3.6}[/tex]
Operating:
m = 11,000 Kg
The mass of the truck is 11,000 Kg.
The transfer of heat by the movement of a fluid is called:
A.
Conduction
B.
Radiation
C.
Convection PLS HELP ASAP!!!
Answer: C
Explanation:
Convective heat transfer, or convection, is the transfer of heat from one place to another by the movement of fluids, a process that is essentially the transfer of heat via mass transfer.
What type of reaction in the diagram?
B.Fission,because the reaction absorbed energy
C.Fusion,because the reaction formed heavier nuclei
D.Fission,because the reaction formed lighter nuclei
Answer:
b, i think
Explanation:
Which of the following is most likely to be a conductor?
OA. Aplastic
OB. A molecule containing only nonmetal atoms
OC. A covalently bonded molecule
D. Acompound containing metallic bonds
Answer:
D.
Explanation:
A compound containing metallic bonds
hope it helps!
5. Rashmi is watching her favourite TV show. Her grandmother asks her to look for her senga
which has fallen on the ground. Rashmi bringshermagnet and searches the neede
(a) Which property of magnet do you think helped Rashmi find the needle?
(b) Which value is displayed by Rashmi ?
Answer:
a) Magnet attracts to ferromagnetic substances like Iron.
b) Scientific thinking (critical thinking)
1. what is the term used for the movement of air from sea to land
2.Is it true that air blows from low pressure to high pressure zone. Explain
3.What is the ore of gold silicon
Answer:
1.Sea breeze
2. False
3.
a)Gold nugget
b)Silica sand
Explanation:
1.
The movement of air / wind blowing from the sea to the land is called sea breeze. This occurs due to high temperature differences between the water body and the land. The land is at its maximum heating, causing low pressure zones. High pressure zones in the adjacent water body causes the air to from from the sea to the land to occupy the zones of low pressures created.
2.
Air blows from areas with high pressures to those with low pressures. When an area experiences high temperatures, it causes the environment to have low pressure, creating voids , which are empty spaces that require to be filled. Additionally, the high temperatures heat the air around to cause it to rise creating the voids. Due to low pressure created, air from high pressure zones move in to occupy these zones. Hence air flows from areas with high air pressures to those with low pressures.
3.The ore for Gold is Gold nugget where as that for silicon is silica sand.
A pressure sensor inside of a mixing tank is designed to turn red when the pressure inside the tank exceeds 1.9 kPa. If the sensor is a square, 10 cm on each side, how great a force must be exerted on the sensor in order for it to turn red?
Answer:
19 N
Explanation:
From the question given above, the following data were obtained:
Pressure (P) = 1.9 kPa
Length (L) = 10 cm
Force (F) =?
Next, we shall convert 1.9 KPa to N/m². This can be obtained as follow:
1 KPa = 1000 N/m²
Therefore,
1.9 KPa = 1.9 KPa × 1000 N/m² / 1 KPa
1.9 KPa = 1900 N/m²
Thus, 1.9 KPa is equivalent to 1900 N/m².
Next, we shall convert 10 cm to m. This can be obtained as follow:
100 cm = 1 m
Therefore,
10 cm = 10 cm × 1 m / 100 cm
10 cm = 0.1 m
Thus, 10 cm is equivalent to 0.1 m
Next, we shall determine the area of the square. This can be obtained as follow:
Length (L) = 0.1 m
Area of square (A) =?
A = L²
A = 0.1²
A = 0.01 m²
Thus, the area of the square is 0.01 m².
Finally, we shall determine the force that must be exerted on the sensor in order for it to turn red. This can be obtained as follow:
Pressure (P) = 1900 N/m²
Area (A) = 0.01 m²
Force (F) =?
P = F/A
1900 = F / 0.01
Cross multiply
F = 1900 × 0.01
F = 19 N
Therefore, a force of 19 N must be exerted on the sensor in order for it to turn red.
What is the amount of space that a gas takes up called?
ASAP 20 points???
Answer:
Mass is the amount of matter an object has, and volume is the amount of space the matter takes up. Solids are easy to recognize. They have definite shape, mass, and volume. Trees are solids.
Explanation:
The amount of space occupied by a gas is called volume of the gas. The volume of a gas depends on the temperature and pressure.
What is volume ?Volume is a physical parameter describing the space occupied by a substance. Volume is an extensive property. Therefore, volume is dependent upon amount of the substance.
The total amount of a substance is called its mass. Density describes how closely its particles are packed in a given volume. Hence, volume is the ratio of mass to the density.
Volume of a gas changes with its temperature and pressure. As the pressure increases, volume increases whereas, as the temperature increase, volume increases.
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Why is it colder in winter than summer? Give two reasons.
Answer:
Actually, the sun goes a bit down, like it's not all the way up as to summer. How I know is that you actually can go online maybe search for some videos and see proof, I don't really know how to explain it.
Explanation:
Reason #1: If you check, go out for 12 hours and see, I think the sun is a little down.
Reason #2:
The earth’s axis is tilted.
From a Brainly user of this question for more info:
The Earth is NOT farther away from the sun in USA Winter, and NOT closer to the sun in USA Summer. In 2021, we will be NEAREST to the sun on January 2, and FARTHEST from the sun on July 5 !
NEAREST to the sun next Saturday.
FARTHEST from the sun next July 5.
How Many displacement vectors shown in the figure above have horizontal components
Answer:
I think it's 5.
Explanation:
Answer: 4 vectors
Explanation:
An alkane has molecular weight 86. Write its molecular formula. What will be its physical state?
C6H14
Gaseous state
it's unsaturated hence gaseous
A billiard ball moving at 5 m/s strikes another ball which is initially at rest. After the collision, the first ball moves at a velocity of 4.35 m/s at an angle of 30o below its original motion. Find the velocity and angle of the second ball after the collision. Assume that the collision is perfectly elastic.
Answer:
The velocity of the second ball is approximately 2.588 m/s
The angle direction of the second ball is 75° counterclockwise from the horizontal
Explanation:
The initial velocity of the first billiard ball = 5 m/s
The initial velocity of the billiard ball the first billiard ball strikes = 0 m/s
The final velocity of the first billiard ball = 4.35 m/s
The final direction of motion of the first billiard ball = 30° below its original motion
For perfectly elastic collision, whereby the target is at rest initially, by conservation of momentum, we have;
m₁ × [tex]\underset{v_1}{\rightarrow}[/tex] = m₁·[tex]\underset{v'_1}{\rightarrow}[/tex] + m₂·[tex]\underset{v'_2}{\rightarrow}[/tex]
Which gives;
m₁ × 5·i = m₁·((√3)/2×5·i - 2.5·j) + m₂·[tex]\underset{v'_2}{\rightarrow}[/tex]
∴ m₂·[tex]\underset{v'_2}{\rightarrow}[/tex] = m₁ × 5·i - m₁·((√3)/2×5·i - 2.5·j)
m₂·[tex]\underset{v'_2}{\rightarrow}[/tex] = m₁ × 5·(1 - √3/2)·i + m₁·2.5·j = m₁ × 2.5·(2 - √3)·i + m₁·2.5·j
Therefore, given that the mass of both billiard balls are equal, we have, m₁ = m₂, which gives;
m₂·[tex]\underset{v'_2}{\rightarrow}[/tex] = m₁·[tex]\underset{v'_2}{\rightarrow}[/tex] = m₁ × 2.5·(2 - √3)·i + m₁·2.5·j
∴ [tex]\underset{v'_2}{\rightarrow}[/tex] = 2.5·(2 - √3)·i + 2.5·j
The magnitude of the velocity of the second ball is [tex]\underset{v'_2}{\rightarrow}[/tex] = √((2.5·(2 - √3))² + 2.5²) ≈ 2.588 m/s
The direction of the second ball, θ = arctan(2.5/((2.5·(2 - √3))) = 75° counterclockwise from the horizontal.
4 pleasee i have to submit in 10 minutes
Answer:
True
Explanation: