Write the velocity vectors in component form.
• initial velocity:
v₁ = 4 m/s at 45º N of E
v₁ = (4 m/s) (cos(45º) i + sin(45º) j)
v₁ ≈ (2.83 m/s) i + (2.83 m/s) j
• final velocity:
v₂ = 4 m/s at 10º N of E
v₂ = (4 m/s) (cos(10º) i + sin(10º) j)
v₂ ≈ (3.94 m/s) i + (0.695 m/s) j
The average acceleration over this 3-second interval is then
a = (v₂ - v₁) / (3 s)
a ≈ (0.370 m/s²) + (-0.711 m/s²)
with magnitude
||a|| = √[(0.370 m/s²)² + (-0.711 m/s²)²] ≈ 0.802 m/s²
and direction θ such that
tan(θ) = (-0.711 m/s²) / (0.370 m/s²) ≈ -1.92
→ θ ≈ -62.5º
which corresponds to an angle of about 62.5º S of E, or 27.5º E of S. To use the notation in the question, you could say it's E 62.5º S or S 27.5º E.
Betelgeuse - the right shoulder star of Orion - is a red giant star. Its radiation peaks in the infrared at λ = 800 nm. What is the surface temperature of the star?
Answer:
3622.5 K
Explanation:
The radiation of red giant star is 800nm.
We need to find the surface temperature of the star. Let it is T.
Using Wein's displacement law to find it as follows :
[tex]\lambda=\dfrac{C}{T}[/tex]
C is constant an T is temperature
[tex]T=\dfrac{C}{\lambda}\\\\T=\dfrac{2.898\times 10^{-3}}{800\times 10^{-9}}\\\\ T=3622.5\ K[/tex]
So, the surface temperature of the star is 3622.5 K.
Categorize each quantity as being either a vector or a scalar. Explain your reasoning. a. 20 degrees Celsius b. 256 bytes c. 4000 Calories
Answer:
a. Scalar quantity
b. Scalar quantity
c. Scalar quantity
Explanation:
Generally, all physical quantities can be categorized into vector or scalar. Vector quantities can be described by both magnitude and direction, while scalar quantities can be described only by magnitude.
a. 20 degrees Celsius is a measure of a definite value of temperature, thus it is a scalar quantity. As temperature has no direction.
b. 256 byte is the storage capacity of an electronic device. It is a scalar quantity since it is described only by magnitude and no direction.
c. 4000 Calories is an amount of energy in a given substance. Thus, it is a scalar quantity.
What’s the answer to this question
Answer:
space = 66.24 [m]
Explanation:
To solve this problem we must remember that the average speed is defined as the relationship between a space traveled over a certain time.
[tex]Av = \frac{space}{time}[/tex]
where:
space [m]
Av = average velocity = 3.6 [m/s]
time = 18.4 [s]
[tex]space = 3.6*18.4\\space = 66.24 [m][/tex]
3. A car travels at 30mph for 2hours and then 40mph
for 3hours in the same direction. What is the average
speed of the vehicle's entire trip?
Answer:
1. 60/90
2.67/63
Explanation:
What is responsible for keeping an object at rest or maintaining an object's
constant velocity?
Answer:
Inertia
Explanation:
Inertia is a force which keeps stationary objects at rest and moving objects in motion at constant velocity.
Nicki rides her bike at a constant speed for 6 km. That part of her ride takes her 1 h. She then rides her bike at a constant speed for another
km. That part of her trip takes her 2 h. What is her average speed?
Answer:
Nicki's Average Speed is 6 km
Explanation:
If Nicki rides her bike at a constant speed for 1 hour, that means that Nicki will stay at a constant rate for another 2 hours.
Thus your answer: 6 km
A 1235 kg whale swims horizontally at a speed of 6.4 m/s. It suddenly collides directly with a stationary seal of mass 189 kg. The seal grabs onto the whale and holds fast. What is the speed of these two sea creatures just after their collision?
Answer:
The speed of these two sea creatures just after their collision is 5.55 m/s.
Explanation:
Given;
mass of the whale, m₁ = 1235 kg
initial speed of the whale, u₁ = 6.4 m/s
mass of the seal, m₂ = 189 kg
initial speed of the seal, u₂ = 0
let their final speed after collision, = v
Apply the principle of conservation of linear momentum;
m₁u₁ + m₂u₂ = v(m₁ + m₂)
(1235 x 6.4) + (189 x 0) = v(1235 + 189)
7904 = 1424v
v = 7904 / 1424
v = 5.55 m/s
Therefore, the speed of these two sea creatures just after their collision is 5.55 m/s.
Write 3 paragraphs explaining conduction, convection, and radiation. The paragraph must include examples of each and explain the type of energy. It also must include conductors and insulators and various examples of each.
Answer:
Eeeeeeeeeeeeeeeeeeeeeeeeeee
A 1100 kg sports car accelerates from 0m/s to 32m/s in 10 seconds. What is the average power of the engine?
Answer:
The average power of the engine of the sports car is 56.32 kW
Explanation:
Given;
mass of the sports car, m = 1100 kg
initial velocity of the sports car, u = 0 m/s
final velocity of the sports car, v = 32 m/s
time of motion, t = 10 s
The kinetic energy of the car is given by;
K.E = ¹/₂m(v² - u²)
K.E = ¹/₂mv²
K.E = ¹/₂ x 1100 x 32²
K.E = 563200 J
The average power of the engine of the sports car is given by;
Pavg = Energy / time
Pavg = 563200 / 10
Pavg = 56320 W
Pavg = 56.32 kW
Therefore, the average power of the engine of the sports car is 56.32 kW
The diagrams below show forces acting on a toy car as it moves to the right which diagram shows the toy car that will most likely accelerate to the right based on these conditions?
Answer:
Option 1.
Explanation:
To know which option is correct, let us calculate the net force in each case to know which will move to the right direction.
Option 1:
Force to the right (Fᵣ) = 8 N
Force to the left (Fₗ) = 6 N
Net force (Fₙ) =?
Fₙ = Fᵣ – Fₗ
Fₙ = 8 – 6
Fₙ = 2 N to the right
Option 2:
Force to the right (Fᵣ) = 8 N
Force to the left (Fₗ) = 10 N
Net force (Fₙ) =?
Fₙ = Fₗ – Fᵣ
Fₙ = 10 – 8
Fₙ = 2 N to the left
Option 3:
Force to the right (Fᵣ) = 10 N
Force to the left (Fₗ) = 10 N
Net force (Fₙ) =?
Fₙ = Fᵣ – Fₗ
Fₙ = 10 – 10
Fₙ = 0 (no movement)
Option 4:
Force to the right (Fᵣ) = 10 N
Force to the left (Fₗ) = 13 N
Net force (Fₙ) =?
Fₙ = Fₗ – Fᵣ
Fₙ = 13 – 10
Fₙ = 3 N to the left
From the illustrations made above, only option 1 has a net force toward the right direction. Therefore, only option 1 will have an acceleration towards the right direction.
Answer:
Option 1
Explanation:
HELLPPPP PLZZZ
10. Identify Which gas law
does this graph represent.
ok who love lizard can we talk plz
Answer:
Meeee
Explanation:
true or false gravitational pull decreases with an increase of distance between two objects
Answer:
true! : )
(i underlined the place where the answer is the other information is just as important but if you do not want to read it you do not have to)
Explanation:
Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases. the greater the mass, the greater the gravitational pull. gravitational pull decreases with an increase in the distance between two objects. Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.
A proton moves at a speed of 850 m/s in a direction perpendicular to a magnetic field with a magnitude of 0.70 T. What is the magnitude of the magnetic force on the proton?
Answer:
The magnitude of the magnetic force on the proton is 9.532 x 10⁻¹⁷ N
Explanation:
Given;
speed of proton, v = 850 m/s
magnitude of magnetic field, B = 0.7 T
Charge of proton, q = 1.602 x 10⁻¹⁹ C
The magnitude of the magnetic force on the proton;
F = qvB
F = ( 1.602 x 10⁻¹⁹)(850)(0.7)
F = 9.532 x 10⁻¹⁷ N.
Therefore, the magnitude of the magnetic force on the proton is 9.532 x 10⁻¹⁷ N
What is the minimum energy (in MeV) that is required to break a nucleus of 12C (of mass 11.99671 u) into three nuclei of 4He (of mass 4.00151 u each)?
Answer:
the minimum energy that needed to break the nucleus is 1.12608 × 10^-12 J
Explanation:
The computation of the minimum energy that needed to break the nucleus is shown below:
The Change in mass is
= 11.99671 - 3 × 4.00151
= 0.00782
The Energy = mc^2
= (0.00782 × 1.6 × 10^{-27}) × (3 × 10^8)^2
= 1.12608 × 10^-12 J
Hence, the minimum energy that needed to break the nucleus is 1.12608 × 10^-12 J
The same is to be considered
How does simple machines make work easier?
The simple machines can help make work easier by working quicker than the people and making other peoples jobs easier.
Explanation:
I hope this helped.
give a strong idea to protect , purify and the beautify of the Dal lake
Answer:
Water in dal lake is test for any heavy metals and pollutant, sewage and drainage system are also monitored for the same.
Explanation:
Dal lake is located in Srinagar that is the state capital of Kashmir and is known for recreation and tourism purposes. The area covers about 18 km sq. and forms a part of natural wetlands. The lake is prone to pollution and has recently undergone restoration measures. To address the problems of eutrophication algae and large-scale microplankton have been removed from the water. The government of India has taken various measures to check the pollution by setting up a committee to monitor the proper use of allotted funds.(3x104 kg) (4 x 104 m)
6 x 104 s
Answer:
77852x∧100 kgms
Explanation:
N stands for _____________________, which is an SI unit of force.
Answer:
Newton
Explanation:
the nitrogen group has 5 electrons true or false
Answer:
True
Nitrogen family elements consists of atoms having 5 electrons in their outer energy level.
Please mark me the brainliest
Hope it may helps you
When a red giant star begins to burn helium, it
the outer shell of the star are blown off with big clouds of gas and dust which is know as a nebula
HURRY
An ultrasound tech is trying to identify an object, but the screen of the machine is broken. Which statement best describes this situation?
The generated sound wave will not be able to reflect off of the object.
The sound wave will not be generated, so there will be no echoes received.
The echoes will be made but will not be able to be received by the machine.
The machine will not be able to process the received echoes into images.
Answer:
It’s b
Explanation:
Everyone else is wrong and I tried this and got it right
Answer:
the answer is b or "The sound wave will not be generated, so there will be no echoes received."
Explanation:
what is da answer please i need help
Answer:
Air and water i think
Explanation:
Cause Air =25% and water=25% so that equals 50%
How much would you have to eat for your appendix to explode ? I ate so much on thanksgiving and i need to know i’m very scared
Answer:
I don't think your appendix can explode because you ate too much honestly. It's not even possible to eat so much that your appendix explodes, and if you're feeling any pain it definitely isn't because your appendix is about to explode, believe me. Also you could just type it into the internet, that'd be a much faster solution.
If we increase the driving frequency in a circuit with purely resistive load, how do the amplitudes VR and IR change?
Answer:
V = I R
expression does not depend on the frequency, so when changing this quantity does not change the voltage or the current in the circuit.
Explanation:
In a purely resistive circuit, the Ohm relation, m for which
V = I R
We see that the previous expression does not depend on the frequency, so when changing this quantity does not change the voltage or the current in the circuit.
This does not happen in circuits with capacitors or inductors where there is an explicit dependence on frequency.
750 kg car zooms away from a red light with an acceleration of 7.8 m/s squared . What is the average net force in Newtons that the car experiences?
Answer:
5850 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 we have
force = 750 × 7.8
We have the final answer as
5850 NHope this helps you
6. A person lifts a package weighing 75 N. If she lifts it 1.2 m off the floor,
what is the packages potential energy?
Answer:
90J
Explanation:
Given parameters:
Weight of package = 75N
Height = 1.2m
Unknown:
Potential energy = ?
Solution:
Potential energy is energy due to the position of a body. It is mathematically expressed as;
Potential energy = mgh
m is the mass
g is the acceleration due gravity
h is the height
The weight is mg
Potential energy = 75 x 1.2 = 90J
(60 points pls help thx)a worksheet on calculating speed
A body can have zero average velocity but not zero average speed. Why?
What is the kinetic energy of a 4-kg toy car moving at a velocity of 8 m/s?
O 32J
64 J
O
128 J
256 J
Answer:
128 JExplanation:
The kinetic energy of an object can be found by using the formula
[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]
m is the mass
v is the velocity
From the question we have
[tex]k = \frac{1}{2} \times 4 \times {8}^{2} \\ = 2 \times 64[/tex]
We have the final answer as
128 JHope this helps you
Mass of toy the car = 4 kg
Velocity of toy the car = 8 m/s
Kinetic energy of an object is the energy that it possesses due to its motion.
Kinetic energy is directly proportional to the mass of the object and to the square of its velocity.
Formula of Kinetic energy:
[tex] \boxed{ \bf{KE = \dfrac{1}{2}mv^2}}[/tex]
KE → Kinetic energy of the Object (J)
m → Mass of the Object (kg)
v → Speed of the Object (m/s)
By substituting values in the formula, we get:
[tex] \rm \longrightarrow KE = \dfrac{1}{2} \times 4 \times 8^2 \\ \\ \rm \longrightarrow KE = \dfrac{1}{2} \times 4 \times 64\\ \\ \rm \longrightarrow KE = 2 \times 64 \\ \\ \rm \longrightarrow KE = 128 \: J[/tex]
[tex] \therefore [/tex] Kinetic energy of the toy car = 128 J
