Find the object's positions x1 , x2 , x3 , and x4 at times t1=2.0s , t2=4.0s , t3=13s , and t4=17s .
Answer:
Explanation:
x₁(2.0) = 4 m
x₂(4.0) = 7 m
x₃(13) = 9 m
x₄(17) = 0 m
A hollow aluminum sphere with outer diameter 10.4 cm has a mass of 746 g .What is the sphere's inner diameter?Express your answer with the appropriate units.Din=
Answer: the sphere's inner radius is 4.21 cm so the Inner diameter is 8.42 cm
Explanation:
Given that;
mass m = 746 g
diameter d = 10.4 cm
radius r = 5.2 cm
density of aluminum = 2.7 g/cm³
we know that
density × volume = mass
P × 4/3π( r₀³ - ri³) = m
so we substitute
2.7 × 4/3π( 5.2³ - ri³) = 746
11.3097( 5.2³ - ri³) = 746
( 5.2³ - ri³) = 746/11.3097
140.608 - ri³ = 65.961
ri³ = 140.608 - 65.961
ri³ = 74.647
ri = ∛74.647
ri = 4.21 cm
the sphere's inner radius is 4.21 cm so the Inner diameter is 8.42 cm
The inner diameter of the aluminum sphere is 8.42 cm.
The given parameters;
outer diameter of the sphere, d₀ = 10.4 cm mass of the sphere, m = 746 gdensity of aluminum, ρ = 2.7 g/cm³The volume of the aluminum sphere is calculated as follows;
[tex]volume = \frac{mass}{density} \\\\volume = \frac{746}{2.7} \\\\volume = 276.3 \ cm^3[/tex]
The volume of the sphere from the given outer and inner diameter is calculated as;
[tex]V = \frac{4}{3}\pi r^3\\\\V = \frac{4}{3}\pi \times \frac{d^3}{8} \\\\V = \frac{1}{6} \pi d^3\\\\V = \frac{1}{6} \pi (d_o^3 - d_i^3)\\\\d_o^3 - d_i^3 = \frac{6V}{\pi} \\\\d_i^3 = d_0^3 - \frac{6V}{\pi} \\\\d_i^3 = (10.4)^3 - \frac{6(276.3)}{\pi} \\\\d_i^3 = 597.23\\\\d_i = \sqrt[3]{597.23} \\\\d_i = 8.42 \ cm[/tex]
Thus, the inner diameter of the aluminum sphere is 8.42 cm.
Learn more here:https://brainly.com/question/24997036
A cheetah can run at a maximum speed
106 km/h and a gazelle can run at a maxi-
mum speed of 75.6 km/h.
If both animals are running at full speed,
with the gazelle 63.4 m ahead, how long before
the cheetah catches its prey?
Answer in units of s.
Answer:
Cheetah speed:
Its position at time t is given by
(1)
Gazelle speed:
the gazelle starts S0=96.8 m ahead, therefore its position at time t is given by
(2)
The cheetah reaches the gazelle when . Therefore, equalizing (1) and (2) and solving for t, we find the time the cheetah needs to catch the gazelle:
(2) To solve the problem, we have to calculate the distance that the two animals can cover in t=7.5 s.
Cheetah:
Gazelle:
So, the gazelle should be ahead of the cheetah of at least
Explanation: try these steps to answer
Two students (90.0 kg and 60.0 kg) on roller skates face-to-face push against each other. The 90.0 kg student moves at 5.0 m/s just after their hands lose contact. What is the velocity of the other student?
Given that,
Mass of student 1, m₁ = 90 kg
Mass of student 2, m₂ = 60 kg
Speed of student 1, v₁ = 5 m/s
To find,
The velocity of the other student.
Solution,
Using the conservation of momentum to find the velocity of the other student. Let it is v₂.
[tex]m_1v_1=m_2v_2\\\\v_2=\dfrac{m_1v_1}{m_2}\\\\v_2=\dfrac{90\times 5}{60}\\\\=7.5\ m/s[/tex]
So, the velocity of the other student is 7.5 m/s.
If a radio wave has speed 3.00 *10^8 m/s and frequency 94.7 MHz, what is its wavelength?
[tex]We \: know \: that, \: c = λv \\ thus \: \: λ = \frac{c}{v} = \frac{3 \times {10}^{8} \: m {s}^{ - 1} }{94.7 \times {10}^{6} } \\ = 3.16789863≈3.17 \: m[/tex]
Hope this helps :)
a sphere with a radius of 8cm carries a uniform volume charge density of 1.5 find the magnitude of the electric field
Answer:
E = 5.65 x 10¹⁰ N/C
Explanation:
First we need to find the total charge on the sphere. So, we use the following formula for that purpose:
[tex]q = \sigma V\\[/tex]
where,
q = total charge on sphere
V = Volume of Sphere = [tex]\frac{4}{3} \pi r^3 = \frac{4}{3} \pi (0.08\ m)^3 = 0.335\ m^3[/tex]
σ = volume charge density = 1.5 C/m³
Therefore,
[tex]q = (0.335\ m^3)(1.5\ C/m^3) \\q = 0.502 C[/tex]
Now, we use the following formula to find the electric field due to this charged sphere:
[tex]E = \frac{kq}{r^2}[/tex]
where.
E = Electric Field Magnitude = ?
k = Coulomb's Constant = 9 x 10⁹ N.m²/C²
r = radius of sphere = 8 cm = 0.08 m
Therefore,
[tex]E = \frac{(9\ x\ 10^9\ Nm^2/C^2)(0.502 C)}{(0.08\ m)^2}\\\\[/tex]
E = 5.65 x 10¹⁰ N/C
As the shuttle bus comes to a sudden stop to avoid hitting a dog. It accelerates unfirmly at -4.1m/s^2 as it slow down from 9.0m/s to 0.0m/s. Find the interval of acceleration for the bus
The interval of acceleration of the bus will be 2.19 seconds.
What is acceleration?An object is considered to have been accelerated if its velocity changes. Depending on whether an object is moving faster, slower, or in a different direction, its velocity may change.
Examples of acceleration include a falling apple, the moon orbiting the earth, and a car that has stopped at a stop sign. These examples demonstrate how acceleration occurs whenever a moving object modifies its direction, speed, or both.
Acceleration is a vector quantity.
SI unit of acceleration is m/s.
According to the question, the given values are :
Acceleration, a=-4.1 m/s²
Initial velocity, u=9.0 m/s and,
Final velocity, v=0 m/s
By using Equation of motion, i.e.,
v=u+at
⇒0 m/s=9m/s+(-4.1 m/s²)(t)
⇒-9 m/s=-4.1 m/s²×t
t=(-9 m/s)/(-4.1 m/s²)
t= 2.19 seconds.
Hence, the time interval of acceleration of the bus will be 2.19 seconds.
To get more information about acceleration :
https://brainly.com/question/12550364
#SPJ1
which of the following could be cause of a irregular systolic reading
1. The one-way valves are not working
2 Blood is not flowing properly from the veins to the heart
3 Carbon dioxide and oxygen are mixing in the blood
4. The left ventricle is having difficulty contracting
A light ray passing from medium 1 to medium 2 is bent away from the perpendicular normal to the boundary surface. What happens to the velocity of the refracted wave as it enters medium 2?
The velocity increases.
The velocity decreases.
The velocity becomes zero.
The velocity does not change.
Answer:
The answer is a for Plato users.
Explanation:
Since the angle of the refracted ray moves away from the normal, it must be traveling in a faster medium.
Answer: Velocity Increases
Explanation: Plato
The time taken by a mass projected vertically
upwards to reach the maximum height (with air
resistance not neglected) is 10 sec. The time of
descent of the mass from the same height will be
Answer:
10s
Explanation:
The time to get to the maximum would be the same as the time to get down to the maximum unless somehow gravity’s changes during the duration it goes up to and from maximum height.
Suppose that a certain fortunate person has a net worth of $73.0 billion 7.30x10¹9). If her stock has a good year and gains $3.20 billion (3.20 x 109) in value, what is her new net worth? Express your answer to three significant figures.
Answer:
76.2 billion
Explanation:
73.0 + 3.20 billion = 76.2 billion
the distance between my home to school is 3 km and 240 m. what is the distance in km,m and dm
Answer:
km = 3.24
m = 3,240
dm = 32,400
Explanation:
km = 1000m
m = 10dm
Explanation:
take a look carefully hope it will help u
A solid disc is rolling without slipping at constant speed on a horizontal surface. What is the ratio of its rotational kinetic energy to its translational kinetic energy
Answer:
2/7
Explanation:
The Rotational Kinetic Energy is given as RKE = 1/2 * I * w², where
w = v/R and
I = 2/5mR²
The Translational Kinetic Energy is given as TKE = 1/2 * m * v²
RKE = 1/2 * 2/5mR² * (v/R)²
RKE = 1/2 * 2/5mR² * v²/R²
RKE = 1/5mv²
To get the ratio, we use the relation
RKE / (TKE + RKE)
and thus, we have
1/5mv² / (1/2mv² + 1/5mv²)
1/5mv² / 7/10mv²
1/5 ÷ 7/10
1/5 * 10/7
2/7
Therefore, the ratio of RKE to TKE is 2/7
what is the frequency of a wave traveling at 340 m/s with a wavelength of 125 m
Answer:
I think it's really cool
A 4-kg object is moving with a speed of 5 m/s at a height of 2 m. The kinetic
energy of the object is approximately _J.
Hello!
[tex]\large\boxed{KE = 50J}[/tex]
Use the formula for kinetic energy:
[tex]KE = \frac{1}{2}mv^{2}[/tex]
Plug in the given mass and velocity:
[tex]KE = \frac{1}{2} (4)5^{2}[/tex]
Simplify:
[tex]KE = \frac{1}{2} (100)\\\\KE = 50 J[/tex]
Elizabeth was a brilliant lawyer until she began hearing voices and seeing things that are not there. She also has trouble with her thought processes and making sense in her speech. She is suffering from:
A. fugue
B. schizophrenia
C. anxiety
D. dissociation
Answer:
B) Schizophrenia
Explanation:
Hope this helps!
What will happen to the ice cubes in the two spoons? How will they be different?
Answer: the ice cube to melt more quickly on the metal block than on the wooden block.
Explanation:
A 35 kg child goes down a playground that is inclined at an angle of 27.5 degrees above the horizontal. Find the acceleration if the child given that the coefficent of kinetic friction between the child and the slide is 0.415.
Answer:
4.16m/s²
Explanation:
According to Newtons second law;
[tex]\sum Fx = ma_x\\Fm - Ff = ma_x\\W sin\theta - \mu R cos \theta = ma_x\\mg sin\theta - \mu mg cos\theta = ma_x\\[/tex]
Fm is the moving force
[tex]\mu[/tex] is the coefficient of kinetic friction between the child and the slide
m is the mass
g is the acceleration due to gravity
a is the acceleration of the child
Substitute the given values and get the acceleration as shown;
35(9.8)sin27.5 - 0.415(35)(cos27.5) = 35a
158.38-12.88 = 35a
145.49 = 35a
a = 145.49/35
a = 4.16m/s²
Hence the acceleration of the body is 4.16m/s²
What is a variable in an experiment?
Answer: anything that can change or be changed
Explanation: In other words, it is any factor that can be manipulated, controlled for, or measured in an experiment.
Answer:
Dependend variable or Independent variable
Explanation:
A variable is anything that can change or be changed. In other words, it is any factor that can be manipulated, controlled for, or measured in an experiment. Experiments contain different types of variables.
What do scientists do? A. They use their knowledge to make public policy. B. They make ethical decisions for the government. C. They gather evidence to help answer questions. D. They discover as many facts as they can.
Answer:
Explanation:
C
Use the illustration below to answer Question #2:
The color spectrum above shows the wavelength range for each color of light. Based on this information, which statement about the colors at each end is true? (AKS 9a, DOK 1)
Red has the longest wavelength and the lowest frequency
Red has the shortest wavelength and the lowest frequency
Violet has the longest wavelength and the lowest frequency
Violet has the shortest wavelength and the lowest freq
Violet has the shortest wavelength and the lowest frequency.
When the entire spectrum of red visible light passes through a prism the wavelengths are separated into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength at about 380 nanometers and red has the longest wavelength at about 700 nanometers.
Visible light travels at 300,000 km/s and can be separated into 7 colors. From the longest wavelength, they are red, orange yellow green blue indigo, and violet. To clarify color is the eye's perception of different wavelengths of electromagnetic light. When it comes to visible light, the color with the highest frequency violet also has the highest energy. The lowest frequency of visible light red has the lowest energy.
Learn more about The wavelength range here:-https://brainly.com/question/13986690
#SPJ1
I really need help with this
Answer: i've done the same thing before kinda but anyway use this website that was recommended to me by a teacher https://www.britannica.com/science/mica (i got an A btw)
Which of the graphs describes the motion of a person who first rode her bicycle at constant speed and then rested?
Answer:
Its graph 1
Explanation:
She started at the origin and kept riding her bike until she stopped which causes the line to go staright because she's not moving.
An 877 kg drag race car accelerates from rest to 116 km/h in 0.951 s. What change in momentum does the force produce? Answer in units of kg. m/s.
Answer:
The change in momentum is 28265.71 kg-m/s.
Explanation:
Given that,
Mass of a car, m = 877 kg
Initial velocity of the car, u = 0 (at rest)
Final velocity of the car, v = 116 km/h = 32.23 m/s
Time, t = 0.951 s
We need to find the change in momentum produced by the force. It can be calculated as the difference of final momentum and the initial momentum.
[tex]\Delta P=m(v-u)\\\\=877\times (32.23-0)\\\\=28265.71\ kg-m/s[/tex]
So, the change in momentum is 28265.71 kg-m/s.
which two processes will be involved as this chick grows into a chicken
Answer:
CELL DIVISION THAT INVOLVES MITOSIS AND CELL GROWTH DUE TO TAKING IN NUTRIENTS
Explanation:
Answer: Cell growth due to taking in nutrients and Cell growth due to fertilization.
Explanation:
Which event is an example of condensation?
• A. A spilled drop of rubbing alcohol disappears.
O B. Fog forms in a valley.
• C. A puddle dries when exposed to the Sun.
D. A lake becomes a skating rink in the winter.
Correct answer B
Answer:
B. Fog forms in a valley.
Explanation:
A powerful missile reaches a speed of 5 kilometers per second in 10 seconds after its launch. What is the average acceleration of the missile during this period?
A. 0.2 meters/second2
B. 0.4 centimeters/second2
C. 0.5 meters/second2
D. 0.5 kilometers/second2
Answer:
D option
Explanation:
please mark me brainliest and 5 star
Answer:
D. 0.5 km/s2
Explanation:
Which wave has high enough energy to cause damage to skin and sometimes cancer?
Answer: All UV can have harmful effects on biological matter (such as causing cancers) with the highest energies causing the most damage.
Explanation:
HELP PLEASE I WILL MARK BRAINLIEST
Answer:
Acceleration.
Explanation:
Seems like u don't have time for a explanation. :
Answer:
A. Displacement
Consider the vector below. Determine its length and direction. Vector: 2i+11j+5k2i+11j+5k Magnitude: Direction (unitized):
Answer:
Magnitude: [tex]\|\vec v\| = 5\sqrt{6}[/tex], Direction (unitized): [tex]\vec u = \frac{\sqrt{6}}{6}\,\hat{i} + \frac{11\sqrt{6}}{12}\,\hat{j}+\frac{5\sqrt{6}}{12}\,\hat{k}[/tex]
Explanation:
Let [tex]\vec v = a\,\hat{i}+b\,\hat{j}+c\,\hat{k}[/tex]. The magnitude of the vector is represented by the Pythagorean formula:
[tex]\|\vec v\| = \sqrt{a^{2}+b^{2}+c^{3}}[/tex] (1)
And the direction is represented by the direction cosines, measured in sexagesimal degrees, that is:
[tex]\theta_{x} = \cos^{-1} \frac{a}{\|\vec v\|}[/tex] (2)
[tex]\theta_{y} = \cos^{-1} \frac{b}{\|\vec v\|}[/tex] (3)
[tex]\theta_{z} = \cos^{-1}\frac{c}{\|\vec v\|}[/tex] (4)
If we know that [tex]a = 2[/tex], [tex]b = 11[/tex] and [tex]c = 5[/tex], then the magnitude and directions of the vector are, respectively:
[tex]\|\vec v\| = \sqrt{2^{2}+11^{2}+5^{2}}[/tex]
[tex]\|\vec v\| = 5\sqrt{6}[/tex]
The direction can be represented by the following unit vector:
[tex]\vec u = \frac{\vec v}{\|\vec v\|}[/tex] (5)
[tex]\vec u = \frac{2\,\hat{i}+11\,\hat{j}+5\,\hat{k}}{2\sqrt{6}}[/tex]
[tex]\vec u = \frac{\sqrt{6}}{6}\,\hat{i} + \frac{11\sqrt{6}}{12}\,\hat{j}+\frac{5\sqrt{6}}{12}\,\hat{k}[/tex]