Answers
The maximum velocity of the pendulum is determined as 3.03 m/s.
Maximum velocity of the pendulum
The maximum velocity of the pendulum is calculated from the principle of conservation of energy as shown below;
K.E = P.E
¹/₂mv² = mgh
v² = 2gh
v = √2gh
where;
h is the maximum height = 0.468 mv is the maximum velocityv = √(2 x 9.8 x 0.468)
v = 3.03 m/s
Thus, the maximum velocity of the pendulum is determined as 3.03 m/s.
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Related Questions
The drawing shows a crystalline slab (refractive index 2.043) with a rectangular cross section. A ray of light strikes the slab at an incident angle of θ1= 37.0°, enters the slab, and travels to point P. This slab is surrounded by a fluid with a refractive index n. What is the maximum value of n such that total internal reflection occurs at point P?
Answers
A drawing shows a crystalline slab (refractive index 2.043) with a rectangular cross-section, the maximum value of n is mathematically given as
nm=1.627
What is the maximum value of n such that total internal reflection occurs at point P?Generally, the equation for the snells law is mathematically given as
[tex]n=\frac{sin \theta_1}{sin \theta_2}[/tex]
Therefore
[tex]\theta_2=sin-1(sin35/1.725)\\\\\theta_2=19.42[/tex]
From the image critical angle is
ic=90-19.42
ic=70.58
In conclusion, snells law for total internal reflection
[tex]gn=\frac{sinic}{sin90}[/tex]
sinic=nm/ng
nm=1.725*sin70.58
nm=1.627
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A jumping frog travels 9 meters in 5 seconds. What is the frog's velocity? Answer to
the nearest tenth.
Answers
Answer:
1.8 m/s
Explanation:
Given,
Distance ( d ) = 9 meters
Time ( t ) = 5 seconds
To find : Velocity ( v ) = ?
Formula : -
v = d / t
v = 9 / 5
v = 1.8 m/s
The frog's velocity is 1.8 m/s.
When two surfaces interact, some mechanical energy leaves the system as thermal energy due to ________.
Answers
Answer:
Friction
Explanation:
Friction is wasted energy in the form of heat and or destruction.....this is why combustion engines have oil lubriction ====> reduce friction and wear
Which of the following is a disadvantage of renewable energy?
A. It creates large amounts of pollution
B. It could be costly to initially switch to.
C. It will not produce enough power to sustain us.
D. It will not run out.
Answers
Answer:
B. It could be costly to initially switch to.
Velocity can be negative, but kinetic energy cannot. Why?
Answers
Because of the formula
Let's see
how
KE=1/2mv²m is mass
v is velocity
as it's v²
Its must be greater than or equal to 0 ,So kinetic energy can't be negative
During which weeks of the moon cycle does the moon appear to be getting smaller
Answers
Answer:
Since the illuminated side of the moon appears to be getting smaller in size (after the full moon), the moon is said to be in the "erosion phase". For the next 7 days, the moon will remain in an “eroded gibbous stage”.
Explanation:
3- Which of the following represents a way through which thermal energy is transferred by direct contact?
a Conduction O
b. Radiation O
c. Convection O
d. Specific heat
Answers
Answer:
A. conduction
Explanation:
Conduction is the transfer of energy from one molecule to another by direct contact.
A contractor uses a paddle stirrer to mix a can of paint. The paddle turns at 27.6 rad/s and exerts a torque of 16.6 N•m on the paint, doing work on the paint at a rate of Power = 16.6 N•m × 27.6 rad/s = 458.2 W. An internal energy increase of 11.9 kJ causes the temperature of the paint to increase by 1.00K.
If there were no heat flow between the paint and surroundings, what would be the temperature change of the paint as it is stirred for 5.00 mins?
Answers
P = W/t
t = W/P = 11.9 x 10³ : 458.2 = 25.971 s = 0.433 min
0.433 min = 1 K
so for 5 mins = 0.433 x 5 x 1 K = 2.165 K
a man weights 800n at the earth's surface. What will be the weight of the same person when he is orbiting the earth at double the high of the earth's center
Answers
Answer:
200 N
Explanation:
F = G m1 m2 / r^2 G m1 and m2 are constant for this scenario
so this becomes
F is proprtional to 1/r^2
f = 1/r^2
800 = 1/r^2 now change r to 2r
F = 1/(2r)^2 = 1/4 * 1/r^2 <======shows force will be 1/4 of original , or 200N
Skater 1 has a mass of 80.0 kg and a velocity of 10.0 m/s to the right. He
collides with Skater 2, who has a mass 50.0 kg and a velocity of 5.0 m/s to
the left. After they collide, Skater 2 has a velocity of 15.0 m/s to the right
What is the final velocity of Skater 1?
O A. 16.3 m/s to the right
O B. 15.0 m/s to the left
O C. 2.5 m/s to the left
D. 2.5 m/s to the right
SUBMIT
Answers
6) If the mass of an object is 28kg and the gravitational force is 18G, what is the gravitational force of an object
that has half the mass?
a. 14kg
b. 56kg
C. 9G
d. 36G
Answers
Answer:
The gravitational force of an object that has half the mass is C) 9G.
Explanation:
Newton's Law of Gravitation:
[tex]\displaystyle F_g=G\frac{Mm}{r^2}[/tex]We can see that the gravitational force, [tex]F_g[/tex], and mass (let's combine M * m into just "m"), [tex]m[/tex], are directly proportional to each other.
This means that if [tex]F_g[/tex] increases, [tex]m[/tex] also increases.
Therefore, if the mass is halved, that means that the gravitational force is also going to be halved.
The answer is 18G / 2 = 9G, which corresponds to answer C) 9G.
If a resistance is added in serles to a circult, the circult resistance is then:
O less
O greater
o the same
Answers
Answer:
the overall resistance increases
Explanation:
so, if a resistance is added in series to a circuit, the circuit resistance is greater
A particle q1 with the charge of 4.5x10-⁶C is fixed in the space from a distance of 3.7cm , a particle q2 of mass 6.9g and the charge of -3.10x10-⁶C is fired with the initial velocity of 60m/s toward the fixed charge. what is the velocity when it is 1cm away from the q1
Answers
The velocity of particle 2 when it is 1cm away from particle 1 is determined as 62.18 m/s.
Force between the charges
The electrostatic force between the two charges is calculated as follows;
F = (kq1q2)/(r²)
F = (9 x 10⁹ x 4.5 x 10⁻⁶ x 3.1 x 10⁻⁶)/(0.037)²
F = 91.71 N
Acceleration of the second particleF = ma
a = F/m
a = (91.71 N)/(0.0069 kg)
a = 13,291.2 m/s²
Velocity of particle 2 at 1 cm from particle 1v² = u² + 2as
v² = 60² + 2(13,291.2)(0.01)
v² = 3865.82
v = 62.18 m/s
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Which particles in an atom are acted upon by the strong force? A. Electrons and neutrons B. Neutrons and protons O C. Protons and electrons D. Protons, neutrons, and electrons SUE w
Answers
[tex] \large \sf \pmb{B) \: Neutrons \: and \: Protons}[/tex]
Neutrons And Protons is a particles in an atom and are acted upon by the strong force.How is water used in a coal-fired power plant?
Answers
Answer:
Cooling. Water is used by thermoelectric generating facilities (coal, natural gas, and nuclear) to make electricity through converting the water into high-pressure steam to drive turbines.
Nisha stands at the edge of an aquarium 3.0 m deep. She
shines a laser at a height of 1.7 m that hits the water of the pool
8.1 m from the edge. How far from the edge of the pool will the light hit bottom?
Answers
It's denoting to a right angle traingle
Perpendicular=P=3+1.7=4.7mBase=B=8.1mHypotenuse we need
Apply Pythagorean theorem
H²=P²+B²H²=4.7²+8.1²H²=87.7H=9.4mExplanation:
The graph of y = √x is reflected in the y-axis, is horizontally stretched by a factor of 2, shifted 3 units up and 1 unit left. What is the equation of the transformed graph?
Original: y = √(x)
Reflected in the y-axis: y = √(-x)
Horizontally stretched by a factor of 2: y = √(-x/2)
Shifted 3 units up: y = 3 + √(-x/2)
And 1 unit left: y = 3 + √(-(x+1)/2)
A lamp has a voltage of 120 V across it and uses a current of 0.5A. What is the power used by the lamp?
Answers
Given the voltage of the lamp and the amount of current use, the power used by the lamp is 60Watts.
What is the power used by the lamp?Power is the quantity of energy transferred per unit time. It can be expressed as;
P = v × I
Where v is voltage and I is current.
Given that;
Voltage v = 120VCurrent I = 0.5APower P = ?P = v × I
P = 120V × 0.5A
P = 60Watts
Therefore, given the voltage of the lamp and the amount of current use, the power used by the lamp is 60Watts.
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In sound, the wavelength of the sound
determines the __ of the sound.
A. Pitch
B. Volume
C.Length
Answers
Answer:
A) Pitch
Explanation:
Wavelength determines the pitch ( or frequency which is 1/wavelength)
4. Shania was unsuccessful in turning a bolt. She then decides to fasten a rope as shown below and tried to turn the bolt. Will she be successful this time around? Explain.
Answers
Answer:
No. The torque required after attaching the rope is the same as it was before attaching the rope.
L = r X F
The torque was not increased by attaching the rope.
a machine is 12% efficient if useful work done by it is 6 joules what will be the total energy consumed by it
Answers
Since work is the change in kinetic energy, the efficiency of a machine can be stated as the percentage of the output work divided by the input work minus the work lost from to friction and heat. Multiply Eff by 100% to get the efficiency percentage.
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What kind of life cycle do insects that undergo a complete metamorphosis have?
Group of answer choices
A. Pupal lifecycle
B. Hemimetabolous
C. Incomplete lifecycle
D. Holometabolous
Answers
Answer:
A
Explanation:
insects undergo Pupal life cycle
Please Help!
Which statement BEST describes the production of energy in the Sun?
A) Nuclei with more mass break down into nuclei with less mass in the Sun’s core to release energy.
B) Nuclei with less mass combine to form nuclei with more mass in the Sun’s core and release energy.
C) Nuclei with more mass break down into nuclei with less mass on the Sun’s surface to release energy.
D) Nuclei with less mass combine to form nuclei with more mass on the Sun’s surface and release energy.
Answers
The statement that best describes the production of energy in the Sun is nuclei with less mass combine to form nuclei with more mass in the Sun’s core and release energy.
How is energy produced in the sun?Sun is a major source of renewable energy to the Earth. This energy serves various purposes by living organisms.
However, the energy is generated as a result of nuclear fusion, which is the combination of smaller particles to form a larger one.
Therefore, the statement that best describes the production of energy in the Sun is nuclei with less mass combine to form nuclei with more mass in the Sun’s core and release energy.
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What happens to the deflection when we increase the number of turns of wire
around the compass, but keep the same current?
Answers
Answer:
Because the amount of the field is exactly related to the strength of the electric current, the deflection increases as the current increases. That is, as the electric current increases, so does the magnetic field.
Explanation:
Alchemists searched for ways to change lead into gold. Which type of change
must occur for this conversion to happen?
Answers
Answer:
It's had to be a Nuclear change since by nuclear fusion we can convert lead to Gold.
Therefore Option B. Nuclear Change is Answer.
By : Modern Einstein
A student lifts a physical science book off the table and above their head. Is there work being done?
Answers
Answer: A force must cause a displacement in order for work to be done. A book falls off a table and free falls to the ground. Yes. This is an example of work.
Explanation:
If ⃗ is the vector sum of ⃗ and ⃗⃗, ⃗ = ⃗ + ⃗⃗, what must be true about the directions and magnitudes of ⃗ and ⃗⃗ if = + ? What must be true about the directions and magnitudes of ⃗ and ⃗⃗ if = 0?
Answers
The magnitude of the vector sum of 2x and 3y is determined as 3.6 units and the direction is 56.3⁰.
Magnitude of the vector
The magnitude of two vectors is determined using the following formula;
[tex]|V| = \sqrt{V_x^2 + V_y^2}[/tex]
Let the sum of the vector = 2x + 3y
The magnitude of the vectors is calculated as follows;
[tex]|V| = \sqrt{2^2 + 3^2} \\\\|V| = 3.6 \ units[/tex]
Direction of the vectorsThe direction of the vectors is calculated as follows;
[tex]tan(\theta) = \frac{V_y}{V_x} \\\\tan(\theta) = \frac{3}{2} \\\\tan(\theta) = 1.5\\\\\theta = tan^{-1} (1.5)\\\\\theta = 56.3 \ ^0[/tex]
Thus, the magnitude of the vector sum of 2x and 3y is determined as 3.6 units and the direction is 56.3⁰.
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- A particular light source gives off light waves with a measured wavelength of
2.0 X 10-7m. What is the frequency of the light source?
Answers
Answer:
f = 1.5 x 10¹⁵ Hz
Explanation:
Light is an electromagnetic wave and we know that the speed of light is a constant which is
3 x 10⁸ m/s.
Knowing this; v = λ x f
λ = wavelength
f= frequency of light
v = seed of light
f = v/λ
f = 3 x 10⁸m/s / 2.0 x 10-⁷ m
f = 1.5 x 10¹⁵ Hz
The diagram shows vectors that are not perpendicular to one another.
Three vectors are drawn tail to tip method in the x y plane. Vector labeled E starts at the origin and is drawn in the northeast direction. The second vector is labeled F and drawn in the south southeast direction. The third is labeled G and drawn in the north northeast direction. X and Y components are drawn for each vector along the x and y axis.
The data table shows the magnitudes of the components of each displacement vector.
A 2 column table with 5 rows. The first column is labeled Component with entries E Subscript x Baseline, F Subscript x Baseline, G Subscript x Baseline, E Subscript y Baseline, F Subscript y Baseline, G Subscript y Baseline. The second column is labeled Magnitude in centimeters with entries 2, 4, 2, 2, 1, 3.
What is the angle of the resultant vector, rounded to the nearest tenth?
0.1°
10.0°
36.9°
41.1°
Answers
The angle of the resultant vector, rounded to the nearest tenth is determined as 36.9⁰.
Magnitude of components vectors
The resultant vector of the three vectors can be determined from the magnitude of the components vectors.
Ex = 2
Fx = 4
Gx = 2
Ey = 2
Fy = 1
Gy = 3
∑Vx = Ex + Fx + Gx = 2 + 4 + 2 = 8
∑Vy = Ey + Fy + Gy = 2 + 1 + 3 = 6
Angle of the resultant vectortanθ = Vy/Vx
tanθ = 6/8
tanθ = 0.75
θ = tan⁻¹(0.75)
θ = 36.9⁰
Thus, the angle of the resultant vector, rounded to the nearest tenth is determined as 36.9⁰.
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AC 1. When a driver applies the brake of a light truck traveling a speed of 12 m/s it skids a distance of 3 m before stopping. How far will the truck skid if it is traveling at a speed of 24 is when the brakes are applied?
Answers
vf²=vi²-2ad (vf = 0, stop)
12² = 2a.3
144 = 6a
a = 24 m/s²
24² = 2 x 24 x d
576 = 48d
d = 12 m
A force of 124 newtons pushed a 12kg object forward 13 meters. How much work is being done?
Answers
Answer:
Work = Force * Distance
Here,
force = 124 N
distance = 13m
Thus, Work = 124 * 13 = 1612 joules(J)