(a) The spring stiffness constant of the spring is 18,392 N/m.
(b) The time the car was in contact with the spring before it bounces off in the opposite direction is 0.23 s.
Kinetic energy of the carThe kinetic energy of the car is calculated as follows;
K.E = ¹/₂mv²
K.E = ¹/₂ x 950 x 22²
K.E = 229,900 J
Stiffness constant of the springThe stiffness constant of the spring is calculated as follows;
K.E = U = ¹/₂kx²
k = 2U/x²
k = (2 x 229,900)/(5)²
k = 18,392 N/m
Force exerted on the springF = kx
F = 18,392 x 5
F = 91,960 N
Time of impactF = mv/t
t = mv/F
t = (950 x 22)/(91960)
t = 0.23 s
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If a lever has an input arm of 80 cm and an output arm of 20 cm, what is its ideal mechanical advantage?
Answer:
16
Explanation:
it is a routine composed of yells and cheers gymnastic skill and dance
Cheer dance is a routine composed of yells and cheers gymnastic skill and dance.
What is cheer dance?Cheer dance or cheerleading is a group activity used to entertain fans at athletic events and inspire louder, more enthusiastic cheering. It combines dancing and acrobatic aspects with shouted phrases.
A never-ending range of diverse stunts, jumps, pyramids, dances, and chants that integrate a variety of different movements can be included in the immensely complex sport of cheerleading. Base, partner, and spotter are the three primary cheerleading roles. These roles are all a part of cheerleading stunts, which pose the greatest risk of harm to participants.
It is a competitive sport and leisure activity made up of a set routine with necessary performance components, much like in gymnastics and dance. Additionally, it hopes to get the crowds to cheer in team sports event.
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Your question is incomplete, but most probably your full question was:
1. It is a routine composed of yells and cheers, gymnastic skills and dance.
A. Contemporary dance
B. Hip-hop dance
C. Street dance
D. Cheer dance
What is the direction of a current that experiences the magnetic force shown above
east
south
north
west
Answer: Up
Explanation:
How far must a 2.0-cm-diameter piston be pushed down into one cylinder of a hydraulic lift to raise an 9-cm-diameter piston by 30 cm
The distance the 2.0-cm-diameter piston must be pushed down to raise 9 cm diameter is 607.5 cm.
Distance the piston must be pushed down
The distance the piston must be pushed down is calculated as follows;
A₁d₁ = A₂d₂
πr₁²d₁ = πr₂²d₂
r₁²d₁ = r₂²d₂
(1)²(d₁) = (4.5)²30
d₁ = 607.5 cm
Thus, the distance the 2.0-cm-diameter piston must be pushed down to raise 9 cm diameter is 607.5 cm.
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According to Newton's 2nd Law of Motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is
10 m/s/s
10 m/s
100 m/s/s
1 m/s/s
According to Newton's second Law of motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is 1m/s².
How to calculate acceleration?The acceleration of a moving body can be calculated by dividing the force of the body by its mass.
According to this question, the mass of an object is 10 kg and the force is 10 newtons, then the acceleration can be calculated as follows:
acceleration = 10N ÷ 10kg
acceleration = 1m/s²
Therefore, according to Newton's second Law of motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is 1m/s².
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3. why is the sum of the maximum voltages across each element in a series r l c circuit usually greater than the maximum applied voltage? doesn't that inequality violate kirchhoff's loop rule?
The sum of the maximum voltages across each element in a series RLC circuit is usually greater than the maximum applied voltage because voltages are added by vector addition.
What is the Kichoff's loop rule?Kirchhoff's loop rule states that the algebraic sum of potential differences, as well as the voltage supplied by the voltage sources and resistances, in any loop must be equal to zero.
In a series RLCcircuit, the voltages are not added by scalar addition but by vector addition.
Kirchhoff's loop rule is not violated since the voltages across different elements in the circuit are not at their maximum values.
Therefore, the sum of the maximum voltages across each element in a series RLC circuit is usually greater than the maximum applied voltage because voltages are added by vector addition.
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Why does a balloon shrink in cold water?
Answer:
The balloon shrank because the average kinetic energy of the gas molecules in a balloon decreases when the temperature decreases. This makes the molecules move more slowly and have less frequent and weaker collisions with the inside wall of the balloon, which causes the balloon to shrink a little.
Explanation:
Not only does it shrink in cold water but it shrinks in the cold itself.
Hope this helps!!
The next closest star to Earth, Proxima Centuri, is 4.25 lightyears away. How far is that in meters?
Answer:
4.0208 x 10^16 meters
Explanation:
speed of light in m/s * # seconds in a year * 4.25 years =
2.99792 x 10^8 * 3600*24*365.25 * 4.25 = 4.0208 x 10^16 m
Can you have curly hair even though your hair is short and soft? (Women)
5. Calculate the volume of a cube with the following measurements.
Length= 5 cm
Height = 10 cm
Width = 16 cm
O 31 cubic cm
50 cubic cm
O 800 cubic cm
O400 cubic cm
Which form of energy is converted to electrical energy in a voltaic cell?.
Answer:
chemical energy is converted to electrical energy in a voltaic cell.
Calculate the velocity of an object.
moved around a circle with a radius of
1.65m and an acceleration of 3.5 rad /s²
Answer:
5.775 m/s
Explanation:
radial acceleration = velocity / radius
=> velocity = radial acceleration * radius
=> v = 3.5 * 1.65 = 5.775 (m/s)
The law of conservation of momentum states that, if left alone, what happens to the total momentum of two interacting objects that make up a system?
Answer:
The momentum of the colliding bodies before and after the collision remains constant.
Explanation:
The momentum is constant.
Estimate how long a 2500 W electric kettle would take to boil away 1.5 Kg of water . The specific latent heat of vaporization of water is 4000000 J / Kg .
The time it would take a 2500 W electric kettle to boil away 1.5 Kg of water is 2400 seconds
How to calculate the timeUse the formula:
Power × time = mass × specific heat
Given mass = 1. 5kg
Specific latent heat of vaporization = 4000000 J/ Kg
Power = 2500 W
Substitute the values into the formula
Power × time = mass × specific heat
2500 × time = 1. 5 × 4000000
Make 'time' the subject
time = 1. 5 × 4000000 ÷ 2500 = 6000000 ÷ 2500 = 2400 seconds
Therefore, the time it would take a 2500 W electric kettle to boil away 1.5 Kg of water is 2400 seconds.
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-1 A 4m long wire of cross-sectional area 2.5 X 10 m² has a resistance of 5. The conductivity of the wire is (a) 2.5 X 10' m (b) 4.0 X 10' m (c) 2.5 X 10'' m¹ -1 -1 (d) 4.0 X 10''m'
Answer:
3.2 [tex]10^{-2} ohm^{-1} m^{-1}[/tex]
Explanation:
Resistance=5 ohm
Length=4m
Cross sectional area=2.5 x 10
Conductivity = 1/ resistivity
=[tex]\frac{length}{resistance x cross sectional area}[/tex]
Conductivity=4 /5 x 2.5 x 10
Conductivity=4/125
Conductivity=3.2x[tex]10^{-2}[/tex][tex]ohm^{-1} m^{-1}[/tex]
What would happen if the atmosphere consisted of pure oxygen.
Answer:
Then our fires would become massive.
Explanation:
Hope this helps
How fast would you (70kg) need to run in order to have the same momentum as a car (750kg) driving at 5 km/hr?
From the calculations and the data provided, the speed is obtained as 15 m/s
What is momentum?The term momentum refers to the product of mass and velocity. Given that we can now proceed with the answer.
Since;
p = mv
m = 750kg
v = 5 km/hr or 1.4 m/s
p = 750kg * 1.4 m/s
p = 1050 kgm/s
If the mass of the body is 70kg, the speed is
v = p/m
v = 1050 kgm/s/70 Kg
= 15 m/s
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Gravitation always does negative work. question 48 options: true false
The statement indicating that 'Gravitation always does negative work' is FALSE.
What is Gravitation?Gravitation is a fundamental physical force that makes objects attract each other in the Universe.
This force (Gravitation) is required to maintain both constant positions and movement of objects.
In conclusion, the statement indicating that 'Gravitation always does negative work' is FALSE.
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Answer:false
Explanation:
label the diagram Please
The earth tilt about 23 degrees which leads to the formation of seasons on earth.
At what degree the earth tilt?This is tilted at 23 degrees from the vertical. The northern hemisphere is in the winter season.
This is the path as the earth revolves around the sun. It takes 1 year to complete this path.
This is the path as the earth rotates around its.
So we can conclude that the earth tilt about 23 degrees which leads to the formation of seasons on earth.
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A crane does exactly 1800 J of work to lift a steel beam from the ground. The beam is accidentally dropped and falls back to its starting position in 0.9 s. What is the mass of the beam
Answer:
Explanation:
1800x0.9=1620kg
Open the attached file. It shows 2 waves (a blue one and an orange one) that are moving through the same medium at the same time. Your challenge is to DRAW the RESULTANT wave and LABEL the areas of interference with CI, DI and/or points of TDI.
The diagram is labelled to DRAW the RESULTANT wave and LABEL the areas of interference with CI, DI and/or points of TDI.
What is refraction?When a light ray falls on the interface of two medium like air and water, then the portion of light is reflected and another portion of the light is refracted into the water medium. The angle of incidence is equal to the angle of reflection but the angle of incidence is larger then the angle of refraction.
Open the attached file. It shows 2 waves (a blue one and an orange one) that are moving through the same medium at the same time.
Thus, the diagram is labelled.
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Parallel light rays are refracted _______and_____ to a point called as focal point after passing through convex lens.
Which quantity is a vector quantity?
A.
displacement
B.
distance
C.
mass
D.
temperature
E.
volume
Answer:
Displacement...
Explanation:
Displacement is a vector quantity as it have both magnitude and direction...
[tex]...[/tex]
a. displacement is the correct answer
Displacement is a vector quantity
EXPLANATIONDisplacement is a vector quantity because it has both magnitude and direction.
A 5000kva 230/13. 8kv single phase power transformer has a resistance of 0. 38 ohms and reactance of 1. 9 ohms
The reactance of the circuit will be 5.233×10⁻⁴ ohm. Inductive reactance is the product of 2 times π frequency and the coil inductance.
What is reactance?
When alternating electricity passes through pure reactance, it causes a voltage drop that is 90 degrees out of phase with the current.
The letter “X” is used to represent reactance in mathematics, and it is measured in ohms.
The inductive reactance of a coil is calculated using the following formula:
Inductive reactance, or XL, is the product of 2 times p (pi), and the frequency of the ac current in hertz, and the coil inductance in henries.
XL= 2πfL
Where,
f {frequency)
L (Inductance)
The reactance of the circuit is found as;
[tex]\rm R_{new}=0.38[{(\frac{1}{60} )^2][/tex]
[tex]\rm R_{new}=1.055 \times 10^{-4} \ ohm[/tex]
The inductance of the circuit is;
[tex]\rm X_{new}=1.9(\frac{1}{60} )^2\\\\X_{new}= 5.233 \times 10^{-4}\ ohm[/tex]
Hence, the reactance of the circuit will be 5.233×10⁻⁴ ohm.
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A snail is traveling along a straight path. The snail’s velocity can be modeled by
The acceleration of the snail will be 7/13 m/sec². The acceleration is found as the rate of change of the velocity.
What is acceleration?The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.
The given data in the problem is;
v(t)=1.4ln(1’t²) inches per minute
0<t<15 minute
Acceleration is found as;
[tex]\rm v('t)=1.4 \times \frac{1}{1+t^2} (2t)[/tex]
Acceleration at t= 5 minute;
[tex]\rm v'(5)=\frac{1.4(2)(5)}{1+5^2} =\frac{14}{26} \\\\ v'=\frac{7}{13}[/tex]
Hence, the acceleration of the snail will be 7/13 inch per square minute.
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17. what does it mean if a personality
test is reliable?
a. a reliable test will give consistent
results over time.
b. a reliable test reveals forgotten
experiences.
c. a reliable test has strong personal
bias.
d. a reliable test accurately predicts?
your actions.
A Personality test is said to be reliable because (A). a reliable test will give consistent results over time.
Meaning of Personality testPersonality test can be defined as a test that can be used to verify or ascertain an individuals personality.
Personality test is a test that is carried out by different organizations to help to help them know the individuals in that organization and to help others know how to relate and work with them.
In conclusion, A Personality test is said to be reliable because a reliable test will give consistent results over time.
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Answer:
a.
Explanation:
An electromagnetic wave has a wavelength of 10 nm. Calculate its frequency and identify to which part of the electromagnetic spectrum the wave belongs.
The frequency of an electromagnetic wave with wavelength of 10nm will be 3 × 10∧7 Hz and would belong to the X-ray or ultraviolet part of the electromagnetic spectrum due to its wavelength
What is frequency?
Frequency is defined as the number of oscillations of a wave per unit time and is measured in hertz(Hz).
It is also inversely proportional to the wavelength.
How to calculate the frequency
The frequency of an electromagnetic wave can be calculated using the formula;
frequency = velocity of light divided by the wavelength
f = v ÷ λ
Note that the velocity of light = 3 × 10 ∧8 m/s
Wavelength = 10nm
Frequency, f = 3 × 10∧8 ÷ 10 = 3 × 10∧7 Hz
Hence, the frequency of an electromagnetic wave with wavelength of 10nm will be 3 × 10∧7 Hz and would belong to the X-ray or ultraviolet part of the electromagnetic spectrum due to its wavelength.
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Sian wants to measure the number of seconds that it takes for the contents of a beaker to change from clear to purple. which of these tools should she use for this purpose? an electronic balance a stopwatch a barometer a graduated cylinder
Sian wants to count the number of seconds it takes for a beaker's contents to become purple from clear. She should utilize a stopwatch as her instrument for this job.
What is a stopwatch?Watch that, when turned on and off, measures the amount of time that has passed since a specific time.
Sian wants to measure the number of seconds that it takes for the contents of a beaker to change from clear to purple. Stopwatch is the tool she should utilize for this purpose.
Hence, option B is correct.
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Answer: Sian wants to count the number of seconds it takes for a beaker's contents to become purple from clear. She should utilize a stopwatch as her instrument for this job.
option b
Explanation:
if line segment g f = 3.2 ft, which is a possible measure of line segment t s? 1.6 ft 3.0 ft 3.2 ft 4.0 ft\
By applying the relationship of side lengths to interior angles in a triangle, a possible measure of line segment TS is 4.0 ft.
The relationship of sides to interior angles in a triangle.In Geometry, the relationship of side lengths to interior angles in a triangle include the following:
The shortest side length is always opposite of the smallest interior angle.The longest side length is always opposite of the largest interior angle.Based on the above theory, we can logically deduce that angle GF < TS or TS > GF because 42° is greater than 56°.
TS > 3.2 ft.
Therefore, a possible measure of line segment TS is 4.0 ft.
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Complete Question:
In the triangles, TR = GE and SR = FE. If Line segment G F = 3.2 ft, which is a possible measure of Line segment TS? 1.6 ft 3.0 ft 3.2 ft 4.0 ft.
BRAINLIEST + 19 pts what does a capacitor do in a circuit?
A. it reduces current.
B. It increases voltage
C. It stores and releases charge.
D. it overcomes resistance
answer: c
explanation: it's job is to store and release charge
Answer:
C- It stores and releases charge