Answer:
v(t)=3t²+3, and a(t)=6t
v(0)=3cm/sec, and a(0)=0cm/sec²
v(1)=6cm/sec, and a(1)=6cm/sec²
Explanation:
Find velocity and acceleration functions ( v(t) and a(t) )
(Relevant background: Let's say f(t) is a function of y with respect to x. Think of the derivative of this function, f'(t) , as representing the rate at which y changes with respect to x)
s(t) is a function of distance with respect to time. Therefore, s'(t) - the derivative of this - represents the rate at which distance changes with time, which is just the definition of velocity. So we can say velocity v(t) = s'(t).
s(t)=t³+3t+3
s'(t)=v(t)=3t²+3
Similarly, if v(t) is a function of speed with respect to time, then v'(t) represents the rate at which speed changes with time, which is acceleration. So we can say that acceleration a(t)=v'(t)=s''(t)
v(t)=3t²+3
v'(t)=a(t)=6t
Find velocity and acceleration at t=0 and t=1
t=0
v(t)=3t²+3
v(0)=3(0²)+3
v(0)=3 cm/sec
a(t)=6t
a(0)=6(0)
a(0)=0 cm/sec²
t=1
v(t)=3t²+3
v(1)=3(1²)+3
v(1)=3+3
v(t)=6 cm/sec
a(t)=6t
a(1)=6(1)
a(1)=6 cm/sec²
The function s(t)=−t3+3t+3 gives the distance from a starting point at time t of a particle moving along a line.
v(t)=3t²+3, and a(t)=6t
v(0)=3cm/sec, and a(0)=0cm/sec²
v(1)=6cm/sec, and a(1)=6cm/sec²
What is velocity and acceleration functions ( v(t) and a(t)?Relevant background: Let's say f(t) is a function of y with respect to x. Think of the derivative of this function, f'(t) , as representing the rate at which y changes with respect to x.
s(t) is a function of distance with respect to time. Therefore, s'(t) - the derivative of this - represents the rate at which distance changes with time, which is just the definition of velocity. So we can say velocity v(t) = s'(t).
s(t)=t³+3t+3
s'(t)=v(t)=3t²+3
Similarly, if v(t) is a function of speed with respect to time, then v'(t) represents the rate at which speed changes with time, which is acceleration. So we can say that acceleration a(t)=v'(t)=s''(t)
v(t)=3t²+3
v'(t)=a(t)=6t
Find velocity and acceleration at t=0 and t=1
t=0
v(t)=3t²+3
v(0)=3(0²)+3
v(0)=3 cm/sec
a(t)=6t
a(0)=6(0)
a(0)=0 cm/sec²
t=1
v(t)=3t²+3
v(1)=3(1²)+3
v(1)=3+3
v(t)=6 cm/sec
a(t)=6t
a(1)=6(1)
a(1)=6 cm/sec²
Therefore, The function s(t)=−t3+3t+3 gives the distance from a starting point at time t of a particle moving along a line.
v(t)=3t²+3, and a(t)=6t
v(0)=3cm/sec, and a(0)=0cm/sec²
v(1)=6cm/sec, and a(1)=6cm/sec²
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help me besties PLEASE ;-;
Answer:
Current in resistors = 1.5 amp
Current in resistors = 0.18 amp
P = 93.75 watts
Explanation:
Given:
1. Three 5 ohm resistor(series)
Voltage = 10 volt
2. Three 5 ohm resistor(parallel)
Voltage = 9 volt
3. Three 5 ohm resistor(series)
Voltage = 6 volt
Find:
Current in resistors
Current in resistors
Total power of circuit
Computation:
1. Total resistor (Series) R = R1 + R2 + R3
Total resistor (Series) R = 5 + 5 + 5
Total resistor (Series) R = 15 ohm
I = V/R
Current in resistors = (15)/(10)
Current in resistors = 1.5 amp
2. Total resistor (Series) R = 1/[1/R1 + 1/R2 + 1/R3
Total resistor (Series) R = 1[1/5 + 1/5 + 1/5]
Total resistor (Series) R = 1.67 ohm
I = V/R
Current in resistors = (1.67)/(9)
Current in resistors = 0.18 amp
3. Total resistor (Series) R = R1 + R2 + R3
Total resistor (Series) R = 5 + 5 + 5
Total resistor (Series) R = 15 ohm
I = V/R
I = (15)/(6)
I = 2.5 amp
P = I²(R)
P = (2.5)²(15)
P = 93.75 watts
7. The work done in picking the same chair up 1 meter would be about
A. 4J
B. 40J
C. OJ
D. 400J
Bob and Sally sit on a 4 m long see-saw that has its fulcrum smack in the center of the board. If 50 kg Sally is sitting at one end of the plank, where should 70 kg Bob sit on the other side relative to the fulcrum so the net Torque is zero?
Answer:
1.43m
Explanation:
Given data
m1= 50kg
m2=70kg
We are told that Sally m1= 50 sat at one end which is 2m from the center
Hence, the summation of clockwise moment = summation of anticlockwise moment
See the attached image for your reference
50*2= 70*x
100= 70x
x= 100/70
x=1.43m
Hence the mass m2 will be at the 1.43m mark for the net torque to be zero
Can someone help me here
Answer:
1. grass Can survive by itself because it is not dependent on food, it is self-sustaining. and since grass it's not dependent on food it is a producer.
2. and 3. they would all decrease, since the prairie dogs are herbivores they eat basically plants such as grass and if half of the grass is gone then they would have less to eat and therefore decrease.
since ferrets eat prairie dogs, if the prairie dogs population decreases the ferrets would have less to eat and therefore decrease as well.
one of the predators of ferrets are foxes and if the ferrets decrease then the fox would also decrease since it will have less to eat.
4. if we would continue advancing years soon the ferret, prairie dogs and foxes would be no more because if there is less grass they would keep on decreasing over the years until they would be extinct.
In the playground game of tetherball, a ball tied to a rope circles a pole, wrapping the rope around the pole is it goes. Opponents compete to wrap the ball around the pole in one direction or the other; the game ends when the rope is entirely wrapped around the pole and the ball touches the pole. If you get the ball going around in one direction, as the rope shortens and the ball goes in smaller and smaller circles, the ball goes around with a shorter and shorter period.
Required:
Explain why this happens.
As the rope becomes shorter, the length of the rope is decreased and the centripetal force decreases according causing the ball to move in smaller circles.
What is centripetal force?The centripetal force is defined as the force that keeps an object moving in a circular path. Also, the centripetal force is equal to the tension in the rope and the tension in the rope depends on the length of the rope.
As the rope shortens, the tension in the rope decreases and the centripetal force on the ball decreases hence the ball moves in smaller and smaller circles, the ball goes around with a shorter and shorter period.
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2. David Wechsler took the results of IQ tests and plotted them on a bell curve. What BEST demonstrates what Wechsler learned by plotting the results on the Bell Curve?
Most scores were above average.
Most scores were below average..
O
Most scores fell in the middle of the curve with fewer outside the curve.
There was a large difference between the scores of women and men.
Answer:
One thing that is demonstrated by plotting the results of IQ tests on a bell curve is that most scores fall in the middle of the curve, with fewer scores outside the curve. This reflects the fact that IQ scores are typically distributed in a normal or bell-shaped curve, with most scores falling around the average, and fewer scores falling at the very high or very low ends of the distribution. The bell curve is a useful tool for visualizing the distribution of IQ scores, and it can help researchers and psychologists understand the typical range of scores and identify any unusual patterns or outliers. It is not accurate to say that most scores are above average or below average, or that there is a large difference between the scores of women and men. These statements do not accurately reflect the findings of IQ tests or the use of the bell curve to analyze their results.
A 69.5-kg person throws a 0.0475-kg snowball forward with a ground speed of 31.5 m/s. A second person, with a mass of 57.5 kg, catches the snowball. Both people are on skates. The first person is initially moving forward with a speed of 2.35 m/s, and the second person is initially at rest. What are the velocities of the two people after the snowball is exchanged
Answer:
- After throwing the snow, velocity of the thrower is 2.33 m/s
- the velocity of the receiver is 0.026 m/s
Explanation:
Given the data in the question;
Using conservation of momentum,
Initial thrower has a momentum of mv; [tex]m_{total[/tex]v
(69.5 kg + 0.0475 kg) × 2.35 m/s = 163.4366 kg.m/s
Now, When he throws it at 31.5 m/s, these constitutes a momentum of;
(0.0475 kg )(31.5 m/s) = 1.49625 kg.m/s
hence his momentum now is: 163.4366 - 1.49625 = 161.94035 kg.m/s
To get his velocity, we say;
161.94035 = mv
{ he lost weight of the snow ball so, m = 69.5 kg )
161.94035 = 69.5 × v
v = 161.94035 / 69.5
v = 2.33 m/s
Therefore, After throwing the snow, velocity of the thrower is 2.33 m/s
Next is the Receiver;
the receiver will gain momentum of 1.49625 kg.m/s
he has no momentum initially and after he catches the snow ball;
1.49625 kg.m/s = mv
1.49625 kg.m/s = ( 57.5 kg + 0.0475 kg ) × v
1.49625 kg.m/s = 57.5475 kg × v
v = ( 1.49625 kg.m/s ) / 57.5475 kg
v = 0.026 m/s
Therefore, the velocity of the receiver is 0.026 m/s
n unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, −4.0 m, 3.0 m) if that torque is due to (a) force F1 with components F1x = 2.0 N, F1y = F1z = 0, and (b) force F2 with components F2x = 0, F2y = 2.0 N, F2z = 4.0 N?
n unit vector notation, -22j is the torque about the origin on a particle located at coordinate (o, -4.0m, 3.0m)
Torque is defined as the force that can cause an object to rotate along an axis is measured as torque. Estimate the angle between the vector connecting the force's application point and the pivot point and the direction of the applied force. You may calculate the torque by multiplying r by F and sin.
T=R (distance) x F (Force)
R=-4j+3k
F=2J
Hence, t= R x F vector product
=(-4j+3k)x2j
=-4x2x(y x J)
=+3x2y(k x r)
=-8x(-k)+6j
=(6j+8k) nm
b) F^2=2J+4K
Hence, t=r x f^2
=(-4j+3k)x(2j+4k)
=0-16( J x k)+6(K x J)+0
=-16j-6j
=-22j
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Which one of the statements below is true about mechanical waves?
They must travel in empty space.
They can travel in a vacuum.
Both sound and light are examples of mechanical waves.
They require a medium to travel through.
Answer:
The answer is B
Explanation:
the image below shows how the temperature of 10 g of ice changes as energy is added. which statement is correct?
The correct statement is the water absorbed energy continuously, but the temperature increased only when all of the water was in one phase.
this is explained by the latent heat of fusion. The melting point of ice ( at which ice melts into water) is 0 degree Celcius. This temperature remains constant till all 10 g of ice melts completely and water comes in the same phase of liquid.
The latent heat of fusion, also known as enthalpy of fusion, is defined as the total amount of heat energy supplied to a solid substance to start a change in its physical state from a solid to a liquid state. Given the pressure of the environment is constant.
The correct option is (b).
The given question is incomplete, the complete question is
The image below shows how the temperature of 10 g of ice changes as energy is added. which statement is correct?
(a) The water absorbed energy continuously and temperature increases while water is changing phase.
(b) The water absorbed energy , but the temperature increased only when all of the water was in one phase.
(c) Temperature of the water remained constant.
(d) Temperature always increases.
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If a wavelength of a wave increases, but the wave speed remained the same, would the frequency increase, decrease or stay the same?
If a wavelength of a wave increases, but the wave speed remained the same, the frequency will decrease (option B).
What is wavelength?Wavelength is the length of a single cycle of a wave, as measured by the distance between one peak or trough of a wave and the next.
The wavelength is often designated in physics as λ, and corresponds to the velocity of the wave divided by its frequency as follows:
λ = v/f
According to the above equation, the wavelength is inversely proportional to the frequency of the wave, hence, as one increases, the other decreases and vice versa.
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what happens when the north pole of one bar magnet is near the north pole of another bar magnet?
Answer:
C
Explanation:
magnet poles with the same polarization reject each other.
Answer:
the answer c because they will push away from each other
A rocket weighs 1.000. N on the surface of Earth. What is its weight at a distance of two Earth radii above the
surface of Earth?
P.5B
0 111.0 N
250.0 N
333.0 N
5000 N
Answer:
0 111.0N be cause the rest do not add up
A train whistle produces a sound at a frequency of 600 Hz. If the train is moving toward a stationary observer at a constant speed, which of the following may be the frequency of the whistle as detected by the observer?
a shiny object reflects light. will a shiny object make a shadow when light shine on it? explain your answer
Answer:
yes I think it is possible
You want to investigate the bird
and his swing and how they relate to Newton's laws of
motion. List at least two questions you might ask
Answer: Is the bird balanced or unbalanced on the swing?
What kind of motion is acted on the swing by the bird?
A car starting from rest moves with constant acceleration of 2.0 m/s2 for 10 s, then travels with
constant speed lor another 10 s, and then finally slows to a slop will conslanl acceleration of
-2.0 m/s2. How far does it travel?
Answer:
Secondary SchoolPhysics 5+3 ptsA body starts from rest and moves with a uniform acceleration.
S
In a game of pool, the cue ball rolls toward the stationary eight ball with a velocity of 1.35,
and they collide. The mass of the cue ball is 170 grams, and the mass of the eight ball is
156 grams. The velocity of the cue ball immediately after the collision is 0.060
What is the velocity of the eight ball immediately after the collision?
Your answer should have three significant figures.
m
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9:0
The velocity of the eight ball immediately after the collision is 1.41 m/s.
What is the final velocity of the eight ball after the collision?
The final velocity of the eight ball after the collision is calculated by applying the principle of conservation of linear momentum;
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
where;
m₁ is the mass of the cue ballu₁ is the initial velocity of the cue ballm₂ is the mass of the eight ballu₂ is the initial velocity of the eight ballv₁ is the final velocity of the cue ballv₂ is the final velocity of the eight ball(0.17)(1.35) + (0.156)(0) = (0.17)(0.06) + (0.156v₂)
0.2295 = 0.0102 + 0.156v₂
0.156v₂ = 0.2193
v₂ = 1.41 m/s
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Two satellites are monitored as they orbit the Earth; satellite X is eight (8) times as far from the Earth's center as is satellite Y. Using Kepler's 3rd Law, by what factor is the the period (or revolution) of satellite X that of satellite Y
Answer:
[tex]\frac{T_x}{T_y} = 22.63[/tex]
Explanation:
Kepler's third law is an application of Newton's second law for circular motion
T² = K a³
let's apply this expression for each satellite
satellite X
Tₓ² = K aₓ³
satellite Y
[tex]T_y^2 = K a_y^3[/tex]
the relation of the periods is
[tex]\frac{T_x}{T_y} = \sqrt{ (\frac{a_x}{a_y} )^3 }[/tex]
they indicate us
aₓ = 8 a_y
substitutes
[tex]\frac{T_x}{T_y} = 8^{3/2}[/tex]
[tex]\frac{T_x}{T_y} = 22.63[/tex]
(i) When an image of an object is formed by a converging lens, which of the following statements is always true? More than one statement may be correct. (Select all that apply.) The image is virtual. The image is real. The image is upright. The image is inverted.None of those statements is always true.
An item put in front of a diverging lens will always seem virtual and upright. Knowing the characteristics of the image created by a converging and diverging lens is necessary to choose the best option out of all the possible choices.
What is a lens used for?A lens is a transparent material, such as a piece of glass, that is used to concentrate light from an object to create a picture of it.
What exactly is a lens defined as?A transparent piece of material with two opposite regular surfaces that are either both curved or one is curved and the other is plane, and that are used individually or together in an optical instrument to focus light to create an image.
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A 75 kg man falls off his ladder and hangs motionless from the ceiling by a cord. Determine the net force on the man and Find the tension in the cord. (don't forget units)
PLEASE HELP MEEEEEEE PLEASE
Answer:
Explanation:
The net force on the man is the sum of all the forces acting on him. In this case, the only force acting on the man is the force of gravity, which is given by:
F = m*g
= 75 kg * 9.8 m/s^2
= 735 N
where m is the mass of the man, g is the acceleration due to gravity, and F is the force of gravity.
Since the man is motionless, the net force on him must be zero. Therefore, the tension in the cord must be equal and opposite to the force of gravity:
T = -F
= -735 N
The tension in the cord is therefore T = -735 N. The negative sign indicates that the tension is directed downward, opposite to the direction of the force of gravity.
Net Force on Man = 735 N (downward)
Tension in Cord = 735 N (upward)
Explanation: The net force on the man is equal to his weight (75 kg x 9.81 m/s2 = 735.75 N).
This force is directed downward. To keep the man in equilibrium, the tension in the cord must be equal in magnitude, but opposite in direction, so the tension is also 735.75 N, but directed upward.
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PLEASE HELP ME WITH THIS ONE QUESTION
A piston has a volume change of 7 x 10^-6 m^3. Assuming atmospheric pressure is 101,325 J, what is the work needed to change the piston volume?
Correct question:
A piston has a volume change of 7 x 10^-6 m^3. Assuming atmospheric pressure is 101,325 Pa, what is the work needed to change the piston volume?
Answer:
The work needed to change the piston volume is 0.709 J
Explanation:
Given;
volume of the piston, V = 7 x 10⁻⁶ m³
atmospheric pressure, P = 101,325 Pa
The work needed to change the piston volume is calculated as follows;
W = PV
W = (7 x 10⁻⁶ m³) x (101,325 Pa)
W = 0.709 J
Therefore, the work needed to change the piston volume is 0.709 J
A car crashes into a wall with an impulse of 40,000 kg.m/s. The collision took 2 seconds. How much force did the wall exert?
Answer:
i hate physics lol but its 20,000N
Explanation:
One of the advantages of alternating current (ac) over direct current (dc) is the ease with which voltage levels can be increased or decreased.
a. True
b. False
Answer:
True
Explanation:
In an alternating current, voltage levels can be easily increased or decreased as per the requirements of the energy distribution in practical world.
Hence, the given statement is true
35 POINTSS!!! PLSSSS HELLPPP!!!
Work is the transfer of power from one object to another.
Please select the best answer from the choices provided
T
F
Answer:
T
beacuse:
Energy can be transferred from one object to another by doing work. ... When work is done, energy is transferred from the agent to the object, which results in a change in the object's motion (more specifically, a change in the object's kinetic energy).
The flux through a loop of wire changes at a uniform rate from 4x10-'Wb to 5x10-5 Wb in 0.10 s. Determine the emf induced in the coil 5.0 x 10 V 4.0x10v O 1.0 x 10-4 v O 6,0 x 10-57 A 0.50
In 0.10 s, total flux through such a wiring loop increases uniformly from 4x10-'Wb through 5x10-5 Wb. The coil experiences an induced emf of 1*10⁻⁴ v.
What are the SI unit and flux?A distribution of something like the electromagnetic field or the velocity at which the electric field moves throughout a specific area can both be measured as electric flux. The Greek letter e is used to represent electric flow. Electric flux is measured in SI units as or Nm 2 C – 1.
What is the same as flux?E is the amplitude of the electrostatic potential (with units of V/m), and if the magnetic charge is constant, the electric flux (E) travelling through a material of vector area S equals: E = ES = EScos.
Briefing:change in magnetic flux d∅ = (5*10⁻⁵ - 4*10⁻⁵) wb
d∅ = 1*10⁻⁵wb
time = 0.10 sec.
induce emf, e = -d∅/ dt
[e] = d∅/ dt
[e] = 1*10⁻⁵ / 0.10 v
[e] = 1*10⁻⁴ v.
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Thomson observed that cathode beams can pass undeflected through crossed electric and magnetic fields. Which of the following quantities must then be common to the particles making up these beams? A. Mass B. Size C. Magnitude of charge D. Sign of charge E. Sign and magnitude of charge F. Velocity
Answer:
e must have the charge of the particle
Explanation:
In this experiment, the particles that the cathode rays are found where from an electric field and another magnetic field, for the particle to pass without deviating the magnetic force must have the same modulus of the entricar force, and be in the opposite direction.
the expression for the magnetic force is
F_m = q v xB
the expression for the electric force is
F_e = q E
when warning the check two formulas we must have the charge of the particle
xvii. Heat travels from one end of an iron rod to the other end by
A Convection
B Radiation
C Conduction
D Vibration
xix. Which one of the following statements about heat transfer is incorrect?
A Convection can take place in a vacuum.
B Convection can take place in a liquid.
C A convection current can be present in gas.
D Sun heats up the earth by convection.
xx. When matters changes state, its temperature:
A Increases
B Decreases
C Changes to the temperature of surrounding.
D Remains same.
Heat travels from one end of an iron rod to the other end by conduction. The correct option is C.
The incorrect statement about heat transfer is convection can take place in a vacuum. The correct option is C.
When matter changes state, its temperature remains the same. The correct option is D.
What is heat transfer?Heat transfer is the process by which heat energy is transferred from one point t another.
Heat energy is always transferred from hotter to colder bodies.
The processes of heat transfer include:
conduction - heat transfer without actual movement of moleculesconvection - heat trasfer 5hat involves molecular movementradiation - heat transfer without a material medium or through space.Transfer of heat results in an increase in temperature as well as a change of state.
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1+1=69 how is it possible
Answer:
you add 67 to 1+1 is this clear also chicken nuggets
Answer:
i dont know
Explanation:
4. Juanita has taken two IQ test in her life. When she was 30 she scored 130 on her first IQ test. She then took another test when she turned 40. What is MOST likely to be true of Juanita's score on the second test
The score on the second test should be higher as 10 improves with age
The score on the second test should be close to 130 as IQ is a steady measurement
The score on the second test should be lower as IQ peaks at age 35 and then decreases
The score on the second test should be 10 points lower due to Juanita's mental age.
Answer:
It is most likely that the score on the second test should be close to 130 as IQ is a steady measurement. Intelligence quotient (IQ) is a measure of a person's cognitive ability and is typically considered to be a stable trait that does not change significantly over time. While some research has suggested that certain aspects of cognitive ability may improve with age, the overall IQ score is generally considered to be a consistent measure of cognitive ability. Therefore, it is unlikely that Juanita's score on the second test would be significantly different from her score on the first test.
Sorry if I answered it late :D