Answer:
Explanation:
There is no picture!
Inserting the formulas you found for Xman(t) and Xbus(t) into the conditionXman(tcatch)=Xbus(tcatch) , you obtain the following-b+ct(catch) = 1/2 at^2( catch) or 1/2 at^2 (catch) - ct (catch) +b = 0Intuitively, the man will not catch the bus unless he is running fast enough. In mathematical terms, there is a constraint on the man's speed (c) so that the equation above gives a solution for t catch that is a real positive number.Find Cmin the minimum value of c for which the man will catch the busExpress the minimum value for the man's speed in terms of a and b .
Answer:
c > √(2ab)
Explanation:
In this exercise we are asked to find the condition for c in such a way that the results have been real
The given equation is
½ a t² - c t + b = 0
we can see that this is a quadratic equation whose solution is
t = [c ±√(c² - 4 (½ a) b)] / 2
for the results to be real, the square root must be real, so the radicand must be greater than zero
c² -2a b > 0
c > √(2ab)
Exit ticket: A lamp is plugged into a 110 Volt electrical outlet. There is a 9 Watt LED bulb in the lamp. a. What is
the current in the bulb? b. What is the resistance of the bulb?
Answer:
(a) 0.081 A (b) 1358.02 ohms
Explanation:
Voltage, V = 110 volt
Power of a LED bulb, P = 9 Watt
(a) Let the current is I. The formula for ower in terms of voltage and power is given by :
P = VI
[tex]I=\dfrac{P}{V}\\\\I=\dfrac{9}{110}\\\\=0.081\ A[/tex]
(b) Let R is the resistance of the bulb. Using Ohm's law as follows :
V = IR
[tex]R=\dfrac{V}{I}\\\\R=\dfrac{110}{0.081}\\\\=1358.02\ \Omega[/tex]
Hence, this is the required solution.
(a) The current in the bulb is 82mA
(b) The resistance of the bulb is 1340 Ω
Given information:
Supply voltage, V = 110V
The power rating of the bulb, P = 9 W
Electrical Power:(a) Current in the bulb:
The electrical power is given by:
P = VI
where V is the voltage, and I is the current
So, I = P/V
I = 9W / 110V = 0.082A
I = 82 mA
(b) Resistance of the bulb:
According to the Ohm's Law:
The relation between voltage (V), current (I), and resistance (R) is given by:
V = IR
110 = 0.082R
R = 1340 Ω
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A force of 70 N is inclined at an angle
of 30° to the horizontal. Calculate its
horizontal and vertical components
respectively.
Answer:
The horizontal component of the 70 N force = 35·√3 N
The vertical component of the 70 N force = 35 N
Explanation:
The magnitude of the given force, F = 70 N
The angle of inclination of the given force to the horizontal, θ = 30°
By the resolution of forces, we can resolve the given force, F, into its horizontal component, Fₓ, and vertical components, [tex]F_y[/tex], as follows;
The horizontal component of the given force = Fₓ = F × cos(θ)
Substituting the values, we have;
The horizontal component of the 70 N force, Fₓ = 70 × cos(30°) = 35·√3 N
The vertical component of the given force = [tex]F_y[/tex] = F × sin(θ)
Substituting the values, we have;
The vertical component of the 70 N force, [tex]F_y[/tex] = 70 × sin(30°) = 35 N.
A positive charge is 1 m to the left of a negative charge. The positive charge is then moved and placed 1 m to the right of the negative charge. What happens to the electrostatic force between the charges?
The electrostatic force remains attractive, and the magnitude does not change.
The electrostatic force remains repulsive, and the magnitude does not change.
The electrostatic force remains repulsive, but the magnitude changes.
The electrostatic force remains attractive, but the magnitude changes.
Answer:
Option (a) is correct.
Explanation:
Let the magnitude of the positive charge = [tex]q_1[/tex] and the magnitude of the negative charge = [tex]q_2[/tex]
Earlier, the distance between both the charge, d = 1m
By using Coulomb's law, the magnitude of the force between two charge
[tex]F=k\frac {q_1 q_2}{d^2}[/tex], where k is a constant.
So, the magnitude of the force in the initial configuration,
[tex]F_i = k\frac {q_1 q_2}{1^2}= k q_1q_2\cdots(i)[/tex]
The nature of the force is attractive, as both the charges are opposite in nature.
On replacing the positive charge from 1m left to 1 m right side of the negative charge, the distance between the charges remains the same, i.e d=1m.
Moreover, the magnitude, and nature of each charge, [tex]q_1[/tex] as well as [tex]q_2[/tex], are remain the same.
So, the magnitude of the force in the final configuration,
[tex]F_f = k\frac {q_1 q_2}{1^2}= k q_1q_2[/tex]
From equation (i), [tex]F_f=F_i[/tex]
The nature of the force is attractive, as both the charges are opposite in nature.
So, the electrostatic force remains attractive, and the magnitude does not change.
Hence, option (a) is correct.
When the electrostatic force lies between the charges so here the force should remain attractive, also the magnitude should remain the same.
Impact on the electrostatic force:Here we assume the magnitude of the positive charge should be q1 and the magnitude of the negative charge should be q2
Also, the distance between the charge should be d = 1 m
So here we use the columb law
F = kq1q2/d2
here k should be constant
Here the nature of the force should be attractive since the both the charges should be opposite.
Hence, the first option is correct.
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Need help solving this question.
Answer:
See the answers below.
Explanation:
to solve this problem we must make a free body diagram, with the forces acting on the metal rod.
i)
The center of gravity of the rod is concentrated in half the distance, that is, from the end of the bar to the center there is 40 [cm]. This can be seen in the attached free body diagram.
We have only two equilibrium equations, a summation of forces on the Y-axis equal to zero, and a summation of moments on any point equal to zero.
For the summation of forces we will take the forces upwards as positive and the negative forces downwards.
ΣF = 0
[tex]-15+T-W=0\\T-W=15[/tex]
Now we perform a sum of moments equal to zero around the point of attachment of the string with the metal bar. Let's take as a positive the moment of the force that rotates the metal bar counterclockwise.
ii) In the free body diagram we can see that the force acts at 18 [cm] of the string.
ΣM = 0
[tex](15*9) - (18*W) = 0\\135 = 18*W\\W = 7.5 [N][/tex]
1
Assertion (A): Potential energy of a body depends upon height of the body from the surface of earth.
Reason (R): Potential energy and height of the body from ground are directly proportional to each
other (h«<r)
a) Both A and R are true and R is the correct explanation of A
[ ]
b) Both A and R true and R is not the correct explanation of A
c) A is true but Ris false
d) A is false but R is true
beha
Answer:
a
Explanation:
it increases with increasing height
How is thermal energy transferred during conduction? Check all that apply.
Thermal energy is transferred between particles that are not touching each other.
Thermal energy is transferred between particles that are in direct contact with each other.
Thermal energy is transferred between objects of different temperatures.
Thermal energy is transferred between objects of the same temperature.
Thermal energy is transferred from slow-moving particles to fast-moving particles.
Thermal energy is transferred from fast-moving particles to slow-moving particles.
Answer:
Thermal energy is transferred between particles that are in direct contact with each other.Thermal energy is transferred between objects of different temperatures.Thermal energy is transferred from fast-moving particles to slow-moving particles.Explanation: Correct on Edg 2020/2021 for my school.
If object A has more mass than object B, what will object A need to accelerate at the same rate as object B?
Answer:
More force
Explanation:
Object A has more mass than object B
For object A to accelerate at the same rate as object B, it will need more force.
According to Newton's second law of motion "the net force on a body is the product of its mass and acceleration".
Net force = mass x acceleration
Now, if a body has more mass and needs to accelerate at the same rate as another one with a lower mass, the force on it must be increased.
can I get some help on this
Answer:
sound
Explanation:
but im not exactlly sure so sorry if its wrong.
Answer:
It's Surface wave
Explanation: It travels in a circular motion. The particles travel both parallel and perpendicular in the direction of the wave-
What is the approximate wavelength of a light whose first-order bright band forms a diffraction angle of 45.0° when it passes through a diffraction grating that has 500.0 lines per mm?
236 nm
353 nm
943 nm
1414 nm
Answer:
D) 1414 nm
Explanation:
This is correct on Edge.
Using the equation dsin(angle)=n(wavelength), we can solve for wavelength.
First we must convert the 500 lines per mm to nm. We do this by 1/500, giving you 0.002. Then move the decimal over six places to the right, resulting in 2000.
Then by plugging in the other values, we have 2000sin(45)=1(wavelength).
N is one because we are just solving for a first-order band.
So 2000sin(45)=wavelength
By using a calculator, we can see that the wavelength equals approximately 1414nm.
I hope this helped. If it did, I would really appreciate a Brainliest!!
Have a great day:)
Answer:
1414
Explanation:
took the test :)
State two effects of a force when applied on a body.
Answer:
A force acting on an object may cause the object to change shape, to start moving, to stop moving, to accelerate or decelerate. When two objects interact with each other they exert a force on each other, the forces are equal in size but opposite in direction.
Explanation:
Please mark me as the brainliest answer
5.
Assertion (A): Both stretched spring and compressed spring have potential energy
Reason (R): Work is done against the restoring force in each case.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R true and R is not the correct explanation of A
c) A is true but Ris false
d) A is false but R is true
Answer:
A. Both A and R are true and R is the correct explanation of A
What are the different forms of potential energy
Answer:
Gravitational potential energy.
Chemical energy.
Nuclear energy.
Elastic potential energy
Electrical potential energy
Hope this helps :)
How long does it take to travel a distance of 672km at a speed of 95km/h?
Answer:
7.07 hours
Explanation:
divide the distance by the speed
so in this case, divide 672 by 95
Would time travel ever be possible? If so how and through what extensive process would it might be possible.
Answer:
There are two ways we may, one day, be able to time travel forwards.
You may have heard of Cryogenics. This is when someone who’s died is frozen instead of being buried or cremated. The theory is they can be “woken up” in the future when we have the technology to bring them back to life. Or a machine or device could be developed so that some people age more slowly than others around them. This way they’d live longer and see a future beyond the average person’s life span.
Another very different way of travelling into the future is more like what you’d see in science fiction. This is might involve travelling in a rocket or spaceship at a very high speed, close to the speed of light. “We can’t establish equality with the speed of light but it is possible, in theory, to travel nearly as fast as the speed of light,” adds Dr Steane.
So imagine you’re in a spaceship travelling very fast away from the Earth and you stay in orbit for a year. You would age at the same rate as if you were still on the Earth, by a year, but when you returned, the earth may have aged hundreds of years. “This is way beyond the technology we have at the moment,” he says. “But... in theory, it is possible.”
Explanation:
Hope this helped!
Answer:
It is and is not possible and if it is there are many factors to it at many dire consequences that come if we somehow interact with the people from the past
A horizontal 52 Newton force is needed to slide a 50-kg box across a flat surface of a constant velocity of 3.5 m s what is the coefficient of kinetic friction between the box and the floor
Answer:
μk = 0.106
Explanation:
When the box is moving across the flat surface with a constant velocity, the force applied on it must be equal to the kinetic frictional force applied on the object:
F = μk*W = μk*mg
Where,
F = Force applied on box = 52 N
m = mass of box = 50 kg
g = 9.8 m/s²
μk = coefficient of kinetic friction between box and floor = ?
Therefore,
52 N = μk(50 kg)(9.8 m/s²)
μk = (52 N)/(490 N)
μk = 0.106
The coefficient of kinetic friction between the box and the floor will be 0.106.
What is kinetic friction?A force that acts among sliding parts is referred to as kinetic friction. A body moving on the surface is subjected to a force that opposes its progressive motion
The size of the force will be determined by the kinetic friction coefficient between the two materials.
The given data in the problem is;
μ is the coefficient of kinetic friction=?
m is the mass = 50 kg
g is the acceleration due to gravity= 9.81 m/s²
v is the speed =3.5 m/sec
Force(F)= 52 Newton
The formula for kinetic friction force is;
[tex]\rm F= \mu_k R \\\\ R=mg \\\\ F= \mu_k mg \\\\\ 52 = \mu_k \times 50 \times 9.81 \\\\ \mu_k = 0.106[/tex]
Hence,the coefficient of kinetic friction between the box and the floor will be 0.106.
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A 10 gram ball is rolling at 3 m/s. What is the energy the ball has?
Answer:
K = 0.045 J
Explanation:
It is given that,
Mass of a ball, m = 10 g = 0.01 kg
Speed of the ball, v = 3 m/s
To find,
The energy of the ball.
Solution,
Due to the motion of the ball, it will have kinetic energy. It can be given by the formula as follows :
[tex]K=\dfrac{1}{2}mv^2\\\\K=\dfrac{1}{2}\times 0.01\times 3^2\\\\K=0.045\ J[/tex]
So, the ball will have a kinetic energy of 0.045 J.
Think about the difference between thermal energy and temperature. How might the melting icicles gain energy without changing temperature.
Ok someone pls answer this BY TM.
The melting icicles gain energy without changing temperature because the kinetic energy of the individual particles increases but the average kinetic energy or the temperature does not.
What is the difference between thermal energy and temperature?Thermal energy is a measure of the total kinetic energy of the particles of a substance. Thermal energy transfer is i the form of heat. Thermal energy is measured in Joules.
Temperature on the other hand is a property of a substance that exists as a result of differences in the heat content. Temperature is measured in celsius or Kelvin.
Therefore, a substance may have increased heat content without a detectable temperature increase.
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what is theory of relativity and why this theory made??????
I will give brainlist no google ans I will check
..
Answer:
e=mc2 made to relate mass with energy . bcoz energy can neither b created nor b destroyed
Answer:
Leave it bro!!!.....
I have got members!!!
But if you want then come up from my id #LV89QRGCL
Two football players are attempting to tackle each other. If one football player has a mass of 100 kg and pushes with a force of 100N onto another football player whose mass is 80kg, how much force does the other player push back with?
Answer:
is it 20kg. Two opposing forces pushing onto each other
What is the net force (including direction and magnitude) acting on the object on the above left?
Answer:
Explanation:
the net force on the right left is 25 N and is directed upward
the net force on the left one is zero because 200N force act upward and 200N force act downward so both cancel each other and net force is zero
i hope this will help you
The net force on the right left is 25 N and is directed upward.
The net force on the left one is zero because 200 N force act upward and 200 N force act downward so both cancel each other and net force is zero.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
By looking at both figure we get idea of net force after calculation,
The net force on the right left is 25 N and is directed upward.
The net force on the left one is zero because 200 N force act upward and 200 N force act downward so both cancel each other and net force is zero.
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Usain Bolt ran 100 m in 9.58 s, reaching a final speed of 12.43 m/s. What was his acceleration?
Answer:
1.3m/s²
Explanation:
Given parameters:
Distance = 100m
Time taken = 9.58s
Final speed = 12.43m/s
Unknown:
Acceleration = ?
Solution:
Acceleration is the rate of change of velocity with time; to solve this problem, we apply one of the motion equation;
v = u + at
v is the final speed
u is the initial speed
a is the acceleration
t is the time
u = 0m/s
Insert the parameters and solve;
12.43 = 0 + a x 9.58
12.43 = 9.58a
a = [tex]\frac{12.43}{9.58}[/tex] = 1.3m/s²
Calculate the pressure exerted by the elephant (24000 Newtons) on the ground, assuming that
the total area of its feet is 0.8 m2.
Answer:
3000 PaExplanation:
The pressure exerted by the elephant can be found by using the formula
[tex]p = \frac{f}{a} \\ [/tex]
f is the force
a is the area
From the question we have
[tex]p = \frac{2400}{0.8} \\ [/tex]
We have the final answer as
3000 PaHope this helps you
A ball is dropped from a height of 50 meters above the ground. What is its velocity the moment it hits the ground?
Answer:
The distance is 45m. (s)
Acceleration is 9.8 m/s^2 (acceleration due to gravity). (a)
We have to find the time (t)
By the 3rd equation of motion,
s = ut + 1/2 at^2 (here u is the initial velocity of the ball)
Since the initial velocity was 0 m/s, the formula becomes s = 1/2 at^2.
(substituting the values in the formula)
45 = 1/2 x 9.8 x t^2
45 = 9.8/2 x t^2
45 = 4.9 x t^2 (9.8/2 = 4.9)
(divide 4.9 on both sides)
45/4.9 = 4.9 x t^2 / 4.9
9.1836 = t^2
3.030 = t
So it takes approximately 3 seconds for the ball to reach the surface of the earth (neglecting air resistance). You can try the same with 50 m .
The velocity of the ball the moment it hits the ground is equal to 31.3 m/s.
What is the equation of motion?Equation of motion has established a relation between the velocity of the body and acceleration of the body when the body is moving with uniform acceleration along a straight line. The distance traveled in a specific time has expressed a set of equations termed equations of motion.
The first equation of motion can be expressed as follows:
v = u + at
The second equation of motion can be expressed as follows:
S= ut + (1/2)at²
Where u is the initial velocity of a body, v is the final velocity, S is the distance, a is the acceleration and t is the time.
Given, the distance traveled by the ball, S = 50 m
and, the initial velocity of the ball, u = 0 as ball is at rest initially.
From the second equation of motion, find the value of 't':
50 = (0) t + (1/2)× (9.8) ×(t²)
t = 3.19 sec
Now from the first equation of motion, find the value of the final velocity of the ball:
v = (0) + (9.8) (3.19)
v = 31.3 m/s
Therefore, the ball hits the ground with a velocity of 31/3 m/s.
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can somone pls help me??!! i’m very stuck
Answer:
its the third one
Explanation:
A textbook is pushed across a desk. It experiences what type of force
Answer:
kinetic friction force
Explanation:
what is work?(theoretically)
Answer:
force×distance
Explanation:
work is the ability of an object to move a distance as a result of the force being applied
The property of an object at rest to remain at rest is known as??
Answer:
inertia
Explanation:
2. A 75 kg runner accelerates from 0.00 m/s to 10.0 m/s in 1.5 seconds.
a) What is the runner's acceleration?
b) How much Kinetic Energy does the runner have at 0.0m/s, 5.0m/s, 10.0 m/s?
c) graph his kinetic energy. Use velocity on the x-axis and KE on the y-axis
Given, Unknown: Equation, Substitute: Solution:
Find the tension in the two ropes that are holding the 2.9 kg object in place. Rope 1 makes an angle of 51.3° with respect to the vertical. Rope 2 is pulling horizontally.
Answer:
Explanation:
Let the tension in horizontal rope be T₁ and in the other rope be T₂ which is making angle of 51.3⁰
The vertical component of tension T₂ will balance the weight .
= T₂ cos 51.3 = 2.9 x 9.8
T₂ = 2.9 x 9.8 / cos 51.3
= 28.42 / .625
= 45.47 N
The horizontal component of T₂ will balance T₁
T₂ sin 51.3 = T₁
45.47 sin 51.3 = T₁
T₁ = 35.48 N .