[tex]\bull\sf Torque=\tau=20.0\times 10^{-9}Nm[/tex]
[tex]\bull\sf \theta=30°[/tex]
[tex]\bull\sf E=9.0\times C.m=9.0\times 10^{-12}N/C[/tex]
Now we know
[tex]\\ \sf\longmapsto \tau=pEsin\theta[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{\tau}{Esin\theta}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{20\times 10^{-9}}{9\times 10^{-12}\times sin30}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{20\times 10^{-9}}{9\times 10^{-12}\times \dfrac{1}{2}}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{20\times 10^{-9}}{9\times 10^{-12}}\times 2[/tex]
[tex]\\ \sf\longmapsto p=4.4\times 10^3N/C[/tex]
The magnitude of the externla electric field is 4,444.44 N/C.
The magnitude of the charge is 3.1 x 10⁻¹² C.
Magnitude of the external electric fieldThe magnitude of the externla electric field is calculated as follows;
EPsinθ = τ
where;
E is the external electric fieldP is dipole momentτ is torque[tex]E = \frac{\tau}{P sin(\theta)} \\\\E = \frac{20 \times 10^{-9}}{9\times 10^{-12} \times sin(30)} \\\\E = 4,444.44 \ N/C[/tex]
Magnitude of the chargeThe magnitude of the charge is calculated as follows;
[tex]E = \frac{kQ}{r^2} \\\\Q = \frac{Er^2}{k} \\\\Q = \frac{(4,444.44) \times (2.5 \times 10^{-3})^2}{(9\times 10^9)} \\\\Q = 3.1 \times 10^{-12} \ C[/tex]
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A shopper is pushing a cart down a grocery store aisle. Starting from rest, the shopper applies a constant force to the cart for 4.0 s. From t = 4s until t = 4 s until t = 8 s, the shopper applies just enough force to balance the friction on the cart. Finally, the shopper applies a constant force to slow the cart until it comes to rest att = 12 s. The resulting position-time graph is shown below. What is the average acceleration of the shopping cart during its 12s motion?
A shopping cart that starts from rest, is accelerated for 4 s, moves at constant velocity for 4 s, and is decelerated for 4s until returning to rest, has an average acceleration of 0 m/s².
A shopper is pushing a cart down a grocery store aisle. The movement of the cart is:
It starts from rest.From t = 0 s to t = 4.0 s it is accelerated with a constant force.From t = 4 s to t = 8.0 s it receives just enough force to balance the friction on the cart.From t = 8 s to t = 12 s it is decelerated until it comes to rest.All in all, at the initial time (t = 0 s), the velocity is 0 m/s (rest) and at the final time (t = 12 s) the velocity is 0 m/s as well (rest). The average acceleration in that period is:
[tex]a = \frac{v_{12}-v__o}{t_{12}-t_0} = \frac{0m/m-0m/s}{12s-0s} = 0 m/s^{2}[/tex]
A shopping cart that starts from rest, is accelerated for 4 s, moves at constant velocity for 4 s, and is decelerated for 4s until returning to rest, has an average acceleration of 0 m/s².
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Answer:0 m/s2
Explanation: Cus i said so.
A student drops a rock from rest at a distance h above the ground such that the rock hits the ground at a time t0 . At what distance above the ground should the rock be dropped such that it hits the ground at a time 2t0 after it is released.?
The distance above the ground the rock should be raised in order to hits the ground double of initial time is 4h.
The given parameters;
initial velocity of the rock, u = 0height above the ground, = htime of motion of the rock from the height = t₀The time of motion of the rock from the given height is calculated as;
[tex]h = ut + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt_0^2\\\\h = \frac{1}{2} gt_0^2\\\\t_0^2 = \frac{2h}{g} \\\\t_0 = \sqrt{\frac{2h}{g} }[/tex]
When the time of motion is doubled to 2t₀, the height above the ground should be;
[tex]2(t_0) = 2(\sqrt{\frac{2h}{g} } )\\\\2(t_0) = \sqrt{\frac{4\times 2h}{g} }[/tex]
Thus, the distance above the ground the rock should be raised in order to hits the ground double of initial time is 4h.
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a squirrel is 5.0 m away from you while moving at a constant velocity of 3 m\s away from you, how far is the squirrel after 5 seconds?
Answer: distance travel after 5 seconds = 3×5 =15 m
so squirrel is away from me by distance of 15+ 5 = 20 m
Explanation:
Answer:
I believe 20 is the answer
How did kepler develop his second law of motion ?
A. He invented a telescope that was strong enough to view all plants of the solar system along their orbits
B. He compared data of planetary motion at different times along orbits
C. He made accurate measurements of the positions of all the planets over many years
D. He used a telescope to carefully follow and time the orbital motion of mars
He developed his second law of motion by using a telescope to carefully follow and time the orbital motion of mars .
What is a Telescope?This is a device which is used to form magnified images of distant objects. Kepler used it to observe the orbit motion of mars.
He discovered that planets do not move with constant speed along their orbits which led to his second law of motion.
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SI unit pf pressure is?
The SI unit for pressure is the pascal (Pa), equal to one newton per square metre (N/m2, or kg·m−1·s−2).
I’m stuck
Why do I have to run
Answer: Because
Running can significantly improve physical and mental health. As a form of aerobic exercise, running can reduce stress, improve heart health, and even help alleviate symptoms of depression. Some researchers think running may be so good for us because it's something we evolved to do. lol
Explanation:
Place the yellow, 25g ball at 60 cm on the ramp. How far did the box move? Measure from the left side of the box.
Answer: approximately 13-15 centimeters
25. Spider-Man Spider-Man holds the bottom of an elevator with one hand.
With his other hand, he holds a spider cord attached to a 50-kg box of
explosives at the bottom of the cord. Determine the force that the cord
exerts on the box if (a) the elevator is at rest; (b) the elevator accelerates up
at 2.0 m/s2; (c) the upward-moving elevator's speed decreases at a rate of
2.0 m/s2; and (d) the elevator falls freely.
Answer:
Explanation:
a) F = m(g + a) = 50(10 + 0.0) = 500 N
b) F = m(g + a) = 50(10 + 2.0) = 600 N
c) F = m(g + a) = 50(10 - 2.0) = 400 N
d) F = m(g + a) = 50(0.0 + 0.0) = 0.00 N
Which model represents a lot of conservation of mass?
Answer:
Only option 2 has the same number of oxygen and hydrogen atoms on each side of the arrow.
Explanation:
A toy car is released from rest at the top of a ramp. The car
speeds up as it moves down the ramp. When it reaches the
bottom of the ramp, the toy car rolls across the floor and
eventually stops.
Which two statements identify evidence that energy was conserved?
A. As the car rolls down the ramp, it speeds up because gravitational
potential energy is transformed into kinetic energy.
B. As the car rolls down the ramp, it speeds up because thermal
energy due to friction is transformed into kinetic energy.
m C. As the car rolls across the floor, it stops because its kinetic
energy is transformed into gravitational potential energy,
1 D. As the car rolls across the floor, it stops because its kinetic energy
is transformed into thermal energy due to friction
Answer:
A and DDD
Explanation:
The two statements identify evidence that energy was conserved are, as the car rolls down the ramp, it speeds up because gravitational
potential energy is transformed into kinetic energy and as the car rolls across the floor, it stops because its kinetic energy is transformed into thermal energy due to friction, therefore the correct answer is option C.
What is mechanical energy?Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.
As given in the problem statement a toy car is released from rest at the top of a ramp. The car speeds up as it moves down the ramp. When it reaches the bottom of the ramp, the toy car rolls across the floor and
eventually stops.
Thus, it speeds up because gravitational potential energy is transformed into kinetic energy and as the car rolls across the floor, it stops because its kinetic energy is transformed into thermal energy due to friction, therefore the correct answer is option C.
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A parkour runner is running on top of a building when he comes to the edge; the next building is 5
meters down and 8 meters over. How fast does he need to be running to make the jump?
Answer:
Explanation:
If we make a rather silly assumption that the runner does not leap upward somewhat as he leaves the edge of the first building, his initial vertical velocity is zero.
The time needed to drop 5 meters from vertical rest is
t = √(2s/g) = √(2(5)/9.8) = 1.01 s
so he needs a horizontal speed of at least
v = d/t = 8 / 1.01 = 7.91959...
v = 7.9 m/s. Better make it 8 m/s to be sure he clears the edge and lands on the roof.
a box is resting on the floor
Answer:
so what is the question ???
Answer:
huhhhhhhhhj hhhhhh
hhhhhhh
Why do bulbs in series circuit glow brightly than those in the parallel circuit?
In series, both bulbs have the same current flowing through them. The bulb with the higher resistance will have a greater voltage drop across it and therefore have a higher power dissipation and brightness. In parallel, both bulbs have the same voltage across them.
Give some practical examples where prefixes are used
The depth of a pond is 1.5m. Calculate the pressure caused by the water at the bottom of the pond ??
The pressure caused by water is: P = P0 + bgh = 1.013×10^5 + 10^3×9.81 × 1.5 = 1.18 atm
Where does the energy of a breaking wave originate?
Answer:
Waves are most commonly caused by wind. Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest.
Explanation:
What is displacement?
Displacement means when you move something from its original position. Let's say you want to sit on a chair. You move the chair from where it was originally placed. That's displacement.
what greenhouse gasses do for the atmosphere
Answer:
Explanation:
Earth's atmosphere contains greenhouse gases that trap heat. While they allow sunlight to pass through the atmosphere, they also prevent the heat it brings from leaving it.
how is the shape of an object related to Bernoulli principle
Answer:
Again, in accordance with Bernoulli's principle, the shape of the airflow facilitates the spread of laminar flow around it. The slower-moving currents beneath the airfoil exert greater pressure than the faster currents above it, giving lift to the aircraft.
Explanation:
A car accelerates from 10m/s to 50m/s over a distance of som. What is the
acceleration of the car?
Answer:
40m/s
Explanation:
50m/s - 10m/s = 40m/s
Help me pls I need to turn this in quick!!!!
Answer:
C. When the waves overlap, they will cancel eanch other out and disappear
Explanation:
hope its help heart brainliest thnks
Someone says, “The sun seems brighter because it is bigger than other stars.” What would you say?
Answer:The sun is not a particularly large star. It appears brighter because it is only 93 to 95 million miles away or about 8 light minutes. Whereas the next closest star is 4.5 light years away.
Explanation: does this need an explanation? no, exactly.
A skydiver dives from an airplane. The amount of air resistance she is met with is
measured at each second following her jump.
The terminal velocity of the skydiver is when the weight of the skydiver equals its air resistance therefore, the terminal velocity of the skydiver would occur at the 4th second. Therefore, option (D) is correct.
What is terminal velocity?Terminal velocity can be described as the maximum velocity acquire by an object as it falls through a fluid. It happens when the sum of the drag force and the buoyancy is equal to the downward gravity acting.
Since the net force on the object is equal to zero, the object has zero acceleration. The object would attain the terminal velocity and start to move with a steady velocity.
An object is moving with terminal velocity if its speed is constant because of the restraining force exerted by the air or fluid through which it is moving.
At the 4th second, the weight of the skydiver is 500 N and the air resistance is equal to 500N. Therefore, the air resistance will be equal to the skydiver's weight. At this point, the forces will be balanced and the terminal speed will be attained.
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Please help as quick as possible
Answer:
Explanation:
Left to right
40 knots
5 knots
calm
50 knots
15 knots
5) You are visiting Norway for the winter and driving on a highway where the speed
limit is 80 km/hr. Your car indicates that you are going at a speed of 55 mi/hr. Will
you be arrested? (1 mi = 1.6 km)
A 77 kg girl and a 62 kg boy face each other on friction free roller skates. The girl pushes the boy, who moves away at a speed of 2.5 m/s. What is the girl's speed?
Answer:
Explanation:
conservation of momentum
Initial momentum is zero
77v + 62(2.5) = 0
77v = -155
v = -155/77 = -2.0129870...
|v| = 2.0 m/s
Given the vectors A (-2, 3) and B(4,5) what is the sum of A +B?
The depth of a pond is 1.5m. Calculate the pressure caused by the water at the bottom of the pond.
[tex]\\ \sf\longmapsto Pressure=\dfrac{Force}{Area}[/tex]
[tex]\\ \sf\longmapsto Pressure=\dfrac{10}{2.25}[/tex]
[tex]\\ \sf\longmapsto Pressure=4.4Pa[/tex]
Answer:
Area=1.5(1.5)=2.25m^2
Force of gravity=10N
\begin{gathered}\\ \sf\longmapsto Pressure=\dfrac{Force}{Area}\end{gathered}
⟼Pressure=
Area
Force
\begin{gathered}\\ \sf\longmapsto Pressure=\dfrac{10}{2.25}\end{gathered}
⟼Pressure=
2.25
10
\begin{gathered}\\ \sf\longmapsto Pressure=4.4Pa\end{gathered}
⟼Pressure=4.4Pa
An elevator cable winds on a drum of radius 771 cm that is connected to a motor.
If the elevator moves down 8.60 m, how many revolutions has the drum made?
The relationship between the length of the circle and its radius allows to find the result for the revolutions turned when the distance decreases 8.60m is:
Angle = 17.8 rev
The length of a circle is given by the expression.
L = 2π r
Where L is the length of the circle and r is the radius of the circle.
They indicate the radius of the drum is r = 7.71 cm = 7.71 10⁻² m, let's find the length of the circle.
Lo = 2 π 7.71 10⁻²
Lo = 0.4844 m
Let's find the angle that the drum has rotated, using a direct proportional rule. If rotate an angle of 2π radians when you descend 0.4844 m, what angle you rotate when you descend 8.60 m.
#_ angles = [tex]8.6 m \ \frac{2\pi \ rev} { 0.4844 m}[/tex]
#_angle = 111.55 radians
Let's reduce to revolutions.
# _angles = 111.55 radians ( [tex]\frac{1 rev }{2\pi rad}[/tex] )
#_angulo = 17.8 rev
In conclusion, using the relationship between the length of the circle and its radius, we can find the result for the revolutions turned when the distance decreases is:
Angle = 17.8 rev
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Calculate the density of a marble at 16 g and has a volume of 8cm 3
Answer:
16g/8cm3 = 2g/cm3 or 2x106g/m3
Explanation:
Hope it helps
Please Give me Brainliest
Answer:
16g/8cm3 = 2g/cm3 or 2x106g/m3