Answer:
[tex]Direction= 119.74^\circ[/tex]
Explanation:
Displacement Vector
The displacement, as every vector, has a magnitude r and a direction angle θ measured from the positive x-axis.
If we know the x-y components of the displacement, the magnitude and angle can be calculated by the equations:
[tex]r=\sqrt{x^2+y^2}[/tex]
[tex]\displaystyle \tan\theta=\frac{y}{x}[/tex]
The coordinates of the given vector are x=-12 m, y=21 m, thus:
[tex]\displaystyle \tan\theta=\frac{21}{-12}=-1.75[/tex]
[tex]\theta=tan^{-1}(-1.75)=-60.26^\circ[/tex]
Since the vector lies in the second quadrant, we add 180° to find the correct direction:
[tex]\boxed{Direction=-60.26^\circ+180^\circ= 119.74^\circ}[/tex]
1) A police officer is sitting on the side of the road with his lights off. You fly by because you're in a rush to get to school on time doing 50mph in a school zone. The police officer is able to get his car started 2 seconds later and accelerate at 5.5m/s. How long will it take the police officer to catch your car (assume you don't slow down because you're very studious)?
Answer:
right away because you should never speed
A scientist is reserching the solar system how can the scientist best add to existing empirical evidence about the solar system?
Answer:
Empirical evidence are evidences obtained by direct observation, sensual perception or direct measurement. It is the processed and useful data gathered and stored in a material form or documented to provide record of the measurement.
With the aid of empirical evidence, it is possible for researchers to find answers to question regarding topics that can vastly impact every day life.
With empirical evidence, it is possible to determine the effects of treatment in a study such as the invention of working car safety devices such as seat belts and airbags.
Explanation:
A boy stands on a diving board and tosses a stone into a swimming pool. The stone is thrown from a height of m above the water surface with a velocity of m/s at an angle of above the horizontal. As the stone strikes the water surface, it immediately slows down to exactly half the speed it had when it struck the water and maintains that speed while in the water. After the stone enters the water, it moves in a straight line in the direction of the velocity it had when it struck the water. If the pool is m deep, how much time elapses between when the stone is thrown and when it strikes the bottom of the pool?
Complete Question
A boy stands on a diving board and tosses a stone into a swimming pool. The stone is thrown from a height of 2.50 m above the water surface with a velocity of 4.00 m/s at an angle of 60.0 degrees above the horizontal. As the stone strikes the water surface, it immediately slows down exactly half the speed it had when it struck the water and maintains that speed while in the water. After the stone enters the water, it moves in a straight line in the direction of the velocity it had when it struck the water. If the pool is 3.00 m deep, how much time elapses between the stone is thrown and when it strikes the bottom of the pool?
Answer:
The value is [tex]t_t = 1.9182 \ s[/tex]
Explanation:
From the question we are told that
The height of the throw is [tex]h = 2.50 \ m[/tex]
The velocity is [tex]v = 4.00 \ m/s[/tex]
The angle is [tex]\theta = 60.0^o[/tex]
The depth of the pool is [tex]d = 3.00 \ m[/tex]
Generally the velocity of the stone towards the horizontal direction is
[tex]v_h = v * cos (\theta)[/tex]
=> [tex]v_h = 4.00 * cos (60.0)[/tex]
=> [tex]v_h = 2 \ m/s [/tex]
Generally the velocity of the stone towards the vertical direction is
[tex]v_v = v * sin (\theta)[/tex]
=> [tex]v_v = 4.00 * sin (60.0)[/tex]
=> [tex]v_v = 3.46 \ m/s [/tex]
Generally from kinematic equation we have that
[tex]s = v_v t + \frac{1}{2} gt^2[/tex]
Here s = -h , the reason for the negative sign is because the distance traveled is towards the negative y-axis
t is the time taken by the stone to travel through air
So
[tex] -2.50= 3.46 t + \frac{1}{2} (-9.8)t^2[/tex]
Here g = -9.8 m/s^2 because the direction of movement is in the negative y axis
=> [tex] 4.9 t^2 -3.46t - 2.50[/tex]
Solving the above equation using quadratic formula we obtain t to be
t = 1.15 s
Generally from kinematic equation
[tex]v_j = v_v +gt[/tex]
Here
is the velocity of the stone just before it hits the water
=> [tex] v_j = 3.46 + -9.8(1.15)[/tex]
=> [tex] v_j = -7.81 m/s [/tex]
The negative sign just signify's the direction of the velocity
The magnitude is
[tex] |v_j| = 7.81 m/s [/tex]
Generally the speed of the stone in water is
[tex]v_w = \frac{|v_j|}{2}[/tex]
=> [tex]v_w = \frac{7.81 }{2}[/tex]
=> [tex]v_w = 3.905 \ m/s [/tex]
The time taken to travel through the water is
[tex]t_w = \frac{d}{v_w}[/tex]
=> [tex]t_w = \frac{3}{3.905}[/tex]
=> [tex]t_w = 0.7682 \ s [/tex]
Generally the total time taken is mathematically represented as
[tex]t_t = t + t_w[/tex]
=> [tex]t_t = 1.15 + 0.7682[/tex]
=> [tex]t_t = 1.9182 \ s[/tex]
The total time taken by the stone to reach the bottom of the pool is 1.92s
The motion of the stone to the bottom of the pool:
Given information:
height above the water surface from which the stone is thrown, h = 2.5m
the initial velocity of the stone, u = 4 m/s
the angle from the horizontal θ = 60°
The vertical velocity of the stone in given by:
u' = usin60
u' = 4sin60
u' = 3.46 m/s
(i) The time taken by the stone to reach the water surface:
From the second equation of motion we get:
h = ut + ¹/₂gt²
the stone is thrown up at an angle of 60°, so the vertical velocity is upwards, the final position of the stone is at the surface of the water, which is 2.5m downwards from the position it is thrown, also the acceleration due to gravity is downwards. So if we consider upwards as a positive direction and downwards as a negative direction, we get:
-2.5 = 3.46t - 0.5×9.8t²
-2.5 = 3.46t - 4.9t²
solving the above we get:
t = 1.15 s
The vertical speed of stone when it touches the surface of water;
v = u + gt
v = 3.46 - 9.8×1.15
v = -7.81 m/s
or, 7.81 m/s downwards
(ii) Motion of the stone to the bottom of the pool:
In this case, the motion is in a straight line, and the stone descends with constant speed which is half the speed of the stone when it touches the surface of the water, so:
u = -7.81/2
u = -3.9 m/s
The depth of the pool is d = -3m
so time taken:
t' = d/u = (-3)/(-3.9)
t' = 0.77 s
So the total time taken is:
T = t + t'
T = 1.15 + 0.77
T = 1.92 s
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The table represents the speed of a car in a northern direction over several seconds. Column 1 would be on the x-axis, and Column 2 would be on the y-axis. Which best lists the titles of each column?
Column 1 should be titled “Time,” and Column 2 should be titled “Velocity.”
Column 1 should be titled “Velocity,” and Column 2 should be titled “Time.”
Column 1 should be titled “Time,” and Column 2 should be titled “Acceleration.” Column 1 should be titled “Acceleration,” and Column 2 should be titled “Time.”
Answer:
the correct answer is A
Answer:
Column 1 should be titled “Time,” and Column 2 should be titled “Velocity.”
Explanation:
PLZZ ANSWER THE QUESTION
i need help quick i get progress reports tomorrow!!based on katrina's fitness profile identify which statement is true or false
Answer:
Explanation:t f t f t
True or False. If a desk is pushed at a
constant speed across a horizontal floor,
the force of friction must be equal in
magnitude and opposite in direction to
the pushing force on the desk.
True
False
Answer:
it's true
Explanation:
k now to me because I am not good at science
Train car A is at rest when it is hit by train car B. The two cars, which have the same mass, stick together and move off after the collision. How does the final velocity of train cars A and B after the collision compare to the initial velocity of train car B before the collision? The final velocity is double train car B’s initial velocity. The final velocity is the same as train car B’s initial velocity. The final velocity is half of train car B’s initial velocity. The final velocity is zero, since train car B will stop.
Answer:C The final velocity is half of trained car B's initial velocity.
Explanation:
Answer: C i just got it right on e d g e n u i t y :)
Explanation:
If a train going 60 m/s hits the brakes, and it takes the train 1 minute 30 seconds to stop, what is
the train's acceleration?
Explanation:
u=60
t=90s
a=
v=0
v=u+at
0=60+90a
90a=-60
a=-3/2
A train travels with a constant speed of 20.0m/s for 7.00s. Determine all
unknowns and answer the following question(s).
What is the magnitude of the train's acceleration?
Answer:
acceleration is zero m/s²
Explanation:
It is given that the train travels at constant speed (i.e speed does not change)
If speed does not change, then the train is neither accelerating or decelerating (i.e acceleration is zero)
Which statement is most likely correct?
A physical change occurred, so if Cash heats it, the white solid will dissolve to form the original mixture of clear liquids.
A physical change occurred, so even if Cash heats it, the white solid will remain.
A chemical change occurred, so if Cash heats it, the white solid will dissolve to form the original mixture of clear liquids.
A chemical change occurred, so even if Cash heats it, the white solid will remain.
Answer:
It is D my beautiful children <3
An object accelerates from rest with a constant acceleration of 7.5 m/s2. How fast will it
be traveling after it goes 12 m?
Answer:
13.4 m/s
Explanation:
Given:
Δx = 12 m
v₀ = 0 m/s
a = 7.5 m/s²
Find: v
v² = v₀² + 2aΔx
v² = (0 m/s)² + 2 (7.5 m/s²) (12 m)
v ≈ 13.4 m/s
Is acceleration directly proportional to mass, or is it inversely proportional to mass?
Will give brainliest
Answer:
The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object
Answer:
It’s actually A) Inversely
Explanation:
Four students are each pushing on one side of a box. Mara is pushing to the west, Cindi is pushing to the east, Chris is pushing to the north, and Sammy is pushing to the south. If the box moves to the east, which student does work on the box?
Answer:
cindi
Explanation:
cindi's work done is larger than all the other students combined
If different forces acting on a body from opposite directions, they cancel each other in magnitude. Thus, if any force make a displacement on an object, it said to be work done. Here, Cindi pushes the box to east and if the boxy move to east Cindi done work on the box.
What is work done?Work done in physics is the dot product of force and displacement. Thus when a force results in the displacement of an object the force is said to be work done on the box.
Force, is an external agent acting on a body to change the state of it from rest or motion. Not all force results in work done. But those which make a movement or displacement of an object it is said to be work done.
Here box experience a force exerted from all four directions. If it move to any one direction the force towards that direction will be greater in magnitude. Thus, if the box moves to east, Cindi does work on the box and the force applied by Cindi will be greater than all other force.
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Is there a serve zone?
(VOLLEYBALL)
True or False
HURRY SOMEONE ANSWER THE QUESTION
Answer:
When it comes to serving, the court is divided into six zones. Right back is zone one, right front is zone two, middle front is zone three, left front is zone four, left back is zone five and middle back is zone six.
Explanation:
Answer:
you already got the answer.
Explanation:
Which best describes what occurs when an object takes in a wave as the wave hits it? O transmission O absorption O reflection O refraction
Answer:
Hello there hope you are having a great day! Your answer would most likely be B. Absorption
Explanation:
Absorption is when a wave comes into contact with a medium and causes the medium's molecules to vibrate and move. This vibration absorbs or takes some of the energy away from the wave and less of the energy is reflected. I hope this helps have a blessed day!
When an object takes in a wave as the wave hits it, then absorption occurs. The correct option is B.
What happens when a wave strikes an object?When a wave strikes an object, it can interact with the object in a variety of ways depending on the properties of the wave and the object.
One possibility is that the wave will be reflected by the object, bouncing back in the opposite direction. The amount of reflection that occurs will depend on the angle of incidence, the angle at which the wave strikes the object, and the properties of the object's surface. For example, a smooth, flat surface will reflect more of the wave than a rough, irregular surface.
Another possibility is that the wave will be absorbed by the object, causing the object to vibrate or heat up. The amount of absorption that occurs will depend on the frequency and intensity of the wave, as well as the material properties of the object.
Finally, in some cases, the wave may pass through the object, either partially or completely. This will depend on the material properties of both the wave and the object, as well as the wavelength and intensity of the wave.
The specific outcome of a wave striking an object will depend on a number of factors, including the type of wave, the properties of the object, and the angle and intensity of the wave.
Here in this question,
Absorption occurs when the energy of the wave is transferred to the object, causing it to vibrate or heat up. The amount of absorption that occurs depends on the properties of the wave and the object. For example, a soft, spongy material will absorb more of the wave than a hard, rigid material.
Therefore, When an object takes in a wave as the wave hits it, the best description for what occurs is absorption.
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Atom A has an atomic number of 19 and a mass number of 40. Atom B has an atomic number of 20 and a mass number of 40. Which of these is an accurate statement?
A) Atom A has more protons than Atom B.
B) Atom A has one less proton and one more neutron than Atom B.
C) Atom A has an extra nucleon compared to Atom B.
D) Atom A has one more proton and one more electron than Atom B
Answer:
B
Explanation:
HELP PLEASE WITH PUTTING science DEFINITION IN THE RIGHT PLACE
1. dependant variable
2. graph
3. model
4. experiment
6. scientific law
9. hypothesis
11. independent variable
12. theory
14. volume
15. society
Which process is an example of a physical change?
burning
rusting
flattening
decomposing
Flattening is a example of a physical change.
Hope this helps! :D
A change in the gravitational force acting on an object will affect the object’s
A. Mass
B. Coefficient of static friction
C. Weight
D. Inertia
c. weight.
Explanation:
I had the exact same question
a change in gravitational force affects weight. The correct answer is: c. Weight
The gravitational force is given by the law of universal gravitation
F = [tex]G \frac{M m}{r^2}[/tex]
where F is the force, G the constant of universal attraction, M and m the mass of the two bodies, r the distance between the bodies
In the case that a body is lying on the surface of the planet, the distance is the radius of the planet, in this case the radius of the Earth
r = R_e
F = [tex]G \frac{M m}{R_e^2}[/tex]
For convenience we can define a new variable called acceleration of gravity (g)
g = [tex]G \frac{M}{R_e^2}[/tex]
we substitute
F = g m
This amount is called body weight, so a change in gravitational force creates a change in weight, therefore the correct answer is: C Weight
In conclusion a change in gravitational force affects weight, therefore the correct answer is: c. Weight
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A bus travels North for 10 miles then turns around and
travels 3.75 miles South. What is the displacement of the bus?
what happens when air filled balloon is left with its mouth downwards and allowed the air to escape
Answer:
As their is a high pressure inside the balloon, air would gush out of the ballon.
Due to Newton's Third Law of Motion, When this air exerts a force downwards , the surrounding medium would also exert an equal and opposite force on the ballon.. due to which it would fly upwards.
Explanation:
In the elements square on the periodic table, the number with the greatest numerical value the
Answer:
Osmium
Explanation:
Because Osmium has the highest numberic value
True or false speed velocity and acceleration cannot be measured directly
Answer:
false
Explanation:
A car is accelerated from 40 m/s to 48 m/s in 6.5 seconds. What is the magnitude of the car’s
average acceleration during this period?
Answer:
Explanation:
AVerage acceleration is the cjange in velocity with time
a = v-u/t
v is the final velocity = 48m/s
u is the initial velocity = 40m/s
t is the time = 6.5s
a = 48-40/6.5
a = 8/6.5
a = 1.23m/s²
Hence the magnitude of the car’s average acceleration during this period is 1.23m/s²
calculate the speed of a bowling ball that travels 4 meters in 2 seconds
Answer:
2 m/s
Explanation:
Just divide the distance and time. 4/2= 2 m/s
Which of the following is the best definition of lifestyle activity?
a
Recreational activities such as bowling or canoeing
b
Light or moderate activities you do as part of your daily life
c
Winter activities such as snowboarding
d
Vigorous activities like a HIIT workout
What is the diameter of the sun
Answer: 865,370 miles
Explanation: I did the quiz:] Have a nice day!
A water holding tank measures 85 m long,
60 m wide, and 11 m deep. Traces of mercury
have been found in the tank, with a concentration of 50 mg/L.
What is the total mass of mercury in the
tank?
Answer in units of kg.
Explanation:
Total volume of the tank
= 85 * 60 * 11
= 56100 m^3
= 56,100,000 L
1L vol. Of tank contains = 50 mg of Hg
56,100,000 L vol. of tank contains
= 56,100,000 * 50
= 2,805,000,000 mg of Hg
= 2805 kg of Hg
Carbon is most abundant in the and .
Fill the blanks
Answer: yes it is
Explanation:
