Answers
Answer:
The resultant vector \(\vec R = \vec A+\vec B\) is given by \(\vec R = 3.196\,\hat{i}-0.464\,\hat{j}\,\,\,[m]\).
Explanation:
Let \(\vec A = 6\cdot (\cos 30^{\circ}\,\hat{i}+\sin 30^{\circ}\,\hat{j})\) and \(\vec B = 4\cdot (-\sin 30^{\circ}\,\hat{i}-\cos 30^{\circ}\,\hat{j})\), both measured in meters. The resultant vector \(\vec R\) is calculated by sum of components. That is:
\(\vec R = \vec A+\vec B\) (Eq. 1)
\(\vec R = 6\cdot (\cos 30^{\circ}\,\hat{i}+\sin 30^{\circ}\,\hat{j})+4\cdot (-\sin 30^{\circ}\,\hat{i}-\cos 30^{\circ}\,\hat{j})\)
\(\vec R = (6\cdot \cos 30^{\circ}-4\cdot \sin 30^{\circ})\,\hat{i}+(6\cdot \sin 30^{\circ}-4\cdot \cos 30^{\circ})\,\hat{j}\)
\(\vec R = 3.196\,\hat{i}-0.464\,\hat{j}\,\,\,[m]\)
The resultant vector \(\vec R = \vec A+\vec B\) is given by \(\vec R = 3.196\,\hat{i}-0.464\,\hat{j}\,\,\,[m]\).
Related Questions
Calculate the young modulus in a cantilever depression method. The length is 1m which is suspended by a load of 150g. The depression is found to be 4cm. The thickness of the beam is 5mm and the breath is 3cm.(g=9.8)
Answers
The young's modulus in a cantilever will be 3.92 x 10¹⁰ N/m².
What is young's modulus?Young's modulus (E) is a material property that indicates how easily it can stretch and deform and is defined as the ratio of tensile stress () to tensile strain (). Where stress denotes the amount of force applied per unit area ( = F/A) and strain denotes the extension per unit length
Given that the length is 1m which is suspended by a load of 150g. The depression is found to be 4cm. The thickness of the beam is 5mm and the breath is 3cm.
The young's modulus will be calculated by the formula below,
Y = (4gl³) / (bd³) x ( M / y )
Y = ( 4 x 9.81 x 1³ x 0.150 ) / ( 0.03 x 0.005³ x 0.04 )
Y = 3.92 x 10¹⁰ N/m².
Therefore, young's modulus will be 3.92 x 10¹⁰ N/m².
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At the end of the passage, Sarah says to Emma, “You’re not the only one with tricks up your sleeves.” Explain what Sarah means by this. Use information from the passage to support your answer.
Answers
Answer:
Sarah plans to use trickery and cunning to get back at Emma. Sarah thinks she is smarter than Emma.
Explanation:
i think this is right i dont know tho
What is the fifteen-day phase of reducing moon size between full moon and new moon called?
A. cycling
B. waxing
C. waning
D. phasing
Answers
Answer: The answer would be option B waxing phase as per the phases of the moon.
Explanation: The moon has a cycle of 30 days in the first fifteen days it starts from a new moon and travels the path upto it reaches a full moon this phase of the moon is called Waxing Phase and in the next phase it travels from a full moon to the new moon again and this phase of the moon is said to be the Waning Phase.
These two phases of the moon are also divided into two subphases where they have Crescent and Gibbous.
As per these explanations, the conclusion could be driven that the moon from a full moon to a new moon is called as Waning phase.
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https://brainly.in/question/6955952 https://brainly.in/question/6955952Im need some help with this please
Answers
Happy Friday!!!
Answer:
c) Aeroplane
Explanation:
The aeroplane has the greatest mass than the other three objects, so it experiences the greatest gravitational force. Hence, the option (c) is the answer.
It takes 24 hours for _______?
a.Earth to circle the sun one time
b.earth to rotate on its axis one time
c. The sun to circle earth one time
d.the sun to rotate on its axis one time
Answers
Answer:
C
Explanation:
Earth rotates once in about 24 hours with respect to the Sun, but once every 23 hours, 56 minutes, and 4 seconds with respect to other, distant, stars. Earth's rotation is slowing slightly with time; thus, a day was shorter in the past. This is due to the tidal effects the Moon has on Earth's rotation.
Answer: the answer is b.
ps: the other answer is wrong, the earth rotates around the sun, and the sun doesn't rotate around the earth.
Explanation:
The resultant of two vectors is of magnitude 3 units and 4 units is 1 units, what is the value of their dot product?
Answers
Answer:
A dot B = C is the vector equation for this expression
A · B = A B cos θ
3 * 4 cos θ = 1 the value 1 is their dot product
cos θ = 1 / 12 = .083 θ = 85.2 deg
pls help, i have no idea where to start
Answers
Answer:
Use equation 1/2 * m * v²
Explanation:
where m = mass in kg
and v = velocity in m/s
plug accordingly.
Question 7 of 10
Which of the following describes the products of a chemical reaction?
O A. The chemicals on the left side of a chemical equation
B. The substances that are changed
O C. The original materials
O D. The chemicals on the right side of a chemical equation
SLIRMIT
Answers
The products are the stuff formed from the reactants in a faction.
What are 3 facts you learned about the periodic table:
Answers
Answer: the rarest element is Francium. J is not on the periodic table. also Dmitri Mendeleev proposed the periodic table.
Explanation: Kinda looked the last one up.
A 6 kg blue ball rolls across the ground and collides with a stationary 1 kg red ball.
Before the collision the blue ball moved right with a speed of 4 m/s, and after the
collision it moved left with a speed of 1 m/s. If the red ball was not moving before the
collision, how fast is it moving after the collision?
Answers
The final velocity of the red ball is 18 m/s.
What is momentum?The term momentum has to do with the product of the mass and the velocity of an object We know that the momentum is always conserved in accordance with the Newton third law. Also it is clear that the momentum before collision is equal to the total momentum after collision and we are going to apply this principle here.
Then;
Mass of the blue ball = 6 kg
Mass of the red ball = 1 kg
Initial velocity of the blue ball = 4 m/s
Initial velocity of the red ball = 0 m/s
Final velocity of the red ball = ??
Final velocity of the blue ball = 1 m/s
We now have;
(6 * 4) + (1 * 0) = (1 * v) + (6 * 1)
24 = v + 6
v = 24 - 6
v = 18 m/s
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An object accelerates 3 m/s2 , when a force of 6 N acts on it. What is the object’s mass
Answers
Answer:
2 kgExplanation:
The mass of the object can be found by using the formula
\(m = \frac{f}{a} \\ \)
f is the force
a is the acceleration
From the question we have
\(m = \frac{6}{3} \\ = 2\)
We have the final answer as
2 kgHope this helps you
which of the following describes the net force on an object?
A. The sum of all forces acting on an object
B. The Gravitational force minus any contact forces on an object.
C. The difference between the normal force and the Gravitational force acting on an object.
D. the sum of all forces acting on an object in the same direction.
Answers
The statement that describes the net force on an object is the sum of all forces acting on an object (option A).
What is net force?Net force is sum of all forces acting on an object in a single plane.
When a force is applied to a body, not only is the applied force acting, there are many other forces like gravitational force, frictional force and the normal force that balances the other force.
The sum of all these forces acting on the object whether in the same or opposite direction is regarded as the net force.
Therefore, the statement that describes the net force on an object is the sum of all forces acting on an object.
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v=√gr tan 31.0 grados
Answers
The banking angle is the angle that the surface makes with the horizontal, or the angle of inclination.
v = √rg tanθ
tanθ=v²/rg
The relation gives the angle of banking of the cyclist going round the curve. Here v is the speed of the cyclist, r is the radius of the curve, and g is the acceleration due to gravity.
The banking angle is the angle that the surface makes with the horizontal, or the angle of inclination. The normal force acting on the car while travelling through such a curving road has a horizontal component. The centripetal force needed to prevent skidding is provided by this component.
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12. An advertisement for an all-terrain vehicle (ATV) claims that the ATV can climb
inclined slopes of 35°. What is the minimum coefficient of static friction needed for
this claim to be possible?
Answers
The minimum coefficient of static friction required for this claim to be made possible is 0.7
In an inclined plane system, the coefficient of static friction is the angle at which an object slide over another.
The gravitational force component exceeds the static friction force when the angle rises. Hence, the object begins to slide.
According to Newton second law;
\(\sum F_x = \sum F_y = 0\)
\(\mathbf{mg sin \theta -f_s= N-mgcos \theta = 0 }\)
On the L.H.S\(\mathbf{mg sin \theta =f_s}\)
\(\mathbf{mg sin \theta =\mu_s N}\)
On the R.H.SN = mg cos θ
Equating both force components on the L.H.S and R.H.S, we have the following
\(\mathbf{mg sin \theta =\mu_s \ mg \ cos \theta}\)
\(\mathbf{sin \theta =\mu_s \ \ cos \theta}\)
\(\mathbf{\mu_s = \dfrac{sin \theta }{ cos \theta}}\)
According to the trigonometry rule:
\(\mathbf{tan \theta= \dfrac{sin \theta }{ cos \theta}}\)
∴
\(\mathbf{\mu_s =\tan \theta}}\)
\(\mathbf{\mu_s =\tan 35^0}}\)
\(\mathbf{\mu_s = 0.700}}\)
Therefore, we can conclude that the minimum coefficient of static friction needed for this claim to be possible is 0.7
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what happens if we add a lump of ice to a tumbler containing water? how does heat flow?
Answers
Answer:
The ice will melt
Heat flows from the water to the ice
Explanation:
If we add a lump of ice to a tumbler containing water, the ice lump will melt in the water.
This is a simple physical change of state from solid to liquid.
At the end both the solid ice and the original liquid maintains the liquid state.
The heat will flow from the ice to the water in the tumbler. Heat generally flows from a body at higher temperature to one with a lower temperature. The water has a higher temperature when compared to the ice. So, heat flows from the liquid water to the ice until thermal equilibrium is reached.The earth has a radius of 6.38×10^6 meters. Assume a perfectly smooth spherical earth. Calculate the minimum horizontal velocity required for an object to orbit the earth just above the surface.
Answers
The minimum horizontal velocity required for an object to orbit the earth just above the surface is 5.04 x 10¹⁰ m/s.
What is orbital speed of earth?The orbital speed of Earth or a natural satellite is the speed at which it orbits around the center of the system.
The minimum horizontal velocity required for an object to orbit the earth just above the surface is calculated as follows;
V(min) = √GMR
where;
G is universal gravitation constant = 6.67 x 10⁻¹¹Nm²/kg²M is mass of earth = 5.97 x 10²⁴ kgR is the radius of the earth = 6.38 x 10⁶ mSubstitute the given parameters and solve for the minimum orbital speed of the earth.
V(min) = √(6.67 x 10⁻¹¹ x 5.97 x 10²⁴ x 6.38 x 10⁶)
V(min) = 5.04 x 10¹⁰ m/s
Thus, the minimum horizontal velocity required for an object to orbit the earth just above the surface is 5.04 x 10¹⁰ m/s.
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A girl weighs 58kg and runs up a staircase 52m high in 23seconds. Find her minimum power output
Answers
Given,
The mass of the girl, m=58 kg
The height of the staircase, h=52 m
The time she takes to run up the staircase, t=23 s
The work the girl does to climb up the staircase is equal to the change in the potential energy of the girl.
Thus the work done is given by,
\(W=\text{mgh}\)Where g is the acceleration due to gravity.
On substituting the known values,
\(\begin{gathered} W=58\times9.8\times52 \\ =29.56\times10^3\text{ J} \end{gathered}\)The power output is equal to the rate at which the work is done
Thus the power output is given by,
\(P=\frac{W}{t}\)On substituting the known values,
\(\begin{gathered} P=\frac{29.56\times10^3}{23} \\ =1285.22\text{ W} \end{gathered}\)Thus the maximum power output is 1285.22 W
A 100g steel ball falls from a height of 1.8m onto a metal plate and rebounds to a height of 1.25m.
A. potential energy before the fall?
B. kinetic energy of the ball as it hits the plate?
Answers
Answer: A - 1.8J B - 1.764J
Explanation:
2A - M X G X H (P.E = MGH)
100 X 9.8 X 1.8
= 1.8 J
2B - DEC IN P.E = INC IN K.E
SO,P.E = 1.764 = K.E = 1.764 J
Which statements describe supporters of the New Jersey Plan? Choose two correct answers.
They thought that each state should have equal representation in Congress.
They thought that the largest states should have the most say in the new government.
They believed that the United States had been created by the states rather than the people.
They wanted the new national government to have a bicameral legislature.
They feared that the voices of the people would get lost if states were given too much power.
Answers
Answer:
Your answers are A and C.
Explanation:
Have an amazing day/night. I am so sorry I do not have the explanation you are looking for. But I did get this right on the assignment.
Which of the following is not a true statement?
A
B
C
D
Answers
Answer:
I think A
Explanation:
because I don't think a unknowned number can be a division problem
A box puts a pressure of 50 N/m2 on an area of 0.25 m2. Find the force of the box on the floor.
Answers
A box puts a pressure of 50 N/\(m^{2}\) on an area of 0.25 \(m^{2}\). The force of the box on the floor is 12.5 Newton (N)
What is pressure and types?Pressure is defined as the physical force exerted on an object. The force applied is perpendicular to the surface of objects per unit area. The basic formula for pressure is \(\frac{F}{A}\) (Force per unit area). Unit of pressure is Pascals (Pa). Types of Pressures are Absolute, Atmospheric, Differential, and Gauge Pressure.
Using the formula Force = Pressure × Area
given Pressure = 50 N/\(m^{2}\)
area = 0.25 \(m^{2}\)
Substituting the values ,
Force = 12.5 Newton
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Where did the gold of the Inca civilization come from?
Answers
Answer:
ocean-continental convergence
A car moving at a velocity of 25m/s, so how much distance it will travel in 5 seconds?
Answers
Answer:
125 meters
Explanation:
5s= s*5 so 25*5=125 m
A projectile is fired horizontally off the top of a cliff with an initial velocity of 30 m/s. It hits the ground 2.0 seconds later. What is the height of the cliff?
Answers
Answer:no
Explanation:
''In general, the normal force is not equal to the weight." Give an example where the two forces are equal in magnitude and at least two examples where they are not.
Answers
A normal force is a force applied perpendicular to a surface on an object in contact with it. The weight is the gravitational force imposed on an object, and it is equal to the mass multiplied by the acceleration due to gravity.
When an object is put on a scale at rest on a level surface, the normal force equals the weight. In this instance, the normal force acting upwards from the scale on the object is equal to the weight acting downwards.
Here are two instances of normal forces that are not equal to weight:
When a person stands on an inclined plane or ramp, the normal force applied by the plane is less than the person's weight, because some of the weight is resolved parallel to the plane, causing the person to slide down if enough friction exists.
The normal force exerted by the air or other medium on a person in free fall is zero, while their weight due to gravity stays constant.
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what role do control groups play
Answers
Answer:
Control groups let the one who is expermenting compare the effect of the varibles in the expermental group.
Explanation:
A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating in such a way that it makes one revolution in 2.09 s. What minimum coefficient of static friction between her feet and the floor of the merry-go-round is required to keep her in the circular path
Answers
Answer:
2.01
Explanation:
First, we need to find the centripetal acceleration.
We're given that the merry go round rotates 1 revolution in 2.09 seconds. Converting to rpm, we know that it rotates 30 revolution per minute
Now this speed gotten in rpm will be converted to m/s, to ease the calculation
30 rpm = πdN/60 m/s
30 rpm = (3.142 * 4 * 30)/60
30 rpm = 377.04/60
30 rpm = 6.284 m/s
a(c) = v²/r
a(c) = 6.284²/2
a(c) = 39.49 / 2
a(c) = 19.74 m/s²
F = ma
F = 50 * 19.74
F = 987 N
Also, Normal Force, F(n) =
F(n) = mg
F(n) = 50 * 9.81
F(n) = 490.5
We then use this to find the coefficient of static friction, μ
μ = F/F(n)
μ = 987 / 490.5
μ = 2.01
Describe the differences between a HALL effect sensor and a permanent magnet sensor. Which one is more accurate?
Answers
The difference is that Hall effect sensor detects the strength of a magnetic field perpendicular to it, while a permanent magnetic sensor detects the angle of a parallel magnetic field.
The permanent magnetic sensor tends to be more accurate as it has a bigger detectable area that has detects layout error.
What is a magnet?
A magnet is any material that produces a magnetic field. A magnet has north and south poles at opposite ends.
The difference between a hall effect magnet and a permanent magnet sensor is that hall effect detects magnetics fields perpendicular to it while a permanent magnet detects magnetic fields parallel to it.
In conclusion, the permanent magnet is more accurate as it has a wider detectable area.
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A block hangs at rest from the ceiling by a piece of rope. Consider the forces acting on the block.Force Present or Absent?-Gravity ___-Spring ___-Tension ___
Answers
Given that the block hangs from the ceiling by a rope.
We have to find forces acting on the block.
As the block hangs from a certain height, the gravitational pull will be present.
So there is the force of gravity due to the mass of the object acting downwards.
There is no spring attached to the block, so there is no force due to the spring.
As it is connected through a rope, there will be tension in the rope acting upwards.
Thus, gravity and tension are present and spring is absent.
how many taste buds do humans have 100,000, 100, 10,000 1,000
Answers
The approximate number of taste buds that humans have is 10,000 (option C).
What are taste buds?Tastebuds are any of the small organs on the tongue used for tasting.
Taste buds are cells on the tongue that allow one to perceive tastes, including sweet, salty, sour, bitter and umami.
Taste buds regenerate approximately every 10 days, which means injured taste buds usually repair on their own. The average adult human has between 2000 and 8000 tastebuds.
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