Answer:
A
Explanation:
find the acceleration experienced by each of the two objects , if the coefficient of kinetic friction between the 7kg object and the plane is 0.25
The acceleration experienced by each of the two objects, if the coefficient of kinetic friction between the 7kg object and the plane is 0.25 is 5.39m/s²
To solve this problem, we will use Newton's second law of motion. According to the law:
F = ma where:
F is the applied force
m is the mass
a is the acceleration of the body
For the body on the inclined, the sum of force on the body m1 is expressed as:
T - μR = m1a ............ 1
T - μmgcosθ = m1a ............ 1
For the body hanging, the sum of force on the body m2 is expressed as:
m2g - T = m2a ..............2
T is the tension
μ is the coefficient of friction
m1 and m2 are the masses
θ is the angle of inclination
a is the acceleration
Adding both equation will give:
- μm1gcosθ + m2g = (m1+m2)a
substitute the given values into the formula
-0.25(7)(9.8)cos 28 + 12(9.8) = (7+12)a
-17.15cos 28 + 117.6 = 19a
-15.143+117.6 = 19a
102.457 = 19a
a = 102.457/19
a = 5.39m/s²
Hence the acceleration experienced by each of the two objects, if the coefficient of kinetic friction between the 7kg object and the plane is 0.25 is 5.39m/s².
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The acceleration experienced by each of two objects, we can use Newton's second law and the equations ΣF = m × a. For the box sliding down the ramp, we subtract the force of kinetic friction from the gravitational force to find the net force. For the mass being pulled by two forces, we add the forces together to find the net force. Solving these equations will give the acceleration experienced by each object.
To find the acceleration experienced by each of the two objects, we need to apply Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = m * a). In this case, we have two different scenarios:
For the 20.0-kg box sliding down the ramp, the net force can be calculated as the difference between the gravitational force (m × g × sin(theta)) and the force of kinetic friction (μk × m × g × cos(theta)), where μk is the coefficient of kinetic friction, m is the mass of the box, g is the acceleration due to gravity, and theta is the angle of the ramp with the horizontal. The net force can be equated to m × a to find the acceleration of the box.For the 1.5-kg mass being pulled by the forces (4.0 - 3.0j) N and (2.01 - 1.4j) N, we can use the equation ΣF = m × a, where ΣF is the net force on the mass, m is the mass of the mass, and a is the acceleration of the mass. Adding the two forces together will give the net force, which can be equated to m * a to find the acceleration of the mass.By solving these equations, we can find the acceleration experienced by each of the two objects.
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A 0.10kg hockey puck decreases it’s speed from 40m/s to 0m/s in 0.025s. Determine the force that it experiences
If a car is traveling at an average speed of 60 kilometers per hour, how long does it take to travel 12 kilometers?
a. 0.2 hour b. 0.5 hour c. 0.72 hour d. 5.0 hours
Answer: 0.2 hour
Explanation:
Speed = Distance / Time
Time = Distance / Speed
= 12/60
= 0.2 hour
The travel time for 12 kilometers at an average speed of 60 kilometers per hour, divide the distance by the speed, resulting in 0.2 hours, which is option (a).
If a car is traveling at an average speed of 60 kilometers per hour, to calculate how long it takes to travel a certain distance, you can use the formula: time = distance/speed.
To find out how long it takes to travel 12 kilometers:
Time = Distance/ Speed
= 12 km/60 km/h
= 0.2 hours
Therefore, the correct answer is (a) 0.2 hours.
Although cleaner, why isn’t nuclear power used more than fossil fuels?
Explanation:
Nuclear power is derived from energy in nuclear reactions. They require a fuel in form of radioactive substances that disintegrate to produce a massive amount of energy.
Here are some drawbacks to use of nuclear power;
Radioactive wastes in spent rods are very difficult to dispose. These waves are massive environmental concerns before plants can be cited. it requires lot of the technological knowledge to built and maintain. Nuclear fall out from the plant be very terrible such as seen in Chernobyl. The fuels used are not as abundant as fossil fuels on earth.learn more:
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Drag the tiles to the correct boxes to complete the pairs. Match the symbols used in electric circuit diagrams to their functions. a device that converts electric energy into sound energy arrowRight a device that glows when it receives current arrowRight a device that provides energy to a circuit arrowRight a device that starts or stops the flow of current arrowRight
Answer:
In the picture
Explanation:
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Question 3 (1 point)
You are helping your aunt move a piano on wheels from one room to another. When you push the piano horizontally, it moves at constant speed. What can you say about the piano
The force of friction is equal to the pushing force, and the acceleration is zero
Explanation:
In this problem, we are pushing a piano along the floor, in the horizontal direction.
There are 2 forces acting in the horizontal direction on the piano:
The applied force, [tex]F_a[/tex], acting forwardThe force of friction, [tex]F_f[/tex], acting backwardTherefore, the net force in the horizontal direction is
[tex]\sum F = F_a - F_f[/tex]
According to Newton's second law, the net force is equal to the product between the piano's mass (m) and its acceleration:
[tex]\sum F = ma[/tex]
Combining the two equations,
[tex]F_a - F_f = ma[/tex]
However, we are also told that the piano moves at constant speed, therefore the acceleration is zero:
[tex]a=0[/tex]
And so,
[tex]F_a - F_f = 0\\F_f = F_a[/tex]
which means that the force of friction is equal to the applied force.
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Explain why the height of the liquid column in a barometer changes as atmospheric pressure changes.
Answer:
Explanation:
760 mm: Because mercury (Hg) is about 13.6-times denser than water, a mercury barometer only needs to be as tall as a water barometer—a more suitable size. Standard atmospheric pressure of 1 atm at sea level (101,325 Pa) corresponds to a column of mercury that is about 760 mm (29.92 in.) A height of a liquid column will get increased or decreased according to the force of the atmospheric pressure. ... Pressure (P) is inversely proportional to Area (A). So if the area of the column is lesser then Force (F) of the atmospheric pressure is greater
8
car traveling at 120 km/h towards West makes a right turn and travels north without
changing its speed.
120 km/h
120 km/h
Using a vector diagram, find the magnitude and direction of the resultant velocity of the car.
Answer:
The resultant velocity is 169.71 km/h at angle of 45° measured clockwise with the x-axis or the east-west line.
Explanation:
Considering west direction along negative x-axis and north direction along positive y-axis
Given:
The car travels at a speed of 120 km/h in the west direction.
The car then travels at the same speed in the north direction.
Now, considering the given directions, the velocities are given as:
Velocity in west direction is, [tex]\overrightarrow{v_1}=-120\ \vec{i}[/tex]
Velocity in north direction is, [tex]\overrightarrow{v_2}=120\ \vec{j}[/tex]
Now, since [tex]v_1\ and\ v_2[/tex] are perpendicular to each other, their resultant magnitude is given as:
[tex]|\overrightarrow{v_{res}}|=\sqrt{|\overrightarrow{v_1}|^2+|\overrightarrow{v_2}|^2}[/tex]
Plug in the given values and solve for the magnitude of the resultant.This gives,
[tex]|\overrightarrow{v_{res}}|=\sqrt{(120)^2+(120)^2}\\\\|\overrightarrow{v_{res}}|=120\sqrt{2} = 169.71\ km/h[/tex]
Let the angle made by the resultant be 'x' degree with the east-west line or the x-axis.
So, the direction is given as:
[tex]x=\tan^{-1}(\frac{|v_2|}{|v_1|})\\\\x=\tan^{-1}(\frac{120}{-120})=\tan^{-1}(-1)=-45\ deg(clockwise\ angle\ with\ the\ x-axis)[/tex]
Therefore, the resultant velocity is 169.71 km/h at angle of 45° measured clockwise with the x-axis or the east-west line.
How do base-isolators, the rubber and steel pads under some buildings, reduce earthquake damage?
They make a building soundproof.
They prevent fires from spreading.
They protect utility lines and water mains.
They absorb the energy of seismic waves.
Answer:
D
Explanation:
it just is
Final answer:
Base isolators, such as rubber and steel pads, absorb the energy of seismic waves to reduce earthquake damage. They allow the building to move and vibrate while keeping the rest of the structure stable.
Explanation:
Base isolators, such as rubber and steel pads, are used under some buildings to reduce earthquake damage. They work by absorbing the energy of seismic waves, which helps to minimize the impact on the structure. When an earthquake occurs, the base isolators allow the building to move and vibrate, while the rest of the structure remains relatively stable. This helps to protect the building from collapsing or sustaining significant damage.
What is the electric force acting between two charges of 0.0042 C and
-0.0050 C that are 0.0030 m apart?
Use F. - k9192 and k=9.00 x 10°N VIC
The electric force acting between the two charges is - 2.1 * 10^10.
Explanation:
An electric force is exerted between any two charges. Objects with the same charge, having both positive negative charges repel each other, and objects with opposite charges will attract each other.
The formula for finding the electric force is given by,
F = (k q1 q2) / r^2
= (9 * 10^9)(4.2 * 10^-3)(-5 * 10^-3) / (3 * 10^-3)^2
F = -2.1 * 10^10.
A wire 25.2 cm long is at right angles to a
0.219 T uniform magnetic field. The current
through the wire is 6.04 A.
What is the magnitude of the force on the
wire?
Answer in units of N.
The magnitude of the force on the wire is 0.33 N
Explanation:
Whenever a current-carrying electrical wire is placed during a field of force, a force is exerted on the wire. The formula for force depends on length(m), current(I) and magnetic field(B).
The length vector depends on the direction of the present flow. The unit of force is Newtons (N), the unit of current is Ampere (A), the unit of length is the meter (m), and therefore the unit of the field of force is Tesla (T). The direction of the force vector will be found mistreatment the "right-hand rule".
The magnitude of force = (current)*(magnetic field)*(length)
= (6.04) * (0.219) * (0.252) = 0.33 N
you can increase the ideal mechanical advantage of an inclined plane by decreasing the ______ of the inclined plane
Answer:
You can increase the ideal mechanical advantage of an inclined plane by decreasing the angle of the inclined plane
Explanation:
Mechanical Advantage Of An Inclined Plane
Since the sloping surface of the inclined plane is always greater than its height, the ideal mechanical advantage of an inclined plane is always greater than 1. To compute the ideal mechanical advantage for an inclined plane, we divide the length of the incline by the height of the incline. For example, An inclined plane that is 10 meters long and 5 meters high has an ideal mechanical advantage of 2.
If we look at the inclined plane as a triangle formed with the height and the horizontal surface, the length L of the inclined plane is the hypotenuse of such triangle and h is the opposite leg of the angle formed with the floor. Since:
[tex]\displaystyle sin\alpha=\frac{h}{L}[/tex]
The mechanical advantage is
[tex]\displaystyle MA=\frac{L}{h}=\frac{1}{sin\alpha}[/tex]
As [tex]\alpha[/tex] decreases, its sine also decreases and the mechanical advantage (its reciprocal) will increase. Thus the answer is
You can increase the ideal mechanical advantage of an inclined plane by decreasing the angle of the inclined plane
You can increase the ideal mechanical advantage of an inclined plane by
decreasing the angle of the inclined plane.
What is Mechanical advantage?This is a term which is used to depict the ease at which work is done in
relation to the force applied.
A higher angle means that the frictional force is usually higher which
makes more force to be applied and work harder. Decreasing the angle of
the plane makes the frictional force lesser with a smaller force needed.
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How far does a car move when it travels 60mph for 4hours?
Answer: 240 miles
Explanation: 60 times 4 is 240
may i get a brainliest or no? haven't got one in a while
What will happen in the diagram if a lightbulb
placed at D and B is closed?
•The lightbulb will be off.
•The lightbulb will be dimmer than
normal.
•The lightbulb will be on.
•The lightbulb will be short circuited.
ingle
Answer:
Explanation:
There is no other resistance in the circuit. It is as though B was a wire. The light bulb with show its normal brightness with a voltage of A. So the answer is C
A: the lightbulb will light A is incorrect.
B: is incorrect. It will be as bright as is normal for bulb and battery
D: is incorrect. If the switch were placed across D, then the light bulb would be shorted out.
The acceleration from gravity on the moon is 1.6 m/s. How much less force
would you apply standing on the moon?
Answer:
We use the relationship F = m x a, adapted for Weight: W = m x g
Weight is the force, m is the mass and g is the acceleration of gravity. Take an example: you are 100 kg made up of 70 kg of body mass and 30 kg of space suit. Your weight on the Moon would be 100 kg x 1.62 m/s^2 = 162 Newtons (weight force).
On Earth that would be a Weight of 100 kg x 9.81 m/s^2 = 981 Newtons.
Explanation:
The weight on the moon will be 162 Newtons.
What is weight?The force exerted on an object by gravity is known as the weight of the object in science and engineering. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.
A force is an influence that has the power to alter an object's motion. 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.
We use the relationship F = m a, adapted for Weight: W = mg
Weight is the force, m is the mass and g is the acceleration of gravity. Take an example: you are 100 kg made up of 70 kg of body mass and 30 kg of a space suit.
Your weight on the Moon would be 100 kg x 1.62 m/s²= 162 Newtons (weight force).
On earth that would be a Weight of 100 kg x 9.81 m/s² = 981 Newtons.
Therefore, the weight on the moon will be 162 Newtons.
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Delivery drone approaches a customer's porch flying at 8.65 m above the porch at 21.5 km/hr. (a) at what horizontal distance from the desired landing spot should it release a package? (b) at what speed will the package hit the porch?
a) Horizontal distance covered: 8.0 m
b) The final speed is 14.3 m/s
Explanation:
a)
The motion of the package is a projectile motion, so it consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction
First of all, we have to find the time of flight of the package. This is given by the vertical motion, and we can do it by using the suvat equation:
[tex]s=u_y t+\frac{1}{2}at^2[/tex]
where:
s = 8.65 m is the vertical displacement of the package (the initial height from which is thrown)
[tex]u_y=0[/tex] is the initial vertical velocity (the package is thrown horizontally)
t is the time of flight
[tex]a=g=9.8 m/s^2[/tex] is the acceleration of gravity
Solving for the time of flight we find:
[tex]t=\sqrt{\frac{2s}{g}}=\sqrt{\frac{2(8.65)}{9.8}}=1.33 s[/tex]
Therefore the package lands after 1.33 s.
Now we can study the horizontal motion: the package moves horizontally with a constant velocity of
[tex]v=21.5 km/h \cdot \frac{1000}{3600}=6.0 m/s[/tex]
And therefore the distance it covers in 1.33 s is
[tex]d=v_x t =(6.0)(1.33)=8.0 m[/tex]
So the package covers a horizontal distance of 8.0 m.
b)
As we said previously, the horizontal velocity of the package is constant, and it is
[tex]v_x = 6.0 m/s[/tex]
On the other hand, the vertical velocity is constantly changing, and it is given by
[tex]v_y = u_y + at[/tex]
where
[tex]u_y = 0[/tex] (initial vertical velocity)
[tex]a=g=9.8 m/s^2[/tex]
Substituting t = 1.33 s, we find the final vertical velocity:
[tex]v_y = 0 +(9.8)(1.33)=13.0 m/s[/tex] (in the downward direction)
Therefore, the final speed is given by:
[tex]v=\sqrt{v_x^2+v_y^2}=\sqrt{6.0^2+13.0^2}=14.3 m/s[/tex]
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Answer:
(a) [tex]x=7.93\ m[/tex]
(b) [tex]v=15.25\ m/s[/tex]
Explanation:
Horizontal Launching
When an object is released from certain height h with a (only) horizontal speed vo, it describes a curved trajectory with a constant speed in the horizontal direction and a variable speed in the vertical direction, constantly changed by the acceleration of gravity. Their equations are
[tex]v_x=v_o[/tex]
[tex]v_y=g.t[/tex]
The distances traveled in both directions are
[tex]x=v_o.t[/tex]
[tex]\displaystyle y=h-\frac{gt^2}{2}[/tex]
(a)
The package dropped by the drone will land when it travels down all its initial height, thus the flight time must comply:
[tex]\displaystyle 0=h-\frac{gt_f^2}{2}[/tex]
Solving for [tex]t_f[/tex] :
[tex]\displaystyle t_f=\sqrt{\frac{2h}{g}}[/tex]
The data is: h=8.65 m, v_o=21.5 Km/h = 5.972 m/s
[tex]\displaystyle t_f=\sqrt{\frac{2(8.65)}{9.8}}=1.33\ sec[/tex]
Thus, the horizontal distance is
[tex]x=(5.972)*(1.33)=7.93\ m[/tex]
[tex]\boxed{x=7.93\ m}[/tex]
(b)
The horizontal speed at landing time is (constant)
[tex]v_x=5.972\ m/s[/tex]
The vertical speed is
[tex]v_y=(9.8)*(1.33)=13.024\ m/s[/tex]
The magnitude of the total speed is
[tex]v=\sqrt{v_x^2+v_y^2}[/tex]
[tex]v=\sqrt{(7.93)^2+(13.024)^2}=15.25\ m/s[/tex]
[tex]\boxed{v=15.25\ m/s}[/tex]
State ohm’s law Q.34.7
Ohm's law states that: [tex]V=RI[/tex]
Explanation:
Ohm's law states that in a conductor, the potential difference across the conductor is directly proportional to the current flowing through it. Mathematically,
[tex]V \propto I[/tex]
where
V is the potential difference
I is the current
The constant of proportionality is called resistance (R), and it gives a measure of "how much the conductor opposes" to the flow of current. Therefore Ohm's law can be rewritten as
[tex]V=RI[/tex]
where R is the resistance. By rewriting the equation as
[tex]I=\frac{V}{R}[/tex]
we see that the larger the resistance, the lower the current in the conductor.
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How can you use graphs to calculate the displacement of an object?
O
A. Find the area under the position-time graph
O
B. Find the slope of the position-time graph
O
C. Find the area under the velocity-time graph
O
D. Find the slope of the velocity-time graph
Answer:
C
Explanation:
The order is this: Displacement --> Velocity --> Acceleration. The velocity directly affects the displacement and the acceleration directly affects the velocity. (changing the acceleration changes the velocity which also changes the displacement).
To go forward in our order, find the slope of the curve/line. To go backwards, find the area under the curve/line. In this case, we are trying to find the displacement of the object, so we should find the area of a velocity-time graph.
To calculate the displacement of an object using graphs, you can either find the area under the position-time graph or the slope of the velocity-time graph.
Explanation:To calculate the displacement of an object using graphs, you can use two different methods:
Find the area under the position-time graph: By calculating the area under the curve of the position-time graph, you will determine the displacement of the object. The area represents the distance traveled.Find the slope of the velocity-time graph: The slope of the velocity-time graph represents the object's acceleration. By integrating the acceleration function, you can determine the velocity. Then, by integrating the velocity function, you can find the displacement.Therefore, the correct options are A and D.
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Compare relative age with absolute age.
Answer & Explanation:
Relative age is the age of a rock layer (or the fossils it contains) compared to other layers. It can be determined by looking at the position of rock layers. Absolute age is the numeric age of a layer of rocks or fossils.
A light bulb provides a resistance of 20 Ω to the 30 A current that runs through it. Determine the voltage of the battery in the flashlight.
0.7 V
2 V
51 V
600 V
Explanation:
Ohm's law:
V = IR
V = (30 A) (20 Ω)
V = 600 V
Answer:
The voltage of the battery in the flashlight is 600 v
Explanation:
A light bulb provides a resistance of 20 Ω to the 30 A current that runs through it. Determine the voltage of the battery in the flashlight.
To determine the voltage of this battery,all we need to do is to use the formula;
V= IR
where v = voltage
I = current
R= resistance
From the question given;
resistance (I) is given to be 20 while current(I) is 30
We can now proceed to insert our values into the formula;
V= IR
V = 20 × 30
v = 600 v
The voltage of the battery in the flashlight is 600 v
How does Newton's first law of motion affect people in a car crash?
Answer:
When the car crashes there is no balanced force acting on the person so they continue forward in the car
Explanation:
What is 52,427 equal in scientific notation
Answer: 5.2427 x [tex]10^{4}[/tex]
Explanation: To write a number in scientific notation, first write a decimal point in the number so there is only 1 digit to the left of the decimal point.
So here, we have 5.2427 and notice that there is only 1 digit to the left of the decimal point. Next, we count the number of places the decimal point would need to move to get back to the original number 52,427.
Since we would need to move the decimal point 4 places to the right, we have an exponent of positive 4.
Now, Scientific notation is always expressed as a number times a power of 10. So in this case we have 5.2427 x [tex]10^{4}[/tex].
So 52,427 can be written in scientific notation as 5.2427 x [tex]10^{4}[/tex].
You can write 52,227 as 5.2427×10-⁴
determine the percent yield of copper by dividing the actual yield (in moles) by the theoretical yield (in moles). percent yield = %
Answer:
79% is = to the percent yield
Answer:
79
Explanation:
80N force ;
height: 5m
it reaches a final velocity of 4 m/s
(no mass given)
wanted : power of the engine
The power of the engine is 320 W.
Explanation:
Power may be defined as the rate of doing work (or) work done per unit time. One unit of energy is used to do the one unit of work.
Power = Work done / Time taken
Given, Force = 80 N, height = 5 m , final velocity = 4 m/s
To calculate the power, we must know the time taken.
To find the time, use the distance and speed formula which is given by
Time = Distance / speed
Here distance = 5 m and speed = 4 m/s
Time = 5 / 4 = 1.25 s.
Now, Power = work done / time
= (F * d) / t = (80 * 5) / 1.25
Power = 320 W.
The standard unit of power is watt (W) which is joule per second.
At what vertical velocity should no object be launched at in order to achieve a height of 20m?
Answer:
19.8 m/s
Explanation:
Given:
Maximum vertical displacement of the object (H) = 20 m
Acceleration due to gravity (g) = 9.8 m/s²
At maximum height, the velocity of the object is 0 m/s for a moment. So, final velocity (v) at the maximum height is 0 m/s.
Now, let the initial velocity or velocity at launch be 'u' m/s.
Now, using the following equation of motion for vertical motion:
[tex]v^2=u^2-2gH[/tex]
Rewriting in terms of 'u', we get:
[tex]u^2=v^2+2gH\\\\u=\sqrt{v^2+2gH}[/tex]
Plug in the given values and solve for 'u'. This gives,
[tex]u=\sqrt{0+2\times 9.8\times 20}\\\\u=\sqrt{392}\\\\u=19.8\ m/s[/tex]
Therefore, the vertical velocity at the launch is 19.8 m/s.
any object that attracts iron is a(n)
Explanation:
Any object that attracts iron is called as Magnet .
Magnet
It is an object which attracts pieces of iron, steel etc towards itself.
Magnets made are of diff. shapes like :
Bar magnet- long rectangular piece of magnet
Horse shoe shaped- U shaped magnet
Magnetic needle
Magnetic compass :
Some facts about magnets:-
• When magnet is freely suspended it always align towards north-south direction
• Like poles always repel & opp. poles attract each other.
• Magnet always exist as dipole
• Two poles can never be separated : if we try to cut it then still both the poles will exist even ina small piece of magnet .it automatically develops the lost polarity
Magnet always develop certain area around it where its effect can be felt ie. magnetic field.The Milky Way is the name of the _______ where the Earth is located. A. orbit B. universe C. galaxy D. solar system
The name of the Milky Way in which planet Earth is located is Galaxy.
A Galaxy is a collection of billions or millions of stars, as well as dust and gas, that is gravitationally bound together by a super-massive black hole at its center. The Greek term galaxies, which translates to "milky" and refers to the Milky Way.
There are solar systems within galaxies. Our Solar system is a part of the Milky Way galaxy. Our solar system contains the planet Earth, where we reside. In summary, your planet is located in the Milky Way. It is only a tiny portion of the Milky Way Galaxy.
So, Milkyway is the galaxy in which we live or our planet Earth is a part of.
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she travels 5km north 3km east 1km north again what is the distance and displacement she walks 3hrs what is the average speed and average velocity
1) Distance: 9 km, displacement: 6.7 km at [tex]63.4^{\circ}[/tex] north of east
2) Speed: 3 km/h, velocity: 2.2 km/h at [tex]63.4^{\circ}[/tex] north of east
Explanation:
1)
Distance is the total length of the path travelled by an object, regardless of the direction of motion. It is a scalar quantityDisplacement is a vector connecting the initial position to the final position of motion of an object, so it also takes into account the directionIn this problem, the person travels:
5 km north
3 km east
1 km north
Therefore, the distance covered is simply the sum of these paths:
d = 5 + 3 +1 = 9 km
Instead, for the displacement we have to see what is the final position. The total displacement in the north direction is
[tex]d_y = 5 + 1 = 6 km[/tex]
While the displacement in the east direction is
[tex]d_x = 3 km[/tex]
Since the two are perpendicular in direction, we can find the length of the total displacement by using Pythagorean's theorem:
[tex]d=\sqrt{d_x^2+d_y^2}=\sqrt{3^2+6^2}=6.7 km[/tex]
And the direction is
[tex]\theta=tan^{-1}(\frac{d_y}{d_x})=tan^{-1}(\frac{6}{3})=63.4^{\circ}[/tex] north of east.
2)
The average speed of a body is a scalar quantity given by
[tex]speed=\frac{distance}{time}[/tex]
In this problem,
distance = 9 km
time elapsed = 3 h
Therefore, the speed is
[tex]speed=\frac{9 km}{3 h}=3 km/h[/tex]
The average velocity of a body is a vector quantity given by
[tex]velocity = \frac{displacement}{time}[/tex]
In this problem,
displacement = 6.7 km
time elapsed = 3 h
Therefore, the velocity is
[tex]velocity = \frac{6.7}{3}=2.2 km/h[/tex]
And the direction is the same as the displacement ([tex]63.4^{\circ}[/tex] north of east)
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Which of the following elements most likely has the highest boiling point?
a. aluminum
b. chlorine
C. argon
d. phosphorous
Answer:
Explanationalluminiim
a) aluminium
Mark as BrainliestWhich of these is a good example of Newton's First Law of inertia
Answer:
Its is A
Explanation:
Which of these is a good example of Newton's First Law of inertia
A)
a ball sits motionless on the ground
B)
a ball gathers speed as it rolls downhill
C)
a ball accelerates as it falls out of the classroom window
D)
a ball slows down after it is kicked through the grass
Final answer:
A ball at rest exemplifies Newton's First Law of inertia, as it will remain stationary unless acted upon by an external force. Other options involve external influences such as gravity and friction, which cause changes in motion.
Explanation:
Newton's First Law, often referred to as the law of inertia, dictates that an object will remain at rest or move at a constant velocity unless acted upon by a net external force. One of the choices that best exemplifies this concept is: A) a ball sits motionless on the ground.
This scenario shows that the ball will stay at rest since there is no external force causing it to move. In contrast, the other options involve accelerating, decelerating, or being under the influence of gravity, indicating that there are external forces at play.
To further illustrate this principle, consider when a ball is kicked through the grass and begins to slow down as in option D). It is the frictional force acting opposite to the direction of motion that causes the ball to decelerate. If there was no friction or other net external force, the ball would continue to move at a constant velocity in a straight line, a concept rooted in the First Law of inertia.
The mass of an object is a measure of its inertia. This means that heavier objects (greater mass) require more force to change their state of motion. Therefore, two balls with the same size but different masses, when subjected to the same force, will not travel the same distance due to the difference in inertia.