D. For any projectile motion, there is a constant downwards acceleration due to gravity at all instances. This not to be confused with velocity, which changes due to gravity at every moment along the object's path.
Salmon often jump waterfalls to reach their breeding grounds. Starting 3.15 m from a waterfall 0.45 m in height, at what minimum speed must a salmon jumping at an angle of 33.2 degree leave the water to continue upstream? the acceleration due to gravity is 9.81 m/s2. Answer in units of m/s.
Let the salmon jump with speed v at an angle of 33.3 degree
So here we can find out the components of his velocity in x and y direction
[tex]v_x = v cos33.2[/tex]
[tex]v_y = v sin33.2[/tex]
now the horizontal displacement of the salmon is 3.15 m so he cover this horizontal distance with constant speed as there is no acceleration in x direction
here we can say
[tex]v_x * t = 3.15[/tex]
[tex]v cos33.2 * t = 3.15[/tex]
[tex]v*t = 3.76[/tex]
now in Y direction it is an accelerated motion as it is accelerated due to gravity
[tex]y = v_y * t + \frac{1}{2}at^2[/tex]
[tex]-0.45 = v sin33.2* t - \frac{1}{2}*9.8* t^2[/tex]
now we will plug in v*t = 3.76
[tex]-0.45 = 3.76 * sin33.2 - 4.9 * t^2[/tex]
[tex]4.9 t^2 = 2.51[/tex]
[tex]t^2 = 0.512[/tex]
[tex]t = 0.72 s[/tex]
now speed v is given by equation above
[tex]v*t = 3.76[/tex]
[tex]v*0.72 = 3.76[/tex]
[tex]v = 5.25 m/s[/tex]
so here he must have to jump with minimum speed of 5.25 m/s
A car is traveling east at a constant speed along a straight road which of the following can you conclude about the car
Well, there aren't really any choices on the list you provided that I would consider to be an acceptable answer to this question. So I just have to make something up:
From the given information, I can conclude:
-- The car's velocity is constant, and points East.
-- The car's acceleration is zero.
-- The forces on the car are balanced.
-- The centripetal force acting on the car is zero.
-- The force delivered from the engine to the wheels is EXACTLY EQUAL to the sum of the forces of air resistance and friction with the road.
A rock is thrown at an angle of 30 degrees above the horizontal with initial velocity 15m/s what is the displacement when the rock returns to the ground
The displacement of the rock will be the same as the total horizontal distance traveled. Here the rock's horizontal position is given by
[tex]x=\left(15\,\dfrac{\mathrm m}{\mathrm s}\right)\cos30^\circ\,t[/tex]
so to find the horizontal distance it traversed, we need to know the time it took for the rock to return to the ground. We use the rock's vertical position over time to figure that out:
[tex]y=\left(15\,\dfrac{\mathrm m}{\mathrm s}\right)\sin30^\circ\,t-\dfrac g2t^2=0[/tex]
where [tex]g=9.8\,\dfrac{\mathrm m}{\mathrm s^2}[/tex] is the acceleration due to gravity. Then we find that [tex]t\approx1.5\,\mathrm s[/tex], at which point we find [tex]x\approx20\,\mathrm m[/tex].
Help? Will give thanks if right (thank you)
If a car went 30 km West I’m 25 min. And then 40 km south in 35 min. What would be it’s average
Its average would be 35km in 30 minutes Hope this helps :D
a kangaroo is capable of jumping to a height of 2.62 m. determine the takeoff speed of the kangaroo.
a) 717
b) 8.2
c) 5.92
d) 7.17
kangaroo is capable of jumping to a height of 2.62 m
It means it will reach maximum height of 2.62 m when it will jump off with some maximum capable speed from the ground
So here as it will reach to its maximum height the final speed of the kangaroo will be zero
and also we know that during the motion of kangaroo the acceleration of kangaroo is due to gravity which is given by g = 9.8 m/s^2
now we can use kinematics equation to find out take off speed
[tex]v_f^2 - v_i^2 = 2 a d[/tex]
here we know that
[tex]v_f = 0[/tex]
a = - 9.8 m/s^2
d = 2.62 m
now we will have
[tex]0^2 - v_i^2 = 2 * (-9.8)* 2.62[/tex]
[tex] - v_i^2 = - -51.352 [/tex]
[tex]v_i = \sqrt{51.352}[/tex]
[tex]v_i = 7.17 m/s[/tex]
so the take off speed of the kangaroo will be 7.17 m/s and correct answer is "option d"
Answer:
vi = 7.17 m/s
Explanation:
(4225 m2/s2)/(6 m/s2) = d
d = 704 m
Return to Problem 8
Given:
vi = 22.4 m/s
vf = 0 m/s
t = 2.55 s
Find:
d = ??
d = (vi + vf)/2 *t
d = (22.4 m/s + 0 m/s)/2 *2.55 s
d = (11.2 m/s)*2.55 s
d = 28.6 m
Return to Problem 9
Given:
a = -9.8 m/s2
vf = 0 m/s
d = 2.62 m
Find:
vi = ??
vf2 = vi2 + 2*a*d
(0 m/s)2 = vi2 + 2*(-9.8 m/s2)*(2.62 m)
0 m2/s2 = vi2 - 51.35 m2/s2
51.35 m2/s2 = vi2
vi = 7.17 m/s
What is the x-component of vector E⃗ of the figure in terms of the angle θ and the magnitude E?
The x-component of a vector can be calculated using the magnitude of the vector and the angle it forms with the positive x-axis.
Explanation:In a rectangular coordinate system in a plane, the x-component of a vector is given by the dot product of the vector with the unit vector Î (î). The x-component can be calculated as:
Ex = E * cos(θ)
where E is the magnitude of the vector and θ is the angle the vector forms with the positive x-axis.
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The x-component of a vector describes the part of the vector in the x direction. In the case of vector E⃗, it can be computed based on the angle θ it makes with the x-axis and its magnitude E through the relationship E cosθ.
Explanation:The x-component of a vector describes the effect of the vector in the 'x' direction. This can be visualized by understanding that any vector can be viewed as a resultant of its components along the various axes available (here, along 'x'). Thus, when a given vector is expressed in rectangular or Cartesian components, the respective projections of the vector on 'x' (and 'y') directions essentially give the x-component (and y-component).
In the case of vector E⃗, the x-component can be computed based on the angle θ (theta) it makes with the 'x' axis and its overall magnitude E, using simple trigonometric principles. The x-component (Ex) is given by E cosθ because cosθ gives the fraction of the magnitude E that lies along the 'x' direction.
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When using wooden pallets to store batteries, place the pallets on sand or gravel?
True or False?
The correct awnser is true i belive
TRUE
Answer
It is false
Explanation:
In old days it was assumed that if we place wooden pallets on concrete. The casing of pallets may break down and their may be leakage of battery. So to protect the case, people placed the pallets on sand or gravel.
Here they use the concept that if you place a glass jar on concrete with a force it may got a crack and if you place this glass jar with same force on sand it will not break.
But it is not true because pallets have strong casing which cant break on placing it on concrete.
Hence When using wooden pallets to store batteries it can be placed anywhere.
a car is driving west on a highway at 25 m/s. what is the car's speed in km/h?
90 km/hr
Unit conversion 1000 m/km 60 min/hr 60 s/min
Answer: The speed of car is 90 km/hr
Explanation:
We are given:
Speed of car = 25 m/s
To convert this speed into km/hr, we use the conversion factors:
1 km = 1000 m
1 hr = 3600 s
Converting the speed into km/hr, we get:
[tex]\Rightarrow (\frac{25m}{s})\times (\frac{1km}{1000m})\times (\frac{3600s}{1hr})\\\\\Rightarrow 90km/hr[/tex]
Hence, the speed of car is 90 km/hr
Type the correct answer in the box. Use numerals instead of words.
On average, how much of their income will a family spend on food?
Income level of a family is one of the factors that affect a food budget. On average, a family will spend ________percent of their income on food.
10% of the income.
Explanation:According to the most recent data from the U.S. Bureau of Labor Statistics, in 2013 the average American household spent about 10% of its total budget on food.For example if you have income of $6000, you will spend $600 on food.Answer:
20% of their income
Explanation:
I got a five on Plato
Why is the law of gravity an example of a universal law?
A) gravity is the attraction of any mass to any other other mass .
B) Gravity is a force that affects everyone on earth
C) gravity is the reason the earth revolves around the sun
D) gravity is a force that exist between any two masses in the universe
A) gravity is the attraction of any mass to any other other mass .
D) gravity is a force that exist between any two masses in the universe
both are ok ...
Why is an abseiling rope tested beyond twice the maximum possible weight when in use
ANSWER:
Abseiling rope is tested beyond twice the maximum possible weight when in use because of safety purposes.
EXPLANATION:
Every rope has its elastic limit.Abseiling rope is used basically for climbing or descending purposes so this type of rope must be of quite good quality and it must bear maximum possible weight. We test it just to check the elastic limit of the rope so that the rope shouldnot increase its elastic limit and it doesnot break when we use it.
A hiker walks 3.3km at an angle of 40 degrees north of west. Then, the hiker walks 3.4km at an angle of 60 degrees north of west. What is the hiker's total displacement
Answer
6.6 km
The description of the problem is shown in the attached figure, where the line "d" represents the final displacement vector.
First, the trekker walked 3.3km in a 40 ° direction, as shown in the figure. We can write this vector in its Cartesian coordinates:
[tex]-3.3sin (40)x + 3.3cos (40)y[/tex]
Then the hiker walked 3.4 km in a 60 degree northwest direction.
We can write this as a vector in its Cartesian coordinates:
[tex]-3.4sin (60)x + 3.4cos (60)y[/tex].
When adding this two vectors we will obtain the final displacement "d"
[tex]d = [- 3.3sin(40) -3.4sin (60)]x + [3.3cos(40) + 3.3cos (60)]y\\[/tex]
[tex]d = -5.07x +4.23y\\[/tex]
To obtain the magnitude of this vector we calculate its module:
[tex]\sqrt{5.07 ^2 +4.23 ^ 2}[/tex]
Then the magnitude of the final displacement was:
6.6 km
Which is an effect of gravity on objects on the surface of Earth? Check all that apply.
• Objects “fall” toward the center of Earth.
• Objects are pulled by Earth but do not pull on Earth.
• Objects accelerate at a rate of 9.8 m/s each second.
• Objects travel at a rate of 9.8 m/s to are the center of Earth.
• Objects are pulled by Earth more strongly than they pull on Earth.
• Objects “fall” toward the center of Earth. (TRUE)
Since the gravitational force between earth and any object is always along the line joining the centers of two so all the objects near the surface of earth will always feel force towards the centre of the earth due to gravity.
• Objects are pulled by Earth but do not pull on Earth. (FALSE)
Since gravitational force will always follow Newton's III law as per which every action has equal and opposite reaction force so object near the surface of earth will also pull the earth as earth is pulling the object towards the center.
• Objects accelerate at a rate of 9.8 m/s each second. (TRUE)
Since acceleration due to gravity of Earth is 9.8 m/s^2 so here we can say that all objects near the surface of earth will accelerate towards the center of earth at rate of 9.8 m/s^2 due to gravitational pull.
• Objects travel at a rate of 9.8 m/s to are the center of Earth. (FALSE)
Since earth is pulling all objects near its surface with gravitational force so objects can not move at constant speed but it will move with constant acceleration.
• Objects are pulled by Earth more strongly than they pull on Earth. (FALSE)
Since gravitational force will always follow Newton's III law which say every action has equal and opposite reaction so we can say that force due to all objects on earth will be same as the force of earth on the object.
The chart shows data for four heat engines.
Which lists the engines from most efficient to least efficient?
Y, X, W, Z
Z, W, X, Y
Z, X, W, Y
Y, W, X, Z
efficiency of the heat engine is calculated by the formula
[tex]\eta = 1- \frac{T_c}{T_h}[/tex]
here we know that
[tex]T_c [/tex] = cold temperature
[tex]T_h [/tex] = hot temperature
now we will find the efficiency of all
1) for W
[tex]\eta_1 = 1- \frac{T_c}{T_h}[/tex]
[tex]\eta_1 = 1- \frac{120}{620}[/tex]
[tex]\eta_1 = 0.806[/tex]
2) for X
[tex]\eta_2 = 1- \frac{T_c}{T_h}[/tex]
[tex]\eta_2 = 1- \frac{100}{840}[/tex]
[tex]\eta_2 = 0.88[/tex]
3) For Y
[tex]\eta_3 = 1- \frac{T_c}{T_h}[/tex]
[tex]\eta_3 = 1- \frac{300}{900}[/tex]
[tex]\eta_2 = 0.67[/tex]
4) for Z
[tex]\eta_4 = 1- \frac{T_c}{T_h}[/tex]
[tex]\eta_4 = 1- \frac{25}{500}[/tex]
[tex]\eta_4 = 0.95[/tex]
So here most efficient engine is Z and least is Y
so we can arrange it as
Z > X > W > Y
so 3rd option is correct here
Answer:
C.) Z, X,W, Y
How do you know that a sealed calorimeter is a closed system? Because the temperature is conserved Because the masses of the sample and water are equal Because the thermal energy is not transferred to the environment Because the work is done on the test sample
Answer: A sealed calorimeter is a closed system because thermal energy is not transferred to the environment.
A closed system is an isolated system where there is no transfer of energy with its surroundings. Also the system is not subjected to any external force whose source is external to the system.
Answer:C. Because thermal energy has not transferred to the environment.
Explanation:
A cylindrical block of aluminum has a radius 2.5 cm and
length 20 meters. The center of the cylinder has 20 mm of
aluminum removed radially
(A) What is the resistance of this block of material?
(B) What temperature would the aluminum have to be at to have the
same resisttivity as tungsten of the same size and length?
C) How much power is dissipated when 30 amps of is passed through
the cylindrical block using the resistance from part A.
(A) The resistance of the block of aluminum is given by:
[tex]R=\frac{\rho L}{A}[/tex]
where
[tex]\rho[/tex] is the aluminum resistivity
L is the length of the cylinder
A is the cross-sectional area of the cylinder
We already know the aluminum resistivity ([tex]\rho=2.65 \cdot 10^{-8} \Omega m[/tex]) and the length of the cylinder (L=20 m), so we must find the cross-sectional area A, which is given by the difference between the area of the larger cylinder and the area of the radial hole:
[tex]A=\pi (R^2 -r^2)[/tex]
where [tex]R=2.5 cm=0.025 m[/tex] and [tex]r=20 mm=0.02 m[/tex] (assuming that the 20 mm removed radially refers to the radius of the hole).
Therefore, the cross-sectional area is
[tex]A=\pi ((0.025 m)^2-(0.020 m)^2)=7.06 \cdot 10^{-4} m^2[/tex]
Substituting into the initial formula of the resistance, we find:
[tex]R=\frac{\rho L}{A}=\frac{(2.65 \cdot 10^{-8} \Omega m)(20 m)}{7.06 \cdot 10^{-4} m^2}=7.51 \cdot 10^{-4} \Omega[/tex]
(B) The resistivity of the tungsten is [tex]\rho=5.6 \cdot 10^{-8} \Omega m[/tex], so a cylinder of tungsten of the same size would have a resistance of
[tex]R=\frac{\rho L}{A}=\frac{(5.6 \cdot 10^{-8} \Omega m)(20 m)}{7.06 \cdot 10^{-4} m^2}= 1.59 \cdot 10^{-3} \Omega[/tex]
The behaviour of the resistance versus temperature is given by:
[tex]R=R_0 (1 + \alpha \Delta T)[/tex]
where [tex]\alpha[/tex] is a coefficient that for aluminum is equal to [tex]\alpha = 0.004308[/tex], R0 is the resistance of the piece of aluminum we found at point (A), and R is the resistance of the tungsten. Re-arranging the formula and substituting, we find
[tex]\Delta T = \frac{R/R_0 -1}{\alpha}=\frac{\frac{1.59 \cdot 10^{-3} \Omega}{7.51 \cdot 10^{-4} \Omega}-1}{0.004308}=259.3^{\circ}C[/tex]
So, the temperature must increase by 259.3 degrees.
(C) The power dissipated is given by:
[tex]P=I^2 R[/tex]
where I=30 A is the current. Substituting the numbers into the formula, we find
[tex]P=(30 A)^2 (7.51 \cdot 10^{-4} \Omega)=0.68 W[/tex]
The diagram shows Ned’s movement as he left his house and traveled to different places throughout the day. Which reference point should be used to find out how far Ned traveled when he went from the pet store to the swimming pool?
The pet store would be the reference point because it is where he started and it will not move. Hope this helped.
The pet store would be the reference point because it is where he started motion and it will not move.
What is motion?The phenomenon of an item changing its position with respect to time is known as motion in physics. In mathematics, displacement, distance, velocity, and acceleration are used to explain motion.
A reference point is a location or object that is used as a point of comparison to ascertain whether something is moving. When an object shifts in relation to a fixed point, it is said to be in motion. Good reference points are things that are fixed in relation to Earth, like a building, a tree, or a sign.
The pet store would be the reference point because it is where he started motion and it will not move.
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Please help me with this physics prooblem
Take the missile's starting position to be the origin. Assuming the angles given are taken to be counterclockwise from the positive horizontal axis, the missile has position vector with components
[tex]x=v_0\cos20.0^\circ t+\dfrac12a_xt^2[/tex]
[tex]y=v_0\sin20.0^\circ t+\dfrac12a_yt^2[/tex]
The missile's final position after 9.20 s has to be a vector whose distance from the origin is 19,500 m and situated 32.0 deg relative the positive horizontal axis. This means the final position should have components
[tex]x_{9.20\,\mathrm s}=(19,500\,\mathrm m)\cos32.0^\circ[/tex]
[tex]y_{9.20\,\mathrm s}=(19,500\,\mathrm m)\sin32.0^\circ[/tex]
So we have enough information to solve for the components of the acceleration vector, [tex]a_x[/tex] and [tex]a_y[/tex]:
[tex]x_{9.20\,\mathrm s}=\left(1810\,\dfrac{\mathrm m}{\mathrm s}\right)\cos20.0^\circ(9.20\,\mathrm s)+\dfrac12a_x(9.20\,\mathrm s)^2\implies a_x=21.0\,\dfrac{\mathrm m}{\mathrm s^2}[/tex]
[tex]y_{9.20\,\mathrm s}=\left(1810\,\dfrac{\mathrm m}{\mathrm s}\right)\sin20.0^\circ(9.20\,\mathrm s)+\dfrac12a_y(9.20\,\mathrm s)^2\implies a_y=110\,\dfrac{\mathrm m}{\mathrm s^2}[/tex]
The acceleration vector then has direction [tex]\theta[/tex] where
[tex]\tan\theta=\dfrac{a_y}{a_x}\implies\theta=79.2^\circ[/tex]
What would the answer to number 4 be?
Ummm thats not a question buddy...
How does the mass of a bowling ball that has been rolled down the lane affect the kinetic energy? A) The kinetic energy does not depend on the mass of the bowling ball. B) The kinetic energy is increases proportional to the mass of the bowling ball. C) The kinetic energy is decreases proportional to the mass of the bowling ball. D) The kinetic energy is increases proportional to the square of the mass of the bowling ball.
Answer: B) The kinetic energy is increases proportional to the mass of the bowling ball.
Explanation: Kinetic energy is the energy possessed by an object by virtue of its motion.
Kinetic energy is calculated by the formula:
[tex]K.E=\frac{1mv^2}{2}[/tex]
K.E= Kinetic energy
m= mass of object
v = velocity of object
As Kinetic energy is directly proportional to the mass of the object, Kinetic energy increases as the mass of the object increases.
Kinetic energy increases proportional to the square of the velocity.
A scientific law is?
Scientific law is also known as natural law. It imply a cause and effect between the observed elements and always apply under the same conditions .
Scientific law is a statement based on repeated experimental observations that describes some aspect of the Universe.
The term law has diverse usage in many cases (approximate, accurate, broad, or narrow theories) across all fields of natural science (physics, chemistry, biology, geology, astronomy, etc.). Scientific laws summarize and explain a large collection of facts determined by experiment.A scientific law always applies under the same conditions, and implies that there is a causal relationship involving its elements.You are driving up an inclined road. After 2.4km you notice a roadside sign that indicates that your elevation has increased by 160m. What is the angle of the road above the horizontal?
The 'slope' of the road is (rise between two points) / (hotizontal distance between the same two points). Or (rise)/(run). It's also the tangent of the angle between the horizontal and the incline.
In this problem, your 'run' is 2.4 km, and the 'rise' is 160 m.
The slope of the incline is (160) / (2,400) .
That's 0.0667 .
To answer the question, you need to find the ANGLE whose tangent is that same number.
If your calculator has ANY functions on it, then " tan⁻¹ " is the one you want. Key in a number, and " tan⁻¹ " will give you the angle whose tangent is that number.
The angle of the road above the horizontal is found using trigonometry, specifically the tangent function, which is the ratio of the elevation gain to the distance traveled along the road. By applying the arctan function to 160m/2400m, we can calculate the angle of inclination in degrees.
Explanation:The question involves finding the angle of the road above the horizontal when the elevation change and the distance traveled along the road are known. This requires the use of trigonometry to determine the angle, given the rise (elevation change) and run (distance traveled along the road).
To find the angle, we can use the tangent function, which is the ratio of the opposite side to the adjacent side in a right triangle. In this scenario, the rise is 160 m and the run is 2400 m (2.4 km). We need to convert the run into meters to match the units of the rise, making the run 2400 m.
Now we compute the angle θ:
Rise (opposite side) = 160 mRun (adjacent side) = 2400 mTangent of θ = Rise / Run = 160m / 2400mTan θ = 1/15θ = arctan(1/15)Once we calculate the arctan(1/15), we will get the angle of inclination of the road in degrees.
what is the velocity of a dropped object after it has fallen for 3.0 seconds?
The velocity of an object dropped and falling for 3.0 seconds under the influence of gravity and ignoring air resistance will be approximately 29.4 m/s downward.
Explanation:The velocity of an object dropped and falling under the influence of gravity increases with time due to the acceleration caused by gravity. In the absence of air resistance, an object in freefall near the surface of the Earth accelerates downwards at a rate of 9.8 m/s². This means that for every second that passes, the object's downward speed will increase by about 9.8 m/s.
So, if an object has been falling for 3.0 seconds, we can find its velocity using the formula v = gt, where v is velocity, g is the acceleration due to gravity (9.8 m/s² near the surface of the Earth), and t is time. Substituting in our values we get: v = 9.8 m/s² * 3.0 s = 29.4 m/s.
Therefore the velocity of a dropped object after it has fallen for 3.0 seconds would be approximately 29.4 m/s downward.
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A block has a volume of 0.09m3 and a density of 4000kg/m3. What's the force of gravity acting on the block in water
Volume=0.09m³
Density=4000kg/m³
Force=?
Density=mass/volume ⇒mass=volume×density
m=0.09×4000=360kg
Force=mass×accelaration
F=360×9.8
F=3528N
Answer
3,528 N
Explanation
density = mass/volume
ρ = m/v
∴ m = ρv
= 4000 × 0.09
= 360 Kg
Weight is defined as the force that acts on a body and is directed towards the center of the earth.
Weight = mass × acceleration due to gravity
W = mg Where g = 9.8 m/s²
W = 360 × 9.8
= 3,528 N
A motorcycle traveling at 25 m/s accelerates ya a rate of 7.0 m/s2 for 6.0 seconds. What is the final velocity of the motorcycle?
First write down all your known variables:
vi = 25m/s
a = 7.0m/s^2
t = 6.0s
vf = ?
Then choose the kinematic equation that relates all the variables and solve for the unknown variable:
vf = vi + at
vf = (25) + (7.0)(6.0)
vf = 67m/s
The final velocity of the motorcycle is 67m/s.
a train travels 600 km in four hours. what is the speed of the train?
Hello!
To find the speed of the train, we have to divide the distance by the time.
Speed = [tex]\frac{distance}{time}[/tex]
600 / 4 = 150
The speed of the train is 150 km per hour.
If a person is standing still in a moving elevator at 55 mph what is her speed in mph relative to the elevator
We are standing still inside an elevator
So our speed in the frame of elevator is zero
we can write this relative speed as
[tex]v_{pE} = v_p - v_E[/tex]
also we know that speed of the elevator is 55 mph
[tex]v_E = 55 mph[/tex]
now the velocity in relative frame is zero as he is still in the moving elevator while in the ground frame or observing from the ground its velocity will be same as velocity of elevator.
So whenever an object is at rest in a moving frame then its relative velocity with respect to that frame must be ZERO
What was the Great Dark Spot of Neptune?
A. an area with a high concentration of methane
B. a shadow cast by a nearby dwarf planet
C. a windy and powerful storm system
D. a pool of water on the planet's surface
C. a windy and powerful storm system
C. a windy and powerful storm system
in a free body diagram, the force arrows always point what way?
Forces are presented as straight arrows pointing in the direction they function on the body.
The force arrows always points straight arrows.