The force = 1.334 x 10⁴ N
Further explanationGravity is a force that arises because of the attraction between objects with mass.
The magnitude of this attraction is proportional to the mass of the object.
The greater the mass of the object, the greater the gravitational force
Relationships can both be stated in
Newton's Gravity Law:
[tex]\rm F=G.\dfrac{m_1.m_2}{r^2}[/tex]
with F = gravitational force, N
G = gravitational constant, 6.67 x 10⁻¹¹ Nm²/kg²
m1, m2 = mass of object, kg
r = distance between two objects. m
m₁= 1 kg
m₂=2 x 10²⁰ kg
r = 1 x 10³ m
The force acting on the smaller object=The force acting on the larger object(Newton's Third Law)
[tex]\tt F=6.67\times 10^{-11}\dfrac{1\times 2.10^{20}}{(1\times 10^3)^2}\\\\F=1.334\times 10^4~N[/tex]
You throw a basketball and a tennis ball across the classroom so that each ball has the exact same momentum. Explain how this is possible given that a basketball has more mass than a tennis ball.
Answer:
It is possible by increasing the speed of the tennis ball by a factor of (Mass of the tennis ball)/(Mass of the basketball)
Explanation:
The momentum of a body = The bod's mass × The body's velocity
Therefore, the momentum of a given mass of an object, such as a tennis ball can be increased by increasing the velocity or speed of the object. Whereby the speed of the ball, v₁, is increased such that the momentum of the basketball and the tennis ball will be the same, is given by the following equation
Mass of the basketball × v₂ = Mass of the tennis ball × v₁
Therefore, v₁/v₂ = (Mass of the tennis ball)/(Mass of the basketball)
Megan is standing on a ladder picking apples in her grandfathers orchard. As she pulls each Apple off the tree, tosses it into a basket that sits on the ground 3.0m below at a horizontal distance of 2.0m from Megan. How fast must Megan throw the apples (horizontally) in order for them to land in the basket
Answer:
2 meters per second
Explanation:
The vector V is at a 72° angle and has a magnitude of 12.
Describe this vector using vector notation (Use the & and symbols.) (6 points)
Question 9
What is the angle of the vector described below? (3 points).
Please answer all questions will mark brainliest and give 5 stars
V=2x+3y
Answer:
Part 1
The vector can be expressed as follows;
r = 12, θ = 72°, ·v = (12, ∠72°), ·v ≈ 3.71·[tex]\mathbf{\hat i}[/tex] + 11.41·[tex]\mathbf{\hat j}[/tex] or
[tex]\mathbf{\cdot v}=\begin{bmatrix}3.71\\ 11.41\end{bmatrix} = \begin{pmatrix}3.71\\ 11.41 \end{pmatrix}[/tex]
Part 2
The angle of the vector is 56.31°
Explanation:
Part 1
The given parameters are;
The direction of the vector = 72°
The vector magnitude = 12
Therefore, the vector can be described in the following forms;
Polar form
1) Direct notation;
r = 12, θ = 72°
2) Ordered set
·v = (12, ∠72°)
Rectangular vector notation;
1) Unit vector notation
·v = vₓ[tex]\mathbf{\hat i}[/tex] + [tex]v_y[/tex][tex]\mathbf{\hat j}[/tex]
Where;
vₓ = 12 × cos(72) ≈ 3.71
[tex]v_y[/tex] = 12 × sin(72) ≈ 11.41
Therefore;
·v ≈ 3.71·[tex]\mathbf{\hat i}[/tex] + 11.41·[tex]\mathbf{\hat j}[/tex]
2) Matrix notation
[tex]\mathbf{\cdot v}=\begin{bmatrix}3.71\\ 11.41\end{bmatrix} = \begin{pmatrix}3.71\\ 11.41 \end{pmatrix}[/tex]
Part 2
The given vector is V = 2·x + 3·y
Therefore, the angle of the vector, θ = tan⁻¹(y/x) = tan⁻¹(3/2) ≈ 56.31°
The angle of the vector = 56.31°.
An object moving with constant acceleration changes speed from 20 mi./s to 60 mi./s in 2.0 seconds what is the acceleration
A 2.1 x 10^3 kg car starts from rest at the top of a driveway that is sloped at an angle of 20 with the horizontal. An average friction force of 4.0 x 10^3 N impedes the car's motion so that the car's speed at the bottom of the driveway is 3.8 m/s. What is the length of the driveway?
Answer:
The length of the driveway is 4.98 m
Explanation:
Given that m = mass of car = 2.1 × 10³ kg, d = length of driveway, f = frictional force = 4.0 × 10³ N, v = velocity of car at bottom of driveway = 3.8 m/s, u = speed of car at top of driveway = 0 m/s (since it starts at rest) and θ = slope of driveway = 20°
The component of the weight of the car along the driveway minus the frictional force = the net force. So,
mgsinθ - f = ma where a = acceleration of the car
a = gsinθ - f/m
substituting the variables, we have
a = 9.8 m/s²sin20° - 4.0 × 10³ N/2.1 × 10³ kg
a = 3.352 m/s² - 1.905 m/s²
a = 1.447 m/s²
a ≅ 1.45 m/s²
Using v² = u² + 2ad, we find the length of the driveway, d. So,
d = (v² - u²)/2a
Substituting the values of the variables, we have
d = (v² - u²)/2a
d = ((3.8 m/s)² - (0 m/s)²)/(2 × 1.45 m/s²)
d = 14.44 m²/s² ÷ 2.9 m/s²
d = 4.98 m
So, the length of the driveway is 4.98 m
The length of the driveway on which the car is moving is 5 m.
The given parameters;
mass of the car, m = 2,100 kgangle of inclination, θ = 20⁰frictional force, F = 4000 Nspeed of the car, v = 3.8 m/s.The net horizontal force on the car is calculated as follows;
[tex]mgsin \theta - F = ma\\\\a = \frac{mgsin \theta - F}{m} \\\\a = \frac{(2100 \times 9.8 \times sin \ 20) - 4000}{2100}\\\\a = 1.45 \ m/s^2[/tex]
The length of the driveway is calculated as follows;
[tex]v^2 = u^2 + 2as\\\\s = \frac{v^2 - u^2 }{2a} \\\\s = \frac{3.8^2 - 0}{2\times 1.45} \\\\s = 5 \ m[/tex]
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What was the first iphone
Answer:=Phone 2G
Explanation:
Answer:
model=A1203
Explanation:
it was the first iPhone invented by apple sync
Jared would describe a square as having four equal sides and four right angles. This is Jared’s __________ of a square. A. model B. hierarchy C. feature D. concept Please select the best answer from the choices provided A B C D
Answer:
d
Explanation:
Jared would describe a square as having four equal sides and four right angles. This is Jared’s conceps of a square.
What are squares?A square has four equal sides, four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.
Many objects can be found in your surroundings that have a square shape. The chessboard, craft sheets, bread slice, picture frame, pizza box, wall clock, etc. are typical instances of this shape.
A square is a two-dimensional closed shape with 4 equal sides and 4 vertices. Its opposite sides are parallel to each other. We can also think of a square as a rectangle with equal length and breadth.
Therefore, Jared would describe a square as having four equal sides and four right angles. This is Jared’s conceps of a square.
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The question is “Which direction will the airplane move” plz help :,)
From the information in the picture, it's not possible to select any of the choices on the list.
-- Knowing the horizontal and vertical forces on the plane, we can't tell what direction it will move. We can only tell what direction it will accelerate.
The net horizontal force is (200N right) - (50N left).
. . . That's 150N to the right, so the plane accelerates to the right.
The net vertical force is (175N up) - (75N down).
. . . That's 100N upward, so the plane accelerates upward.
-- We can't tell the compass direction of the net force, because the picture doesn't tell us the compass direction of the horizontal forces.
What if there's an asteroid with more mass coming towards earth
Why doesn’t the sugar cross the cell membrane and diffuse the way the way does?
Answer:
Although glucose can be more concentrated outside of a cell, it cannot cross the lipid bilayer via simple diffusion because it is both large and polar. To resolve this, a specialized carrier protein called theglucose transporter will transferglucose molecules into the cell to facilitate its inward diffusion.
Explanation:
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L. An arrow is shot at 35° above the horizontal. Its velocity is 52 m/s and it hits the target.
a. What is the horizontal velocity? (Show Work!)
Answer:
The horizontal component of the velocity is approximately 42.6 m/s
Explanation:
The given parameters are;
The speed of the arrow when it was shot = 52 m/s
The angular direction in which the arrow was shot, θ = 35° above the horizontal
The horizontal component of the velocity is found by the resolution if the velocity vector into its components as follows;
The horizontal component of the velocity = Velocity in the x-direction = vₓ
vₓ = v × cos(θ) = 52 × cos (35°) ≈ 42.6 m/s
vₓ = The horizontal component of the velocity ≈ 42.6 m/s
You were in a tog-o-war contest which your team won. Write a letter to your friend that tells why your team won the contest. Remember to include unbalanced forces and net force.
Answer:
Imagine a tug-of-war between you and one
friend. If you are stronger, you apply more
force to the rope. You pull your friend across
the line, and you are the winner! If your friend
is stronger, he might pull you across the line.
Sometimes the forces are equal. Neither you
nor your friend moves across the line. The two
forces are balanced.
3
We say that the net force on an object is the combination of all the forces acting on it. To find the net force of
forces that are acting in the same direction, add them together. For example, if you pull on a box with a force of 25
newtons (N) while your friend pushes the box (in the same direction you are pulling) with a force of 30 N, the net
force applied to the box in that direction is 55 newtons.
4
To find the net force of forces that are acting in opposite directions, subtract the smaller force from the larger
one. If you are pulling on a tug-of-war rope with a force of 40 N, and your friend is pulling with a force of 35 N in
the opposite direction, the net force on the rope is 5 newtons in your direction. You win!
Explanation:
My team won the thug of war contest because we exerted a greater net force than the opponent team.
The letter requested is an informal letter. The letter opens with a heading which contains the writers' address and date.
Universal Model School,
90 Aba Owerri Road,
Aba.
October 22, 2021.
Next is the salutation, for example;
Dear Chris,
Next is the body of the letter, you can begin the first paragraph by asking after his welfare and that of his family and studies.
In the second paragraph, you can let him know that the reason for motion is the action of unbalanced forces. In the thug of war game, each side exerts a force. The team that wins is the team that exerts a greater net force causing the cord to move towards their own side.
The conclusion should have such words as;
Yours Truly,
Your name
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Which of the following is a molecule? *
1.He
2.Be
3.NO
4.Na
please help 25 points!
Select the following statements that apply to velocity.
a. Velocity is a vector quantity.
b.Velocity is a scalar quantity.
c. Velocity is the same thing as speed.
d.Velocity is speed with net force.
e. Velocity is speed with direction.
a) Velocity is a vector quantity
e) Velocity is a speed with direction
=================================================
Explanation:
If we know the velocity of an object, then we know how fast it's going (speed) and where it's going (direction). It is a vector because the direction of the vector determines the direction, and the length of the vector (aka magnitude) determines the speed. So in a sense we've built in two facts of data into one visual.
An example of velocity: 10 miles per hour north. Here we have the speed of 10 mph and the direction north.
-------------------
Extra info:
Choice B contradicts choice A, so we can cross choice B off the list.Choice C is false because speed is a scalar, or single quantity, and not a vector. As mentioned earlier, speed is a part of velocity, but they aren't the same exact thing. Choice D is false because the velocity does not account for net force. We don't have any force information built into the velocity.a. Velocity is a vector quantity.
b.Velocity is a scalar quantity. NOT
c. Velocity is the same thing as speed. NOT
d.Velocity is speed with net force. NOT
e. Velocity is speed with direction.
The air inside a room is at a temperature of 35°C and has a mixing ratio of 7.6 g/kg. a) What is the relative humidity? % b) What is the dew point? °C c) If the room temperature decreases by 5°C per hour, how many hours will it take for the air to reach saturation? hours d) After reaching saturation, if the temperature of the room continues to decrease for one more hour, approximately how many grams of water vapor (per kg of air) will ahve had to condense out of the air to maintain a relative humidity of 100%? g/kg
Answer:
(a). The relative humidity is 20.57%
(b). The dew point is 79.114°F
(c). It take for the air to reach saturation is 17 hours.
(d). The water is 7.6g/kg.
Explanation:
Given that,
Temperature = 35°
Mixing ratio = 7.6 g/kg
(a). We need to calculate the relative humidity
Using formula of relative humidity
[tex]relative humidity=\dfrac{mixing\ ratio}{36}\times100[/tex]
[tex]relative humidity=\dfrac{7.6}{36.94}\times100[/tex]
[tex]relative humidity=20.57\%[/tex]
(b). We need to calculate the dew point
Using formula of dew point
[tex]dew\ point=T^{\circ}F-\dfrac{(100-relative\ humidity)}{5}[/tex]
Put the value into the formula
[tex]dew\ point=95-\dfrac{100-20.57}{5}[/tex]
[tex]dew\ point=79.114^{\circ}F[/tex]
(c). If the room temperature decreases by 5°C per hour
We need to calculate the time
Using formula of time
[tex]t=\dfrac{T_{a}-increase\ temperature}{5}[/tex]
Put the value into the formula
[tex]t=\dfrac{95-10}{5}[/tex]
[tex]t=17\ hours[/tex]
(d). If the temperature of the room continues to decrease for one more hour,
We need to calculate the how many grams of water vapor
Using given data
The water of 7.6g/kg vapour will have to condense out of air for the maintain relative humidity at 100%
Hence, (a). The relative humidity is 20.57%
(b). The dew point is 79.114°F
(c). It take for the air to reach saturation is 17 hours.
(d). The water is 7.6g/kg.
Answer:
temp: 35° c (95°f)
MR:7.6
SMR: 36.5
RH: 21% (20.82)
Dew Point: 10° C
5°c per hour: 5 hours for the 35°c air temp to reach the 10°c dew point
1 more hour: Temperature will decrease to 5°c, half the water molecules dewpoint "size" I view it as, and 3.8g/kg of water vapour has condensed out
so
1. 21%
2. 10° C
3. 5 hours
4. 3.8g/kg
PLEASE HELP!!! ILL GIVE BRAINLYEST!!
The Law of Conservation of Matter describes how mass is not lost during a chemical reaction.
True
False
Answer:
i think its false
explanation
In which scenario will the two objects have the greatest gravitational force
between them?
A. Mass of object 1 = 15 kg
Mass of object 2 = 12 kg
Distance between objects = 0.5 m
B. Mass of object 1 = 15 kg
Mass of object 2 = 12 kg
Distance between objects = 1.5 m
C. Mass of object 1 = 12 kg
Mass of object 2 = 12 kg
Distance between objects = 0.5 m
h
O D. Mass of object 1 = 12 kg
Mass of object 2 = 12 kg
Distance between objects = 1.5 m
Ansewer
A
Explanation:
Answer : B
Explanation: Right answer trust me!
The car is moving forward with 10 N of force but the friction of
the road applies 8 N of force in the opposite direction. What
are the combined forces acting on the car?
The modern periodic table is organized by:
atomic number
atomic mass
chemical name
chemical symbol
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Tom has been hired to deliver 11 m3 of sand. If the truck that Tom is driving has a truck bed that is 2.5 m X 1.6 m, X 0.75 m how many trips will Tom need to complete the order?
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Answer:
About 3 trips
Explanation: if we do 2.5m*1.6m*0.75 it equals to 11000 then we divide that to 11m3 and it gives you 3.6 so it will be about 3 times
Thx
joseph is walking to his class at 2 mps his class is 46 meters away. how long will it take joseph to walk to class
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A change in the size or shape of a substance is a _________ change
A. chemical
B. physical
C. material
D. nuclear
PLEASE HELP ME FAST!
Which of these sentences best illustrates visualization using a sequence of events? A. The earthquake sent out a shock waves in all directions. The sea surface is disturbed also. Big waves are formed. These waves travel fast across the sea. They are dangerous and can kill. B. Then, all of a sudden, a strong earthquake strikes off the coast of Alaska, deep down on the seafloor. After this, the seafloor moves up and down. Next the walls and floors of the house is suddenly start to shake. C. Both A and B. D. Neither A or B.
Answer:
Explanation:
C. Both A and B I guess
Answer:
its b
Then, all of a sudden, a strong earthquake strikes off the coast of Alaska, deep down on the sea floor. After this, the sea floor moves up and down. Next, walls and floors of the houses suddenly start to shake.
Explanation:
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Which statement best expresses Newton's second law of motion?
A: The acceleration of an object depends on the balance between the net applied forces.
B: The acceleration of an object depends on the balance between friction and gravity.
C: The acceleration of an object depends on the object's mass and the net applied force.
D: The acceleration of an object depends on the object's mass and its velocity.
Answer:
option C
since F=ma
the acceleration of an object depends on the object's mass and the net applied force
Miguel added 150 grams of baking soda to a liter of water at 20 °C. No matter how long he keeps stirring the solution, he can’t get all of the baking soda to dissolve. Explain why.
Answer:
See the answer below
Explanation:
This is because, at 20 °C, the solution has become saturated with the baking soda.
The solubility of a substance is the maximum amount of that substance that will dissolve in a particular solvent at a given temperature. The solubility of a substance generally increases with an increase in temperature.
At 20 °C temperature, the maximum amount of baking soda that can dissolve in a liter of water has been exceeded by Miguel. Hence, no matter how hard he tries to stir the solution, the excess baking soda will not dissolve.
The reason he can’t get all of the baking soda to dissolve is; because at 20 °C, the solution has become saturated with the baking soda.
What is a saturated solution?For us to say a substance is soluble, it means that the maximum amount of that substance will dissolve in a particular solvent at a given temperature. Thus, the solubility of a substance is said increase with a corresponding increase in temperature.
From the question, at 20 °C temperature, miguel has exceeded the maximum amount of baking soda that can dissolve in a liter of water. Therefore, no matter how hard he tries to stir the solution, it will not dissolve due to the excess soda.
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Riding your skateboard, it takes 12 seconds to speed up from 2 m/s to 8 m/s. Find the acceleration.
Pretest: Waves
18
Select the correct answer.
Which type of wall would make the best soundproofing for room?
OA.
1.0 centimeter thick glass
OB.
two layers of 0.5 centimeter thick glass with 0.5 centimeters of air between them
OC.
two layers of 0.5 centimeter thick glass with 0.3 centimeters of vacuum between them
OD.
1.0 centimeter thick steel
If an astronaut has a mass of 16 Kg on Earth, what would be his mass on the moon and on the space station
Answer:
The astronaut's mass is 16 kg.
Explanation:
Mass can be defined as a measure of the amount of matter an object or a body comprises of. The standard unit of measurement of the mass of an object or a body is kilograms.
Irrespective of the location of an object or a body at a given moment in time, the mass (amount of matter that they're made up of) is constant. This ultimately implies that, whether you're in the moon, space, earth or any other place, your mass remains the same (constant).
Therefore, if an astronaut has a mass of 16 Kg on Earth, his mass on the moon and on the space station would remain the same, as his original mass of 16 Kg because mass is indestructible.
Which of these causes summer in the northern hemisphere?
The Sun is closer to Earth during the summer.
The northern hemisphere receives more direct sunlight during the summer.
Earth's northern axis is tilted away from the Sun during the summer.
The North Pole is tilted away from the Sun during the summer.
Answer:
The northern hemisphere receives more direct sunlight during the summer.
Consider a double Atwood machine constructed as follows: A mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. The other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. Using two suitable generalized coordinates, set up the Lagrangian and use the Lagrange equations to find the acceleration of the mass 4m when the system is released. Explain why the top pulley rotates even though it carries equal weights on each side.
