Answer: The initial velocity of the projectile is 3.1 km/s
Explanation:
There is a problem with the question because we do not know in which direction the projectile travels 70 km.
I will assume that the projectile travels 70 km horizontally, as is the usual case.
I will also assume that 25 seconds after the projectile is fired, it hits the ground.
Suppose that the initial velocity of the projectile is V0, and this velocity V0 can be thought as the hypotenuse of a triangle rectangle, then the x-component and the y-component of the velocity will be the catheti of this triangle rectangle, then we can write:
Vy = V0*sin(25°)
Vx = V0*cos(25°).
Now, the vertical problem does not affect the horizontal one, so we can see only the horizontal case.
Here we don't have any force, then there is no acceleration, then the velocity is constant and it is equal to:
v(t) = V0*cos(25°)
For the horizontal position we can integrate over time to get:
p(t) = V0*cos(25°)*t + p0
where p0 is the initial position, and we can assume that it is equal to zero.
Then:
p(t) = V0*cos(25°)*t
Now we know that in t = 25s, the position is 70km
(because the projectile travelled 70km in 25 seconds) then:
p(25s) = 70km = V0*cos(25°)*25s
Now we can solve this for V0.
V0 = 70km/(cos(25°)*25s) = 3.1 km/s
The initial velocity of the projectile is 3.1 km/s
The thing you can get from this is that we can analyze the vertical problem and the horizontal problem separately (for example, here we only solved the horizontal case and we ignored the vertical one).
Charges of +5C and −9C are at a distance of 1m from each other. Which diagram represents the force between the two charges?
Answer: Well the charges in 9c are positive so 5c is th force between the two making the ansewr
Explanation:
Answer:
C (3RD OPTION)
Explanation:
E2020
What exactly occurs at the alveoli? Explain using blood vessels, diffusion, oxygen, and carbon dioxide in your answer (2-3 sentences)
Answer:
Gas exchange takes place in the millions of alveoli in the lungs and the capillaries that envelop them. Inhaled oxygen moves from the alveoli to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveoli.
Explanation:
Hope this helps :)
Which image shows an example of the strong nuclear force in action?
i think this is the incomplete page that you are showing but the answer is
:-
BA crowbar is used to lift a load of 1200 N by placing it at a distance of 25 cm from the fulcrum.
the force required at 60 cm from the fulcrum to balance the load.
Answer:
500 N
Explanation:
From the question,
Sum of clockwise moment = sum of anti clockwise moment.
F×d = F'×d'.................. Equation 1
Where F = Force applied to lift the load, d = distance, F' = Force required, d' = distance of the required force from the fulcrum
Make F' the subject of the equation
F' = F×d/d'.................. Equation 2
Given: F = 1200 N, d = 25 cm, d' = 60cm.
Substitute these values into equation 2
F' = 1200×25/60
F' = 500 N.
Hence the force required to balance the load is 500 N
A room is 5.0 m long, 4.0 m wide, and 3.0 m high. What is the mass of the air it contains?
Answer:
Here u go
Explanation:
Mass of air in the room m= volume of room×density of air
=(5m×4m×3m)(1.20kgm3)=72kg
Weight of air, W=mg=(72kg)(9.8ms2)=706N.
Answer:
person above is correct, i did the work and got the smae answer
HELP PLZZZ
Which optical devices can form images that are larger than the original
object?
Answer: B- A and C
Explanation:
A P E X
The optical devices uses light. The correct option for the optical devices can form images that are larger than the original object is B i.e A and C.
What is optical device?The device which uses light for the meaningful purpose is called optical devices.
The device which form the images larger than the object are the converging type of lens or mirror.
The lens which is converging is the convex lens denoted by C in diagram and the converging mirror is the concave mirror denoted by A.
Therefore, the correct option for the optical devices can form images that are larger than the original object is B i.e A and C.
Learn more about optical devices.
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For which angle of projection range of projectile is maximum
(a) 40°
(b) 35°
(e) 43°
(d) 48°
Answer:
the correct answer is e
Explanation:
In projectile launching, the range or distance on the x-axis is given by the expression
R = [tex]\frac{v_o^2 \ sin 2 \theta }{g}[/tex]
where v₀ is the initial velocity θ the launch angle.
When analyzing this expression is maximum when the sine function is maximum
sin 2 θ = 1
2θ = sin⁻¹ 1
2 θ = 90
θ = 90/2
θ = 45º
reviewing the answers there are no correct ones since the maximum angle occurs for 45º
if we analyze with these angles we have
θ = 40
sin 2θ = sin 2 40 = 0.98
θ = 35
sin 2 35 = 0.939
θ = 43
sin 2 43 = 0.998
θ = 48
sin 2 48 = 0.994
if we take the written angles the range is maximum for 43º
therefore the correct answer is e
A worker drives a .500kg spike into a rail tie with a 2.50kg sledgehammer. The hammer hits the spike with a speed of 65.0 m/s. If one-third of the hammer's kenetic energy is converted to the internal energy of the hammer and spike, how much does the total internal energy increase?
Answer:
The increase internal energy is 1,760.41[tex]\overline 6[/tex] J
Explanation:
The given parameters of the worker, sledgehammer, and rail line are;
The mass of the spike driven into the rail, m₁ = 0.500 kg
The mass of the sledgehammer, m₂ = 2.50 kg
The speed of the sledgehammer, v = 65.0 m/s
The fraction of the hammers kinetic energy, KE, converted to the internal energy of the hammer and the spike, Δ[tex]E_{internal}[/tex] = 1/3 × KE
Therefore, we have;
The kinetic energy, KE, of the sledgehammer is given by KE = 1/2·m₂·v²
Where;
m₂ = The mass of the sledge hammer = 65.0 m/s
v = The velocity o the sledgehammer
∴ KE = 1/2 × 2.50 kg × (65.0 m/s)² = 5,281.25 J
Therefore;
The increase internal energy, Δ[tex]E_{internal}[/tex] = 1/3 × 5,281.25 J = 1760.41[tex]\overline 6[/tex] J
When a wool cloth is rubbed on the surface of a balloon, it tends to give away electrons causing the surface of the balloon to become :
positively charged
negativity charged
neutrally charged
Answer:
It is negativity charged
Answer:
positively charged
Explanation:
a wool has neutral charges hence when rubbed against a balloon it will generate positive charges
a dogs tail hit a 1.3kg flower vase, knocking it over. the net force on the flower vase over time is shown below
what is the bases speed at t=20 ms?
round answer to two significant figures
note that time is in ms.
Answer: 0.15 m/s
Explanation:
what does "no reference to direction of motion mean"?
Explanation:
its means the quantity in question is a scalar quantity, has only magnitude but no direction, for example. speed,has no reference to direction of motion, since the speed of a body say 5 m/s( the direction of the body has not been stated) but the velocity of a body say 5m/s to the east has a reference to direction of the motion.
That's why velocity is different from speed
A guitar string vibrates 600 times in 2 seconds.
Find its frequency and time period.
Steps Required.
frequency is equal to number of oscillations or vibrations upon time
therefore,
check picture
Three charges lie along the x-axis. One positive charge, q1 = 4.80*10^-18 C, is at x = 3.72 m, and another positive charge, q2 = 1.60*10^-19 C, is at the origin.
At what point on the x-axis must a negative charge, q3, be placed so that the resultant force on it is zero?
Answer:
The third charge needs to be placed at [tex]x \approx 0.57\; \rm m[/tex].
Explanation:
Both [tex]q_1[/tex] and [tex]q_2[/tex] would attract [tex]q_3[/tex].
These two electrostatic attractions need to balance one another. Hence, they need to be opposite to one another. Therefore, [tex]q_1[/tex] and [tex]q_2[/tex] need to be on opposite sides of [tex]q_3[/tex]. That is possible only if [tex]q_3 \![/tex] is on the line segment between [tex]q_1 \![/tex] and [tex]q_2 \![/tex].
Assume that [tex]q_3[/tex] is at [tex]x\; \rm m[/tex], where [tex]0 < x < 3.72[/tex] (in other words, [tex]q_3 \![/tex] is on the line segment between [tex]q_1[/tex] and [tex]q_2[/tex], and is [tex]x\; \rm m \![/tex] away from [tex]q_2 \![/tex].)
Let [tex]k[/tex] denote Coulomb's constant.
The magnitude of the electrostatic attraction between [tex]q_1[/tex] and [tex]q_3[/tex] would be:
[tex]\displaystyle \frac{k\cdot q_1 \cdot q_3}{(3.72 - x)^{2}}[/tex].
Similarly, the magnitude of the electrostatic attraction between [tex]q_2[/tex] and [tex]q_3[/tex] would be:
[tex]\displaystyle \frac{k\cdot q_2 \cdot q_3}{x^{2}}[/tex].
The magnitudes of these two electrostatic attractions need to be equal to one another for the resultant electrostatic force on [tex]q_3[/tex] to be [tex]0[/tex]. Equate these two expressions and solve for [tex]x[/tex]:
[tex]\displaystyle \frac{k\cdot q_1 \cdot q_3}{(3.72 - x)^{2}} = \frac{k\cdot q_2 \cdot q_3}{x^{2}}[/tex].
[tex]\displaystyle \frac{q_1}{(3.72 - x)^{2}} = \frac{q_2}{x^{2}}[/tex].
[tex]\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{q_2}{q_1}[/tex].
[tex]\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{q_2}{q_1} = \frac{1}{30}[/tex].
By the assumption that [tex](0 < x < 3.72)[/tex], it should be true that [tex](x > 0)[/tex] and [tex](3.72 - x > 0)[/tex]. Therefore, [tex]\displaystyle \frac{x}{(3.72 - x)} > 0[/tex].
Take the square root of both sides of the equation [tex]\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{1}{30}[/tex].
[tex]\displaystyle \sqrt{\frac{x^2}{(3.72 - x)^{2}}} = \sqrt{\frac{1}{30}}[/tex].
[tex]\displaystyle \frac{x}{3.72 - x} = \frac{1}{\sqrt{30}}[/tex].
[tex]\sqrt{30}\, x = 3.72 - x[/tex].
Therefore:
[tex]\left(1 + \sqrt{30}\right)\, x = 3.72[/tex].
[tex]\displaystyle x = \frac{3.72}{1 + \sqrt{30}} \approx 0.57[/tex].
Hence, [tex]q_3[/tex] should be placed at [tex]x \approx 0.57\; \rm m[/tex].
A medication given to treat ventricular
tachycardia and ventricular fibrillation
Answer:
Amiodarone
Explanation:
Solar energy heats the surface of the Earth, including the ground, rocks, and even roadways. As the temperature of these surfaces increases, heat energy is released back into the atmosphere, forming a pocket of warm air. As the warm air pocket rises, it is replaced by cooler air. This process is responsible for many of the weather patterns in our atmosphere and is known as
Answer:
convection
Explanation:
I hope this helps
Who created the periodic table
Answer:
Dimitri Mendeleev
In 1869 Russian chemist Dimitri Mendeleev started the development of the periodic table, arranging chemical elements by atomic mass. He predicted the discovery of other elements, and left spaces open in his periodic table for them.
Which of the following is an example of an electromagnetic wave ?
Answer:
Its a wave
Explanation:
THis is one
Answer: a light wave
Explanation: a pex
Simplify the expression in part H. Following the five payments, what is the net change in the loan amount from Qulana's viewpoint?
Answer:
I'm not sure but, this video's pretty cool: gestyy.com/eyRkH2
Explanation:
pretty scary gameplay
Answer:
After five monthly payments, Quiana’s loan amount changes by $1,237.15.
Explanation:
Think of a technology or appliance that you use regularly. Identify the transfers and transformations of energy necessary to operate the technology. Explain your answer
PLZZ
Answer:
Energy conversion
Explanation:
We regularly use automobile which runs on the chemical energy of the fuels such as diesel and petrol, the chemical energy from the fuel would convert into the thermal energy which is used to drive the engine of the vehicle,further the thermal energy converted into the mechanical energy which is used to drive the prime mover of the automobile.
What is thermal energy?It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.
We frequently utilize vehicles that operate on chemical energy from fuels like diesel and gasoline.
This chemical energy is transformed into thermal energy, which drives the engine of the vehicle, and then mechanical energy, which drives the prime mover of the vehicle.
Thus, we can say that the transfers and transformations of energy are necessary to operate the technology.
Learn more about thermal energy from here, refer to the link;
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You come out of a shopping mall one night and look at your car. Your car is painted blue, and the light illuminating the car is yellow. What color does your car appear to you in the yellow light?
a ball rolls from rest down an incline with a uniform acceleration of 4m/s². what is it speed after 8 seconds
Anyone know the answer
1.
Two children sit on a uniform seesaw such that a 400. N child is 2.0 m from the support. How
far from the center should the second child of weight 475 N sit in order to balance the system
if the support is at the center of the plank?
Answer:
The other child must sit the same meters as the N child so they an be balanced.
Explanation:
what are three assumptions of the kinetic molecular theory
help me, what is the shape of solid?
Explanation:
Solids have a definite shape and definite volume.
Answer:
Solids have a definite shape and volume because the particles in them are held together tightly.
Explanation:
Liquids have a definite volume but their particles aren't held together as tightly as solids, so liquids take on the shape of the container they are in. Gases have no definite shape OR volume they just float around because the particles in them are so loose they can take on the shape and volume of any container.
30 PTS NEED THIS FAST
Answer:
the one made from aluminum
Explanation:
fast need answers
Find the amount of force if the body has pressure of 178 Pa on 18 mm²
Answer:
Force = 3.204Newton
Explanation:
Given the following data;
Pressure = 178
Area = 18 mm² to meter = 18/1000 = 0.018 m²
To find the force;
Force = pressure * area
Force = 178 * 0.018
Force = 3.204 Newton.
Carlos uses a rope to pull his car 30 m to a parking lot because it ran out of gas. If Carlos exerts 2,000 N of force to pull the rope, and the rope is at an angle of 15° to the road, how much work did he do? Round your answer to two significant figures.
1.6 × 104 J
3.5 × 104 J
5.8 × 104 J
9.0 × 104 J
Answer:
Explanation:
Remark
The only thing that might trip you up is what to do with the angle. The vertical component of the 15 degrees does no work against anything. So the 15 degrees limits the horizontal force.
The formula is
Work = F * d * cos(15)
The givens are
F = 2000 N
d = 30 m
Cos(15) = 0.9659
Solution
Work = 2000 * 30 * cos(15)
Work = 57,955
Rounded to two places would be 5.8 * 10^4
C
Which of the following statements about open clusters is true? Group of answer choices All stars in the cluster are approximately the same age. There is an approximately equal number of all types of stars in the cluster. All stars in the cluster are approximately the same color. All stars in the cluster have approximately the same mass. All stars in the cluster will evolve similarly.
Answer:
All stars in the cluster are approximately the same age.
Explanation:
An open cluster refers to a group of around a thousand stars such that these stars are surrounded by the nebula. All-stars in the cluster are approximately the same age. Milky Way consists of more than 1000 such open clusters.
Examples of an open star cluster areas follows:
1. Beehive
2. Hyades
3. Pleiades
Which statement accurately describes renewable energy sources?
A. They include fossil fuels and hydroelectric power.
B. They are found in nearly limitless supply.
C. They take millions of years to form and should be used responsibly.
D. They provide the majority of the energy for the United States.
PLS HELP!! I WILL GIVE BRAINLYIST!!
Answer:
A, They include fossil fuels and hydroelectric power.
Explanation:
Hope this helped!!!! :)) <3