Answer:
(3504 m/s, 66°)
The final velocity of the missile is approximately 3504 m/s at an angle of 66 degrees.
Explanation:
We are going to use the horizontal and vertical components of this object since it is in projectile motion.
We are given the initial velocity of the missile; 1350 m/s at an angle of 25 degrees. We are also given the displacement in the x-direction: 23,500 meters at an angle of 55 degrees. The total time of this projectile in motion is 10.20 seconds.
Using this information, we can break up the motion of the projectile into its horizontal and vertical components and solve for the unknown variables [tex]a[/tex] and [tex]v_f[/tex].
Horizontal direction (x):List out the known variables:
[tex]v_i=1350[/tex] [tex]v_f=?[/tex] [tex]\triangle x=23500[/tex] [tex]a=?[/tex] [tex]t=10.20[/tex]Since we have initial velocity, displacement, and time, we can use one of the kinematic equations for constant acceleration that contains these variables, including acceleration, and solve for a:
[tex]\triangle x=v_it + \frac{1}{2}at^2[/tex]We are solving for acceleration in the x-direction, so this equation should be in terms of the x-direction:
[tex]\triangle x_x=(v_i)_x t +\frac{1}{2}a_x t^2[/tex]Let's break up the displacement into its horizontal (x) component:
[tex]23500cos(55)[/tex]Let's break up the initial velocity into its horizontal component:
[tex]1350cos(25)[/tex]Plug these values into the equation and 10.20 seconds for t.
[tex]23500cos(55)=1350cos(25) \cdot t + \frac{1}{2}a_x (10.20)^2[/tex]Solve for [tex]a_x[/tex].
[tex]23500cos(55)=12479.85823+52.02a_x[/tex] [tex]999.1880243=52.02a_x[/tex] [tex]a_x=19.20776671[/tex]The acceleration in the x-direction is about 19.21 m/s².
Now, we can use this acceleration and solve for the final velocity in the x-direction using this constant acceleration kinematic equation:
[tex]v_f=v_i+at[/tex]Use this equation in terms of the x-direction:
[tex](v_f)_x=(v_i)_x+a_xt[/tex]Plug the known values into the equation and solve for [tex](v_f)_x[/tex].
[tex](v_f)_x=1350cos(55)+19.20776671 \cdot 10.20[/tex] [tex](v_f)_x=1419.434733[/tex]The final velocity in the x-direction is about 1419.43 m/s.
Vertical direction (y):This process will be the same as solving for acceleration and final velocity in the x-direction, except this time we will be using the vertical (y) components.
[tex]\triangle x_y=(v_i)_y t +\frac{1}{2}a_y t^2[/tex]Vertical component of initial velocity:
[tex]1350sin(25)[/tex]Vertical component of displacement:
[tex]23500sin(55)[/tex]Plug known values into the equation and solve for [tex]a_y[/tex].
[tex]23500sin(55)=1350sin(25) \cdot (10.20) + \frac{1}{2}a_y (10.20)^2[/tex] [tex]23500sin(55)=5819.453464 +52.02a_y[/tex] [tex]13430.61958=52.02a_y[/tex] [tex]a_y=258.181845[/tex]The acceleration in the y-direction is about 258.18 m/s².
Now let's use the same equation we used previously to solve for the final velocity in the y-direction.
[tex]v_f=v_i+at[/tex]Use this equation in terms of the y-direction:
[tex](v_f)_y=(v_i)_y+a_y t[/tex]Plug known values into the equation and solve for [tex](v_f)_y[/tex].
[tex](v_f)_y=1350sin(25)+258.181845 \cdot 10.20[/tex] [tex](v_f)_y=3203.989472[/tex]The final velocity in the y-direction is about 3203.99 m/s.
Final velocity and direction:The magnitude of the final velocity is the square root of the final velocity in the horizontal and vertical directions squared and added together.
[tex]|v|=\sqrt{(v_f)^2_x + (v_f)^2_y}[/tex]Plug the final velocity in the x and y-directions into the equation.
[tex]|v|=\sqrt{(1419.434733)^2+(3203.989472)^2}[/tex] [tex]|v|=\sqrt{2014794.961+10265548.54}[/tex] [tex]|v|=\sqrt{12280343.5}[/tex] [tex]|v|=3504.332105[/tex]The magnitude of the final velocity is about 3504 m/s. We can solve for the direction of the final velocity by using arccos to find the angle that is formed with the x-axis.
[tex]\displaystyle\theta = cos^-^1 \big{(} \frac{v_x}{|v|}\big{)} }[/tex]Plug in the x-component of the initial velocity and the magnitude of the final velocity of the projectile into the equation.
[tex]\displaystyle \theta =cos^-^1 \big{(}\frac{1419.434733}{3504.332105}\big{)}}[/tex] [tex]\displaystyle \theta = cos^-^1 \big{(} .4050514308 \big{)}}[/tex] [tex]\displaystyle \theta = 66.1056499[/tex]The direction of the final velocity is about 66 degrees.
what feature of the mtvr enables improved stopping control by rapidly adjusting air pressure to the brakes to prevent wheel lockup
Answer:
anti-lock braking system
Explanation:
What is a Biome?
Define biome:
Each biome consists of many ___________________ whose _______________ have adapted to the
small differences in climate and the environment inside the biome.
To understand a world biome you need to know: (list the 4 things below)
1.
2.
3.
4.
Answer: Each biome consists of many habitats whose ecosystems have adapted to the small differences in climate and the environment inside the biome.
1. Most Plant and Animal Species Are Found in the Rainforest Biome.
2. Rainforest Plants Help in the Fight Against Cancer
3. Not All Deserts Are Hot.
4. One-Third of the Earth's Stored Carbon Is Found in Arctic Tundra Soil.
Biome is a regional or global land area that is characterized by the plants, animals and climate in that area.
Each biome consists of many __habits__ whose _ecosystem_ have adapted to the small differences in climate and the environment inside the biome.
To know a biome following things are important:-climatehabitatanimal and plant adaptation human activity.How many biomes are there?Based on temperature and rainfall there are six major biomes:
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Does sound travel faster through steel or oxygen?
Answer:
Steel
Explanation:
Sound waves travel over 17 times faster through steel than through air.
Answer:
Steel
Explanation:
This is because solid objects molecules are more packed together, therefore it travels faster, in which time oxygen by 17 times faster
A player hits a ball with a bat. The action is the force of the bat against the ball.
What is the reaction to this force?
Answer:
Force of the ball against the bat
Explanation:
Newton's third law of motion states that for every action, there is an equal and opposite reaction. When a player hits a ball with a bat, the force the player exerted on the ball through the bat gave the ball a push force in the forward direction. This is an action force. Now that an action has been initiated, there must be a reaction according to Newton's third law of motion. The magnitude of the force on the ball equals the magnitude of the force on the bat. The direction of the force on the ball is opposite to the direction of the force on the ball. The ball will give the bat an equal and opposite force trying to push the bat backward by resisting the impact of the bat. This is the reaction. The ball will only move if the applied force is able to overcome the resisting force by the bat
Where;
is the action force of the bat against the ball.
is the equal and opposite reaction force of the ball towards the ball.
The gravitational force between the Sun and the Earth is about 3.5 x 10²² N.
What would be the value of the gravitational force if the distance between them were quadrupled?
Answer: 2.2 x 10^21
Explanation:
1.)A tank travels at a rate of 10.0 km/hr for 12.00 minutes, then at 15.0 km/hr for 8.00
minutes, then turns 180 degrees at 20.0 km/hr for 12.00 minutes. What is the total
distance covered in km by the tank? What is the average speed for the complete trip in
m/s? What is the change of position of the tank? What is its average velocity?
Given
Equation
Find
Diagram
12.00 min = 0.2 hr
8.00 min = 0.15 hr
Total distance:
(10.0 km/hr) (0.2 hr) + (15.0 km/hr) (0.15 hr) + (20.0 km/hr) (0.2 hr)
= 8.25 km
Average speed:
(10.0 km/hr + 15.0 km/hr + 20.0 km/hr) / 3
= 15 km/hr
Change in position:
(10.0 km/hr) (0.2 hr) + (15.0 km/hr) (0.15 hr) - (20.0 km/hr) (0.2 hr)
= 0.25 km
Average velocity:
(10.0 km/hr + 15.0 km/hr - 20.0 km/hr) / 3
≈ 1.67 m/s
Using your knowledge of the wave nature of sound, EXPLAIN who heard the basketball hit the backboard first, the ESPN cameraman or photographer? Explain your answer.
A - The camera man
B - the photographer under Miami’s goal.
Answer:
I can not see the image, so i will answer in a general way.
As you know, the sound behaves like a wave, this means that the sound needs some time to cover a given distance. An example of this motion can be seen when you drop a little stone in water, and you can see how the waves expand.
This means that the one who will hear the sound first, will be always the one that is closer to the source of the sound, in this case, the sound comes from the ball hitting the backboard, then the one who is closer to the backboard will hear the sound first.
Soccer player kicks a soccer ball with a force of 1300N. the soccer ball hits the player with a force of what
Answer:
The traffic light pulling upward on earth with a 1500 N force.
Explanation:
What is the quantity name for the derived unit kg/m^3?
Please answer quick :)))
For each of the objects below determine the following:
(a) The forces that do work on the object.
(b) The amount of work done by each force.
(c) The net work done on the object.
Justify the shape of energy pyramids
estimate the value of resistances needed to make a variable timer for intermittent windshield wipers: one wipe every 15 s, 8 s, 4 s, 2 s, 1 s. assume the capacitor used is on the order of 3 μf .
The minimum value resistance is 330 kΩ and maximum value resistance is 5000 kΩ.
What is resistance?Resistance is encountered by an electron as it passes through the external circuit's wires and loads. The obstacle to the flow of charge is called resistance. An electron cannot travel in a straight line from one terminal to the next. Instead, a zigzag path is created by several collisions with stationary atoms in the conducting substance. The movement of the electrons is hampered by resistance. Resistance prevents the passage of charge, whereas the electric potential difference between the two terminals promotes it. The combined influence of these two factors determines the rate at which charge flows from terminal to terminal.
Calculations:
θ = R * C
15s --- R = θ / C = 15 / 3x 10^-6 = 5x 10^6Ω----- 5000 kΩ
8s------R = 8 / 3x 10^-6 = 2.7x 10^6 Ω ----------------2700 kΩ
4s------R = 4 / 3x 10^-6 = 1.3x10^6 Ω -------------------1300kΩ
2s------R = 2 /3x 10^-6 = 0.67x 10^6 Ω ------------------670 kΩ
1s -----R = 1 / 3x10^-6 = 0.33x 10^6 Ω---------------------------330 kΩ
Part A
Answer : 330 kΩ ( min)
Part B
Answer: 5000 kΩ (max)
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Complete the following sentences.
mento
When you drop a ball, it falls to the ground,
This happens because the
pulls the ball
towards it with a force called
I
Forces are measured in units called
(Total 3 marks)
a parallel beam of * particles with fixed kinetic energy is normally incident on a piece of gold foil. (a) if 100 * particles per minute are detected at 20 , how many will be counted at 40 , 60 , 80 , and 100
A parallel beam of * particles with fixed kinetic energy is normally incident on a piece of gold foil. (a) if 100 * particles per minute are detected at 20, 20 will be counted at 40, 60, 80, and 100.
What is kinetic energy?In physical science, the dynamic energy of an article is the energy that it has because of its movement. It is characterized as need might have arisen to speed up a body of a given mass from rest to its expressed speed. Active energy is the development energy of an item. Active energy can be moved among objects and changed into different sorts of energy. Nonetheless, it isn't impacted by the climate beyond the article or framework, like air or level. Then again, motor energy is the energy of an item or a framework's particles moving. In spite of expected energy, the dynamic energy of an article is comparative with other fixed and moving items present in its nearby climate.
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Which of the following is the standard (SI) unit of temperature?
Kelvin (K)
Celsius (C)
Farrenheit (F)
None of these
Kelvin (K)
The kelvin (K) is the base unit for temperature of the SI. Kelvin is called the absolute temperature scale because it does not use degrees.
A girl throws a 2 kg rock with a net force of 6 N. What is the acceleration of the rock?
8 m/s2
0.33 m/s
2 3 m/s2
12 m/s2
Answer:
3 m/s2
Explanation:
Took the test
how does extreme pressure affect the volume occupied by a real gas compared to the prediction of the ideal gas law
At extreme pressure, the volume of the real gas will be more compared to the prediction of the ideal gas law.
Ideal Gas Law gives PV = nRT, where
P - pressure of the gas
V - Volume of the gas
R - Gas constant
T- Temperature
n - number of particles
It says that high pressure decreases the volume of the gas occupied.
But ideal gas law fails for real gases. In the case of real gases, the gas molecules interact together and gives rise to its volume when high pressure is applied. The assumptions of Ideal gas law includes that the particles should not be able to interact with each other and it doesn't work at low temperature and high pressure.
So for real gases, extreme pressure increases the volume of the gas which does not agree with the prediction of ideal gas law.
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A car weighing 12,000 N is parked on a 36° slope. The car starts to roll down the hill. What is the acceleration of the car?
Answer: 5.8 m/s squared
Explanation: just got that question lol
When running a long distance during the Texas summer which of the following would happen?
A. an increase in the rate of digestion
B. a decrease in the rate of breathing
C. a decrease in the speed of the plus
D. an increase in the Production of sweat
Answer:
Answer choice D!
Explanation:
When it comes to running during a hot day, the human body responds to extensive periods of heat by producing sweat. Sweat is necessary in order of cooling down the body, so that is why I figured it would be that answer. I hope this helped!
ASAP WILL GIVE BRAINLIEST!!!
During a safety test, a car hits a wall and stops in 0.55 s. The net force on the car is 6500 N during the collision.
What is the magnitude of the change in momentum of the car?
Answer:
The change in momentum of the car is 3575 Kg.m/s
Explanation:
Impulse and Momentum
The impulse (J) experienced by the object equals the change in momentum of the object (Δp).
The formula that represents the above statement is:
J = Δp
The impulse is calculated as
J = F.t
Where F is the applied force and t is the time.
The car hits a wall with a force of F=6500 N and stops in 0.55 s. Thus, the impulse is:
J = 6500 * 0.55
J = 3575 Kg.m/s
The change in momentum of the car is:
[tex]\Delta p= J = 3575\ Kg.m/s[/tex]
The change in momentum of the car is 3575 Kg.m/s
While the Earth is revolving around the sun, less direct sunlight is reaching the Northern Hemisphere than the Southern Hemisphere. What season is it in the Northern Hemisphere? (1 point)
Responses
winter
autumn
spring
summer
Answer:
winter
Explanation:
winter because the sun is not reaching the nothern hemisphere directly so the season inthe nothern hemisphere is winter.
and also it cannot be autumn because autumn is a season for leaves falling.
and also it cannot be spring because spring is the season for growth.
and also it cannot be summer because sumer is the season for the sun rays reaching directly on the earth.
HOPE THIS HELPS.
Suppose you fill two rubber balloons with air, suspend both of them from the same point, and let them hang down on strings of equal length. You then rub each with wool or on your hair so that the balloons hang apart with a noticeable separation between them. Make order-of-magnitude estimates of (b) the charge on each
The charge on each balloon is 100nC or 1.2 × 10^-7 C
Consider two balloons of diameter 0.200m each with a mass of 1.00g hanging apart with 0.0500m separation on the ends of string making angles of 10.0° with the vertical.
The charge on each balloon can be found from
[tex]F_{e} = \frac{k_{e}q^{2} }{r^{2}} \\q = \sqrt{\frac{k_{e}q^{2} }{r^{2}}} \\\\q = \sqrt{\frac{(2\times10^{-3N}(0.25m)^{2}}{8.99\times10^{9}N\cdotm^{2}/C^{2}}\\[/tex]
[tex]q = 1.2\times10^{-7}C[/tex] or 100nC
An electric charge is the property of matter where it has more or fewer electrons than protons in its atoms. Electrons carry a negative charge and protons carry a positive charge. The matter is positively charged if it contains more protons than electrons and negatively charged if it contains more electrons than protons.
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meaning of anode and cathode
Answer:
An anode is an electrode through which conventional current (positive charge) flows into the device from the external circuit, while a cathode is an electrode through which conventional current flows out of the device.
Explanation:
what is 19.2×108 minutes in hours? 3.200×109 h 3.200 times 10 to the power of 9 end power, , , h, 1.152×1011 h 1.152 times 10 to the power of 11 end power, , , h, 3.200×107 h 3.200 times 10 to the power of 7 end power, , , h, 1.152×107 h
Answer: the answer is 3.200×107 h
Explanation:
here's proof, honestly had no idea either so i just guessed, but hope this helps!
Calculate the force of gravity between two objects with a mass 1,000,000kg that are 10m apart
Answer:
F = 0.667 N
Explanation:
Given that,
Masses of two objects, m₁ = m₂ = 1,000,000 kg
The distance between masses, d = 10 m
We need to find the force of gravity between two objects. The formula for the gravitational force is given by :
[tex]F=G\dfrac{m_1m_2}{d^2}\\\\F=6.67\times 10^{-11}\times \dfrac{(1,000,000)^2}{10^2}\\\\=0.667 N[/tex]
So, the force of gravity between two masses is 0.667 N.
a ball initially rolling at 10 m/s comes to a stop in 25 seconds. how far does it travel during this time interval\
Ivy and Violet have measured their Buggy Car to have an average speed of 68.0 cm/s. Ms. Sterling has challenged them to release their car from a specific location such that it reaches a finish line in 4.10 seconds. How far from the finish line (in cm) should Ivy and Violet release the car?
The distance required is 278.8 cm.
What is the speed?The speed is defined as the ratio of the distance covered to the time taken. Speed is a scalar quantity and the direction of the speed is not considered in the calculation.
We have the following information;
Speed of the car = 68.0 cm/s
Time taken = 4.10 seconds.
Speed = distance / time
distance = speed * time
distance = 68.0 cm/s * 4.10 seconds
Distance = 278.8 cm
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A sound wave from a police siren has an intensity of 100.0 W/m² at a certain point; a second sound wave from a nearby ambulance has an intensity level that is 10 db greater than the police siren's sound wave at the same point. What is the sound level of the sound wave due to the ambulance?
The sound level of the sound wave due to the ambulance is 140.
What do you mean by sound?In terms of physics, the sound is a vibration that travels through a transmission medium like a gas, liquid, or solid as an acoustic wave. Sound is the reception of these waves and the brain's perception of them in terms of human physiology and psychology. Only acoustic waves with frequencies between roughly 20 Hz and 20 kHz, or the audio frequency range, can cause a human to have an auditory sensation. These are sound waves with wavelengths ranging from 17 meters (56 ft) to 1.7 millimeters in the air at atmospheric pressure (0.67 in). Ultrasounds are sound waves with a frequency higher than 20 kHz that are inaudible to humans. Infrasound refers to sound frequencies below 20 Hz. Animals of different species have different hearing ranges.
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How has the Michelson-Morley experiment helped present-day scientists?
Michelson-Morley experiment helped present-day scientists by explaining how light travels through space and time.
What is an Experiment?This is referred to as a procedure which is carried out by scientists in other support or refute a hypothesis and an example of such is the Michelson-Morley experiment which helped explain some properties of light.
This experiment was able to explain how light travels in different media and the velocity in which such occurs. It was also discovered that light has a constant speed of light which helped to establish different mathematical relationships between various parameters and helped present-day scientists discover more.
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Abe uses a wheelbarrow to move soil from his garden to a new flowerbed. He exerts an average force of 185 N while pushing the wheelbarrow, and he does 6.1 kJ of work while moving each load of soil. How far is he moving the soil?
Answer:
The distance he moved the soil is 32.97 m.
Explanation:
Given;
force exerted on the wheelbarrow, F = 185 N
work done in moving the soil, w = 6.1 kJ = 6100
The work done in moving the soil is given as;
Work done = force x distance he moved the soil
W = F x d
d = W / F
d = (6100) / (185)
d = 32.97 m
Therefore, the distance he moved the soil is 32.97 m.