The problem requires understanding of projectile motion in Physics. One calculates multiple parameters of projectile's path by understanding vertical and horizontal motions independently. The given information can be used to calculate the horizontal range, maximum height, and angle of motion.
Explanation:The subject of this question involves understanding projectile motion. In physics, projectile motion is the motion of an object that is subject only to the acceleration of gravity. It involves two independent one-dimensional motions, one along the vertical axis and one along the horizontal axis.
To solve this problem, we observe the given initial vertical and horizontal velocities after a time 3.0s. Using the equations of motion, we can calculate different parameters asked in the question. The horizontal range of the projectile can be calculated by multiplying the horizontal velocity by the total time the projectile is in the air. The maximum height, speed of motion and the angle of motion just before the projectile strikes the ground can also be calculated using these principles.
Remember, the x and y motions in a projectile are independent, so we must handle them separately. The vertical motion will determine the total time spent in the air, and it will reach zero velocity at its highest point. The horizontal motion, under the absence of air resistance, remains constant.
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The horizontal range of the projectile is 25.2 m. The maximum height above the ground is 7.35 m. The speed of motion just before the projectile strikes the ground is 9.7 m/s. The angle of motion just before the projectile strikes the ground is 29.3 degrees.
Explanation:Using the given information, we can calculate the horizontal range, maximum height, speed of motion just before the projectile strikes the ground, and the angle of motion just before the projectile strikes the ground.
To determine the horizontal range, we need to find the time it takes for the projectile to reach the ground. Since the projectile is observed to have a velocity of (8.4 i^ + 4.9 j^) m/s after 3.0 seconds, we can assume that the time of flight is 3.0 seconds. The horizontal range is then given by multiplying the horizontal component of the velocity by the time of flight, which is R = vx * t = 8.4 m/s * 3.0 s = 25.2 m.
To determine the maximum height, we need to find the time it takes for the projectile to reach its peak. Since the projectile is at ground level initially and at its peak after 3.0 seconds, the time it takes to reach the peak is half of the total time of flight, which is t/2 = 3.0 s / 2 = 1.5 s. The maximum height above the ground is then given by multiplying the vertical component of the velocity at the peak by the time it takes to reach the peak, which is H = vy * t/2 = 4.9 m/s * 1.5 s = 7.35 m.
To determine the speed of motion just before the projectile strikes the ground, we can use the Pythagorean theorem to find the magnitude of the velocity vector. The speed of motion is given by the magnitude of the velocity vector, which is v = sqrt(vx^2 + vy^2) = sqrt((8.4 m/s)^2 + (4.9 m/s)^2) = 9.7 m/s.
To determine the angle of motion just before the projectile strikes the ground, we can use the inverse tangent function to find the angle. The angle of motion is given by the inverse tangent of the vertical component of the velocity divided by the horizontal component of the velocity, which is angle = tan^(-1)(vy / vx) = tan^(-1)(4.9 m/s / 8.4 m/s) = 29.3 degrees.
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Which unit is used to measure mass? A. gram B. pound C. newton D. milliliter
A car has a mass of 1,000 kilograms. The weight of the car is blank newtons. Use g = 9.8 N/kg for gravity.
Answer:
I hope this helps
Explanation:
The thermal energy in a heat engine is used to move a piston. Which best describes why this is possible?
Answer:
the answer is a
Explanation:
just took the test
Instead of clear-cutting land and moving on, a local lumber business decides to start farming trees: cutting some of the trees and planting the fields they have just cut with saplings.
Compared to the old method of clear-cutting, the impact this new strategy will have on the environment is best described as what?
A) Positive, since the lumber company will immediately make more money.
B) Negative, since it is destroying much of the environment.
C) Positive, since it is a sustainable plan to use a renewable resource.
D) Negative, since it is a sustainable plan to use a renewable resource.
The correct answer is - C) Positive, since it is a sustainable plan to use a renewable resource.
The local lumber business, with this move, is doing good both, to the business itself, and to the environment. Since the amount of trees that will be cut, is immediately replaced with saplings that are taken care of, the lumber business is creating a sustainable business for the future, and also it is creating a renewable resource. The environment will also benefit from this, because the lumber business will only use certain amount of wooded area because it will have new wood constantly on the same area it is using, thus they will not have the need to spread out on a larger area and destroy the environment.
Science use SI because it allows them to compare data and communication with each
True
False
How can you use your personal choices to exercise more safely
Personal choices can influence safety in exercise by choosing suitable activities, investing in proper gear, following safety protocols, and utilizing resources like ChooseMyPlate.gov to better analyze and plan diet and physical activity.
Explanation:In order to exercise more safely, personal choices play a crucial role. Firstly, you should consider the aspect of cardiovascular fitness. This involves determining the right form and level of exercise that works for you, considering factors like age and overall health. Engaging in activities that promote cardiovascular health such as brisk walking, swimming, or even biking can significantly improve your quality of life.
Risks associated with exercise such as injuries can be mitigated by investing in proper gear, following recommended safety procedures, and selecting safer routes when biking, for example. If biking doesn't suit you due to cost or storage issues, there are many other activities that can fit personal preferences and situations.
One of the valuable resources that can guide you in making these personalized choices is ChooseMyPlate.gov, which provides extensive information towards a healthy diet and lifestyle. It also includes a tool called SuperTracker that helps you analyze your diet and physical activity.
In conclusion, appropriate personal choices, based on available information, can increase the safety and efficacy of your exercise routine.
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Measuring the size of a specific object might include which pair of SI units? A. gram, second B. candela, mole C. kilogram, ampere D. meter, kilometer
A bug walking on the circular rim of a flower pot completes one lap around the planter in 8.804s. If the radius of the planter is 13.4 cm, how fast was it traveling?
The formula to solve speed is:
Speed = Distance ÷ Time
= Circumference of pot (centimeters) ÷ 8.804 seconds
= 2πr ÷ 8.804 cm/s
= 2(3.14) (13.4) ÷ 8.804 cm/s
= 84.152 ÷ 8.804 cm/s
= 9.5583 or 9.56 cm/s (3 significant digits)
= 0.0956 m/s
What do we call the average motion of moving atoms and molecules in the atmosphere?
summary of newtons 2nd law 5 sentences
True or false:
If an object has twice the size of another object, it has half the weight
If an object has twice the size of another object, it has half the weight. This is false statement. Weight matters on its mass which varies with both volume and density.
What is density?The density of a substance indicates how dense it is in a given area. Mass per unit volume is the definition of a material's density. In essence, density is a measurement of how closely stuff is packed. It is a particular physical characteristic of a specific thing. The Greek scientist Archimedes made the discovery of the density principle. If you are familiar with the formula and the relevant units, calculating density is simple. The letter D can be used to signify density instead of the symbol.
The weight of an object is directly proportional to mass of the object. Mass of any object is product of its volume and density. So, If an object has twice the size of another object, it has half the weight - this is not a true statement.
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The mass of the container holding this table salt is 3G what is the mass of this table salt
How do you get 6? Can you please explain the steps?
Which simple machines combine to make scissors? A. one lever and two wedges B. two levers and two wedges C. one inclined plane and two wedges D. two inclined planes and two wedges
The simple machines that combine to make scissors are two levers and two wedges. The correct option is B.
What is simple machine?A simple machine is a mechanical device which changes the direction and magnitude of a force applied.
For scissor, we need to have two wedges and two levers, so as to make it able to cut the cloth or any other object.
Thus, the correct option is B.
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Which statement describes the relationship between gravitational force and strong nuclear force? (2 points) Select one: a. Strong nuclear force is the stronger force; it is related to weight. b. Gravity is the weaker force; it is related to mass. c. Strong nuclear force is the weaker force; it is related to size. d. Gravity is the stronger force; it is not related to weight.
Answer:
b. Gravity is the weaker force; it is related to mass.
Explanation:
Gravity is the force of gravitational attraction of earth on all objects near its surface
This force on all objects depends on the mass of the objects
This force is given by
[tex]F = \frac{GMm}{r^2}[/tex]
[tex]F = mg[/tex]
so here it is a weak force as it depends on mass and acceleration due to gravity while strong nuclear force is independent of mass and it only depends on the distance between the nuclei.
So as we will change the distance between the nuclei the force between them will change
So here correct answer is
b. Gravity is the weaker force; it is related to mass.
Answer:
b
Explanation:
In Denver, children bring their old jack-o-lanterns to the top of a tower and compete for accuracy in hitting a target on the ground. Suppose that the tower height is h = 7.40 m, and that the bulls-eye is a horizontal distance of d = 3.2 m from the launch point. If the pumpkin is thrown horizontally, what is the launch speed needed to hit the bulls-eye? (Neglect air resistance.)
The launch speed needed to hit the bulls-eye is determined as 2.6 m/s.
How to calculate the launch speed?
The launch speed needed to hit the bulls-eye is calculated by applying the following kinematic equation as shown below.
the time of motion of the pumpkin is calculated as follows;
t = √ (2h / g)
where;
h is the height of fallg is acceleration due to gravityt = √ ( 2 x 7.4 / 9.8)
t = 1.23 s
The launch speed needed to hit the bulls-eye is calculated as;
v = d/t
where;
d is the horizontal distancet is the time of motionv = 3.2 m / 1.23 s
v = 2.6 m/s
What is the acceleration of a vehicle that goes from 35m/s to a stop in 35 s?
Choose two forces and compare and contrast these forces. These must be different forces than used in the prior question. Provide two ways that they are similar and two ways that they are different. You may make a list, write it out, or make a chart.
solving equation for the quantity indicated
A student is trying to calculate the density of an ice cream cone. She already knows the mass, but she needs to determine the volume as well. Which of the following formulas can be used to calculate the volume of the cone?
Answer:
[tex]V = \frac{1}{3}\pi R^2 H[/tex]
Explanation:
Volume of any type of cone is given as
[tex]V = \frac{1}{3}[/tex] (base area) (height)
Now we know that base of the triangular cone is always like a circle of radius R
Now the area of the base is given as
[tex]A = \pi R^2[/tex]
Now in order to find volume let say the height of the cone is H
so volume of the cone is given as
[tex]V = \frac{1}{3}\pi R^2 H[/tex]
What are groups of 1, 2, and 3 examples of on the periodic table?
A. Metals
B. Nonmetals
C. Metalloids
D. Noble gases
The elements in groups 1, 2, and 3 on the Periodic Table are mainly metals, with group 1 elements known as Alkali Metals, group 2 elements known as Alkaline Earth Metals, and group 3 elements are a part of the Transition Metals.
Explanation:The groups of 1, 2, and 3 on the Periodic Table refer to the vertical columns and represent different elements with similar properties due to their electron arrangement. Group 1 elements, excluding Hydrogen, are known as Alkali Metals, which are very reactive metals. Group 2 elements are known as Alkaline Earth Metals, also metals but less reactive than Alkali metals. Group 3 elements form a part of the transition metals, who possess properties of both metals and nonmetals. Thus, your correct answer would be A. Metals.
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In scientific notation, (6.2x10^4)x(3.3x10^2) equals_____? answer should be written 1.0x10^2 exmple
Making model involves creating representations of complex objects or processes to help people study and understand things that be observed directly
True
False
A scientific model doesn't need to be something physical. It can also be mathematical
A collision cart runs off the edge of a lab table that is .95 meters high. How fast did the collision cart leave the tabletop if the cart lands .40 meters from the base of the table?
From the given values we can generate the equations:
x = vx*t
y = 0.95 - 1/2*g*t^2
where x refers to displacement in horizontal direction, y refers
to displacement in vertical direction, and t is time, while vx is velocity of
the cart in the x direction, and g is the acceleration due to gravity = 9.8 m/s^2
At it's landing point we have x = 0.4, y = 0:
0.4 = vx*t
0 = 0.95 - 1/2*9.8*t^2
Therefore combining the equations and
solving:
t = 0.44 s s
vx = 0.91 m/s
A car drives at 30km/h around a roundabout. I still the car accelerating?
Which light interaction explains why you can see things that don’t produce their own light.
Intermolecular forces hold together which of the following?
a) Compounds
b) Charged particles
c) Atoms
d) Molecules
What is the MOST LIKELY effect of deforestation that results from urbanization of an area?
A) Trees will be replaced quickly but by different tree species.
B) There will be less land available for agriculture.
C) There will be an increase in biodiversity.
D) Soil erosion will increase.
Clear-cut logging is a method of cutting down all the trees in a particular area. This type of logging is MOST LIKELY going to effect which earth process?
A) erosion
B) climate
C) weathering
D) mountain building
A. Erosion is the answer
Answer: 1.D) Soil erosion will increase.
Explanation: Deforestation is the phenomena of removal of trees and clear cutting of the forest region so as to obtain the land for urban infrastructure, wood for furniture and for other needs. The deforestation will likely to increase and cause soil erosion due to urbanization. As, trees bind the soil with their roots which prevent the loss of soil due to erosion.
2. A) erosion
Explanation:
A clear cut logging can be define as the removal of the forested land where most of the trees are logged off. The removal of the trees from the roots will directly cause the erosion of the soil due to physical agents such as water and wind. This will deteriorate the quality of soil.
what is the correct description of lactic acid fermentation?
The velocity of an object can be represented by a (n)__________ .
The length of the arrow indicates the ____________ . The arrow points
in the direction of the object’s _________.
The velocity of an object can be represented by an arrow. The length of the arrow indicates the speed of the object . The arrow points in the direction of the object’s movement.
What is velocity ?Velocity is a physical quantity that measures the distance travelled per unit time. Velocity is a vector quantity. Thus it is characterized by a magnitude and direction.
The magnitude of the velocity of an object is called speed. Thus velocity is the rate of speed. The change in speed or direction or in both causes a change in velocity.
The velocity of an object generally represented by an arrow in physics. The length of the arrow indicates the speed of the object . The arrow points in the direction of the object’s movement.
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