Referring to the above diagram, if the incline on the right has a slope of 5 cm of rise for each 2 cm of run, what distance will the ball travel horizontally on the incline to the right?
options are:
A: 10cm
B: 20cm
C: 8cm
D: no way to tell
Why must scientists often deal with politics?
Answer:Governments can pass laws about scientific research
Explanation:
A dart is thrown at some speed v at 45° above the horizontal, with the aim of hitting the bull's eye of a dartboard located 2.5 m away. if the dart leaves the hand of the player at a height located 20 cm below the bull's eye, at what speed v must the dart be thrown?
Final answer:
To hit a target 2.5m away and 20cm above the release point, the dart must be thrown at a speed of approximately 4.95 m/s when launched at a 45° angle. This is derived using projectile motion equations, catering to the horizontal range and maximum height.
Explanation:
To find the initial speed v at which a dart must be thrown at a 45° angle to hit a target 2.5m away, positioned 20cm above the release height, we can use the projectile motion equations. Due to the symmetry of projectile motion at a 45° launch angle, where the horizontal and vertical components of initial velocity are equal, we can solve for v using the formula for the range of a projectile and the formula for the maximum height.
Firstly, assuming no air resistance, the horizontal range R is given by R = v^2 × sin(2°) / g, where g = 9.8 m/s2 is the acceleration due to gravity. At 45°, sin(90°) is 1, thus R = v^2 / g. Setting R = 2.5m gives us the equation to find v.
For the vertical motion, considering the dart must rise 0.20m above the release height, we use the equation y = vy^2 / (2g), where vy is the vertical component of v. Since vy = v × sin(45°), and sin(45°) = sqrt(2)/2, this simplifies the calculation. However, due to the symmetry of the problem, both components contribute equally to achieving the required range and height. Thus, solving the range equation gives us the necessary initial speed directly.
Plugging 2.5m into the range equation R = v^2 / g and solving for v, we find that v = sqrt(R × g). Hence, v = sqrt(2.5 × 9.8), which calculates to approximately 4.95 m/s. Therefore, the dart must be thrown at a speed of roughly 4.95 m/s to hit the bull's eye.
(i) a force of 35.0 n is required to start a 6.0-kg box moving across a horizontal concrete floor, (a) what is the coefficient of static friction between the box and the floor? (b) if the 35.0-n force continues, the box accelerates at 0.60 m/s2. what is the coefficient of kinetic friction?
a. The force applied would be equal to the frictional force.
F = us Fn
where, F = applied force = 35 N, us = coeff of static friction, Fn = normal force = weight
35 N = us * (6 kg * 9.81 m/s^2)
us = 0.595
b. The force applied would now be the sum of the frictional force and force due to acceleration
F = uk Fn + m a
where, uk = coeff of kinetic friction
35 N = uk * (6 kg * 9.81 m/s^2) + (6kg * 0.60 m/s^2)
uk = 0.533
The coefficient of static friction between the box and the floor is 0.60
The value of coefficient of kinetic friction is 0.061
Given data:
The magnitude of force to start the box is, F = 35.0 N.
The mass of box is, m = 6.0 kg.
The magnitude of acceleration is, [tex]a = 0.60 \;\rm m/s^{2}[/tex].
(a)
The force due to static friction is given as,
[tex]f = \mu mg[/tex]
Here, [tex]\mu[/tex] is the coefficient of static friction.
Solving as,
[tex]35.0= \mu \times 6 \times 9.8\\\mu \approx 0.60[/tex]
Thus, the coefficient of static friction between the box and the floor is 0.60.
(b)
If box accelerates, the frictional force comes to play to oppose the motion. Therefore,
[tex]f = F\\\mu_{k} \times m\times g = ma\\\mu_{k}\times g = a\\\mu_{k}\times 9.8 = 0.60\\\mu_{k} = 0.061[/tex]
Thus, the value of coefficient of kinetic friction is 0.061.
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A particles move 4m east, then 2m west. calculate the total distance and the displacement of the particles
What did galileo discover in his legendary experiment on the leaning tower of pisa?
A passenger at the rear of a train traveling at 15 m/s relative to earth throws a baseball with a speed of 15 m/s in the direction opposite the motion of the train. what is the velocity of the baseball relative to the earth as it leaves the thrower’s hand?
Answer:
0
Explanation:
What happens if there is air in the needle?
The weight of the space shuttle is about 4.5 million pounds. How many people would it take to move it? Answer in units of people.
Assuming that they are
pulling the space shuttle straight up, and that this is done on the surface of
the earth, where gravity is equal to 9.8 m/s^2. So taking the average pull force
of a person to be 110 kg, then:
110 kg/person * 9.8 m/s^2 = 1078 kg*m/s^2, or 1078 N/person
(Newtons).
1 Newton is about 0.225
lb. So, 1078 N/person * 0.225 lb/N = 242.34 lb/person.
So if the space shuttle weighs 4,500,000 lb, then it would
take 4,500,000 lb / (242.34 lb/person) = 18,569 people.
Answer:
18,569 people
The magnitude of the vectors f~ is 27 n, the force on the right is applied at an angle 58◦ and the the mass of the block is 54 kg. 54 kg f 58 ◦ f if the surface is frictionless, what is the magnitude of the resulting acceleration? answer in units of m/s 2 .
The magnitude of the resulting acceleration is 0.265 m/sec².
What is acceleration?The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.
The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.
Given the magnitude of the vectors f~ is 27 n, the force on the right is applied at an angle 58◦ and the the mass of the block is 54 kg. 54 kg f 58 ◦ f if the surface is friction less,
F cos(58) = ma
14.30 = 54.a
a = .265 m/sec²
The magnitude of the resulting acceleration is 0.265 m/sec².
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Explain how the existence of isotopes is related to atomic masses not being whole numbers
Isotopes, which are atoms of the same element with different numbers of neutrons, cause atomic masses to be non-whole numbers since atomic mass is a weighted average of the isotope masses based on their abundances.
Explanation:The existence of isotopes is directly related to atomic masses not being whole numbers. Isotopes are atoms of the same element with the same number of protons but different numbers of neutrons, leading to different mass numbers. The atomic mass of an element is the weighted average of the masses of its isotopes, based on their relative abundance. This is why atomic masses on the periodic table are not whole numbers.
For example, chlorine has two main isotopes with mass numbers of 35 (17 protons and 18 neutrons) and 37 (17 protons and 20 neutrons). The atomic mass of chlorine is 35.45, which reflects the weighted average of these isotopes, with the more abundant isotope having a greater influence on the final atomic mass.
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A tennis ball, a bowling ball, and a feather are dropped from the top of a tall building at the same time. Consider what you have learned about air resistance. Which object reaches the ground first?
The density of a sample can be obtained by dividing its __________ by its _______________.
An object is suspended from the ceiling with two wires that make an angle of 40° with the ceiling. The weight of the body is 150 N. What is the tension in each wire?
Answer: 117
Explanation:
What is the net force on a bright red mercedes convertible traveling along a straight road at a steady speed of 100 hm/h?
How many moons does planet Neptune have
Neptune is eighth the farthest planet from the Sun. It is about 2.8 billion miles (4.5 billion km) away. Neptune appears to look blue because of the gas in its atmosphere. Neptune has at least 14 known moons. Triton is Neptune's largest moon. Triton has volcano-like eruptions that burst from openings in the surface.
Is there a correlation between moonrise and high tide?
1. It is common for people to face divorce, job layoffs, and debt at which of the following stages of life?
a. middle years
b. young adulthood
c. later middle years
d. older years
2. As we proceed on our life course, the events we experience are largerly influenced by
a. our social location and time period in which we were born.
b. our biological makeup
c. the type of groups we associate with when we become adults
d. our early childhood socialization.
The correct choice is (C) later middle years
Explanation:Later middle years is almost 30 to 40 years of a person's life. It is the most critical period of life because every person wants to get a successful life i this stage. We marry in this age and due to certain failures people get divorced too. Some people lose their jobs due to various reasons and many people also suffer from high debts because they want to stabilize themselves by starting a business if they don't get a suitable job.
Answer 2:The correct answer is (C) the type of groups we associate with when we become adults
Explanation:It is better said that a man is known by the company he keeps. So therefore it is a proven fact that all people are mostly influenced by their friends and social circle where they spend most of their time. The life style that we get and the behavior that we show is dependent upon the social circle and family members where we live. Therefore as we move in our lives the events we experience are largely influenced by the type of groups we associate with when we become adults
The variable that the experimenter decides to change to see if there is or is not an effect is the Independent Variable.
True
False
What particles are responsible for nearly all the mass of an atom?
SELECT ALL THE CORRECT ANSWERS
a strong magnetic field surrounds Earth. How does Earth’s magnetic field help humans?
a. it holds people’s belongings thigh to the Earth’s surface.
b. it’s responsible for cycling water through Earth’s four spheres.
c. it keeps the solar wind from reaching Earth.
d. it helps people navigate using a compass.
e. it helps cool Earths surface.
Earth's magnetic field protects from solar wind, aids navigation with a compass, and creates the Aurora Borealis. the correct options are c & d.
Earth's magnetic field protects humans from harmful solar wind by deflecting most of it, preventing damage to life on Earth. The magnetic field also aids navigation through the use of a compass, guiding people in finding direction accurately.
The Aurora Borealis, or Northern Lights, is an awe-inspiring light display resulting from disturbances within Earth's magnetic field caused by solar storms.
What is the purpose of strip cropping? a. prevent soil erosion b. maintain nutrient levels c. reduce plant disease d. all of the above
The purpose of strip cropping is to prevent soil erosion.
What is strip cropping?Strip cropping involves cultivating a field partitioned into long, narrow strips following the natural contours of the terrain to prevent wind and water erosion of the soil.
Apart from improving fertility of soil, strip cropping reduces soil erosion. Due to the strip of soil in between the crops, erosion of wind and water is prevented as the strip in between serves as a break in the movement of both water and wind.
What is soil erosion?Soil erosion is a process of movement and transport of the upper layer of soil also called topsoil by different agents particularly water, wind, and mass movement causing its deterioration in the long term.
Soil erosion decreases soil fertility, which can negatively affect crop yields.
The preventive measures should be taken for soil erosion. Some of them are
Plant trees on barren lands to limit erosion of soil.Preventing excessive grazing.Mulch matting can be used to reduce erosion on the slopes.Prevention of deforestation.Thus, Strip cropping method is used when a slope is too steep or too long, or otherwise, when one does not have an alternative method of preventing soil erosion.
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a ball rolls 6.0 meters as its speed changes from 15 meters per second to 10 meters per second. whaf is the average speed of the ball as it rolls the 10 meters?
The average speed of the ball as it rolls 10 meters is 8.33 meters per second.
Explanation:
The average speed of the ball as it rolls the 10 meters can be found by dividing the total distance traveled by the total time taken. In this case, the ball rolls 6.0 meters while its speed changes from 15 meters per second to 10 meters per second. The time taken to roll this distance can be calculated by using the formula:
Time = Distance / Speed
Substituting the given values:
Time = 6.0 meters / (15 meters per second - 10 meters per second) = 6.0 meters / 5 meters per second = 1.2 seconds
The average speed of the ball is therefore 10 meters / 1.2 seconds = 8.33 meters per second.
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A skipper on a boat notices wave crests passing his anchor chain every 10 s. he estimates the distance between wave crests to be 15 m. he also correctly estimates the speed of the waves. what is this speed?
What heat transfer method usually occurs through movement of hot smoke and fire gases?
A mosquito flies toward you with a velocity of 2.4 km/h [E]. If a distance of 35.0 m separates you and the mosquito initially, at what point (distance and time) will the mosquito hit your sunglasses if you are travelling toward the mosquito with a speed of 2.0 m/s and the mosquito is travelling in a straight path?
First convert the speed of mosquito to m/s:
So the mosquito is flying at (2,400/3,600) m/s, or ⅔ m/s.
Since you are moving at 2m/s, so this makes the closing
velocity between you and the mosquito to be 2⅔ m/s.
a bird flies north with a force of 11N, the air resistance is 2N.show the vectordiagram, with the magnitude and displacement indicated clearly.
This problem involves a bird flying with a force of 11N against an air resistance of 2N. In the vector diagram, the bird's force is represented as an upward arrow of length 11, and the air resistance as a downward arrow of length 2. The net force is 9N, represented by an upward arrow of length 9, which indicates the direction and strength of the bird's motion.
Explanation:In this problem, a bird is flying north with a force of 11N while the air resistance is posing a force of 2N. Given the directions, we should make a vector diagram. A vector is characterized by both magnitude (in this case, the strength of force) and direction. The magnitude is the length of the vector, while the direction shows the way the force is applied.
Let's assume the northward direction is upward. You can represent the bird's motion as an upward arrow of length 11. This represents the 11N force north. The force due to air resistance, being 2N, can be represented as a downward arrow of length 2, indicating it's acting in the opposite direction to the bird's motion.
The net force is the vector sum of these two forces. Since they are in opposite directions, you subtract the smaller from the larger, giving a net force of 9N (11N bird's force - 2N air resistance). This net force can be represented by an upward arrow of length 9, indicating the bird still continues its movement to the north.
The displacement is the distance and direction the bird has moved. This will depend on the time the bird has been flying and is not indicated in the question.
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An inkjet printer's speed is measured in ____. select one:
a. cps
b. pps
c. ppm
d. dpi
An inkjet printer's speed is measured in pages per minute (ppm), which reflects the number of pages the printer can print in one minute.
Explanation:The speed of an inkjet printer is typically measured in pages per minute (ppm). This refers to the number of pages the printer is capable of printing in a single minute. It's important to note that this is an average speed and the actual speed may vary depending on the complexity of the document being printed, the quality settings used, and other factors.
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The speed of an inkjet printer is measured in pages per minute (ppm), not characters per second (cps) or dots per inch (dpi). Thus, the right answer is c. ppm.
Explanation:In the realm of printing technology, the rate at which an inkjet printer can produce output is often denoted by the acronym 'ppm,' which stands for pages per minute. This metric provides a clear indication of the printer's efficiency in generating pages within a specified time frame, making it a widely recognized and practical measure for assessing printer speed.
On the other hand, 'cps,' or characters per second, is a less common unit of measurement and is not typically used to quantify printer speed but rather character-based data transmission or input/output rate in some specific contexts.
Additionally, 'dpi,' which stands for dots per inch, is a distinct and critical measurement parameter related to print resolution rather than speed. It specifies the level of detail and clarity in printed images by quantifying the number of ink or toner dots that can be placed in a linear inch, which is crucial for determining the print quality.
To sum up, when evaluating the swiftness of an inkjet printer's performance, 'ppm' remains the most relevant and widely accepted unit of measurement, while 'cps' and 'dpi' are utilized for different aspects of printer functionality, emphasizing the importance of choosing the appropriate metric for the specific evaluation of printer features.
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Explain how newton's first law of motion can be considered to be a consequence of newton's second law.
What are possible formulas for impulse? Check all that apply.
Impulse is the variance of the momentum of a thing when the thing is operated upon by a force for an interval of time. Following are the possible formulas for impulse as;
Momentum is product of mass and velocity. According to newton’s second law, F =ma is by putting values of acceleration (a = ( vf - vi ) / t. Therefore, F =( m v ) / t. F t = m v and F t is impulse.
J = Ft
J = mv
J = p