Answer:Whenever an object experiences uniform circular motion there will always be a net force acting on the object pointing towards the center of the circular path. This net force has the special form , and because it points in to the center of the circle, at right angles to the velocity, the force will change the direction of the velocity but not the magnitude.
It's useful to look at some examples to see how we deal with situations involving uniform circular motion.
Example 1 - Twirling an object tied to a rope in a horizontal circle. (Note that the object travels in a horizontal circle, but the rope itself is not horizontal). If the tension in the rope is 100 N, the object's mass is 3.7 kg, and the rope is 1.4 m long, what is the angle of the rope with respect to the horizontal, and what is the speed of the object?
As always, the place to start is with a free-body diagram, which just has two forces, the tension and the weight. It's simplest to choose a coordinate system that is horizontal and vertical, because the centripetal acceleration will be horizontal, and there is no vertical acceleration.
The tension, T, gets split into horizontal and vertical components. We don't know the angle, but that's OK because we can solve for it. Adding forces in the y direction gives:
This can be solved to get the angle:
In the x direction there's just the one force, the horizontal component of the tension, which we'll set equal to the mass times the centripetal acceleration:
We know mass and tension and the angle, but we have to be careful with r, because it is not simply the length of the rope. It is the horizontal component of the 1.4 m (let's call this L, for length), so there's a factor of the cosine coming in to the r as well.
Rearranging this to solve for the speed gives:
which gives a speed of v = 5.73 m/s.
Example 2 - Identical objects on a turntable, different distances from the center. Let's not worry about doing a full analysis with numbers; instead, let's draw the free-body diagram, and then see if we can understand why the outer objects get thrown off the turntable at a lower rotational speed than objects closer to the center.
In this case, the free-body diagram has three forces, the force of gravity, the normal force, and a frictional force. The friction here is static friction, because even though the objects are moving, they are not moving relative to the turntable. If there is no relative motion, you have static friction. The frictional force also points towards the center; the frictional force acts to oppose any relative motion, and the object has a tendency to go in a straight line which, relative to the turntable, would carry it away from the center. So, a static frictional force points in towards the center.
Summing forces in the y-direction tells us that the normal force is equal in magnitude to the weight. In the x-direction, the only force there is is the frictional force.
The maximum possible value of the static force of friction is
As the velocity increases, the frictional force has to increase to provide the necessary force required to keep the object spinning in a circle. If we continue to increase the rotation rate of the turntable, thereby increasing the speed of an object sitting on it, at some point the frictional force won't be large enough to keep the object traveling in a circle, and the object will move towards the outside of the turntable and fall off.
Why does this happen to the outer objects first? Because the speed they're going is proportional to the radius (v = circumference / period), so the frictional force necessary to keep an object spinning on the turntable ends up also being proportional to the radius. More force is needed for the outer objects at a given rotation rate, and they'll reach the maximum frictional force limit before the inner objects will.
Explanation:
Which statement is supported by the information in the diagram and table below?
Answer:
a
Explanation:
a
What is the mass of a falling rock if it produces a force of 147 N with an acceleration of 9.8 m/s2?
Answer:
15 kgExplanation:
The mass of the object can be found by using the formula
[tex]m = \frac{f}{a} \\ [/tex]
f is the force
a is the acceleration
From the question we have
[tex]m = \frac{147}{9.8} \\ [/tex]
We have the final answer as
15 kgHope this helps you
20. Show that an acceleration of 0.67 m/s/s is the result if a force of 1000N is exerted on a 1500 kg
car.
Explanation:
Given parameters:
Mass of the car = 1500kg
Force applied = 1000N
Acceleration = 0.67m/s²
Unknown:
Proof that the acceleration will result from the applied force on the car
Solution:
According to newton's second law of motion,
Force = mass x acceleration
So;
Acceleration = [tex]\frac{Force }{mass}[/tex]
Now insert the parameters and solve;
Acceleration = [tex]\frac{1000}{1500}[/tex] = 0.67m/s²
We have shown that the acceleration is 0.67m/s²
Nikolas had an idea that he could use the compressed carbon dioxide in a fire extinguisher to propel him on his skateboard.
Nikolas, the fire extinguisher, and the skateboard have a combined mass of 50 kg. What force would the fire extinguisher have to produce to propel Nikolas if he wanted to accelerate at a rate of 1.2 m/s2? Round your answer to the nearest whole newton.
60 N
Which of Newton’s laws did Nikolas have to use to calculate this force?
Answer:
I'm terrible at explaining so here's a screenshot, please do not listen to the other answer, it is wrong.
- Ripper
Explanation:
Answer:
C is the correct answer !!!
Explanation:
A family decides to travel from
Watsonville, CA to Guadalajara, Mexico
for the holidays. The family has to
travel 2,172 miles. The trip takes them a
total of 39.5 hours. What is their
velocity?
Space-shuttle astronauts experience accelerations of about 35 m/s2 during takeoff. What force does a 75 kg astronaut experience during an acceleration of this magnitude?
Answer:
The answer is 2625 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 75 × 35
We have the final answer as
2625 NHope this helps you
the faster particles move the less kinetic energy they have true or false
Answer:
False
Explanation:
You get more kinetic energy the more the particles and less kinetic energy with less particles
A sample of oxygen gas occupies a volume of 5.0L at 90kPa pressure. What volume will it occupy at 145kPa?
A. 3.10
B. 5.10
C. 7.0
D. 2.5
Answer:
The answer is option AExplanation:
The new volume can be found by using the formula for Boyle's law which is
[tex]P_1V_1 = P_2V_2[/tex]
Since we are finding the new volume
[tex]V_2 = \frac{P_1V_1}{P_2} \\[/tex]
From the question we have
[tex]V_2 = \frac{5 \times 90000}{145000} = \frac{450000}{145000} = \frac{450}{145} \\ = 3.103448...[/tex]
We have the final answer as
3.10 LHope this helps you
in the movie "gravity" - Why did the escape pod get stuck and pulled back?
Answer:
because nono gravity
Explanation:
no gravity
can someone help rn please!! thank you sm!!
What role does a resistor play in an electrical circuit
Answer: It opposes the flow of electrons.
Explanation: just did the quiz on
Answer:
It transforms the electrical energy of the electrons into other forms of energy
Explanation:
did quiz
Annie has 100 mL of honey. The honey has a mass of 145 g. What is the density of the honey?
Answer:
The answer is 1.45 g/mLExplanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\ [/tex]
From the question we have
[tex]density = \frac{145}{100} \\ [/tex]
We have the final answer as
1.45 g/mLHope this helps you
Explain the difference between mass and weight for objects on earth and on the moon
Answer: Gravity causes a change in the mass of objects on earth and the moon.
Explanation:
Because of gravity, the weight of objects lessen, and decrease because of gravity. If you were to drop an object from earth from space, the object would have more mass. Hope that helps.
After running, your friend lies down on a tile floor because he says the "coolness" of the tile transfers to his body. Is this statement true or false?
This is true because the coolness of the tile will transfer to his body.
This is false because the warmth of his body will transfer to the cool tiles.
Answer:
oh this is tricky
Explanation:
this is false because the warmth of his body will transfer to the cool tiles
A high-speed train in Japan travels a distance of 300. kilometers in 3.60 x 103 seconds. What is the average speed of this train? (Turn the time into hours by using a unit conversion)
Answer:
The average speed is 83.3 m/s
Explanation:
NEED HELP IS THERE SOMEONE CAN HELP ME PLS :)
What is thought to make the earth behave as if it contained a huge bar magnet?
If your body were a tall building, your skeleton would be
Jen had an average speed of 2.5 m/s when hopping on one foot. If she hopped for 5.0 seconds, for what distance was she hopping?
Explanation:
distance
speed =_________
time
distance = speed × time
= 2.5 × 5.0
distance = 12.5 m
Name three examples of vortices.
don't lie or else ill report
Answer:
The solutions found include vortex rings, bounded vortices attached to the sphere and infinite vortex tubes.
Explanation:
You are taking an image of a patient who is in extreme discomfort while participating in the CT scanning process. Which of the following qualities must you exhibit to obtain a clear and accurate image? O communication skills O interpersonal skills o detail oriented physical endurance
Answer:
Interpersonal skills
Explanation:
Answer:
The right answer is interpersonal skills
Explanation:
give the other person brainliest they deserve it
Salmon often jump waterfalls to reach their breeding grounds. Starting downstream, 3.04 m away from a waterfall 0.585 m in height, at what minimum speed must a salmon jumping at an angle of 41.7 ◦ leave the water to continue upstream? The acceleration due to gravity is 9.81 m/s 2 . Answer in units of m/s.
Answer:
V₀ = 5.47 m/s
Explanation:
The jumping motion of the Salmon can be modelled as the projectile motion. So, we use the formula for the range of projectile motion here:
R = V₀² Sin 2θ/g
where,
R = Range of Projectile = 3.04 m
θ = Launch Angle = 41.7°
V₀ = Minimum Launch Speed = ?
g = 9.81 m/s²
Therefore,
3.04 m = V₀² [Sin2(41.7°)]/(9.81 m/s²)
V₀² = 3.04 m/(0.10126 s²/m)
V₀ = √30.02 m²/s²
V₀ = 5.47 m/s
The unit of force is the newton (N). One newton is the force required to accelerate a 1-kg object at a rate of 1 m/s2. Suppose each fan supplies a force of 2 N.
Answer:
Explanation:
According to Newton's second law of lmotion
Force = mass × acceleration
Given
Mass = 1kg
Force = 2N
Required
Acceleration of the 2N body
From the formula
Acceleration = Force/mass
Acceleration = 2N/1
Acceleration = 2m/s²
Light travels in a transparent material at 2.5 x 10 m/s. Find the index of refraction of the
material.
We have that for the Question "Light travels in a transparent material at 2.5 x 10 m/s. Find the index of refraction of the material." it can be said that
From the question we are told
Light travels in a transparent material at 2.5 x 10 m/s. Find the index of refraction of the material.
Generally the equation for the index of refraction is mathematically given as
[tex]n=\frac{C}{v}\\\\Therefore\\\\n=\frac{3*10^8}{2.5 * 10 }\\\\n=12000000\\\\[/tex]
Therefore
The index of refraction of the material is
n=12000000
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Two students are discussing gravity. One student says that there is a gravitational attraction between the two
of them. The other student thinks this cannot be true, because he cannot feel any gravitational attraction to
the other student. Which student is correct, and why?
The student says that there is a gravitational attraction between the two of them. This student is correct.
What is gravitational force?The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them, according to Newton's universal law of gravitation.
The gravitational force is weak unless there are massive masses involved. As compared to Earth, humans have relatively low masses, which results in a very small and negligible gravitational force. As a result, although it is tiny and imperceptible, gravitational force exists between two people seated near to one another.
Hence, the student, who says that there is a gravitational attraction between the two of them, is correct.
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Write an equation of the line in slope-intercept form.
1. Which elements would likely have similar properties: two elements in the same group, or two elements in the same period?
2. Fill in the table below with the correct classification of element.
Left side:
Right side:
Zigzag line:
3. Use the periodic table to answer this question: Are the properties of rubidium (Rb) more like those of cesium (Cs) or those of strontium (Sr)? Explain your answer.
4. Use the periodic table at the bottom of the page to identify the elements in the following compounds:
PBS:
KBr:
Rao:
5. Use the periodic table to determine whether each element is a metal or a nonmetal:
Sodium (Na):
Krypton (Kr):
Phosphorus (P):
Answer:
3. Cs, they are in the same group, mainly sharing characteristics.
Explanation:
The elements in the same group have similar properties. The properties of rubidium is similar to those of strontium because, both are in second group.
What are groups in periodic table ?In periodic table, all elements are classified into different periods and groups. The vertical columns in the table is called groups and the horizontal rows are called periods.
The elements in a group have same number of valence electrons and similar chemical and physical properties. For example rubidium and strontium are second group elements and they show similarity in properties.
The elements in the compound, PbS are lead and sulphur and that in KBr are potassium and bromine. Elements in RaO are radium and oxygen. Among the given elements sodium is a metal and krypton and phosphorus are non metals or gases.
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When the energy of a wave increases, what happens to the amplitude?
Answer:
The energy transported by a wave is directly proportional to the square of the amplitude. So whatever change occurs in the amplitude, the square of that effect impacts the energy. This means that a doubling of the amplitude results in a quadrupling of the energy.
Explanation:
When the energy of a wave increases, the amplitude also increases. This is because the amplitude of the wave is directly proportional to the energy of a wave.
What is the amplitude of a wave?The amplitude of a wave may be defined as the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.
It is the principle of physics that when the amplitude of the wave is higher, the energy also gets higher. To summarise, waves carry energy. The amount of energy they carry is related to their frequency and their amplitude. The higher the frequency, the more energy, and the higher the amplitude, the more energy.
Therefore, when the energy of a wave increases, the amplitude also increases. This is because the amplitude of the wave is directly proportional to the energy of a wave.
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Is there more empty space in an atom or
More mass
Alex places 2 cubes side-by-side on a ramp made of wood. Cube #1 is ice and Cube #2 is wood
wrapped with sandpaper. The cubes are the same size and the same mass and are placed at the
same height on the ramp. When Alex released the two cubes, the ice cube slid down the ramp, but
the sandpaper cube did not move. What accounts for this difference?
Answer:
Explanation:
The sandpaper block did not move because the forces of friction and gravity were balanced.
