A skier with mass m starts at the top of a very large frictionless snowball, with an initial speed close to zero, and skis straight down the side as shown in the figure above
a. Find the magnitude of the normal force exerted on the skier as a function of the angle (αlpha), the skier’s mass m, and the acceleration due to gravity g.
b. At what critical angle αc does the skier lose contact with the snowball?
c. Qualitatively describe the motion of the skier after losing contact with the snowball.
Answers
a. The normal force exerted on the skier as a function of the angle (αlpha), the skier’s mass m, and the acceleration due to gravity g is given by:
N = mg cos(α)
where N is the normal force, m is the mass of the skier, g is the acceleration due to gravity, and α is the angle between the snowball surface and the horizontal.
b. At the critical angle αc, the normal force becomes zero and the skier loses contact with the snowball. We can find αc by setting N = 0 in the equation above and solving for α:
cos(αc) = 0
αc = 90 degrees
This means that when the angle between the snowball surface and the horizontal is 90 degrees, the skier loses contact with the snowball.
c. After losing contact with the snowball, the skier will continue moving in a straight line tangent to the snowball surface with a constant speed. This is because there is no friction to slow down the skier's motion. The skier's trajectory will become parabolic as they move away from the snowball, due to the acceleration due to gravity. The skier will eventually hit the ground if the snowball is on a slope or continue moving in a straight line if the snowball is on a flat surface.
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Related Questions
a mixture containing 9 mol of f2 and 4 mol s is allowed to react. how many moles of f2 remain after 3 mol of s have reacted?
Answers
To determine the number of moles of F2 remaining after 3 mol of S have reacted, we need to consider the balanced chemical equation for the reaction between F2 and S. However, as the equation is not provided, we cannot provide an exact answer.
Assuming a simple stoichiometric ratio, let's consider the balanced equation:
F2 + S -> SF2
Based on this equation, for every 1 mol of S, 1 mol of F2 is required to react. Therefore, if 3 mol of S have reacted, we would expect 3 mol of F2 to have also reacted, assuming the reaction has gone to completion.
Since the initial mixture contained 9 mol of F2, and 3 mol of F2 have reacted along with the 3 mol of S, the remaining number of moles of F2 would be 9 - 3 = 6 mol.
Again, it's important to note that this is a simplified assumption based on a stoichiometric ratio, and the actual balanced equation may differ, which would affect the final result.
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a pilot flying low and slow drops a weight; it takes 2.4 s to hit the ground, during which it travels a horizontal distance of 200 m . now the pilot does a run at the same height but twice the speed. how much time does it take the weight to hit the ground?
Answers
(1) The time does pilot take the weight to hit the ground = 2.4 s
(2) The pilot travel before land = 400 m
Because fall time is proportional to fall height and acceleration due to gravity (g) is constant,
t₁ = t₂
s₁ = initial distance
s₂ = final distance
t₁ = initial time
t₂ = final time
Hence, the time does it take the weight to hit the ground = 2.4 s
The initial distance (s₁) = 200 m, and the pilot does a run at the same height but twice the speed.
So, the pilot travel before land:
s₂ = 2 x s₁
= 2 x 200 m
= 400 m
The question is incomplete, it should be:
There are competitions in which pilots fly small planes low over the ground and drop weights, trying to hit a target. A pilot flying low and slow drops a weight; it takes 2.4 s to hit the ground, during which it travels a horizontal distance of 200 m. Now the pilot does a run at the same height but twice the speed. How much time does it take the weight to hit the ground? How far does it travel before it lands?
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What is the kinetic energy of an object that has a mass of 50. 0 kg and a velocity of 18 m/s? 450 J 900 J 8,100 J 16,000 J.
Answers
The kinetic energy of an object that has a mass of 50.0 kg and a velocity of 18m/s is 8,100J.
KINETIC ENERGY:Kinetic energy refers to the energy of a body due to its motion. The kinetic energy can be calculated as follows:
K.E = ½ m × v²
Where;
K.E = kinetic energy (J)m = mass (kg)v = velocity (m/s)According to this question, an object that has a mass of 50.0 kg and a velocity of 18m/s. The kinetic energy can be calculated as follows:
K.E = ½ × 50 × 18²
K.E = ½ × 16,200
K.E = 8100J.
Therefore, the kinetic energy of an object that has a mass of 50.0 kg and a velocity of 18m/s is 8,100J.
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The buoyant force on a Styrofoam sphere that is 10% submerged in water is smaller that the buoyant force on a metal sphere that is 100% submerged in water, if the two volumes of the sphere are equal.
Answers
The buoyant force on a Styrofoam sphere that is 10% submerged in water is smaller that the buoyant force on a metal sphere that is 100% submerged in water, if the two volumes of the sphere are equal. Because water is incompressible, its density, stickiness, and other properties stay pretty much the same as you go deeper… and so the buoyant force stays the same as well.
What is buoyant force?A fluid's buoyancy, also known as upthrust, opposes the weight of an item that is partially or completely submerged by exerting an upward push. The weight of the fluid on top causes pressure in a fluid column to rise with depth. As a result, the pressure at the bottom of a fluid column is higher than at the top. Similar to this, an object submerged in a fluid experiences greater pressure at its bottom than it does at its top. A net upward force is exerted on the item as a result of the pressure differential. The size of the force equals the weight of the fluid that would otherwise fill the submerged volume of the item, direction, and its magnitude is proportional to the pressure difference.
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if a person were traveling at 1/2 the speed of light, how long would it take them to travel a light-year from their own point of view?
Answers
It would take a human little more than 22 years to cross the same distance if they could move at half the speed of light.
How much time does light need to traverse one second?The speed of light is 300,000 kilometres (186,000 mi) per second. In other words, light covers the same distance in a single second as it would take you to circle the Earth 7.5 times! About one light second separates you from the moon.
What happens if you move at a speed that is half that of light?Even time is a relative concept. This led scientists to conclude that the speed of light is constant and unaffected by the observer.
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A box of cereal with a weight 3. 8 i at ret on the kitchen counter. What i the normal force that the counter exert on the box of cereal?
Answers
The normal force that the counter exert on the box of cereal in upward direction is 3.8 N.
What is normal force?A contact force is a normal force. A normal force cannot be applied between two surfaces that are not in contact. For instance, if a table and a box's surfaces are not in contact, they cannot exert typical pressures on one another.
In contrast, when two surfaces (such as a box and a table) come into contact, they exert a normal force on one another that is perpendicular to the contacting surfaces. The strength of this normal force will be as great as is required to stop the surfaces from piercing one another.
Given:
Weight of the box is 3.8 N.
So, the normal force that the counter exert on the box of cereal is 3.8 N and it acts upwards.
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imagine now that charge 2q is released, and it drifts away from the rest of the charges, which remain fixed in place. what would be the kinetic energy k2q of charge 2q at a very large distance from the other charges?
Answers
A particle with a mass of m/2 and a charge of 2q has kinetic energy of 2K when it is propelled from rest by the same potential difference.
Due to the fact that mass has no impact on kinetic energy, W = K = QV. where charge = Q ,q, V = possible discrepancy, mass and k, m = kinetic energy. The kinetic energy of a particle with a 2q charge and a v potential difference is given by the equation K = QV, where K1 = Q1V1. K¹ = 2Q¹ x V¹ = 2(QV) (QV). Due to K = QV, K1 = 2K is obtained by substituting K = QV into 2(QV). Applying the equation E=(k)(q/r2), If q becomes 2q and r becomes 2r, When an electric charge is present in a specific region of space, its properties are altered and an electric field is generated. The term "electric field" refers to the physical field that surrounds electrically charged particles and acts to either attract or repel other charged particles in the field.
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A wave has a frequency of 6 Hz, how long is the period?
A 6
B 12
C .17
D 36
Answers
Answer:
C.
Explanation:
A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old-fashioned vinyl record. How much torque must the motor deliver if the turntable is to reach its final angular speed in 1.70 revolutions, starting from rest? The turntable is a uniform disk of diameter 30.5 cm and mass 0.220 kg.
Answers
ANSWER:
0.00145 J
STEP-BY-STEP EXPLANATION:
Using the rotational form of the kinematic equation to find α:
\(\omega^2_f=\omega^2_i+2\alpha\theta\)It started form rest:
\(\begin{gathered} \omega^{}_i=0\text{ rad/s} \\ \theta=1.7\text{ rev }=3.4\pi\text{rad} \end{gathered}\)Solving for α:
\(\begin{gathered} \alpha=\frac{\omega^2_f}{2\theta} \\ \alpha=\frac{3.49^2}{2\cdot3.4\pi} \\ \alpha=0.57rad/s^2 \end{gathered}\)The torque is given by the formula,
\(\begin{gathered} \tau=I\alpha \\ \text{for a uniform disk} \\ I=m\cdot\frac{r^2}{2},\text{ along the vertical a}\xi s\text{ in the center.} \\ \text{Therefore,} \\ \tau=m\cdot\frac{r^2}{2}\cdot\alpha,r=\frac{0.305}{2}=0.1525 \\ \text{ replacing} \\ \tau=0.22\cdot\frac{0.1525^2}{2}\cdot0.57 \\ \tau=0.00145\text{ J} \end{gathered}\)Determine the stopping location of the prize wheel. At this moment it is centered on the number 5. It is spinning with an energy of 6.19 J. It is slowing at a rate of 1.800 rad/s/s.
The disk is made from a wood with a density of 478.0 kg/m^3. The disk is 29.0 mm thick and has a radius of 33.0 cm.
Predict the angular displacement it will go through and predict the number on which the wheel will stop. To be safe, you will also get one number the right and to the left of the number you chose.
The wheel will spin clockwise. The wheel goes from 1 to 36.
Answers
Answer:
Thanks for the 50 points. Answer eill be always 29.0m
what are two properties that lead to electromagnetic interactions? pls help I'm so confused and cant find the answer anywhere!!
Answers
Answer:
Electric charge. A fundamental property that leads to the electromagnetic interactions among particles that make up matter.
A bullet of mass 19.6 grams is fired with a speed of 318 meters per second toward a wood block of mass 269 grams initially at rest on a very smooth surface. What is the change in momentum of the bullet if it ricochets in the opposite direction with a speed of 298 meters per second? Answer must be in 3 significant digits.
Answers
The change in the momentum of the bullet can be expressed as,
\(\Delta p=m(u-v)\)Finally, the bullet moves in the opposite direction therefore, final velocity is taken as negative.
Plug in the known values,
\(\begin{gathered} \Delta p=(19.6\text{ g)(}\frac{1\text{ kg}}{1000\text{ g}})(318\text{ m/s-(-298 m/s))} \\ =(0.196\text{ kg)(616 m/s)} \\ \approx12.1\text{ kgm/s} \end{gathered}\)Thus, the change in the momentum of bullet is 12.1 kgm/s.
In creating an accurate scale model of our solar system, Lana placed Earth 1 foot from the Sun. The actual distance from Earth to the Sun is 93,000,000 miles. If the actual distance from Pluto to the Sun is 3,695,950,000 miles, how far from the Sun would Lana need to place Pluto in her model
Answers
Pluto would be placed 39.74 feet far from the Sun.
Astronomers use the gap between Earth and the sun, which is ninety-three million miles, as a new unit of measure called the Astronomical Unit.
Map scale refers to the connection (or ratio) between the space on a map and the corresponding distance on the ground. For example, on a 1:one hundred thousand scale map, 1cm at the map equals 1km on the ground.
The distance between the earth and solar, a = around 150 million km, is defined as one Astronomical Unit (AU). The radius of the solar, the solar is around 700,000 km.
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Find the force of a 240 kg vehicle accelerating at a rate of 4.5 m/s/s when it hits the wall.
Answers
Answer:
1080 Newtons
Explanation:
F = m * a
F = 240kg * 4.5 m/s
F = 1080
An object's period of oscillation can always be used to solve for which 2 points
variable? *
Velocity
Weight
Frequency
Momentum
Answers
Answer:
Frequency
Explanation:
A period is the number of revolutions in a minute.
\( Period = \frac {time}{number \; of \; oscillations}\)
Also, frequency can be defined as number of oscillation per unit time.
Mathematically, frequency is given by the formula;
\( Frequency = \frac {number \; of \; oscillations}{time}\)
Thus, we can deduce that frequency of an oscillation is the inverse of the period (time) of oscillation.
Mathematically, period is expressed as;
\( Period = \frac {1}{frequency}\)
This ultimately implies that, an object's period of oscillation can always be used to solve for frequency.
Please help me!!!!!! It’s due soon
Answers
According to the picture Vector A and Vector B is shown. After the subtraction the vector difference will be Vector A-Vector B are shown in the picture below. We are using the triangle law for this question.
What is Vector?Vector is a quality that shows that shows that a physics term has two main characteristics. It has value and direction both. The addition and subtraction is not usual for this quantity. It has some specific rules to add and subtract.
How can we calculate the subtraction of vectors?Vector is a quantity which have value and direction both. So its subtraction is not going to happen in regular algebraic ways. It has some specific laws. It has mainly two laws that we use,
Triangle Law of Vector.Parallelogram Law of Vector.In these two laws we use the triangle law to subtract the two vectors. Vector A which direction was in fourth quadrant an Vector B which direction is in first quadrant.
After the subtraction we got that the third and the resultant vector was shown in a manner in the picture that makes a perfect triangle.
So according to the discussion we got that, after using the triangle law of subtraction the (Vector A-Vector B) are shown in the picture below.
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If a net horizontal force of 0.8 N is applied to a toy whose mass is 1.2 kg what acceleration is produced?
Answers
Answer:
0.67 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
f is the force
m is the mass
From the question we have
\(a = \frac{0.8}{1.2} \\ = 0.666666...\)
We have the final answer as
0.67 m/s²Hope this helps you
If the scaled-up man now stands on one leg, what fraction of the tensile strength is the stress on the femur?.
Answers
The new cross sectional area and tensile stress is mathematically given as
A=4.8*10^{-4}m^2
X=14:100
Cross sectional area and stress on the femurQuestion Parameters:
To see why this must be so, recall, that the stress on the femur for a man standing on one leg is 1.4%
we scale this man up by a factor of 10 in all dimensions
that a 70 kg person has a femur with a cross-section area
a)
Generally the New cross sectional area is mathematically given as
100A=100*4.8*10^{-4}
A=4.8*10^{-4}m^2
b)
From the initial statement we see that the fraction of the tensile strength is the stress on the femur and will be
\(X=\frac{14}{100}\)
X=14$
X=14:100
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Complete Question
Larger animals have sturdier bones than smaller animals. A mouse's skeleton is only a few percent of its body weight, compared to 16% for an elephant. To see why this must be so, recall, that the stress on the femur for a man standing on one leg is 1.4% of the bone's tensile strength. Suppose we scale this man up by a factor of 10 in all dimensions, keeping the same body proportions. (Assume that a 70 kg person has a femur with a cross-section area (of the cortical bone) of 4.8 x 10-4m², a typical value.)
Part A
Both the inside and outside diameter of the femur, the region of cortical bone, will increase by a factor of 10. What will be the new cross-section area? Express your answer using two significant figures.
Part B
If the scaled-up man now stands on one leg, what fraction of the tensile strength is the stress on the femur?
write out the preamble that's all so ill give crown if you do
Answers
Answer:
We the People of the United States, in order to form a more perfect union, establish justice, insure domestic tranquility, provide for the common defense, promote the general welfare, and secure the blessings of liberty to ourselves and our posterity, do ordain and establish this Constitution for the United States of America.
Explanation:
We the People of the United States, in order to form a more perfect union, establish justice, insure domestic tranquility, provide for the common defense, promote the general welfare, and secure the blessings of liberty to ourselves and our posterity, do ordain and establish this Constitution for the United States of America.
what are effects of high gravity on blood pressure, blood circulatory system, size of lungs, bone fragility and density
Answers
Answer:
Explanation:
On return to Earth, gravity once again “pulls” the blood and fluids into the abdomen and legs. The loss of blood volume, combined with atrophy of the heart and blood vessels that can occur in space, reduces the ability to regulate a drop in blood pressure that happens when we stand on Earth.
If i double the distance between two objects, what happens to their gravitational force?.
Answers
Answer:
When the distance between the two objects is halved, the gravitational force becomes four times.
Explanation:
If the temperature at sea level is 80°F, what is the temperature at 12,000 feet above sea level? View Available Hint(s) 38°F 28°F 0%F 48°F 18°F
Answers
At 12,000 feet above sea level, the temperature is 38°F if the air temperatures at sea level is 80°F.
What does °F refer to in terms of temperature?Daniel Gabriel Fahrenheit, a scientist, initially suggested the temperature measure known as the Fahrenheit scale in 1724. (1686–1736).
The sign for the unit is indeed the letter °F, which stands for degrees Fahrenheit. There are several stories about how he first developed his scale, but according to the first publication, the lower defining point, 0 °F, was chosen as the freezing point of a brine solution that was formed by mixing water, snow, and ammonium chloride (a salt).
His best guess for the normal temperature of a person, which was initially put at 90 °F and later adjusted to 96 °F (around 2.6 °F),The other limit established was lower than the actual value (due to a subsequent revision of the scale).
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GPS (Global Positioning System) satellites orbit at an altitude of 2.1x107 m . You may want to review (Pages 392-398) Find the orbital period. Express your answer using two significant figures VO AXD ? T= h Submit Request Answer Part B Find the orbital speed of such a satellite. Express your answer using two significant figures. ? 3300 m/s Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining
Answers
According to the question the orbital speed of the satellite is 3300 m/s.
What is orbital speed?Orbital speed is the speed at which an object orbits, or revolves around, another object. It is the speed of an object in a circular orbit around a central body, such as a star, a planet, or a moon. The speed of an object in an elliptical orbit is not constant, however, it changes as the object moves closer to, or further away from, the central body.
T = 2π√(a3/μ)
Plugging these values into the equation above, we get:
T = 2π√(2.1x107 m3/3.986x1014 m3/s2)
T = 2.5x104 s
The orbital period of the satellite is 2.5x104 s, or 6.9 hours.
v = 2πa/T
Plugging in the values for a and T, we get:
v = 2π(2.1x107 m)/(2.5x104 s)
v = 3300 m/s
The orbital speed of the satellite is 3300 m/s.
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when light of wavelength 360 nm falls on a lithium surface, electrons are emitted that have a maximum kinetic energy of 1.15 ev.T/F
Answers
The maximum kinetic energy but not the work function, we can conclude that the statement is True.
The kinetic energy of emitted electrons in the photoelectric effect is given by the equation:
KE = hf - φ
Where KE is the kinetic energy, h is Planck's constant, f is the frequency of the incident light, and φ is the work function of the material (the minimum energy required to remove an electron from the surface).
To calculate the maximum kinetic energy, we need to convert the given wavelength of 360 nm to frequency using the equation:
c = λf
Where c is the speed of light and λ is the wavelength. Rearranging the equation, we get:
f = c / λ
Plugging in the values, we have:
f = (3.00 × 10^8 m/s) / (360 × 10^(-9) m)
f ≈ 8.33 × 10^14 Hz
Now, we can calculate the maximum kinetic energy using the equation:
KE = hf - φ
The energy of a photon is given by:
E = hf
Where E is the energy of the photon. We know that 1 electron volt (eV) is equal to 1.6 × 10^(-19) joules. Converting 1.15 eV to joules:
KE = (1.15 eV) × (1.6 × 10^(-19) J/eV)
KE ≈ 1.84 × 10^(-19) J
Now, we can calculate the maximum kinetic energy:
KE = (8.33 × 10^14 Hz) × (6.63 × 10^(-34) J·s) - φ
1.84 × 10^(-19) J = (8.33 × 10^14 Hz) × (6.63 × 10^(-34) J·s) - φ
Since we are given the maximum kinetic energy but not the work function, we can conclude that the statement is True.
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A train can travel at 200 mph. How long will it take you to get to Chicago if it is 1800 miles away?
A. 6 hours
B. 12 hours
C. 15 hours
D. 9 hours
Answers
make a table showing hour one is 200 miles hour two is 400 hours etc
I am having a bit of difficulty with this lab question:
_________________________________________
The passage of an occluded front may be accompanied by widespread precipitation and little temperature change at ground level. This is because occluded fronts are a combination of (1). [one / two / three] cold/cool air mass(es), which shifts a (2). [cold / warm / hot] air mass (3). [aloft / sideways / downwards].
_________________________________________
Currently, I have my answers as follows:
1. two cool/cold air masses
2. warm
3. downwards
Could someone help me out and let me know if I am correct? Thanks!
Answers
This is due to the fact that occluded fronts combine two cold air masses, which causes one of the cold air masses to go downward.
When a warm air mass is sandwiched between two cold air masses, an occluded front occurs. In an occlusion, the warm front passes over the cold front, which dives beneath it.
In a front is obscured, the warm front is fully supplanted by the cold front, in which the warm air masses have completely disappeared. Furthermore, there are frequent shifts in the various weather producing circumstances because of the cold front's relatively low temperature.
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The point around which a lever rotates and that supports the lever and the load is called the ________.
Answers
The point that supports both the load and the effort is the fulcrum.
What is a lever?A lever is a simple machine that is composed of three parts, the parts of the lever are as follows;
LoadEffort FulcrumThe point that supports both the load and the effort is the fulcrum and it is the point around which a lever rotates and that supports the lever and the load.
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How many megabytes does a 30-gigabyte hard drive hold
Answers
Answer:
30,000
Explanation:
1 gig is 1000 megabytes
What is the intensity of a sound wave?
Answers
Acoustic power, also known as sound intensity, is defined as the power transmitted by a sound wave per unit area in a direction perpendicular to that area.
More on sound waveA sound wave is a type of energy that propagates in a medium by adiabatic charging and discharging. Important quantities for describing sound waves are sound pressure, particle velocity, particle displacement, and sound intensity.
Sound waves can be classified into three categories:
Longitudinal waves, mechanical waves, pressure waves.
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what do we call the imaginary band that is centered on the ecliptic and is 18 degrees wide?
Answers
The imaginary band that is centered on the ecliptic and is 18 degrees wide is called the zodiac.
The zodiac is an imaginary arc in the sky that extends approximately 9 degrees on either side of the Sun's apparent path above the celestial sphere, or ecliptic. It is divided into 12 equal parts, each representing a different zodiac sign. Aries, Taurus, Gemini, Cancer, Leo, Virgo, Libra, Scorpio, Sagittarius, Capricorn, Aquarius, and Pisces are among the well-recognized astrological signs.
In astrology, Rashi is important as it is believed to have an impact on the personality traits and physical characteristics of those born under each Rashi. The zodiac is also used as a guide to track the positions of celestial objects, such as the Moon and planets, with respect to Earth.
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