The skier(s) who will experienced the strongest force when bumped are the yellow and purple skiers.
What is force?
A force is an effect which has the power to change any object's motion. When a mass-containing object increases its velocity, such as when it travels away from rest, a force can cause it to accelerate. A push or a pull is a straightforward method to explain force. Since a force has both magnitude and direction, it is a vector quantity. It is computed using the SI unit of newton (N). F is used to represent force (formerly P).
The skier(s) who will experienced the strongest force when bumped are the yellow and purple skiers. We can come to these conclusion because they have more mass than the red skier, but they changed speed by the same amount as the red skier did.
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During last week's cross-country invite, Camila navigated a turn on the path that had the shape of a circular arc with a radius of 42.4 m. She made the turn at 7.17 m/s. What was her acceleration on the turn?
Question 19 options:
51.4 m/s/s
1.2 m/s/s
5.9 m/s/s
304.0 m/s/s
The acceleration of the Camila on the turn with a radius of curvature of 42.4 m at a speed of 7.17 m/s is 1.2 m / s / s
a = v² / R
a = Centripetal acceleration
v = Linear velocity
R = Radius
v = 7.17 m / s
R = 42.4 m
a = 7.17² / 42.4
a = 1.2 m / s / s
Centripetal acceleration is the rate of change of tangential velocity of the body moving in a circular path.
Therefore, the acceleration of the car is 1.2 m / s / s
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What is the potential energy of a 300 Newton rock climber standing 100 meters from the base of a rock wall?
The rock possesses potential energy for gravitation. Fundamentally, gravity could cause the rock to tumble.
How are potential energy changes calculated?Height gain (h) and gravitational acceleration (g) serve as symbols for the change in gravitational potential energy (PEg). Any item close to the planet's surface has gravitational potential energy that is determined by its location within the mass-Earth system.
What is a rock's potential energy in that situation?The rock possesses potential energy for gravitation. Fundamentally, gravity could cause the rock to tumble.
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Given the two reactions:
CuCl(s) + Cl- (aq) <=> [CuCl2]- (aq)
K = 5.2x10-2
Cu+ (aq) + 2Cl-(aq) <=> [CuCl2]- (aq)
Kf = 3.0x105
What is the value of Ksp for CuCl?
Answer:
the value of ksp is 7.8×18
HELP PLEASE
2. James throws a rock into a deep well with a velocity of 10.0 m/s [down]. What is the velocity of the rock 2.5 s
Answer:
vf=vi+at
Explanation:
downwards is positive
vf=vi+at
=10+9,8×2,5
=34,5m/s
This is for Physics module 2 question 5
An archer shoots an arrow at a 77.0 m distant target, the bull's-eye of which is at same height as the release height of the arrow.
(a) At what angle must the arrow be released to hit the bull's-eye if its initial speed is 36.0 m/s? (Although neglected here, the atmosphere provides significant lift to real arrows.)
°
(b) There is a large tree halfway between the archer and the target with an overhanging branch 3.50 m above the release height of the arrow. Will the arrow go over or under the branch?
under
over
The arrow be released at an angle of 18 degrees to hit the bull's-eye if its initial speed is 36.0 m/s. The arrow go over the branch.
The path of the arrow is projectile when it is launched by the archer.
The horizontal distance to be covered by the arrow is 77 meters.
The initial velocity is 36m/s while releasing.
(a) We can use the formula,
R = U²sin2A/g
Where,
U is the initial velocity of leopard,
A is the angles at which the leopard jumped.
g is acceleration due to gravity having value 9.8m/s².
Putting all the values,
77 = (36)²sin(2A)/9.8
Sin(2A) = 77×9.8/36×36
Sin(2A) = 0.58
2A = 36°
A = 18°
The angles at which the arrow should be launcher is 18°.
(b) The length of the branch of the tree is 3.5 meters.
Whether is should come it the way or not,
We have to find the height of the arrow.
H = U²Sin(A)/2g.
Where H is the height,
H = 36×36Sin(18°)/2×9.8
H = 36×36×0.3/2×9.8
H = 19.38 meters.
The height of arrow is more than of the height of branch of tree. So it will go over the branch.
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A hummingbird flies forward and backward. Its motion is shown on the above graph of horizontal Position and Time.
What is the total distance the hummingbird travels from t=0 sec to t=12 sec?
A.4m
b.0m
c.1m
d.2m
Answer:
what is the speed of the bird
HELP Momentum quiz
State True or False
1. Concurrent forces give one net resultant force.
2. Newton’s first law of motion is the principle of momentum.
3. In Newton’s second law, F = m * a, F is measured in Newton.
4. Mass and weight are interchangeable.
5. The product of mass and velocity for an object gives us its _______.
6. The force of gravity on an object determines its _______.
(1) Concurrent forces give one net resultant force. (TRUE)
(2) Newton’s first law of motion is the principle of momentum. (FALSE)
(3) In Newton’s second law, F = m * a, F is measured in Newton. (TRUE)
(4) Mass and weight are interchangeable. (FALSE)
(5) The product of mass and velocity for an object gives us its momentum.
(6) The force of gravity on an object determines its weight.
What are concurrent forces?If the forces applied to a body are such that their lines of action meet at a single point, then they are called concurrent forces.
Concurrent forces give one net resultant force. (true)
The Newton's second law of motion states that, the force applied to an object is directly proportional to the change in momentum of the object.
F ∝ Δmv
F = mv/t
F = m(v/t)
F = ma
Newton’s first law of motion is the principle of momentum. (false)
In Newton’s second law, F = ma, F is measured in Newton. This statement is true.
Mass is the quantity of matter contained in a body while weight is the measure of the effect of gravitation force on an object.
Mass and weight are interchangeable. (false)
The product of mass and velocity for an object gives us its momentum.
The force of gravity on an object determines its weight.
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The Italian greyhound jumps 0.85 m in the air to catch a frisbee. How much potential energy does the dog have at the height of its jump?
Answer:
U = 41.65 J
Explanation:
We have just to calculate it with the following expression of gravitational potential energy:
U = m*g*h
Where:
m: mass
g: gravity acceleration;
h: height.
So:
U = m * 9.8 * 0.85
U = 8.33 * m
Then, it is just putting the mass value of the dog in that equation to obtain the value of potential energy acquired by the dog when jumping.
The mass of this kind of dog is between 3.6kg - 5kg, so, the maximum value of the potential energy can be like this:
U = 5 * 9.8 * 0.85
U = 41.65 J
module 2 question 13
Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 75.0 N, the second a force of 90.0 N, friction is 12.0 N, and the mass of the third child plus wagon is 22.0 kg.
(a) What is the system of interest if the acceleration of the child in the wagon is to be calculated? (Select all that apply.)
the children outside the wagon
the child in the wagon
the wagon
(b) Draw a free body diagram, including the weight and all other forces acting on the system. (Do this on paper. Your instructor may ask you to turn in this diagram.)
(c) Calculate the acceleration.
m/s2
(d) What would the acceleration be if friction is 15.0 N?
The acceleration of children will be 0.136m/s²
We are given that,
The first child exert force= F₁ = 75.0 N
The second child exerts force = F₂ = 90.0N
The friction force = Fₓ = 12.0 N
The mass of the third child = m = 22.0 kg
The first child & second child exert force 75 N and 90 N which are acting in opposite direction.
Therefore, the net force = F₂ - F₁ = 90 - 75 = 15 N
Friction force Fₓ would be act in the direction opposite to the direction of net force. So that the friction force will act in the direction in which the first child F₁ (75 N) is acting .
Total force acting in the direction of the second child= F₁+ Fₓ=75+12= 87 N
Net force acing on the third child F = 90 - 87 = 3 N
Therefore, the acceleration of the child can be calculated by the Newton's second law of motion i.e.
F = ma
a = F /m
a = 3N /22kg
a = 0.136 m/s²
Thus, the acceleration of the child will be 0.136 m/s²
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In compressing the spring in a toy dart gun, 0.2 J of work is done. When the gun is fired, the spring gives its potential energy to a dart with a mass of 0.05 kg.
(a) What is the dart's kinetic energy as it leaves the gun?
0.2j
(b) What is the dart's speed?
Pleas help with part b I have tried everything I need help!!!
a) The kinetic energy of the spring is 0.2 J
b) Speed of the dart is 2.8 m/s
What is the work done?Let us recall that work is said to be done when the force that is applied moves a distance in the direction of the force. Now we know that if we compress a spring, then the spring would have a potential energy called the elastic potential energy.
Let us now answer the questions;
a) Given the fact that energy is neither created nor destroyed but is converted from one form to the other, the kinetic energy of the dart is 0.2 J. This is from the law of the conservation of energy as we all know it.
b) Recall that;
KE = 1/2mv^2
KE = kinetic energy
m = mass of the object
v = speed of the object
v = √2KE/m
v = √2 * 0.2/0.05
v = 2.8 m/s
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What is the force on a 100 kg elevator that is falling freely at an acceleration of10 m/sec2?
We are told that an elevator falls freely, which means that the only force acting upon it is its weight. The weight is defined as:
[tex]W=mg[/tex]Where "m" is the mass and "g" is the acceleration of gravity. Replacing the given values:
[tex]\begin{gathered} W=(100\operatorname{kg})(10\frac{m}{s^2}) \\ W=1000N \end{gathered}[/tex]Therefore, the force that acts upon the elevator is 1000N.
NEED ANSWERS ASAP!! PLEASE
The motion of an object with constant acceleration exists defined by a set of equations comprehended as the kinematic equations. The distance of the drone with respect to the ground exists 13.95886 m/s.
What is a kinematic equation?The motion of an object with constant acceleration exists defined by a set of equations comprehended as the kinematic equations. Integrals, derivatives, and rates of change must all be understood in order to solve kinematics problems.
A branch of physics named kinematics, which originated in classical mechanics, described how points, bodies, and systems of bodies move without taking into account the forces that exists responsible for their motion.
If a drone flies 13.8 m/s due East with respect to the wind and the wind is blowing 2.1 m/s due North, the speed of the drone with respect to the ground is its displacement.
Displacement is calculated using Pythagoras theorem.
d² = 13.8 ² + 2.1²
simplifying the above equation, we get
d² = 190.44 + 4.41
d² = 194.85
Square root both sides, we get
√d² = √194.85
d = 13.95886 m/s
Therefore, the distance of the drone with respect to the ground is 13.95886 m/s.
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A pot of water is heated using a camping stove. The stove supplies 115,000 J of energy to the 0.54 kg of water. Given that the specific heat capacity of water is 4180 J/kg °C, calculate the increase in temperature of the water to two significant figures.
The increase in the temperature of the water, given that 115000 J of heat energy was supplied to it is 50.95 °C
How to determine the increase in temeperatureFrom the question given above, the following were obtained:
Heat supplied (Q) = 115000 JMass of water (M) = 0.54 KgSpecific heat capacity of water (C) = 4180 J/KgºC Increase in temperature (ΔT) =?The increase in the temperature of the water can be obtained as follow:
Q = MCΔT
115000 = 0.54 × 4180 × ΔT
115000 = 2257.2 × ΔT
Divide both sides by 2257.2
ΔT = 115000 / 2257.2
ΔT = 50.95 °C
From the above calculation, we can conclude that the temperature increase of the water is 50.95 °C
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What is the Ksp expression for Ni3(PO4)2(s) in water?
options:
Ksp = [Ni2+]3[PO43-]2
Ksp = [Ni2+]2[PO43-]3
Ksp =(3x[Ni2+])(2x[PO43-])
Ksp =(3x[Ni2+])3(2x[PO43-])2
Answer:
A
Explanation:
What is the Ksp expression for Ni3(PO4)2(s) in water? A) Ksp = [Ni2+]3[PO4]2(s) B) Ksp = [Ni2+]2[PO43-13 C) Ksp= (3x[Ni2+])(2x[PO43-]) C) Ks
Answer 0 votes
Answe
A) Ksp = [Ni2+]3[PO4]2(s)
Drag is usually ignored because its effect on the horizontal velocity is usually negligible due to the short time of flight.
An object's surface area and geometry, along with the object's surrounding wind speed will affect the drag force.
In most cases, drag force will cause the object to land horizontally closer to the predicted landing point as drag is a resistive force.
Drag is ignored in projectile predictions because projectiles usually have a relatively short time of flight.
The surface area of the object, the wind speed, as well as the relative velocity of the airplane will affect the drop of relief packages.
The drag force will cause the projectile to take a longer time to land and may cause to land far from its expected drop point.
What is drag?Drag is a force that acts in opposition to the motion of an object moving through a fluid.
Drag can be thought of as friction in fluids because similar to friction, it acts in an opposite direction of the relative motion of a moving object.
For example, airplanes moving through air experience a drag; ships and boats moving through water experience drag too.
Drag also occurs in projectiles moving through the air. However, because of the relatively short time of flight, it is usually ignored in projectile motion.
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Complete question:
While studying projectile motion, we consider ideal scenarios, where the projectile travels along its trajectory only under the influence of gravity. In real-world situations, however, other forces act on the projectile.
Consider a cargo plane that is dropping relief packages to flood victims. In predicting and studying this motion, we might consider gravity, but ignore the horizontal and vertical forces associated with drag (or air friction). Discuss this simplification. Specifically address these questions:
•Why do we often ignore drag in projectile predictions?
•What conditions (of the object, its surroundings, and its launch) do you think might make drag a significant factor in the relief package drop?
•How would drag affect the projectile's motion if it really were a significant factor in the relief package drop?
Two 60.00 resistors are connected in parallel and this parallel arrangement is then connected in series with a 30.00 resistor. The combination is placed across a 120 V potential difference. What is the equivalent resistance for the entire circuit? a RT = 900 b RT12002 C RT = 30N 30Ω d RT = 60Ω
The equivalent resistance for the entire circuit is equal to 1830 Ω.
What is the resistance of resistors in series?In a series combination of resistors, the resistors are connected end-to-end. Assume two resistors, R₁ and R₂ which are connected with each other in a series then their effective resistance:
Total Resistance, R = R₁ + R₂
In a parallel combination of resistors, the resistors are connected parallel to each other.
[tex]\displaystyle \frac{1}{R} =\frac{1}{R_1} +\frac{1}{R_2}[/tex]
The resistance in parallel, R₁ = 60 Ω , R₂ = 60 Ω , R₃ = 30 Ω
The equivalent resistance for the entire circuit will be given by:
[tex]R_{eq} =R' + R_3[/tex]
[tex]\displaystyle R_{eq} = \frac{R_1R_2}{R_1+R_2} + R_3[/tex]
[tex]\displaystyle R_{eq} = \frac{60\times 60}{1+1} + 30[/tex]
R = 3600/2 +30
R = 1800 +30
R = 1830 Ω
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What is the acceleration due to gravity at the surface of a planet that is twice as dense as the earth, but whose radius is twice as large as the earth’s? Assume the earth is a perfect sphere with a volume given by 4/3 piR^3.
ANSWER:
39.2 m/s^2
STEP-BY-STEP EXPLANATION:
We have to acceleration due to gravity at the surface of planet:
[tex]\begin{gathered} g_p=\frac{GM_p}{(R_p)^2^{}},M_p=\rho_p\cdot V_p \\ g_p=\frac{G\cdot\rho_p\cdot V_p}{(R_p)^2} \\ g_p=\frac{G\cdot\rho_p\cdot\frac{4}{3}\pi(R^3_p)_{}}{(R_p)^2} \\ g_p=\frac{4}{3}\pi\cdot G\cdot\rho_p\cdot R_p \end{gathered}[/tex]Where,
Mp = mass of planet
ρp = density of planet
Rp = radius of planet
Given:
ρp = 2ρe, Rp = 2Re
where,
ρe = density of earth
Re = radius of earth
Replacing:
[tex]\begin{gathered} g_p=\frac{4}{3}\pi\cdot G\cdot2\rho_e\cdot2R_e \\ g_p=4\cdot\mleft(\frac{4}{3}\pi\cdot\: G\cdot2\rho_e\cdot2R_e\mright) \\ g_p=4\cdot g_e \\ g_e=9.8m/s^2 \\ \text{ replacing} \\ g_p=9.8\cdot4 \\ g_p=39.2m/s^2 \end{gathered}[/tex]Therefore the acceleration due to gravity on the planet is 39.2 m/s^2
PLEASE HURRY!
Give a short description of how our early solar system formed. Be sure to correctly address the following terms: solar nebulae, accretion disk, protostar, planetesimals, star, and planets. (3 to 5 sentences)
Subject is Earth and Space science btw not physics they just didnt have an option to put it under :,)
Solar system formation began approximately 4.5 billion years ago, when gravity pulled a cloud of dust and gas together to form our solar system.
The planets, moons, asteroids and the whole lot else in the solar device shaped from the small fraction of material in the region that wasn't included within the younger sun.
The nebular hypothesis is the most extensively regularly occurring version within the field of cosmogony to explain the formation and evolution of the sun gadget. The protoplanetary disk is an accretion disk that feeds the significant superstar.
Protostar are the stars are thought to shape internal giant clouds of cold molecular hydrogen massive molecular clouds kind of 300,000 instances the mass of the solar and 20 parsecs in diameter.
Beneath positive circumstances the disk, that could now be called protoplanetary, may additionally deliver beginning to a planetary device. Large planet core formation is notion to proceed more or less alongside the lines of the terrestrial planet formation.
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the option for wave a r highest, volume with the highest pitch , lowest volume with the lowest pitch, and lowest pitch with the highest volumethe option four ways bar highest volume with the highest pitch, lowest volume with the lowest pitch, lowest volume with the highest pitch, and highest volume with the lowest pitch there is another page of options wave C and wave d
ANSWER
Wave A = Lowest volume with the lowest pitch
Wave B = Highest volume with the lowest pitch
Wave C = Lowest volume with the highest pitch
Wave D = Highest volume with the highest pitch
EXPLANATION
We want to attach the correct option to the correct figure.
From the question, the amplitude is proportional to volume, and frequency is given to be perceived as pitch.
On a wave graph, the amplitude is represented on the y-axis while the period is represented on the x-axis.
The relationship between period and frequency is an inverted relationship, which means that for a wave, the higher the period, the lower the frequency, and vice versa.
This means that from the figures given, we can conclude that:
Wave A = Lowest volume with the lowest pitch
Wave B = Highest volume with the lowest pitch
Wave C = Lowest volume with the highest pitch
Wave D = Highest volume with the highest pitch
That is the answer.
In a tug-of-war match, the blue team pulls to the right with 30 N of force while the red team pulls to the left with 20 N of force. Show the resultant graphically by adding the vectors. ASAPPPPP!!!!!
The resultant force of the two teams in the tug of war obtained by adding the vectors is 10 N.
What is resultant force?The resultant force of two or more forces is the single force that will produce the same affect as the two forces acting together.
The resultant force of the two teams performing tug of war is calculated as follows;
R = Rb - Rr
where;
R is the resultant forceRb is the force of the blue teamRr is the force of the red teamSubstitute the given parameters and solve for the resultant force.
R = 30 N - 20 N
R = 10 N
Graphically, we can present the resultant force as follows;
------10 N------> = ---------30 N--------------------> - <-----20 N---------------
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A spring is standing upright on a table with its bottom end fastened to the table. A block is dropped from a height of 3 cm above the top of the spring. The block sticks to the top end of the spring and then oscillates with an amplitude of 20 cm. What is the oscillation frequency?
The oscillation frequency of the spring is equal to 1.23 s⁻¹.
What is the gravitational potential energy?Gravitational potential energy can be described as the energy contained by the object because of its displacement of some height above the surface.
Given the height of the block before dropping, h = 3cm = 0.03 m
The amplitude of oscillation, A = 20 cm = 0.2m
The expression for the oscillation frequency is:
[tex]f = \frac{1}{2\pi }\sqrt{\frac{k}{m} }[/tex]
From the equation of motion: v²= u² + 2gh
v = √2gh
Because of the equilibrium between the block and the spring, the spring force is equal to the weight of the block.
[tex]kx = mg\\k =\frac{mg}{x}[/tex]
From the law of the conservation f energy, find the value of 'x' displacement:
[tex]m\frac{v^2}{2} + mgx = \frac{mg}{2x}(x+a )^2-mgA[/tex]
[tex]x^2 +2hx-A^2 =0[/tex]
[tex]x^2 + 2\times x \times 0.03- (0.2)^2 =0\\x^2 +0.0.6x -0.04 =0\\x = 0.172 \;m[/tex]
The oscillation frequency is equal to:
[tex]f = \frac{1}{2\pi }\sqrt{\frac{k}{m} }[/tex]
[tex]f = \frac{1}{2\pi }\sqrt{\frac{g}{x} }[/tex]
[tex]f = \frac{1}{2\pi }\sqrt{\frac{9.81}{0.172} }[/tex]
f = 1.20 s⁻¹
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I need help on homework
Given:
Let's determine the preferred units used when measuring the velocity of the center of mass.
The center of mass can be said to be the mean position of matter in a given system.
This is the point in a body where the whole mass of the body is concentrated upon.
The SI unit for center of mass is meters (m).
When measuring the center of mass, the preferred unit is meters per second.
herefiore, when measuring the velocity of the center of mass, the preferred unit is meters/second.
• NSWER:
A. meters/second
module 1 question 4
(a) How many significant figures are in the numbers 99.0 and 100.0?
99.0 :
100.0 :
(b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (Give your answer to 3 significant figures.)
99.0 :
100.0 :
a) there are 2 and 3 significant figures in the numbers 99.0 and 100.0
b)for the uncertainity of 1 in each number, the percentage uncertainity for in each is 1 an 1.01
Here the problem we are dealing with is related to significant numbers which are the number of digits in a value, frequently an estimation, that contributes to the degree of accuracy of the value. We begin counting significant figures at the primary non-zero digit. in the first case, we are given two numbers 99 and 100, where in 99 we have 2 significant numbers and in 100, there are 3 significant numbers. For the second case, the formula for calculating the uncertainity percentage is percentage = uncertainty /value x 100
So,the uncertainty is 1, so the certaintiy percentage for three significant numbers are which is 100 , the uncertainty percentage = 1/100 *100 = 1
For 99 , the uncertainty percentage = 1/99* 100 = 1.01
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tia types 66 words in 3 minutes.she wants to know how many words she can type in 5 and 10 minutes
Divide 66 words by 3 minutes to find the typing rate per minute. Then, multiply the typing rate by 5 minutes and 10 minutes to find how many words she can type during those time intervals, respectively.
Typing rate:
[tex]\frac{66\text{ words}}{3\text{ minutes}}=22\text{ words per minute}[/tex]Words typed in 5 minutes:
[tex](22\text{ words per minute)(5minutes)=110 words}[/tex]Words typed in 10 minutes:
[tex](22\text{ words per minute)(10 minutes)=220 words}[/tex]Therefore, Tia can type 110 words in 5 minutes and 220 words in 10 minutes.
Richard has just completed his science experiment, and collected all of the data. What is the next step that Richard needs to complete?
a.background research
b.analyze results
c.recognize a problem
d.form a hypothesis
A 4.91 kg bucket of water is raised from a well by a rope. The upward acceleration of the bucket is 3.37 m/s2. It will be helpful if you can properly draw a free-body diagram. Find the force exerted by the rope on the bucket.
Answer:
F=ma
=(4,91kg)(3,37m/s)
=16,55N
Explanation:
Free body diagram- the only 2 forces that are acting on the bucket is the tension in the rope and the weight
The tension in the rope could also be called "Force applied" and is acting upwards since it's pulling the bucket upwards.
There also has to be a force acting downwards on the bucket and that is the Weight.
a walrus accelerates from7.0 km/h to 34.5 km/h over a distance of 95m. What is the magnitude of thee walrus's acceleration?
The magnitude of the walrus's acceleration that accelerates from 7.0 km/h to 34.5 km/h over a distance of 95m is 6 m / s²
( v + u ) / 2 = d / t
v = Final velocity
u = Initial velocity
t = Time
d = Distance
u = 7 km / h
v = 34.5 km / h
d = 95 m
( 34.5 + 7 ) / 2 = 95 / t
t = 95 / 20.75
t = 4.58 s
a = v - u / t
a = Acceleration
a = ( 34.5 - 7 ) / 4.58
a = 6 m / s²
Therefore, the magnitude of the walrus's acceleration is 6 m / s²
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A 63.1 kg weight-watcher wishes to climb a mountain to work off the equivalent of a large piece of chocolate cake rated at 797 (food) Calories. How high must the person climb? The acceleration due to gravity is 9.8m/s^2 and 1 food Calorie is 10^3 calories. Answer in units of km.
Given:
the mass of the weight-watcher is
[tex]m=63.1\text{ kg}[/tex]The work off equivalent to
[tex]W=797\text{ food}[/tex]Required: height climbed by the person
Explanation:
first we need to change the work into calories.
it is given that
[tex]1\text{ food=10}^3\text{ calories}[/tex]then the work done is
[tex]W=797\times10^3\text{ calories}[/tex]now change this work done from calories to joules.
we know that
[tex]1\text{ calorie = 4.2 J}[/tex]Then the work done is ,
[tex]\begin{gathered} W=797\times10^3\times4.2 \\ W=3347.4\times10^3\text{ J} \end{gathered}[/tex]as the person climbs to the mountain the work done is stored as potential energy.
we assume that a person attained some height h,
then the work-energy relation,
[tex]W=mgh[/tex]Plugging all the values in the above relation and solve for h, we get
[tex]\begin{gathered} 3347.4\times10^3\text{ J=63.1 kg}\times9.8\text{ m/s}^2\times h \\ h=\frac{3347.4}{618.38} \\ h=5.41\text{ m} \end{gathered}[/tex]Thus, the height climbed by the person is
[tex]5.4\text{1 m}[/tex]The snow leopard (Uncia uncia) is an endangered species that lives in the mountains of central Asia. It is thought to be the longest jumper in the animal kingdom. If a snow leopard jumps at 35.0° above the horizontal and lands 96.0 m away on flat ground, what was its initial speed?
The initial speed of the Snow Leopard was 35m/s if it jumped at an angle of 35 degrees.
When a leopard jumps. It's path will be a parabola which is corresponding to a projectile.
The angle at which the leopard jumped is 35°.
The horizontal range of the projectile is 96 meters.
We can use the formula for horizontal range R of the projectile,
R = U²sin2A/g
Where,
U is the initial velocity of leopard,
A is the angles at which the leopard jumped.
g is acceleration due to gravity having value 9.8m/s².
Putting all the values,
96 = U²sin(70°)/9.8
U² = 96×9.8/0.77
U² = 1222
U = 34.9 m/s
Nearly 35 m/s.
The initial speed of leopard is 35m/s.
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module 2 question 14
Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 12,500 kg. The thrust of its engines is 31,000 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s2.)
(a) Calculate its magnitude of acceleration in a vertical takeoff from the Moon.
m/s2
(b) Could it lift off from Earth? If not, why not?
No, the thrust of the module's engines is less than its weight on Earth.
Yes, the thrust of the module's engines is greater than its weight on Earth.
No, the thrust of the module's engines is equal to its weight on Earth.
Yes, the thrust of the module's engines is equal to its weight on Earth.
If it could, calculate the magnitude of its acceleration. (If not, enter NONE.)
m/s2
a ) The acceleration in a vertical takeoff from the Moon = 0.81 m / s²
b ) No, it could not lift off from Earth. Because, the thrust of the module's engines is less than its weight on Earth.
a ) Vertical takeoff from the Moon,
F = 31000 N
m = 12500 kg
[tex]g_{m}[/tex] = 1.67 m / s²
W = m g
[tex]W_{m}[/tex] = 12500 * 1.67
[tex]W_{m}[/tex] = 20875 N
∑ [tex]F_{y}[/tex] = m [tex]a_{y}[/tex]
F - [tex]W_{m}[/tex] = m [tex]a_{y}[/tex]
31000 - 20875 = 12500 [tex]a_{y}[/tex]
[tex]a_{y}[/tex] = 0.81 m / s²
b ) Lift off from the Earth,
Force required for a 12500 kg object to lift off from Earth,
F = m g
F = 12500 * 9.8
F = 122500 N
Since the force required to lift off from Earth is much higher than the actual force, the module cannot lift off from Earth
Therefore,
a ) The acceleration in a vertical takeoff from the Moon = 0.81 m / s²
b ) No, it could not lift off from Earth. Because, the thrust of the module's engines is less than its weight on Earth.
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