The magnitude of the gravitational force 0f two solid sphere of radius R is 81F₁ newton.
Gravitational force :
Any two bodies' mutual attraction is directly proportional to the sum of their masses and inversely proportional to the square of their separation.
Force is given as :
F₁ = (G x m x m )/ (2r)²
To calculate gravitational force :
F₂ = G x [27m x 27m]/ [6r]²
F₂ = (G x27)² m² / 36r²
F₂ = (81 G x m²) / 4r²
F₂ = 81F₁
The magnitude of the gravitational force of two solid sphere of radius R is 81F₁ newton.
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35.
A block has a mass of 20.0 g and a volume of 40.0
cm³. What is its density
a. 2.0 g/cm³ 3
b. 0.5 g/cm
C.1.2 g/cm 3
d. 4.0 g/cm³
3
Answer:
Density 0.5 g/cm³
Explanation:
Given:
m = 20.0 g
V = 40.0 cm³
_________
Find ρ - ? Density
Density:
ρ = m / V
ρ = 20.0 / 40.0 = 0.5 g/cm³
An ideal massless spring, inclined plane, that makes an angle theta with the horizontal, and mass arrangement is given. A block of mass m is released from rest at the top of a frictionless incline. The block comes to rest momentarily after it has compressed this spring by ∆x. Initially, distance between the block and the spring is d.
Find ∆x.
Compression is Δx = √(2mgd·sinθ/k).
Given parameters:
Mass of the block = m.
Distance between the spring and the block is = d
The spring constant = k.
And, angle of inclination = θ.
And, The block comes to rest momentarily after it has compressed this spring by ∆x.
Now, loss of potential energy of the block = mgd sinθ.
And, gain in potential energy of the spring due to compression = 1/2k(Δx)²
From principle of conservation of energy,
1/2k(Δx)² = mgd sinθ.
⇒ Δx = √(2mgd·sinθ/k)
So, amount of compression is Δx = √(2mgd·sinθ/k).
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how can an object have the same speed and mass but change its momentum?
Answer: It can change its direction
Explanation:
Momentum is a vector, which has magnitude and direction. An object can have the same speed and mass (magnitude) but if it changes direction, it just changed its momentum
Can you help? It give a example and I need help seeing what type of boundary it is.
Answer:
Explanation:
4. Convergent boundary- when two plates move closer together.
5. Divergent boundary- when two plates move apart
6. Transform boundary- when two plates move past each other
The unbalanced force on the miners elevator is 60.0 N and the mass of the loaded elevator is 150 kg what is the acceleration of the elevator down the shaft
Answer:
Explanation:
F = m*(g - a)
g - a = F / m
a = g - F / m = 10 - 60.0 / 150 = 9.6 m/s²
A particle of mass 2 kg moves along the x-axis attracted toward the origin by a force whose magnitude is 8x. If the mass is initially at rest at x 20, find the following: a) The differential equation and initial conditions describing the motion. b) The position of the particle at any time. c) The velocity of the particle at any time. d) The amplitude, period and frequency of the motion.
Answer:
A
Explanation:
this is because 2×8×20=320
Derrick goes to a party and has a bad time, which decreases his party going behavior. This is an
example of
A) positive reinforcement
B) negative reinforcement
C positive punishment
D) negative punishment
Answer:
B) negative reinforcement
Explanation:
Derrick goes to a party and has a bad time, which decreases his party going behavior. This is an example of negative reinforcement. Hence option B is correct.
What is reinforcement ?According to the reinforcement hypothesis, "contingent consequences" of human activities lead to human behaviour. This means that when employees get the appropriate reinforcers, their conduct can change for the better, and bad behaviour can be eliminated.
Self-awareness, self-reflection, and self-regulation are the three key tenets of the self-regulation paradigm of human behaviour. Historically, rewards have correlated with self-regulation. Although the result may have an impact on the conduct, behaviour also need antecedents. Positive reinforcement, negative reinforcement, extinction, and punishment are the four different forms of reinforcement. The use of a positive reinforcer is known as positive reinforcement. In order to encourage the antecedent behavior from that, negative reinforcement is the technique of eliminating anything undesirable from the subject's environment.
Hence option B is correct.
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Which quantities (initial horizontal speed, initial vertical speed, range, flight time, or maximum height) varies linearly with the initial velocity?
Initial horizontal speed and flight time of a projectile are proportional to of the initial velocity.
What is projectile motion?A projectile is any object that is sent into space with only gravity acting on it. The primary force affecting a projectile is gravity.
This doesn't mean that other forces don't have an impact; it just means that they have a much smaller one compared to gravity. The trajectory of a projectile is the path it takes after being fired. The projectile is something that is batted or hurled, similar to a baseball.
Initial horizontal speed projectile= u
flight time of a projectile = 2usinθ/g.
So, these two quantities of projectile motion are proportional to the initial velocity.
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2. A runner whose initial speed is 8.06 m/s increases her speed to 8.61 m/s in order to win a race. If the
runner takes 5.00 seconds to complete this increase in speed, what is her acceleration?
Answer:
Explanation:
Given:
V₀ = 8.06 m/s
V = 8.61 m/s
t = 5.00
________
a - ?
Acceleration:
a = (V - V₀) / t
a = (8.61 - 8.06) / 5.00 ≈ 0,11 m/s²
Answer:0.11
Explanation:
Question 3 (2 points)
Of the following exercise stimuli, ordered from the lightest to the heaviest, select the
intensity that has been shown to significantly improve affect for most people (albeit
perhaps for a relatively short period of time)
a 10-minute walk at a self-selected intensity
a 20-minute session of a cycle ergometer at 60% VO2max
a 30-minute treadmill run at 75% VO2max
a 60-minute session of aerobics at 75% VO2max
multiple 30 second intervals at 150% VO2max
A 20-minute cycle ergometer exercise at 60% VO2max has been demonstrated to dramatically improve impact for the majority of persons.
Intensity and an example are what?the property of being strongly felt or having a powerful impact: The explosion was so loud that it could be heard from five kilometres distant. Measures of luminosity. [C or U] the strength of being something that may be measured, such as sunlight, sound, etc.
The measurement of intensity:A measure that is produced from a randomised measure is known as an intensity measure in probability theory. Since the randomised measure of a set's expected value is the intensity measure, which is a non-random measure, it equates to the average volume that the random measure assigns.
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Q7, how the ans is 4.9 not 19.6?
the answer is c in question 7
The half-life of chromium-51 is 28 days. If the sample contained 510 grams, how much chromium would remain after 56 days?
The quantity of 128 grams of chromium would be remaining.
The time required for half the reaction to change is called half life period.
This concept is useful for understanding carbon dating in Nuclear Physics. The term is used more to characterize any type of exponential decay. Nuclei that decay easily have shorter half life.
Given :- Half Life of Cr = 28 days
m= 510 grams
To find :- quantity of Cr after 56 days.
Formula : Nₙ= N₀/(2)ⁿ
Nₙ= 510/2²
Nₙ= 128g
Therefore 128 grams will be available after 56 days.
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A liquid can easily change its shape but a solid cannot because
a. the density of liquid is smaller than that of solid.
b. the forces between the molecules is strong in solid than in liquids.
c. the atoms combine to form bigger molecules in a solid.
d. the average separation between the molecules is larger in solids.
Answer:
Explanation:
A liquid can easily change its shape but a solid cannot because:
b. The forces between the molecules is strong in solid than in liquids.
A liquid can easily change its shape but a solid cannot because the forces between the molecules is strong in solid than in liquids. Thus Option b is the answer.
There is some kinds of forces that holds the molecules each other like for example in hydrogen chloride [ HCl ] the relatively positive hydrogen of one molecule is attracted to the negative chlorine of other due to dipole dipole interaction.
Actually structure of any molecule means combination of repulsive and attractive forces which is relatively concerned with charge and electron spin.
Solids have significant intermolecular forces so its difficult to dissociate the bonds and create a new shape , while fluids have insignificant molecular forces due to which its easier to generate new shapes.
So that's why Solids cannot change its shape with that ease as liquids do.
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Which term describes light passing straight through an object?
O transmission
O reflection
O refraction
O absorption
Answer:
transmission
Explanation:
Answer: transmission
Explanation: took test!
If a 62 kg panther sits in a tree 1.3 meters above the ground, how much gravitational potential energy does it have?
If the air resistance cause the panther to lose 200 J of energy as it falls, what is the KE of the panther just before it hits the ground?
What was the velocity of the panther just before it hit the ground?
Answer:
below
Explanation:
PE = mgh = 62 * 9.81 * 1.3 = 791 J
now lose 200 J to air resistance = 591 J that is converted to kinetic energy
KE = 1/2 m v^2
591 = 1/2 (62)(v^2) shows v = 4.4 m/s
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BRAINLIEST!!!! AND 100 POINTS!!!!!
Answer: B
Explanation:
You will have air resistance as a type of friction, and since there isn't a normal force opposing it, gravity will bring the ball toward the ground.
a bolder of mass 45kg is pushed on a surface with a coefficient of kinetic friction of 0.85. what force has to be applied to produce an acceleration of 2 m/s^2
Answer: The answer is 386 N
Explanation:
The component of a velocity are 25m/s and 16m/s . determine the velocity
The resultant velocity of the two components velocity is 29.68 m/s.
What is resultant velocity?The resultant velocity of an object is the sum of its individual vector velocities. Also, the resultant velocity of an object is the single velocity that can effectively represent the two velocities in both magnitude and direction.
The resultant velocity of the two given components of velocity if calculated as follows;
V² = Vx² + Vy²
where;
Vx is the x component of the velocityVy is the y component of the velocityV² = 25² + 16²
V² = 881
V = √881
V = 29.68 m/s
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A race car leaves the starting line and travels 36,000 m in the first 600 seconds of the race. They are then forced to take a pit stop and don't go anywhere for 250 seconds. After the pit stop, they finish the race, going 24,500 m in 350 seconds.
a. What is the car's average speed during the first part of the race? (before the pit stop)
b. What is the car's average speed during the pit stop?
c. What is the car's average speed after the pit stop?
d. What is the car's average speed for the whole trip?
Answer:s= A. 60 m/s
B. s=0 m/s
c. s=70 m/s
D. s=50.4 m/s
Explanation:
Sorry if its wrong
A dog is running at 7.2 m/s then comes to a complete stop after sliding for 14.4 m. What is the dog's acceleration?
The dog's acceleration :- -1.8 [tex]m/s^{2}[/tex] (deacceleration).
given data:-initial velocity u=7.2 m/s
final velocity v= 0
displacement s= 14.4m
v² = u² + 2as
a= -(7.2*7.2)/2*14.4
acceleration a= -1.8 [tex]m/s^{2}[/tex]
The calculation of acceleration?The rate at which velocity changes over a predetermined amount of time is called acceleration. By dividing the velocity change by the time change, you can calculate acceleration.
Can velocity and acceleration be equal?As time passes, the velocity is shifting. Actually, every second of time sees a change in velocity of 10 m/s, which is a constant. When an object's velocity changes, it is said to be accelerating; this implies that the object has an acceleration.
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Calculate the change in kinetic energy of a ball of mass 200 g when it bounces. Assume that it hits the ground with a speed of 15.8 m/s and leaves it at 12.2 m/s.
Answer: So, the kinetic energy of the ball is 0.02 J
Explanation:
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A thin 2.50 kg box rests on a 5.50 kg board that hangs over the end of a table, as shown in (Figure 1).
How far can the center of the box be from the end of the table before the board begins to tilt?
Based on the principle of moments. the distance from the end of the table should the box be placed before the board begins to tilt is 8.6 cm.
What distance from the end of the table should the box be placed before the board begins to tilt?The distance from the end of the table should the box be placed before the board begins to tilt is determined from the principle of moments as follows:
sum of clockwise moments = sum of anticlockwise momentsThe block is 30 cm on the table and 20 cm outside it.
The downward force acting on the left-hand side of the box = 3/5 x 5.50 = 3.3kg.
This force acts at the center of gravity, 15 cm or 0.15 m away.
Therefore, anticlockwise moments o the left side = 3.3 x 0.15 = 0.495 J
Also, the clockwise moment on the right side = Force * distance
Force = 2/5 x 5.5 = 2.2 N
Distance from the center of gravity = 10 cm or 0.10 m away.
the clockwise moment on the right side due to the board = 2.2 x 0.1 = 0.22.
The moment due to the box with a weight of 2.5 kg at a distance of x meters will be:
the total clockwise moment on the right side = 0.28 + 2.5 * x.
When the board is just about to tilt:
0.495 = 0.28 + 2.5 * x
2.5x = 0.495 - 0.28
x = 0.086 m or 8.6 cm
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my thoughts about earthwake
Units and magnitudes 1. Make the following transformations 500 cm to m:
Answer:
5 m
500 cm to m is 5 meters
To convert one length to another, a conversion is applied, but first we will propose some data to serve us when applying the conversation.
Data:
100 cm is the same as a meter.& 1 meter is the same as 100 cm.Now, we convert centimeters to meters.
Conversion:
500cm • (1m / 100cm)5mExplanation:
They are 5 meters because multiplying 500 by 1 will give you the same result of 500, then we divide the 500 with the last amount that we have left, which is 100, thus giving us a result of 5 meters.
A rocket blasts off from rest and attains a speed of 33.9 m/s in 12.7 s. An astronaut has a mass of 65.1 kg. What is the astronaut's
apparent weight during takeoff?
The apparent weight of the astronaut of mass 65.1 kg moving with a speed of 33.9 m/s in 2.7 s is 811.797 N.
What is weight?Weight is the force with which a body is attracted toward the earth or a celestial body by gravitation and which is equal to the product of the mass and the local gravitational acceleration.
To calculate the astronaut's apparent weight, we use the formula below.
Formula:
W = m{[(v-u)/t]+g}............ Equation 1Where:
W = The apparent weight of the astronautm = Mass of the astronautv = Final speedu = Initial speedt = Timeg = Acceleration due to gravityFrom the question,
Given:
m = 65.1 kgv = 33.9 m/su = 0 m/s (from rest)t = 12.7 sg = 9.8 m/s²Substitute these values into equation 1
W = 65.1{[(33.9-0)/12.7]+9.8]W = 65.1×12.47W = 811.797 NHence, the apparent weight of the astronaut is 811.797 N.
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The current theory of the structure of the
Earth, called plate tectonics, tells us that the
continents are in constant motion.
Assume that the North American continent
can be represented by a slab of rock 4050 km
on a side and 29 km deep and that the rock
has an average mass density of 2750 kg/m3
The continent is moving at the rate of about
4.8 cm/year.
1)What is the mass of the continent?
Answer in units of kg.
2)What is the kinetic energy of the continent?
Answer in units of J.
3)A jogger (of mass 63 kg) has the same kinetic
energy as that of the continent.
What would his speed be?
Answer in units of m/s.
The mass of the continent which s represented as a slab of rock of 4050 km on a side and 29 km deep and the rock has an average mass density of 2750 kg/m3 is 1.31 * [tex]10^{21}[/tex] Kg.
What is kinetic energy?
A moving item or particle might have the power of a certain type called kinetic energy. By applying a net force, an item can perform work, which involves the transfer of energy. As a result, the object accelerates and as a result, gains kinetic energy.
Given:
The side of the slab, a = 4050 km,
The density of slab, d = 2750 kg/[tex]m^3[/tex],
The depth of the slab, h = 29 km.
Calculate the mass by the following formula,
m = [tex]V * d[/tex]
Here, m represents mass and V represents volume,
m = 4050 * [tex]10^3[/tex]* 29 * [tex]10^3[/tex] * 4050 * [tex]10^3[/tex] * 2750
m = 1.31 * [tex]10^{21}[/tex] kg
Therefore, the mass of the continent is 1.31 * [tex]10^{21}[/tex] kg.
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a trapeze is a short horizontal bar held up by two vertical ropes on either side. An acrobat with a mass of 60 kg provides a 588 N downward force on the bar. Each of the two ropes provide an upward force of 349 N. What is the upward acceleration of the acrobat?
The upward acceleration of the acrobat is 1.833 m/s².
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given parameters:
Mass of the acrobat; M = 588 N.
Weight of the acrobat acting downwards; W = 588 N.
Upward force provided by each of the two ropes; f = 349 N.
Hence, net force acting on the acrobat in upward direction = 2f -w
= (2×349 - 588 ) N.
= 110 N.
Hence, the upward acceleration of the acrobat is = net force/ mass
= 110/60 m/s².
=1.833 m/s².
So, the upward acceleration of the acrobat is 1.833 m/s².
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7. A child of mass m starts from rest and slides without friction from a height h along a curved waterslide (Fig. P5.46). She is launched from a height into the pool. Figure P5.46 4/5 Fmax (a) Is mechanical energy conserved? Why?
The mechanical energy of the girl will be conserved because the system is isolated and the initial potential energy will be equal to final kinetic energy.
What is the law of conservation of energy?
The law of conservation of energy states that energy can neither be created nor destroyed but can be transformed from one form to another.
The change in the potential energy of the launched from a height into the pool without friction from the given height h is calculated by applying the following kinematic equation.
ΔP.E = ΔK.E
where;
ΔP.E is change in potential energy of the childΔK.E is change in the kinetic energy of the childmghf - mghi = ¹/₂mv² - ¹/₂mu²
where;
m is the mass of the girlg is acceleration due to gravityhi is the initial height of the girlhf is the final height when she is launched into the poolu is the initial velocityv is the final velocity of the girlThus, for every closed or isolated system such as this case, mechanical energy is always conserved because the initial potential energy of the girl will be converted into her final kinetic energy.
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a baby carriage is sitting at the top of the hill that is 21 m high. the carriage with the baby has a mass or 1.5kg. the carriage has ___ energy. calculate it.
what is the answer? is it equilibrium or not?
No, the system is not in equilibrium because the forces are not balanced which caused acceleration In system.
In mechanics, a force is any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three principles of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the idea of force (1687).
Newton's first law states that unless a force is applied to a body, it will stay in either its resting or uniformly moving condition along a straight path. According to the second law, when an external force applies on a body, the body accelerates (changes velocity) in the force's direction.
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