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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A basketball spins on a player’s finger. The basketball starts with an initial rotational speed of 15 rad/s and stops spinning in 7.2 seconds. Find the angular displacement of the ball as it comes to a stop.
Answer:
Angular displacement ≈ 54 rad
Explanation:
Given:
φ₀ = 0
ω₀ = 15 rad/s
ω = 0
t = 7.2 s
___________
φ - ?
Rotational motion equation:
φ = φ₀ + ω₀·t + ε·t² / 2
Angular acceleration:
ε = (ω - ω₀) / t = ( 0 - 15 ) / 7.2 ≈ - 2.08 rad/s²
Angular displacement :
φ = φ₀ + ω₀·t + ε·t² / 2 = 0 + 15·7.2+ (-2.08)·7.2² / 2 ≈ 54 rad
Which quantities (initial horizontal speed, initial vertical speed, range, flight time, or maximum height) are proportional to the square of the initial velocity?
(This is about angled projectiles)
(Include an explanation please)
Range and Maximum height are proportional to the square of the initial velocity.
In projectile motion, Range of the particle is the horizontal distance travelled by the projectile between launch and the landing points and is denoted as R,
R = u^2sin2θ/g
Here u is initial velocity.
Maximum height is the maximum height from the point of projection, a projectile can reach.
And at maximum height (h) attained, velocity of the object is zero (v=0)
we can use , v^2 - (u sinθ)^2= 2ah (acceleration due to gravity is a= -g)
Or 0 - (u sinθ)^2 = 2(-g)h
⇒ h = u^2 sin^2 θ / 2g
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"The first event in Weightlifting competition is called the Snatch. [...] This lift is done with tremendous power and speed, the bar being lifted from the floor to arms length overhead in one motion, a motion which generally takes less than a second. Amazingly, the heaviest male weightlifters in the world are able to snatch more than 210 kg! (source)
An athlete is lifting 130 kg to a height of 2.45 meters in 0.5 seconds. How much power does he expend?
The power expended by the athlete is determined as 6,242.6 J/s.
What is average power?
The average power of an object can be defined as the proportion of overall work or activity performed by the body to the total time spent by the body.
The unit of average power is watt or joules per second.
Average power is calculated by dividing total energy spent by the total time taken.
Mathematically, the formula for average power is written as;
P = Energy / time
The work done by the athlete or the gravitational potential energy of the weight lifted by the athlete to the given height is calculated as follow;
Energy = P.E = mgh
where;
m is the mass lighth is the vertical heightg is acceleration due to gravityEnergy = 130 x 9.8 x 2.45
Energy = 3121.3 J
Power = 3121.3 J / 0.5 s
Power = 6,242.6 J/s
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A__is the best example or representation of a concept.
A prototype is the best example or representation of a concept, which is used as a design to shape a device.
What is a prototype?A prototype can be defined as a given design in its experimental stage which is very useful to shape the framework or idea to carry out.
Therefore, with this data, we can see that a prototype can be very useful to shape an idea or concept about a given device in particular.
Complete question:
Fill in the blank. A _____ is the best example or representation of a concept.
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A football is kicked by a place kicker. The average force on the
ball is 240 N and the impact lasts for a time interval of 0.25s.
Calculate the change in the ball's momentum.
The change in momentum of the ball that is kicked by a force of 240 N over a time interval of 0.25 s is 60 Ns.
What is change in momentum?Change in momentum can be defined as the product of force and time.
To calculate the change in momentum of the ball, we use the formula below.
Formula:
ΔM = Ft.............. Equation 1Where:
ΔM = Change in momentumF = Forcet = TimeFrom the question,
Given:
F = 240 Nt = 0.25 sSubstitute these values into equation 1
ΔM = 240×0.25ΔM = 60 NsHenece, the change in momentum of the ball is 60 Ns.
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how would the shape of electric field lines change if you increased the voltage across the electrodes
Answer:
Explanation:
If the electric field is inhomogeneous, then the magnitude of the strength (and voltage) is determined by the density of the field lines: where the field lines are thicker, the field strength is greater
If Pete (mass = 90.0 kg) weighs himself and finds that he weighs 150 Newtons, how far away from the center of the earth is he?
Based on the acceleration due to gravity of the object at that point, the distance from the center of the object is 1.54 * 10⁷ m
What is the distance from the center of the earth for the object?The distance from the center of the object is calculated using the formula below:
g' = g(r/h)²
where;
g' is the acceleration due to gravity at that point
g is the acceleration due to gravity from the surface of the earth = 9.81 m/s²
r is the radius of the earth = 6.37 * 10⁶ m
h = is the distance away from the center of the earth
The acceleration due to gravity at that point is found using the formula below
F = mg'
g' = F / m
where m is mass
F is force
g' = 150 / 90
g' = 1.67 m/s²
h = r / (√g'/g)
h = 6.37 * 10⁶ / (√1.67/9.81)
h = 1.54 * 10⁷ m
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what is solenoid? define solenoid in simple words
[tex]{ \red{ \underline{ \green{ \sf{solenoid}}}}}[/tex]
Solenoid is a coil of circular turns made up of insulated copper wire wrapped closely in the cylindrical form
solenoid is formed by circular turns of copper wire in cylinder form
A man with a weight of 740N is standing on one leg. His foot is exerting 2312.5 N/m2 of pressure onto the ground. What is the surface area of the bottom of his foot?
Answer:
he surface area of the bottom of his foot is 3.2 m2.
Explanation:
A girl rides her bicycle 1.40 kilometers west, 0.70 kilometer south, and 0.30 kilometer east in 12 minutes. The vector diagram below represents the girl's fist two displacements in sequence
from point P. The scale used in the diagram is 1.0 centimeter = 0.20 kilometer.
8. Determine the measure of the angle, in degrees, between the resultant and the 1.40-
kilometer displacement vector.
Answer:
See below
Explanation:
For a right triangle, remember that tan = opposite leg / adjacent leg:
The angle will be found by using the inverse tangent function
arctan ( .3/1.4) = 12°
The measure of the angle, in degrees, between the resultant and the 1.40-kilometer displacement vector is 12.
What is vector?In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.
A vector does not have position, while having magnitude and direction. In other words, a vector's shape is unaltered if it is shifted parallel to itself as long as its length is unaltered.
Ordinary quantities with a magnitude but no direction are referred to as scalars in contrast to vectors. For instance, while speed (the amount of velocity), time, and mass are scalars, displacement, velocity, and acceleration are vector quantities.
Therefore, The measure of the angle, in degrees, between the resultant and the 1.40-kilometer displacement vector is 12.
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look at the two models of charges
Answer: im looking
explination
what is the main consequence of forming jovian planets starting with extra mass from hydrogen compounds?
The main consequence of forming jovian planets starting with extra mass from hydrogen compounds is that the jovian planets was cold enough for hydrogen compounds to condense into ices. This cause them to grow to large size.
Jovian planets formed in the outer solar system, farther from the sun where ices and rocks were plentiful. The cores accreted rapidly into large clumps of ice and rocks. Jovian planets was cold enough for hydrogen compounds to condense into. Eventually, they become so large, they captured a large amount of hydrogen and other gases from the surrounding nebula with their enormous gravity. The atmosphere of the Jovian planets in our solar system are made mostly of hydrogen and helium compounds and containing hydrogen are--water, ammonia, and methane.
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Convert newton into dyne.
newton is the S.I. unit of force.
dyne is the C.G.S. system of force.
[tex]{ \blue{ \tt{newton = kg {m}^{ - 2}}}}[/tex]
[tex]{ \blue{ \tt{dyne = gcm {s}^{ - 1}}}} [/tex]
[tex]{ \red{ \sf{ \frac{newton}{dyne}}}} = { \green{ \sf{ \frac{10 { \cancel g^{2}} \times 10 { \cancel{cm^{3}}} }{ \cancel{gcm}}}}}[/tex]
[tex]{ \red{ \sf{ \frac{newton}{dyne} }}}= { \boxed{ \purple{ \sf{{10}^{5} \: dyne}}}}[/tex]
Answer:
Explanation:
1 Newton = 100,000 dynes
F = m·a
[ F ] = 1 N = 1 kg · 1 m/s² = 1000 g · 100 cm/c² = 1000·100 g·cm / s²
= 100,000 g·cm / c² = 100,000 dines
A motorcyclist heading east accelerates after he passes a sign post at x=0m marking the city his acceleration is constant a= 4m/s2 at time=0 he is 5m east of the sign post and has a velocity of v=15 m/s where is the motorcyclist when his velocity is 25m/s
Answer:
55m east of the sign post
Explanation:
Use this equation
final velocity^2 = initial velocity^2+2(a)(x) x is displacement.
Substitute values:
25^2= 15^2+ 2(4)(x)
625=225+8x
x=50 m
REMEMBER TO ADD INITIAL DISPLACEMENT!!!! :D
Displacement (positive is east in this case)
=50 m+ 5m
=55m.
So the answer is the motorcyclist is 55m east of the sign post.
What energy is always conserved
Answer:
Renewable Energy took a test on this not to long ago!
PLEASE GIVE BRAINLIEST THANK YOU!!!
Listed following is a set of statements describing individual stars or characteristics of stars. Match these to the appropriate object category.
a. Red Giant or Supergiant Starts.
b. Main-sequence stars
c. White dwarfs
1. Very cool but very luminous
2. Found in the uppper right of the H-R diagram
3. The majority of stars in our galaxy
4. The Sun, for example
5. A very hot and very luminous star
6. not much larger in radius than Earth
7. Very hot but very dim
The appropriate object category are:
Red giant or super giant → very cool but very luminous→ found in the upper right of the H-R diagram, then
Main sequence stars →The majority of stars in our galaxy→ Sun →for example a very hot and very luminous star, then
White dwarfs → very hot but very d→ not much larger in radius than earth.
Giant:
When stars run out of their fuel that is hydrogen for the nuclear fusion reactions then they would convert into the Giant stars. main sequence stars.
Main Sequence:
Stars are called main sequence stars when their core temperature reaches up to 10 million kelvin and their start the nuclear fusion reactions of hydrogen into helium in the core of the star.
White dwarfs:
When the stars run out of their fuel then they actually shed the outer layer planetary nebula, the remaining core part that remain behind is called as white dwarf.
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A car is traveling at 18.25 meters per second for 5.27 seconds. How far did it travel in meters? Round your answer to two decimal places. A car is traveling at 18.25 meters per second for 5.27 seconds. How far did it travel in meters? Round your answer to two decimal places.
A block with mass 0.100 kg is moving to the left with velocity of -2.3 m/s on a frictionless surface. This mass proceeds to then slide into a spring, with spring constant of 1700 N/m
1. Draw a force diagram while the mass is interacting with the spring
2. What is the maximum compression of the spring (in cm)?
3. What is the velocity of the mass after bouncing off the spring
0.0135 cm distance is the maximum compression of the spring.
mass=0.1 kg
velocity=2.3 m/s = 230 cm/s
spring constant, k= 1700 N/m
F=Kx
x=F/k
x=ma/k
x=0.1×230÷ 1700
x= 0.0135 cm
Distance is the length between two locations or things, independent of direction. Since distance is a scalar property, it only takes into consideration the total magnitude and ignores the start and finish positions. Since distance is a scalar attribute, it can only have a positive or zero value; it cannot have a negative value.
The most common unit of measurement for distance is the meter (m), while larger distances can also be stated in kilometers (km), while smaller distances can be expressed in centimeters (cm) or millimeters (mm). When calculating distance, the letter D is often used to represent the distance traveled.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answer:
1. B (graph A) 2. A (graph D) 3. D (graph B) 4. C (graph C)
Explanation:
1. Graph A gives the relationship between the speed of a car and time. Over time, the speed of the car is decreasing (moving closer to 0). Therefore, the car is slowing down.
2. Graph D gives the relationship between the distance of a car and time. Over time, the distance the car has traveled is increasing at a steady rate. Because the distance is changing, we know the car is moving. And because the slope of the line is constant, the car is moving at a constant speed.
3. Graph B gives the relationship between the distance of a car and time. This distance is not changing over time, meaning that if the car started 5 meters away, the car is still 5 meters away. Therefore, the car is not moving.
4. Graph C gives the relationship between speed and time. The speed is increasing, and therefore not constant. This means that the car is either speeding up or slowing down. Since speed is increasing (the inverse of graph A), we know the car is speeding up. When an object is speeding up, the velocity/speed and the acceleration have the same sign (both positive or negative). Our speed values are all positive, so our acceleration must also be positive.
A force of 10.0N acts between two unequal charges when they are separated by 0.30m. what will be the force between the charges when the distance between them is increased by 0.15m
Answer:
4.44 N
Explanation:
10 = G m1 m2 / r^2 G m1 and m2 are constant so:
10 = k /r^2
10 = k / (.30^2 )
.9 = k now increase to .45
F = .9 / (.45^2) = 4.44 N
Two 1kg masses as distance D as part each exerted a gravitational attraction Force on the other one. If 1kg is now add to each mass the gravitational attraction exerted by each would be
Answer:
Explanation:
m₁ = m₂ = m
m₁' = 2m₁ = 2m
m₂' = 2m₂ = 2m
F₁₂ = G·m₁·m₂ / D² = G·m² / D²
F'₁₂ = G·m'₁·m'₂ / D² = G·2m·2m / D² = 4·G·m²/ D = 4·F₁₂
Gravitational pull increased 4 times
Which of the following is accurate when discussing specific heat?
A) Specific heat values for solids will never vary for different ranges of temperature.
B) The specific heat of a gas can be measured at constant pressure.
C) Specific heat values for liquids will never vary for different ranges of temperature. D) The specific heat of a gas can be measured at constant volume only.
The statement indicating that the specific heat of a gas can be measured at constant pressure is accurate when discussing specific heat (Option B).
What is the specific heat of a gas?The specific heat of a gas is a measurement that makes reference to the relative molecular position of the molecules in a substance in the gas state, which is a state of matter where particles are more separated in space when compared with liquid and solid states.
Moreover, specific heat can be defined as the amount of heat energy that may be able to increase the temperature of 1 gr (gram) of a given material to 1 Celssius degree.
Therefore, with this data, we can see that the specific heat of a gas depends on the temperature and it expresses a given amount of heat energy in a substance or material.
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need these answered with explanation please, i need this asap.
1. a. Frequency of the wave is equal to 2 cycles per second.
Wavelength of the wave is equal to 1.5 m.
2.a. The frequency of the wave is 3 cycles per second.
b, It is a longitudinal wave of wavelength is equal to 40 cm.
What is wave?An energy disturbance in a medium without net particle mobility is referred to as a wave. Among the probable manifestations are elastic deformation, pressure changes, variations in electric or magnetic intensity, electric potential, and temperature changes.
From picture 1.
1. a. frequency of the wave is = 2 cycles per second.
Wavelength of the wave is = 3 m/2 =1.5 m.
From picture 2.
2.a. As it moves forward and backward 3 times in very second, frequency of it is given by 3 cycles per second.
b, It is a longitudinal wave of wavelength is 40 cm.
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A 0.80 m wide door turns though an angle of 45°. How long is the arc of the displacement?
O 1.0 m
O 0.80 m
O 0.63 m
O 0.45 m
Answer:
below
Explanation:
If it went for 360° it would swing through the ENTIRE circumference = 2 pi r
= 2 pi ( .8 ) =5.026 m
but it only swings through 45 of the 360
45 / 360 * 5.026 = .63 m
Calculate the combined mass of the two people if the tension of the cable is 1205.4 N
Answer:
Let
T
be the tension of the cable and m
g
be the force of gravity. If the upward direction is positive, then Newton’s second law is T−mg=ma, where a is the acceleration. Thus, the tension is T=m(g+a). We use constant acceleration kinematics (Table 2-1) to find the acceleration (where v=0 is the final velocity, v
0
=−12m/s is the initial velocity, and y=−42m is the coordinate at the stopping point). Consequently, v
2
=v
0
2
+2ay leads to
a=−
2y
v
0
2
=−
2(−42m)
−12m/s
=1.71m/s
2
We now return to calculate the tension:
T=m(g+a)
=(1600kg)(9.8m/s
2
+171m/s
2
)
=1.8×10
4
N
Answer:
Explanation:
Given:
P = 1205.4 N
g = 9.8 m/s²
___________
m - ?
m = P / g
m = 1205.4 / 9.8 ≈ 123 kg
Explain clearly about hydrogeological Map
Hydrogeological maps bring basic geological information together with data on the hydraulic and hydrochemical characteristics of the rocks and their usefulness for groundwater supply.
A very light ideal spring with a spring constant (force constant) of 2.5N/cm pulls horizontally on an 18-kg box that is resting on a horizontal floor. The coefficient of static friction between the box and the floor is 0.65, and the coefficient of kinetic friction is 0.45. How long is the spring just as the box is ready to move? If the spring pulls the box along with a constant forward velocity of 1.75m/s, how long is the spring? how long is the spring if it pulls the box forward at a constant 2.75m/s?
(a) The length of the spring just as the box is ready to move is 5.1cm
(b) The length of the spring when it is pulled forward at a constant velocity of 1.75 m/s is 47.0 cm
(c) The length of the spring when it is pulled forward at a constant velocity of 2.75 m/s is 73.8 cm
What is the length of the spring just as the box is ready to move?The length of the spring just as the box is ready to move is calculated by applying the principle of conservation of energy.
work done by static friction = elastic potential energy of the spring
μmgx = ¹/₂kx²2
μmg = kx
x = 2μmg/k
where;
k is spring constant = 2.5 N/cm x 100 cm/m = 250 N/mμ is coefficient of static friction
g is the acceleration due to gravity
x is an extension of the spring
x = 2μmg/kx = (2 x 0.65 x 18 x 9.8) / 250x
= 0.051 m
x = 5.1 cm.
The length of the spring when it is pulled forward at a constant velocity of 1.75 m/s.elastic potential energy of spring = kinetic energy of the box
¹/₂kx² = ¹/₂mv² kx² = mv² x²
= mv²/kx
= √(mv²/k)
where;
m is the mass of the box
v is the speed of the box
x is the length of the spring
x = √(18 x 1.75²/250)x = 0.470 mx = 47.0 cm
The length of the spring when it is pulled forward at a constant velocity of 2.75 m/s.x = √(mv²/k)x = √(18 x 2.75²/250)
x = 0.738 m
x = 73.8 cm
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A 1500 kg car is traveling down the highway. If the force of air friction on the car is 250
N, with what force must the engine push forward on the car to keep it accelerating at 3
m/s²?
a. 4250 N
b. 4750 N
c. 14,450 N
d. 14,950 N
Answer:
b. 4750 N
Explanation:
F = ma
F = (1500)(3)
F = 4500 N
Force Total = Fa - Ff
4500 = Fa - 250
Fa = 4750 N
A grandfather clock is operated by a slowly falling mass attached to a pulley system. Winding the clock lifts the mass up again. A typical grandfather clock has a 0.750 kg mass that can fall and be lifted a height of 1.80 m. Calculate the increase in gravitational potential energy of the mass when the clock is wound.
13.23 joule is gravitational potential energy of the mass when the clock is wound.
potential energy, p = mgh
m= 0.750 kg
h= 1.80 m
g=9.8 m/s²
p = mgh
p=0.750×1.80 m×9.8 m/s²
p=13.23 joule
Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is squeezed or extended, its potential energy increases. If a steel ball is lifted above the ground as opposed to falling to the ground, it has higher potential energy. It is capable of performing more work when raised. Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has greater potential energy as they get further apart.
Potential energy develops in systems having components whose configurations, or relative positions, determine the amount of the forces they apply to one another.
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Radio waves and microwaves have what type of frequency and
wavelength?
A.low frequency & long wavelength
B.high frequency & short wavelength
C.medium frequency & long wavelength
D.High frequency & long wavelength
Radio waves and microwaves have A.)low frequency and long wavelength.
What type of frequency and wavelength do radio and microwaves have?
Microwaves are classified as radio waves, but they have higher frequencies than other radio waves. And so with higher frequencies, they also have more energy. That's is the reason, microwaves are useful for heating food in microwave ovens.
Microwaves have a long wavelength, but not as long as radio waves. The atmosphere of earth is transparent to some wavelengths of microwave radiation. The longer wavelengths pass through the atmosphere of earth more easily than the shorter wavelength microwaves.
Radio waves have photons with the low energies and microwaves have more energy as compared to radio waves.
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