The hanging mass that would produce an extension of 3.0cm is 4.5kg (option A).
How to calculate extension of a spring?The spring constant denoted by K is a measure of the stiffness of the spring. It is different for different springs and materials.
The larger the spring constant, the stiffer the spring and the more difficult it is to stretch.
The spring constant can be calculated using the following formula:
k = F/e
Where;
k = spring constant (Nm-¹)F = force (N)e = extension (cm)F = 15 × 3 = 45N
Since Force = mass × acceleration (10m/s²), the mass can be calculated as follows:
m = 45N ÷ 10m/s² = 4.5kg
Therefore, 4.5kg is the mass of the spring.
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A toy train with a mass of 2 kg moving at 10 m/s collides with a 2-kg toy train that is
stationary. If the two trains move together after the collision, what will be their speed after impact
Because momentum will be conserved, their common speed after impact will be 5 m/s
Third Newton's Law of MotionThe third Newton's law of motion states that in any action, there will be equal and opposite reaction.
Given that a toy train with a mass of 2 kg moving at 10 m/s collides with a 2-kg toy train that is stationary. If the two trains move together after the collision, their speed V after impact can be calculated through the formula
M1U1 + M2U2 = (M1 + M2)V
The given parameters are
M1 = 2 kgU1 = 10 m/sM2 = 2kgU2 = 0V = ?Substitute all the parameters into the formula
2 × 10 + 2 × 0 = (2 + 2)V
20 = 4V
V = 20/4
V = 5 m/s
Therefore, their speed after impact is 5 m/s
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a sphere of mass 3.9 ✕ 10-4 kg is suspended from a cord. a steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 32° with the vertical.
The push magnitude and the tension of the cord is 5.4 × 10^-4
What is cord ?
cord is the slender flexible material usually consisting of several stands or twisted together.
It is wired coverd in rubber or plastic which connects electrical equipment to an electricity supply.
The free body diagram as per the question with the tension of string T .
The force of gravity ~mg
The force of air ~f
Since the sphere is motionless the net force on it is 0.
And the x and y are the components of the equation are zero
Tsin + 0 = F
Tcos - mg= 0
Where ¥ = 32°
Thus we get
T= (3.9×10^-4 kg ) (9.8m/s^2)/cos32°
= 2.1×3.2×10^-4
Solving T
We can get the F =
(3.2×10^-4)sin 32° =
5.4 ×10^-4
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When a plane descends from its cruising height to land on a runway, 78 400 000J of gravitational potential energy is transferred. If the mass of the plane is 40 000 kg, what was the cruising altitude of the plane before its descent?
The cruising altitude of the plane of mass 40000 kg before its descent is 196 m
U = m g h
U = Gravitational potential energy
m = Mass
g = Acceleration due to gravity
h = Vertical height
U = 78400000 J
m = 40000 kg
g = 10 m / s²
h = U / m g
h = 78400000 / 40000 * 10
h = 196 m
Gravitational potential energy is a type of energy related to gravity. It is energy acquired by an object due to its change in position in the presence of gravitational field.
Therefore, the cruising altitude of the plane before its descent is 196 m
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if you have not already done so, convert 70 mmhg and 120 mmhg into si pressure units. now that your pressures are in si units, critically think about your original claim regarding the heart’s blood pressure as either gauge pressure or absolute pressure. how does this pressure compare to atmospheric pressure? justify your reasoning regarding gauge pressure vs. absolute pressure in terms of how the body pressure compares to atmospheric pressure, which is also a pressure that is being (nearly) uniformly externed on the body at all times.
70 mmHg will convert to 9.333kpa pressure SI units while 20 mmHg will convert to 16kpa pressure SI units.
Absolute pressure for 70 mmHg is 110.658kpa
Absolute pressure for 120 mmHg is 117.325kpa
Converting 70 mmHg and 120 mmHg into SI pressure units:
If 760 mmHg=101.325kpa
∴ 70 mmHg=?
= 70*101.325/760
=9.333kpa
So 70 mmHg will be 9.333kpa
If 760 mmHg=101.325kpa
∴120 mmHg=?
=120*101.325/760
=16kpa
So 120 mmHg will be 16kpa
Blood pressure is generally measured in mmHg because mercury is used in the thermometers, so it is convenient to measure the pressure by rise in height of mercury in the thermometer.
However pressure measured by the thermometer is always gauge pressure, given by:
[tex]P_{gauge} =P_{abs} -P_{0}[/tex], where [tex]P_{0}[/tex] is atmospheric pressure and [tex]P_{abs}[/tex] is absolute pressure.
We now calculate absolute pressure for [tex]P_{1}[/tex] 70 mmHg and [tex]P_{2}[/tex] 120 mmHg,
[tex]P_{1} abs=P_{1} g+P_{0}[/tex]
[tex]=101.325+9.333[/tex]
=110.658kpa
[tex]P_{2} abs=P_{2} g+P_{0[/tex]
=101.325+16
=117.325kpa
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If you ride a bike at a constant speed in a circle on a flat surface that has a coefficient of kinetic friction of 0.27. What is the centripetal acceleration of the bike?
The centripetal acceleration of the bike is 2.65 m/s².
What is centripetal acceleration?
Centripetal acceleration is the acceleration of an object moving in a circular track. This acceleration describes the rate of change of tangential velocity with time in the circular track.
The magnitude of the centripetal acceleration, can be determined by applying the formula for net force.
At constant speed, the centripetal acceleration of the bike is given as;
μmg = ma
μg = a
a = μg
where;
μ is coefficient of frictiong is acceleration due to gravitya = (0.27) x (9.8 m/s²)
a = 2.65 m/s²
Thus, the centripetal acceleration of the bike increases with increase in velocity.
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A negatively charged conductor is brought in contact with a neutral conductor.
Which choice most accurately describes the motion of charge between these two objects?
The electrons in the charged object are attracted to the protons in the neutral object. Some of the electrons move from the
charged object to the neutral object, resulting in two negatively charged objects.
The protons in the neutral object are attracted to the charged object. Some of the protons move from the charged object
O to the neutral object. Finally, the neutral object becomes negatively charged, while the initial charged object becomes
neutral.
The protons in the neutral object are attracted to the charged object. Some of the protons move from the charged object
to the neutral object, resulting in two negatively charged objects.
The electrons in the charged object are attracted to the protons in the neutral object. Some of the electrons move from the
O charged object to the neutral object. Finally, the neutral object becomes negatively charged, while the initial charged
object becomes neutral.
When a negatively charged conductor is brought in contact with a neutral conductor, then both objects become charged negatively.
Conductors are substances through which electrons flow freely. When a conducting material has a charge, the charges repel and move away from each other, distributing themselves evenly about the outer surface .
Charging by conduction involves the contact between a charged and a neutral object. Therefore, when an uncharged conductor is brought in contact with a charged conductor, charge is shared between the two conductors and hence the uncharged conductor also gets charged.
Both objects have the same type of charge, during charging by conduction. If a negative object is used to charge a neutral object, then both objects become negatively charged.
Any charged object whether positively or negatively charged have an attractive interaction with a neutral object. Positively charged and neutral objects attract each other and similarly negatively charged and neutral objects attract each other.
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in the winter sport of bobsledding, athletes push their sled along a horizontal ice surface and then hop on the sled as it starts to careen down the steeply sloped track. in one event, the sled reaches a top speed of 9.2 m/sm/s before starting down the initial part of the track, which is sloped downward at an angle of 9.0 ∘∘.
Due to the principle of energy conservation, the sled's initial potential and kinetic energy are identical to its ultimate kinetic energy. So the correct answer is vf =21.71 m/s.
According to no 12th law, additional forces are equal to M. A. Therefore, in this instance, MG sine data equals M. A. This will give us A. equals theta in the G symbol It will be the first equation at A. equals D B divided by D T. By using dx by DT, or D X by D T, we can multiply and divide. D X's indu D D. As a result, we shall obtain V D V by D X equals a. The second equation will be this.
The result of equation 192 is then that D V by D X equals G sign theta. Therefore, V D V is G scientology to be X equal. Now that D V equals integral energy, we can integrate this integral. G sign to D X to D. that we will receive G scientific data is equivalent to energy We Squire divided by two. X. We'll see. At X=0, nothing happens. We will have a speed of 9.2 m/s. 9.2 squared divided by two will equal C. 42.32 is what that comes to.
Then we divide Squire by two to get theta in the G sign. X + 42.32. Then, using this information, we can determine that we are equivalent to the root energy of two indu G sine theta into X plus 42.32. The numbers that are route off two can be changed to 9.8 m/s. Nine degree Squire In is 0.156. surplus food industry 1 40 m less 42.32. We shall therefore arrive at a quanto of 21.71 m/s by solving this.
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Which of the following can be considered mechanical energy?
A. a hot bowl of soup
B. plant growth
C. doing bicep curls
C. doing bicep curls.
Explanation:
why? A. is considered thermal energy.
B. is considered solar energy to chemical energy.
Consider the following system, where F = 120 N, m = 1 kg, and M = 5 kg. What is the magnitude of the force with which one block acts on the other?
Consider the following system, where F = 120 N, m = 1 kg, and M = 5 kg. Force exerted by the lighter block on the heavier block is F_2=20N
What is the magnitude of the force?F = 120N
m = 1kg
M = 5kg
Generally, the equation for acceleration is mathematically given as
[tex]a=\frac{F}{m+M} \\\\a=\frac{120}{1+5} \\[/tex]
a=20m/s^2
Let's formulate the heavier block's equation of motion.
F_1=F-F_2
Ma=F-F_2
It is estimated that the lighter block will exert the following force on the heavier block:
[tex]&F_2=\mathrm{F}-\mathrm{Ma} \\&F_2=120-(5 *20) \\[/tex]
F_2=20N
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Qno6: Two singers are singing simultaneouldy with intensity level of 60 db of each in a hall.
a.is intensity of sound in the hall is doubled?
b.is the intensity level of the sound is doubled
The intensity of sound in each hall will not be doubled.
The intensity of sound may be defined as, the power carried by sound waves per unit area in a direction perpendicular to that area. The intensity of sound is measured in decibel i.e. the unit is written as (dB).
It can be formulated as ,
I = pv
Where, I is the intensity of the sound, p is the pressure of sound, v is the velocity of the particle. And here, I and v are vectors, therefore they both have a magnitude and a direction. The average direction of energy flow is represented by the direction of sound intensity.
Therefore, due to the fact that our hearing is not linear and dB is a logarithmic scale, even though the energy may have doubled, the perceived intensity has not. In actuality, one of the singers' voices may both hide the other's and have the potential to improve it.
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HELP!!Use complete sentences to answer these questions.
1. Share an example from your house or neighborhood that represents a physical change occurring.
2. Share an example from your house or neighborhood that represents a chemical change occurring.
It is a multistep plan or strategy that allows you to achieve your goals.
1.
Which of the following atoms has the smallest radius?
The Periodic Table
A. Cesium (Cs)
B. Potassium (K)
C. Sodium (Na)
D. Lithium (Li)
Answer:
answer= lithium
Explanation:
electronic configuration
if you drive your car at 20 miles per hour and then accelerate at a rate of 3 miles per hour every second how fast will you be going after 8 seconds? PLEASE I NEED HELP NOW
The velocity of the car after 8 seconds of the drive will be 20.0066 miles/hr.
What is Acceleration?
Acceleration is defined as the rate of change of velocity with respect to time.
Given that you are driving your car at 20 miles per hour and then accelerate at a rate of 3 miles per hour every second.
We can calculate the acceleration using the formula -
a = Δv/Δt
a = (v - u)/t
Now -
t = 8 seconds = 0.0022 hrs
Then -
3 = (v - 20)/0.0022
3 x 0.0022 = v - 20
v = 20.0066 miles/hr
Therefore, the velocity of the car after 8 seconds of the drive will be 20.0066 miles/hr.
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Would is divide or subtract or add or multiply
Answer:
I think it would be multiplied or added.
the motion of one particle of a gas is unaffected by the motion of other particles of the gas unless the particles _____.
The motion of one particle of a gas is unaffected by the motion of other particles of the gas unless the particles collide.
What causes the motion of particles?Heat is the primary cause of particle motion on Earth. The temperature of any substance is correlated with the energy of the atoms and molecules that comprise it. Energy is conserved, thus if one particle loses energy, another one acquires it.
What is the motion of particles of matter called?The components of matter are also continually in motion. They are energetic in motion. The kinetic theory of matter states that all matter is made up of particles that are constantly moving.
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a transformer has 1,400 turns in the primary coil and 100 turns in the secondary coil. if the primary coil is connected to a 120 v outlet and draw 0.04 a, what is the current of the secondary coil?
0.56 A is the current of the secondary coil.
transformer is the device that transfer electric energy from one AC circuit to another.
we know that ;
I ∝ 1/n;
where I IS CURRENT and n is NUMBER OF TURNS.
(I) secondary = X A
(n) secondary = 100
(I) primary = 0.04 A
(n) primary = 1400
USING THIS-----> I ∝ 1/n;
=>
0.04 A/X A =100/1400
=>X=0.56 A
as the current in the transformer is inversely proportional to the number of turns so 0.56 A is the current in the secondary coil.
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A place kicker must kick a football from a point 31.5 m from a goal. As a result of the kick, the ball must clear the crossbar, which is 3.05 m high. When kicked the ball leaves the ground with a speed of 20.2 m/s at an angle of 53° to the horizontal.
(a) By how much does the ball clear or fall short of clearing the crossbar?
(b) Does the ball approach the crossbar while still rising or while falling?
(a) The ball cleared the crossbar by 10.23 m.
(b) The ball approaches the crossbar while falling.
What is the maximum height reached by the ball?
The maximum height reached by the ball is calculated by applying the following kinematic equation as shown below;
H = u² sin²θ / 2g
where;
u is the initial velocity of the ballθ is the angle of projection of the ballg is acceleration due to gravityH = (20.2² x (sin 53)²) / (2 x 9.8)
H = 13.28 m
ΔH = 13.28 m - 3.05 m = 10.23 m
The horizontal distance travelled by the ball is calculated as follows;
R = u² sin(2θ) / g
R = (20.2² sin(2 x 53) ) / (9.8)
R = 40 m
Thus, the ball cleared the crossbar and since the maximum height travelled by the ball is far greater than the height of the crossbar, the ball will approach the crossbar while falling.
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An object travels in a complete circle with circumference 50m over 10 seconds. Identify the correct statement about this trip.
a. speed and average velocity are both positive
b. speed and average velocity are both zero
c. speed is positive and average velocity is zero
d. speed is zero and average velocity is positive
The true statement is that speed and average velocity are both positive.
What is the speed?The term speed has to do with the ratio of the distance that has been covered by a body with time. Now, we know that the distance is a scalar quantity, this implies that we do not take the direction to account anytime that we have to deal with the speed of a body. Thus the speed has been shown to be a scalar.
On the other hand the velocity of a body is the ratio of the displacement to the time taken by the object and the displacement is a vector quantity thus we have to take the direction account when looking at the velocity.
We know that the direction of the velocity changes as it moves round the circle. This implies that the velocity of the body changes and its positive. The speed is also positive.
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4. A vehicle is moving at 5 ms. How long will it take to stop at a distance of 15m
Answer:
time is 3 seconds.
Explanation:
formula is given in the picture
in about 1915, henry sincosky of philadelphia suspended himself from a rafter by gripping the rafter with the thumb of each hand on one side and the fingers on the opposite side (fig. 6-21). sincosky’s mass was 79 kg. if the coefficient of static friction between hand and rafter was 0.70, what was the least magnitude of the normal force on the rafter from each thumb or opposite fingers? (after suspending himself, sincosky chinned himself on the rafter and then moved hand-over-hand along the rafter. if you do not think sincosky’s grip was remarkable, try to repeat his stunt
The least magnitude of the normal force on the rafter from each thumb or opposite fingers is 276.5 Newtons.
As we know, henry is suspended by using his hands.
If he not going upward or downwards. we can conclude that the magnitude of all forces should be cancelling each other.
The force that is stopping the thumbs and the finger is frictional force.
Friction force f is a kind of force that comes into play when their is an actual slipping or the tendency to slip between any two contacted surface.
f = μN
where N is the normal force.
The net friction force should be equal to the total weight if the body,
Frictional force f by the fingers can be distributed equally in four parts,
mg = 4f
mg = 4μN
Mass is 79 Kg. g is 9.8m/s² and the value of μ is 0.7.
79 x 9.8 = 4 x 0.7 x N
N = 276.5 newtons.
So the least normal force on the each thumb and fingers is 276.5 N.
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person on a cruise ship is doing laps on the promenade deck. On one portion of the track the person is moving north with a speed of 3.9 ms relative to the ship. The ship moves east with a speed of 12 ms relative to the water.
The resultant speed of the person on the cruise ship is 12.62 m/s.
What is resultant speed?The resultant speed of an object is the single speed which can effectively represent two or more speed of the object.
The magnitude of the resultant speed of the person on a cruise ship is calculated as follows;
Vr² = Va² + Vb²
where;
Vr is the resultant speed of the personVa is the speed of the person to the northVb is the speed of the person to the eastSubstitute the value of the north speed and east speed to determine the resultant speed of the person on the ship.
Vr = √Va² + Vb²
Vr = √[(3.9 m/s)² + (12 m/s)² ]
Vr = 12.62 m/s
Thus, for a person on a cruise ship is doing laps on the promenade deck at a speed of 3.9 m/s to the north and the speed of the ship 12 m/s to the east, the resultant speed is 12.62 m/s.
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The complete question is below:
person on a cruise ship is doing laps on the promenade deck. On one portion of the track the person is moving north with a speed of 3.9 ms relative to the ship. The ship moves east with a speed of 12 ms relative to the water. Find the resultant speed of the person
After looking at sound waves in this way, why do you think people prefer to view sound waves transverse waves rather than
longitudinal?
Only surface waves and shear waves, which require a solid for propagation, are transverse waves. Solids also support longitudinal waves. Fluids like air and water can only support longitudinal waves.That's why people prefer to view sound waves transverse waves rather than longitudinal.
Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples, the gravitational force between them will change by a factor of what?.
The gravitational force between them will change by a factor 1/9.
We need to know about gravitational force to solve this problem. The gravitational force is the force caused by two masses objects. The magnitude of gravitational force can be determined as
F = G.m1.m2 / R²
where F is the gravitational force, G is the gravitational constant (6.674 × 10¯¹¹ Nm²/kg²), m1 and m2 are the mass of the object and R is the radius.
From the question above, we know that
R2 = 3R1
By substituting the following parameters, we get
F2/F1 = G.m1.m2 / R2² / G.m1.m2 / R1²
F2/F1 = G.m1.m2 / (3R1)² / G.m1.m2 / R1²
F2/F1 = 1/9
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I need help with my homework asap. Please
The molecules receive more energy and move faster after they have been heated up.
What is conduction?The term conduction has to do with the process by which heat is transferred along a body by the movement of the particles of the substance. There are three main modes of heat transfer and these are;
ConductionConvectionRadiationNow, we can see that before the flame was introduced, the molecules of the substances all maintained the same average position. The molecules do not move except there is a supply of energy.
Now, when we turn on the flame, we would notice that we have imparted additional energy to the particles that are in the solid when we heat it up. As such, the particles move more freely and we can see that as the motion of the particles in the image. The portion that shows the particles after the heating shows that they are now translating.
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The most dangerous particles in polluted air are those with diameters less than because they can penetrate deeply into the lungs. a 15-cm-tall closed container holds a sample of polluted air containing many spherical particles with a diameter of and a mass of . how long does it take for all of the particles to settle to the bottom of the container?
The time taken for all of the particles to settle to the bottom of the container is 0.18 seconds.
What is time of motion?The time of motion of an object is the time taken for the object to travel from its initial position to final position.
Mathematically, the formula for calculating the time of motion of an object is given by;
h = vt + ¹/₂gt²
where;
h is the height of fall of the objectv is the initial vertical velocity of the objectt is time of motion of the objectg is acceleration due to gravityFor, this given question, we have the following parameters;
height of fall of the particles, h = 15 cm = 0.15 minitial vertical velocity of the particle, v = 0acceleration due to gravity, g = 9.8 m/s²h = ¹/₂gt²
2h = gt²
t² = 2h/g
t = √(2h/g)
t = √(2 x 0.15 / 9.8)
t = 0.18 s
Thus, we can conclude that, since the height of fall of the particle is small, it will take the particle short time to fall.
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A cat chases a mouse across a 0.94 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 1.0 m from the edge of the table. The acceleration of gravity is 9.81 m/s 2 . What was the cat’s speed when it slid off the table? Answer in units of m/s
The speed of the cat when it slide off the table is 2.27 m/s
To obtain the answer to the given question, we'll begin by obtainig the time taken for the cat to strike the floor. This can be obtained as follow:
Height (h) = 0.94 mAcceleration due to gravity (g) = 9.81 m/s²Time (t) = ?h = ½gt²
0.94 = ½ × 9.81 × t²
0.94 = 4.905 × t²
Divide both side by 4.905
t² = 0.94 / 4.905
Take the square root of both side
t = √(0.94 / 4.905)
t = 0.44 s
How to determine the speedThe speed of the cat can be obatined as illustrated below:
Horizontal distance (s) = 1 mTime (t) = 0.44 sspeed (u) = ?s = ut
1 = u × 0.44
Divide both sides by 0.44
u = 1 / 0.44
u = 2.27 m/s
Thus, we can conclude that the speed of the cat is 2.27 m/s
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Are leaders born or made? What factors influence a person’s leadership style? FIRST TO ANSWER BRAINLIEST RIGHT
Answer:
Leaders are made but ultimately both can be true.
Explanation:
Recent scientific studies suggest that leadership is 30% genetic and 70% learned. These findings propose that leaders are made not born. Ultimately, the answer is that both are true: a person can be born with natural leadership abilities, and someone can learn how to be a good leader at work. Leadership is a set of skills that can be learned by training, perception, practice and experience over time. Leadership learning is lifetime activity. Good leaders seek out development opportunities that will help them learn new skills.
Answer:
Well it's the past which really impacts
Explanation:
Most of the time a leader is made, it's not definite that a person has characteristics of a leader since his/her childhood. It's the impact mostly which determines and the way your parents raised you or are you independent who can solve problems on his or her own. If you have seen the world and have learned lessons from your mistake it's easy for you to have leadership qualities because you know what are the risks of something or is something worth your time.
That's what I think
The inner diameter of a small test-tube Can be measured accurately using
Answer:
the Vernier caliper
Explanation:
Answer:
Vernier caliper
PLSS MARK AS BRAINLIEST
Two vectors A1 and A2 each of magnitude are inclined to each other such that their resultant is equal to √3Afind the resultant of vectorA1 1 and -A1
When A1 and -A1 are of the same magnitude but the opposite direction, their total will be zero.
what is vector?
A quantity or phenom with independent property for the both magnitude and direction is called a vector. The term may also refer to a quantity's mathematical or geometrical representation. Velocity, electromagnetic fields, and weight are just a few examples of vectors in nature.
0 is the intersection of line A1 and -A1.
Both the matrices A1 and A2 have the same magnitude, which itself is A
|A1| = A , |A2| = A
the result of A1 and A2 is 3 A
Hence, 3 A = (A2 + A2 + 2A2 cos x)
3A2 = 2A2 + 2A2 cos x
=> 1/2 = cos x
x = 60°
A1 and A2 are at an angle of 60 °.
Now, we must find the product of A1 and -A1. These vectors create a 180° angle.
the product of A1 and -A1 is (A2 + A2 + 2A2 cos 180°
=> √(2A²-2A²)
=> 0
When A1 and -A1 are of the same magnitude but the opposite direction, their total will be zero.
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3.
- The north and south poles of a
solenoid change with
A the type of material in the core
B the number of loops in the coil
C the tightness of loops in the coil
D the direction of the current
"The direction of the current."
A solenoid's north and south poles are determined by two variables. two factors: the winding direction and the direction in which the stream flows (clockwise or counter-clockwise). The positive pole of the power source (such as a battery) should be determined first, followed by the end of the solenoid that will be connected to it.
Now, determine which way the winding is going by peering down the solenoid tube. The south pole is present if the positive wire is rotated clockwise, and the north pole is present if it is rotated counterclockwise. In conclusion, the magnetic south pole is always in reference to the positive wire clockwise.
The magnet's poles will be created as a result of current flowing through the solenoid, and the clock face rule in a solenoid is used to predict their positions. According to the rule, the south pole will be formed if you gaze through a solenoid at a location where the current runs in a clockwise direction. On the other hand, the north pole will be visible if viewed from the side where the current is flowing counterclockwise.
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