Answer:
Mass=0.143 kg
Explanation:
From the Newton's second law of motion the force applied to an object is directly proportional to the acceleration produced and the acceleration is in the direction of the force.
F=ma where F is the force, m is the mass of the object and a i the acceleration.
m=F/a
=4.719N/33 m/s²
=0.143 kg
A long uniform thin rod of length 55 cm and mass 1.2 kg in FIGURE 2 rotates in
the plane of the figure about an axis through one end of the rod. As the rod
swings through its lowest position, it collides with a 200 g putty wad that sticks to the end of the thin rod. Given the rod's angular speed just before the collision is 3 rad/s. Calculate
(i) the moment of inertia of the long thin rod.
(ii) the initial angular momentum of the system before the collision.
(iii) the angular speed of the rod-putty wad system immediately after collision.
Answer:
(i) 0.121 kg m²
(ii) 0.363 kg m²/s
(iii) 2 rad/s
Explanation:
(i) The moment of inertia of a rod about its end is:
I = 1/3 mr²
where m is the mass and r is the length.
Given m = 1.2 kg and r = 0.55 m:
I = 1/3 (1.2 kg) (0.55 m)²
I = 0.121 kg m²
(ii) Angular momentum is the moment of inertia times the angular velocity:
L = Iω
L = (0.121 kg m²) (3 rad/s)
L = 0.363 kg m²/s
(iii) This time, the moment of inertia of the putty is included.
I = 1/3 mr² + Mr²
I = 0.121 kg m² + (0.2 kg) (0.55 m)²
I = 0.1815 kg m²
Angular momentum is conserved:
L = Iω
0.363 kg m² = (0.1815 kg m²) ω
ω = 2 rad/s
The Biot-Savart force law deals specifically with:
a/the magnetic field surrounding a long, straight wire
b/ currents induced in a conductor
c/ the duplication of poles in a bisected bar magnet
d/ the force between magnetic poles
Answer: a. the magnetic field surrounding a long, straight wire
Explanation:
The Biot-Savart law was formulated by Jean Baptiste Biot and Felix Savart and describes how a magnetic field is generated by a stationary electric current.
In other words:
The law formulated by Biot and Savart relates the magnetic fields with the currents that create them.
Therefore, the correct option is a.
The magnetic field surrounding a long, straight wire.
Answer:
a) the magnetic field surrounding a long, straight wire
Explanation:
The Biot-Savart force law states that when an electrical conductor is passed through an electric current, a magnetic field will spontaneously appear around it. A characteristic of this magnetic field is that it is constituted by lines of force that are circular so that we can place compasses at different points at the end of the field and the north of each one will always face the tangential direction of the lines of the field.
This effect was discovered by Hans Christian Oersted, who realized through experiments that a magnetic needle positioned parallel to an electrical conductor would undergo significant deflection in relation to its original position. We can know the direction and direction of the magnetic field generated through the Right Hand Rule and its value at different points through the Biot-Savart Law.
If you could travel at the speed of light, how long would it take to travel from our solar
system to the nearest star?
Answer:
4.689 years
Explanation:
Traveling at light speed, it takes about 4.2 years to reach the nearest star from our solar system.
If you could travel at the speed of light, how long would it take to travel from our solar system to the nearest star?
Traveling at the speed of light, it would take approximately 4.2 years to reach the nearest star Alpha Centauri, which is 4.2 light-years away. This is due to the distance light needs to travel to cover the expanse between our solar system and the star.
What is the correct definition of momentum, p =
Question 18 options:
The momentum of an object is the product of its mass and its velocity.
The momentum p is related as, p = mv
Explanation:
Momentum of an object is defined by the two variables;
(i) mass of the object
(ii) velocity at which the object travels.
Hence momentum is the product of the above two variables it is directly proportional to them and it is represented by the unit (kg.m) / s where kg represents the mass of the object, m / s for velocity of the object.
Multiple reverberations or reflections of sound can interfere with sound quality.
True
False
Multiple reflection causes interference in the sound quality is a TRUE statement.
Explanation:
The reverberation is the cause of interference which is a prolonged sound wave or can also be termed as resonance of sound waves. The sound wave is reflected in an ample amount of time which leads to absorbance of the wave in the medium, therefore, the quality of sound declines in the propagation of the sound wave.
It's the year 2078, and you're traveling from Earth to the Moon. To determine how much fuel you need for
the rocket ship, you measure your mass upon boarding. When you land on the Moon, your
hasn't changed. Your
, however, has changed. You feel lighter because the
gravity is lower
Answer:
It’s the year 2078, and you’re traveling from Earth to the Moon. To determine how much fuel you need for the rocket ship, you measure your mass upon boarding. When you land on the Moon, your Mass hasn’t changed. Your Weight, however, has changed. You feel lighter because the Force of gravity is lower.
Explanation:
I got this right on Edmentum. Have a great day and I hope this helped!
Your mass remains the same when traveling from Earth to the Moon, but your weight decreases because the Moon's gravity is weaker. Weight is a measure of the force of gravity, which is weaker on the Moon. However, mass is not influenced by gravity and therefore remains constant.
Explanation:The subject in question relates to the concept of mass and weight and how they are affected by changes in gravity. When traveling from Earth to the Moon as mentioned in your scenario, your mass remains the same, but your weight changes because weight is a measure of the force of gravity on your mass. The value of gravity on Earth is 9.8 m/s² whereas on the Moon it is only 1.67 m/s², which is much less. Therefore, you would feel lighter on the Moon because the gravitational pull is weaker, causing you to weigh less. This change in weight doesn't mean your mass has lowered; mass remains consistent regardless of the gravitational pull.
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When a mass on a spring is at maximum displacement, what quantity is at a minimum?
Answer:
The velocity
Explanation:
For a mass-spring system, the total mechanical energy is constant during the motion. The total mechanical energy is sum of the elastic potential energy, U, and the kinetic energy, K:
[tex]E=U+K=\frac{1}{2}kx^2+\frac{1}{2}mv^2[/tex]
where
k is the spring constant
x is the displacement
m is the mass
v is the velocity
Since E must remain constant, we see that when x increases, v decreases, and vice-versa. Therefore, when x (the displacement) is at maximum, v (the velocity) is at minimum (more precisely, it is zero).
What's the differentiating characteristic between an element and a compound
Answer:
an element is a pure substance whereas a compound is a mixture of two or more elements.
The basic difference between a compound and an element is its constituents, in which the element is a pure individual chemical substance which has similar atom and compound is a mixture of two or more elements bounded chemically.
Explanation:
Elements:
Elements are pure homogenous substance. Elements have similar atoms grouped together. Element is being represented with the chemical scientific symbol.Compounds:
Compound are heterogeneous mixture of elements. Compound has different atoms which is combined in fixed ratio. Compound is given by chemical formula.A substance that is easily magnetized is a
Answer:
the correct answer is ferromagnetic.
The substance which can get easily magnetized is a ferromagnetic substance.
Explanation:
The magnetic properties of a substance classifies any substance into two kinds of substances or materials. These are ferromagnetic substances or the paramagnetic substances.
These two have been classified on the basis of being magnetized. Ferromagnetic substances gets easily magnetized whereas the paramagnetic substances do not get magnetize easily.
Examples of ferromagnetic substances: Iron, Cobalt or Nickel.
Heat is ____ energy that is transferred from one object at a certain temperature to another at a different temperature
Answer: Kinetic or Thermal
A 0.111 kg hockey puck moving at 55 m/s is caught by a 80. kg goalie at rest. with what speed does the goalie slide on the frictionless ice?
Answer:
0.076 m/s
Explanation:
Momentum is conserved:
m v = (m + M) V
(0.111 kg) (55 m/s) = (0.111 kg + 80. kg) V
V = 0.076 m/s
After catching the puck, the goalie slides at 0.076 m/s.
The speed with which the goalie slide on the frictionless ice is 0.076 m/s.
From the principle of conservation of linear momentum;
Momentum before collision = momentum after collision
Mass of the hockey puck = 0.111 kg
Speed of the hockey puck = 55 m/s
Mass of the goalie = 80 kg
Speed of the goalie = 0 m/s
Following the law of conservation of linear momentum;
(0.111 kg × 55 m/s) + (80 kg × 0 m/s) = (0.111 kg + 80 kg) V
V = (0.111 kg × 55 m/s) + (80 kg × 0 m/s)/ (0.111 kg + 80 kg)
V = 6.105/80.111
V = 0.076 m/s
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My question is in the image below
Answer:
(a) 7.59 V
Explanation:
The current in the circuit is 0, so we can ignore the resistor in the circuit.
Capacitors in series have the same charge, so:
Q₁ = Q₂
C₁ V₁ = C₂ V₂
8.25 V₁ = 14.2 V₂
By Kirchoff's voltage law, the sum of the voltage drops equals the source voltage.
V₁ + V₂ = 12
We have two equations and two variables. Let's solve with substitution.
V₂ = 12 − V₁
8.25 V₁ = 14.2 (12 − V₁)
8.25 V₁ = 170.4 − 14.2 V₁
22.45 V₁ = 170.4
V₁ = 7.59
A uniform metre rule of mass 200g is pivoted at 0cm mark. Calculate the force which would be applied vertically up at the 60cm mark to keep the rule horizontal
Explanation:
There are two forces acting on the ruler: weight pulling down halfway at the 50cm mark, and the upward force at the 60cm mark.
Sum of the moments about the pivot:
∑τ = Iα
F (0.60) − (0.200) (9.8) (0.50) = 0
F = 1.63 N
Answer:
The force needed is 1.7N
A cubical wooden box floating on water rises 1cm when 400 gm of stone is
removed from it. What will be volume of this box?
Answer:
Explanation:
I'm not sure you can do this without just a bit more information. I can tell you what the mass of the water is when the rocks are removed. When we know that, we know the volume of the water that was displaced. whether or not this is enough information to determine the volume of the box, I'm not sure.
400 grams raises the box 1 cm.
The density of water = 1 gm / cm^3
400 grams of water = 400 mL or 400 cm^3
The volume of the displaced water = 400 cm^3
The volume a slice from the square prism is B*h
B = 400 cm^2
h = 1 cm
If the base is 400 cm^2 then each side is
s^2 = 400
sqrt(s^2)= sqrt(400)
s = 20
The volume of the box is 20^3 = 8000 cm^3
which one of the following is not a step in the inquiry process
A. Investigate
B. Classify
C. Summarize
D. Observe
Answer: (B) Classify
Explanation:
The classify is not the part of the inquiry process as the inquiry process are basically based on the different types of observations and then summarize it properly after the investigation. Without any observation we cannot classifying the specific things.
The inquiry is the process that include investigation planning and making the proper observation about the incident.
Then, collect all the related information and summarize all the process. It also include analyzing process, interpretation of the data and reviewing process.
Therefore, option (B) is correct.
to find power we need to determine?
Answer:
Work and time needed to the work
Explanation:
Power is defined as follows:
[tex]P=\frac{W}{t}[/tex]
where
P is the power
W is the work done
t is the time needed to do the work
Since the work can also be rewritten as the product between force (F) and displacement (d):
W = F d
The power can be also rewritten as
[tex]W=\frac{Fd}{t}[/tex]
But [tex]\frac{d}{t}[/tex] is equal to the velocity, v; so, power can be rewritten as product between force and velocity:
[tex]P=Fv[/tex]
An object floats in liquid of density 1.2×10kgm/3 with one quarter of its volume above the liquid surface. Determine the density of the object
Answer:
900 kg/m³
Explanation:
There are two forces on the object: weight and buoyancy.
Newton's second law:
∑F = ma
B − W = 0
B = W
Weight is mass times gravity:
W = m₀ g
Mass is density times volume:
W = ρ₀ V₀ g
Buoyancy force is equal to the weight of displaced fluid:
B = ρ V g
Therefore:
ρ V g = ρ₀ V₀ g
ρ V = ρ₀ V₀
ρ₀ = ρ V / V₀
One quarter of the object's volume is above the liquid, which means three quarters of its volume is below the surface.
Given that V = ¾ V₀ and ρ = 1200 kg/m³:
ρ₀ = 1200 (3/4)
ρ₀ = 900 kg/m³
If the mass of an object is 8 kg and its momentum is -80 kgm/s, what is its velocity?
A. 10 m/s
B. 12 m/s
C. 8 m/s
D. -10 m/s
An object's momentum is the product of its mass and its velocity:
p = mv
p is its momentum, m is its mass, and v is its velocity.
Given values:
p = -80kg×m/s
m = 8kg
Plug in these values and solve for v:
-80 = 8v
v = -10m/s
Choice D
The velocity is Option D. -10 m/s
What is velocity?Velocity is the speed at which something moves in the same direction. For example, the speed of a car traveling north on a highway, or the speed a rocket travels after launching.Velocity is defined as the displacement of an object in a unit of time.The formula of velocity isv = p/m
v = velocity
p = momentum
m = mass of the object
An object's momentum exists as the product of its mass and its velocity:
p = mv
p is its momentum, m exists its mass, and v stands for its velocity.
Given values:
p = -80kg×m/s
m = 8kg
Plug in these values and solve for v:
-80 = 8v
v = -10m/s
The SI unit of velocity is m/s.Velocity is also defined as the rate of change of displacement of the body with respect to time.The velocity is Option D. -10 m/s
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A vessel (see the figure) comprises of into two chambers
X and Y with an adiabatic wall. The adiabatic wall can
move freely. The chambers X and Y contain an ideal gas
under the condition that pressure P, volume V, and
temperature T are all same, respectively. The system
gains an equilibrium fate after heating when the
temperature of chamber X becomes 3T. while the
temperature of chamber Y is always constant at T. The
gas pressure of chamber Y at the equilibrium after the
heating is ....
Answer:
(C) 2P
Explanation:
Ideal gas law states:
PV = nRT
n (the number of moles) and R (ideal gas constant) are constant, so we can say:
(PV / T) before = (PV / T) after
Chamber X starts at pressure P, volume V, and temperature T. At equilibrium, the pressure is Px, the volume is Vx, and temperature 3T.
PV / T = Px Vx / 3T
Chamber Y starts at pressure P, volume V, and temperature T. At equilibrium, the pressure is Py, the volume is Vy, and temperature T.
PV / T = Py Vy / T
Substituting and simplifying:
Px Vx / 3T = Py Vy / T
Px Vx / 3 = Py Vy
Since the chambers are at equilibrium, Px = Py:
Vx / 3 = Vy
Vx = 3 Vy
The total volume is the same as before, so:
Vx + Vy = 2V
Substituting:
(3 Vy) + Vy = 2V
4 Vy = 2V
Vy = V / 2
Now if we substitute into our equation for chamber Y:
PV / T = Py (V/2) / T
PV = Py (V/2)
Py = 2P
The pressure in chamber Y (and chamber X) doubles at equilibrium.
The gas pressure of chamber Y at the equilibrium after the
heating is 2P.
What is Ideal gas law?
This is defined as the equation of state of a hypothetical ideal gas and it is depicted by the following below:
PV = nRT
We can infer that the number of moles(n) and R (ideal gas constant) are constant
PV / T (Initial) = PV / T (Final)
We were told that Chamber X starts at pressure P, volume V, and temperature T. At equilibrium, the pressure is Px, the volume is Vx, and temperature 3T.
PV / T = P V / 3T
We were also told that Chamber Y starts at pressure P, volume V, and temperature T. At equilibrium, the pressure is Py, the volume is Vy, and temperature T.
PV / T = Py Vy / T
Substitute into the equation:
Px Vx / 3T = Py Vy / T
Px Vx / 3 = Py Vy
At equilibrium, the chambers are : Px = Py:
Vx / 3 = Vy
Vx = 3 Vy
The total volume is the same as before, so:
Vx + Vy = 2V
Substitute into the equation
(3 Vy) + Vy = 2V
4 Vy = 2V
Vy = V / 2
Substitute into our equation for chamber Y:
PV / T = Py (V/2) / T
PV = Py (V/2)
Py = 2P
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label the samples based on their pH levels
In Chemistry, pH levels can be determined using acid-base indicators or pH paper which change color to reflect the acidity or alkalinity of a solution. Substances with pH less than 7 are acidic, while those with pH over 7 are basic. The concentration of hydrogen ions can also be used to determine pH.
Explanation:The pH level of a substance can be determined using acid-base indicators or pH paper which change color in relation to the acidity or alkalinity of the solution. The pH scale measures from 0 to 14, with 7 being neutral. Anything below 7 is considered acidic, and anything above 7 is basic or alkaline. For example, if using pH paper or an indicator, a solution that colors the paper or indicator red or orange is likely to be acidic, whereas a green or blue color suggests a basic solution. The specific color can provide a rough estimate of the pH value, with some indicators or pH papers providing more precise value ranges.
Another method to measure pH is by examining the concentration of hydrogen ions in the solution. A lower pH value indicates a higher concentration of hydrogen ions, making the solution more acidic. Conversely, a higher pH value indicates a lower concentration of hydrogen ions, making the solution more basic or alkaline.
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There are two balloons of charges +3.37 x 10-6 C and –8.21 x 10-6 C. The distance between the two balloons is 2.00 m. Determine the force between the two balloons.
F = 0.06N. Since the charges has different signs the force of atraction between them is 0.06N.
In order to solve this exercise we have to use Coulomb's Law equation which says that the magnitude of each of the electric forces with which two point charges at rest interact is directly proportional to the product of the magnitude of both charges and inversely proportional to the square of the distance that separates them. Given by the equation:
[tex]F = k\frac{|q_{1}q_{2}|}{d^{2}}[/tex]. Where k is the Coulomb's Constant [tex]k = 9x10^{9}\frac{Nm^{2} }{C^{2} }[/tex], q1 and q2 are the charges value in Coulomb (C), and d is the distance between charges in meters (m).
There are two balloons of charges +3.37 x 10-6 C and –8.21 x 10-6 C. The distance between the two balloons is 2.00 m. Calculate the force between the two ballons.
[tex]F = 9x10^{9}\frac{Nm^{2} }{C^{2} } \frac{|(3.37x10^{-6}C)(-8.21x10^{-6}C)|}{(2.00m)^{2}}\\F = 9x10^{9}\frac{Nm^{2} }{C^{2} } \frac{|-2.77x10^{-11}C^{2} )|}{4.00m^{2}}\\F = 9x10^{9}\frac{Nm^{2} }{C^{2} }(6.92x10^{-12})\frac{C^{2} }{m^{2}}\\F = 0.06N[/tex]
When a wave moves from a dense medium to a less dense medium most of the wave energy is
Answer:when a wave moves from a dense medium to a less dense medium most of the wave energyis refracyed.
Explanation:
Answer: reflected
Explanation: A P E X
The field around a long, straight wire is:
parallel to the wire
radial to the wire
perpendicular to the wire
concentric with the wire
Answer:
Concentric with the wire
Explanation:
The magnetic field around a long, straight current-carrying wire forms concentric lines around the wire itself. The magnitude of the field is given by:
[tex]B=\frac{\mu_0 I}{2\pi r}[/tex]
where
[tex]\mu_0[/tex] is the magnetic permeability
I is the current in the wire
r is the distance from the wire
The direction of the lines of the field can be determined by using the right-hand rule: the thumb of the right hand points in the same direction as the current, and the other fingers (wrapped around the thumb) gives the direction of the field lines.
Answer:
concentric with the wire
Explanation:
Which of the following is equal to an impulse of 15 units?
A) Force = 10, Time = 0.5
B) Force = 7.5, Time = 2
C) Force = 20, Time = 1.5
D) Force = 15, Time = 1.5
Answer:
B) Force = 7.5, Time = 2 is equal to an impulse of 15 units
It totally depends on WHAT the units are.
IF the force is 7.5 Newtons AND the time is 2 seconds, THEN the impulse is 15 newton-seconds or 15 kg-m/sec. (choice-B)
If either of them isn't, then it isn't.
Define relative density
Hello There!
Relative density is another word for specific gravity. Relative density is comparing the density of one thing to the density of another. Most of the time, you look at the density of water so we look at the density of an object relative to the density of water.
At exactly the same time, Daisy and Damond both step off a diving platform 5 meters high. Damond jumps up and out from the platform, whereas Daisy just just takes a step from a standing position.
Which of the following is true?
A. The person who has less mass will reach the water first.
B. Daisy will reach the water first.
C. Damon will reach the water first.
D. Damond and Daisy will reach the water at the same time.
Answer:
B
Explanation:
A. False. Their mass does not affect when they reach the water.
B. True. Daisy will reach the water in 1 second.
C. False. Damon will reach the water in more than 1 second.
D. False. Daisy reaches the water first.
A football is kicked from the ground with a velocity of 38m/s at an angle of 40 degrees and eventually lands at the same height. What is the direction and magnitude of the ball's velocity 0.2 seconds after impact?
Initially, the velocity vector is [tex]\langle 38cos(40^{\circ}),38sin(40^{\circ}) \rangle=\langle 29.110, 24.426 \rangle[/tex]. At the same height, the x-value of the vector will be the same, and the y-value will be opposite (assuming no air resistance). Assuming perfect reflection off the ground, the velocity vector is the same. After 0.2 seconds at 9.8 seconds, the y-value has decreased by [tex]4.9(0.2)^2[/tex], so the velocity is [tex]\langle 29.110, 24.426-0.196 \rangle = \langle 29.110, 24.23 \rangle[/tex].
Converting back to direction and magnitude, we get [tex]\langle r,\theta \rangle=\langle \sqrt{29.11^2+24.23^2},tan^{-1}(\frac{29.11}{24.23}) \rangle = \langle 37.87,50.2^{\circ}\rangle[/tex]
When a person rides a bicycle past a tree while wearing a helmet, the person is moving relative to
only the bicycle
only the tree
the tree and the bicycle
the bicycle, the tree, and the helmet
A person riding a bicycle past a tree while wearing a helmet is moving relative to the tree, the bicycle, and the helmet. This is a concept in physics known as frames of reference, implying movement and direction are dependent on the perspective of observation.
Explanation:When a person rides a bicycle past a tree while wearing a helmet, the person is moving relative to the tree, the bicycle, and the helmet. That is to say, if you were observing from the cyclist's perspective, everything would be moving: the tree as they pass, the bicycle beneath them, and even their helmet.
This is typical of what we discuss in physics as frames of reference, with the notion of relative movement. While the tree appears to move in one direction, the bicycle and helmet in another, everything depends on your perspective or your frame of reference.
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A crystal lattice formed by positive and negative ions is called a(n) _________. A. ionic crystal B. macromolecular crystal C. magnetic crystal D. metallic crystal
Answer:
A. ionic crystal
Explanation:
Crystal lattice is the ordered arrangement of molecules in a crystal. There are different form of arrangement in which molecules of crystals can be put to. When ions in a crystal are arranged in such a way that opposite charges are aligned and are held by an electrostatic force of attraction, an ionic crystal is formed.
What are the six regions of the Sun?
Answer:
The Core, Radiation Zone, Convection Zone, Photosphere, Chromosphere, and the Corona.
Explanation:
The Sun has 6 different region which constitutes it completely which are namely from the outermost part to innermost part as follows,
Corona, Chromosphere, Photosphere, Convection Zone, Radiation Zone, Core.
Explanation:
The innermost part is the core of the Sun which has its 25 percent of presence in respect to the radius of the Sun. Next is the Radiation zone comprising the 45 percent of the radius with another 30 percent covered with the convection zone of the Sun.
The atmosphere of the sun contains the outer three parts as Photosphere, Chromosphere and the Corona. The level of heat increases on the way up in atmosphere.