The potential energy of a body with given mass and height is, P.E. = 8,820 J.
Equation :P.E. = mgh
where,
m is the mass in kilograms,
g is the acceleration due to gravity
h is the height in meters
Given data,
mass = 30 kg
height = 30m
acceleration due to gravity = 9.8 m / s²
P.E. = ?
Using formula,
P.E. = mgh
Putting values,
P.E. = 30 x 9.8 x 30
P.E. = 8,820 J
What means potential energy?Potential energy is a form of energy that is stored but is dependent on the relative positions of different system components. Stretching or compressing a spring increases its potential energy. A steel ball has more potential energy when it is raised above the surface of the earth than when it is brought to Earth.
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1) A tiger leaps horizontally from a 7.5 m high rock with a speed of 4.5 m/s. How far from
the base of the rock will it land?
The distance of tiger's leap from the base of rock is 5.58 m
It is a question of two dimensional motion
The time of motion in two dimensional motion is given by:
t= [tex]\sqrt{2y/g}[/tex]
where y is the height and g is the acceleration due to gravity
y is given to be 7.5m and let us assume g to be 9.8 m/s^2
t = [tex]\sqrt{2 * 7.5/9.8}[/tex]
= 1.24s
Using time and speed,
We know that distance is the product of speed and time,
Distance= speed x time
speed is given to be 4.5 m/s
distance from the base of rock = 4.5 x 1.24
= 5.58m
Hence the distance of tiger's leap from the base of rock is 5.58 m
Disclaimer:
The acceleration due to gravity is assumed to be 9.8 m/s^2
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A boat moves through the water with two forces acting on it. One is a 1,725-N forward push by the water on the propeller, and the other is a 1,300-N resistive force due to
the water around the bow.
(a) What is the acceleration of the 1,400-kg boat?
0.30
m/s 2
(b) If it starts from rest, how far will the boat move in 20.0 s?
2
m
(c) What will its velocity be at the end of that time?
3
m/s
(a) The acceleration of the 1,400-kg boat is 0.30 m/s².
(b) The boat move 60 m in 20.0 s
(c) The velocity at the end of that time will be 6 m /s
The formula for force states that force is adequate mass increased by acceleration. So, if you recognize mass and acceleration, simply multiply them along and currently you recognize the force. The units for acceleration are meters per second square ( m/s2), and therefore the units for mass are kilograms (kg).It is given that mass of the boat = 1400 kg , forward push on the boat by the propeller = 1,725 N and resistive force of water = 1300 N
(a) Let the acceleration of the boat be "a" .
The net force on the boat will be
F(net) = F(push) - F(R)
= 1725 - 1300
= 425 N
Using Newton's second law of motion , we get
F(net) = ma
a = F(net) / m
= 425 / 1400
= 0.30 m/s²
(b) Let the distance moved by the boat be "d" .
It is given that it starts from rest which means that u = 0
Now using the kinematic equation s = ut + 1/2at² . ...(1)
Putting a = 0.30 , t = 20 and u = 0 in equation (1) , we get
s = 0 (20) + 1/2 (0.30)(20)²
= 0 + 1/2 (0.30 × 400)
= 120 /2
= 60 m
(c) Let the final velocity of the boat be "v" .
Using the kinematic equation v = u + at ..(2)
Putting a = 0.30 , t = 20 and u = 0 in equation (2) , we get
v = 0 + (0.30)(20)
= 6 m /s
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What are the possible causes of generator voltage not building up?
Answer:
The most common causes of a generator producing no power are the loss of residual magnetism in the alternator and a failed AVR or another excitation component. If the voltage is around 50-70V on each phase, then it is likely the AVR needs replacement.
Newton's third law explains that for every action force there is an equal and opposite reaction force. In the image below, the arrow represents the force of Earth pulling down on the book. This is also called the force of gravity.
Based on Newton's third law and the force represented by the arrow, what is the reaction force in this scenario?
A.
The force of the book pulling down on the table.
B.
The force of the table pushing up on the book.
C.
The force of the table pushing down on Earth.
D.
The force of the book pulling up on Earth.
Explanation:
If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A.
Answer:
The force of the book pulling up on Earth
Explanation:
I did the study island
As a fish jumps vertically out of the water, assume that only two significant forces act on it: an upward force F exerted by the tail fin and the downward force due to gravity. A record Chinook salmon has a length of 1.50 m and a mass of 49.0 kg. If this fish is moving upward at 3.00 m/s as its head first breaks the surface and has an upward speed of 6.50 m/s after two-thirds of its length has left the surface, assume constant acceleration and determine the following.
The acceleration is computed at 16.625ms⁻²;
The Magnitude of Net Force = 814.625 N; and
The Magnitude of upward force exerted by tail fin = 1,294.825 N. See the explanation below.
What is the computation explaining the above answers?Mass of the salmon fish = 49 kg
Length of the Salmon Fish = 1.5 m
g = 9.8 ms⁻²
[A] salmon's acceleration during the time interval N:
Downward Force on the fish is equal to the Force due to gravity and is given as:
F₂ = mg
= 49 * 9.8
= 480.2 N
The direction of movement of the fish is upward and the acceleration is constant. We are given two different velocities of fish at two different instances.
When the head breaks out of the water surface first:
Initial velocity = v₁ = 3 m/s
When two third of its body length is out = d = 1 m
Final Velocity = v₂ = 6.5 m/s
Using the third equation of motion:
2*a*d = v₂² - v₁²
a = (6.5² - 3²)/2*1
a = 16.625 ms⁻²
[B] magnitude of force F during this interval N = ?
We are assuming that F is the net force consisting of both the upward and the downward force.
According to Newton's 2nd law of motion, Force is given as:
F = ma
F = 49 kg * 16.625
F = 814.625 N
Magnitude of upward Force = Fₓ
Force Fₓ exerted by the tail fin of the fish is given by
F = Fₓ - F₂
=> Fₓ = F + F₂
Fₓ = 814.625 + 480.2
Fₓ = 1294.825 N
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6. I need help please
The average speed of Maria and Kuba in km/h is 120 km/h.
The average speed of Maria and Pierre in km/h is 8 km/h.
Average speed of Maria and Kuba
The average speed of Maria and Kuba in km/h is calculated as follows;
v = distance / time
distance = 30 km
time = 15 minutes = 15/60 = 0.25 hour
v = 30 km / 0.25 hr
v = 120 km/h
Average speed of Maria and PierreThe average speed of Maria and Pierre in km/h is calculated as follows;
v = distance / time
distance = 2000 m = 2 km
time = 900 seconds = 900 / 3600 = 0.25 hour
v = 2 km / 0.25 hr
v = 8 km/h
Thus, the average speed of Maria and Kuba in km/h is 120 km/h.
The average speed of Maria and Pierre in km/h is 8 km/h.
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A skateboarder starts up a 1.0-m-high, 30∘ ramp at a speed of 9.0 m/s. The skateboard wheels roll without friction. At the top, she leaves the ramp and sails through the air.
How far from the end of the ramp does the skateboarder touch down?
Express your answer with the appropriate units.
The skateboarder touches a distance of R= 7.09m from the end of the ramp.
What is velocity?Velocity can be defined as the rate of change of the object's position with respect to a frame of reference and time.
From the given instance, the skateboarder touches a distance of R= 7.09m from the end of the ramp
Velocity along y axis = 9.0 sin30 = 4.5m/s.
Velocity along x axis = 9cos30 = 7.79m/s
Vfinal -Vinitial = acceleration * time
4.5 = 10t ; t(up) = 0.45s.
Hy = 9*(sin 30°)*T1 - (1/2)*g*T1^2 [ upward movement]
Hy= 9*(1/2)*0.45 - (1/2)*9.81*0.45^2
Hy = 2.025 - 0.993
Hy = 1.032
T2 = √[(2/9.81)*1.032] = 0.46
R = (T1 + T2)*9*(cos 30°)
R= (0.45+0.46)* 9* 0.8660
R= 7.09m
In conclusion, Velocity is a vector quantity that refers to "the rate at which an object changes its position.
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A 2-column table with 5 rows. The first column is labeled x with entries negative 3, negative 2, 0, 2, 3. The second column is labeled f of x with entries 33, 17, negative 15, negative 7, 27. Use the table of values to find the function's values. If x = 0, then f(0) = . If f(x) = 27, then x = .
The value of function at x = 0 is -15 while at x = 3 it is 27.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
A 2-column table with 5 rows.
x f(x)
-3 33
-2 17
0 -15
2 -7
3 27
At x = 0 value of function is -15
At x = 3 value of function is 27
Hence "The value of function at x = 0 is -15 while at x = 3 it is 27".
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What kind of forces are responsible for the states of aggregation of matter?
The forces responsible for the states of aggregation of matter are the intermolecular forces.
What are intermolecular forces?Intermolecular forces are the interactions that occur between molecules given their nature, this depends on the characteristics of the molecules that are going to join. The types of unions are classified according to the polarity of the molecules and the types of bonds that occur can be covalent or ionic.
Some bonds are stronger than others, this also determines the characteristics and temperatures to which they have to be exposed to change their states of aggregation.
Therefore, we can confirm that the forces responsible for the states of aggregation of matter are the intermolecular forces.
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I need to sketch force diagram
This problem is already solved
The free body diagram of the given system will include a normal force of value 9 Newton perpendicular to the surface with friction force at 30° with 12 newton force and the weight of 15 Newton pointing downwards.
What is free body diagram?Free body diagram refers to the formation of a system showing all the possible forces that are being exerted on the body isolating it from the surrounding.
What is system and surrounding?System refers to the object of inspection i.e. the thing that is being noted down a system can be anything from an object to multiple objects and even surrounding whereas surrounding is everything else that is not a part of the system.
We have been already given all the required inputs that will help us to create a free body diagram including:
Friction force on the body being = 12 Newton
Weight of the body = 15 Newton
Normal acting on the body = 9 Newton
To create the free body diagram we simply isolate or from the surrounding and consider it to be a system then help of the vectors we will create the system consisting of the body and all the possible forces that acting on it.
We now draw the vectors for friction force weight of the body and normal acting on the body to get our required free body diagram.
Therefore, the free body diagram of the given system will include a normal force of value 9 Newton perpendicular to the surface with friction force at 30° with 12 newton force and the weight of 15 Newton pointing downwards.
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A centripetal force of 185 N acts on a 1,050-kg satellite moving with a speed of 4,800 m/s in a circular orbit around a planet. What is the radius of its orbit?
______m
PLEASE HELP cant figure it out!!!
If a centripetal force of 185 N acts on a 1,050-kg satellite moving with a speed of 4,800 m/s in a circular orbit around a planet, then the radius of its orbit would be 1.3×10⁸ meters.
What is Newton's second law?Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
As given in the problem If a centripetal force of 185 N acts on a 1,050-kg satellite moving with a speed of 4,800 m/s in a circular orbit around a planet, then we have to find the radius of its orbit,
The centripetal force acting on the satellite = m×v² / r
185 =1050× 4800² / r
r =1.3×10⁸ meters
Thus, the radius of the orbit would be 1.3×10⁸ meters.
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A train accelerates at a rate of 4.5 meters/s squared. If it starts its acceleration at 15 m/s how far has it gone after 10 seconds?
Answer:
60m/s
Explanation:
Given acceleration, and time of acceleration, the problem is as simple as placing your givens into the proper kinematics equation:
[tex]v_{f} =v_{o} +a t[/tex]
plug in your numbers and:
[tex]v_{f} =(15)+(4.5)(10)[/tex]
[tex]v_{f} =60 m/s[/tex]
1. An object is thrown straight up into the
air with an initial velocity of 20m/s. For how
long will the ball be in the air?
9.81s
O4s
O 18s
O 80s
If the ball is thrown straight up into the air with an initial velocity of 20m/s, it will be in the air for 4.08 s
a = v / t
a = Acceleration
v = Velocity
t = Time
v = 20 m / s
a = 9.81 m / s²
t = 20 / 9.81
t = 2.04 s
This is the time taken to reach the farthest height the ball will raise. It takes the equal amount of time to reach the point from where it was thrown from.
T = 2t
T = Total time taken
T = 2 * 2.04
T = 4.08 s
Therefore, the ball will be in the air for 4.08 s
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if a rock has a volume of 22.0 mL and a mass of 55 g. what is the density?
The density of the given details is ρ = 2.5 g/ml.
Equation :To find density
Using formula,
ρ = m / V
Given,
m = 55g
V = 22ml
ρ = ?
Putting values,
ρ = 55 g / 22.0 mL
ρ = 2.5 g/ml
What does density mean?The density of an area refers to the quantity of things—which may include people, animals, plants, or objects—there are in it. Divide the number of objects by the area's measurement to determine density. A country's population density is calculated by dividing its total population by its area, expressed in square kilometers or miles.
What are types of density?There are two types of density: absolute density and relative density. The ratio of a material's density to the density of a reference material is known as its relative density, also referred to as specific gravity.
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Suppose that the electric potential in a certain region is given by V (x ,y ,z) = Ax - B(y^2 - z^2) where A and B are constants. Find expressions for the components of the electric field in this region.
Ex =
Ey =
Ez =
a. The electric field component Ex = -A V/m
b. The electric field component Ey = 2By V/m
c. The electric field component Ez = -2Bz V/m
What is electric potential?Electric potential is the work done in moving a unit charge from one point to the other.
What is electric field?Electric field is the force per unit charge acting on a charged particle or at a point.
How to find expressions for the components of the electric field in this region.Given that the electric potential in a certain region is given by V(x ,y ,z) = Ax - B(y² - z²) where A and B are constants.
We know that electric field E(x,y,z) = -gradV(x,y,z)
This implies that the electric field components are
Ex = -dV/dx Ey = -dV/dy and Ez = -dV/dza. The value of Ex componentSince V(x ,y ,z) = Ax - B(y² - z²)
dV(x,y,z)/dx = d[Ax - B(y² - z²)]/dx
= Adx/dx - dB(y² - z²)]/dx
= A - 0
= A
Ex = -dV(x,y,z)/dx
= -A
So, the electric field component Ex = -A V/m
b. The value of Ey componentSince V(x ,y ,z) = Ax - B(y² - z²)
dV(x,y,z)/dy = d[Ax - B(y² - z²)]/dy
= Adx/dy - dB(y²/dy - Bdz²)]/dy
= 0 - 2By - 0
= -2By
Ey = -dV(x,y,z)/dy
= -(-2By)
= 2By
So, the electric field component Ey = 2By V/m
c. The value of Ez componentSince V(x ,y ,z) = Ax - B(y² - z²)
dV(x,y,z)/dz = d[Ax - B(y² - z²)]/dz
= Adx/dz - dB(y²/dz + Bdz²)]/dz
= 0 - 0 + 2Bz
= 2By
Ez = -dV(x,y,z)/dz
= -2Bz
So, the electric field component Ez = -2Bz V/m
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State coulumbs law of electrostatics
Answer:
It states that the magnitude of force is directly proportional to the product of charges at points and inversely proportional to the square of their separation distance
Explanation:
[tex]{ }[/tex]
Answer:
It states that the magnitude of force is directly proportional to the product of charges at points and inversely proportional to the square of their separation distance
Explanation:
[tex]{ }[/tex]
Calcium has a density of 1.54 g/mL. What mass would 3.00 mL have?
The mass of calcium in given density and volume is 0.5133g.
Equation :ρ = m / V
where
ρ is density,
m is mass,
V is volume,
Given,
ρ = 1.54g/ml
V = 3 ml
m = ?
Putting values,
1.54 g/ml = m / 3ml
m = 0.5133g
What is the mass volume formula?The relationship between mass and volume can be easily determined using density; for example, the mass of a body is equal to its volume multiplied by the density (M = Vd), whereas the volume is equal to the mass divided by the density (V = M/d).
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unit used to measure resistance
Question 4 (1 point)
Chun sprints the 100-meter dash and at the end his muscles are burning. Chun's
sprint is what type of exercise?
anaerobic
Oshort-term
aerobic
flexibility
Chun's spring exercise would be an anaerobic process which is the correct answer would be an option (A).
What are the anaerobic processes?The rate-limiting phases in anaerobic processes are the hydrolysis conversion rate and the rate at which methanogenesis uses soluble substrates. The overall amount of solids converted is affected by the hydrolysis of colloidal and solid particles, although neither the process operation nor stability is affected.
Anaerobic means "without oxygen," so this sort of exercise causes the body to break down glucose without the use of oxygen.
At the end of his 100-meter sprint, Chun's muscles are burning.
So Chun's spring workout would involve anaerobic activity.
Therefore, Chun's spring exercise would be an anaerobic process.
Hence, the correct answer would be an option (A).
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Answer:
Option A
Explanation:
Motion law with justification
Answer:
motion law was given by newton.
Law of Inertia, Law of Mass and Acceleration, and the Third Law of Motion is the 3 law of motion
Explanation:
please make my answer as brainelist
Let's say you had a pulley system with a mechanical
advantage of 3. If you want to lift a boulder 10 meters off
the ground, how far would you have to pull the rope?
A) 3 meters
B) 10 meters
C) 30 meters
D) 300 meters
Guys please help me with this question please help me!!!!!!!!!!!!!!!
Answer:
Question 1;
[tex]{ \bf{boyle s \: law}}[/tex]
Question 2;
[tex]{ \tt{a = \frac{1}{22} }} \\ \\ { \tt{a = 0.05}}[/tex]
Question 3;
Which of the following is NOT an example of diffraction?
Dark and light interference patterns on a screen after light waves have gone through a slit.
Hearing the seeker shout 'ready', when you are behind a tree.
Light spreading out as it goes through a tiny gap in a door
Ocean waves spreading out as they go through a gap in a sea-wall
Dark and light interference patterns on a screen after light waves have gone through a slit is NOT an example of diffraction
What is wave diffraction?The process by which wave energy disperses perpendicular to the predominant direction of wave propagation is known as wave diffraction. Wave diffraction is particularly interested in abrupt changes in boundary conditions, such as those at breakwater roundheads, where diffraction transfers wave energy into the shadow zone.
Waves spread out when they go through an aperture or around objects, which is known as diffraction. It happens when the aperture's or obstacle's size is of the same order of magnitude as the wave's wavelength.
When waves go from one medium to another, they may refract, changing their direction. A shift in speed and wavelength always accompany refraction. Diffraction is the wave's bending.
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Look at the diagram below. Are the lamps connected in series or in parallel?
The lamps shown in the diagram are connected in parallel.
Briefing :The impact on the output voltage and the capacity of the battery system is the primary distinction between wiring batteries in series and parallel. The voltages of batteries connected in series will be added. Batteries connected in parallel will have their amp-hour capacities added together.
Do batteries last longer in series or parallel?Because the voltage stays the same while the amps increase, parallel batteries last longer. It will still be a 12 volt system if you connect two 12v 50ah batteries in parallel, but because the amps double to 100ah, the batteries will last longer.
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Part 2
2.
Besides kinetic energy, potential energy, and mechanical energy, what other forms of
energy might be present as the roller coaster travels over the track?
Answer:
firstly
kinetic and potential are two types of mechanical energy
example of wood wind musical instrument
Flute, Clarinet, Saxophone, Piccolo, Tenor Sax oboe
Piccolo
Flute
Clarinet
Saxophone (all registers)
Oboe
English Horn
Bassoon
Can someone help me
Answer:
Because of the wind, did the power lines come down?I was four years old when my brother was born.She welcomed the people who just moved in.When a year has passed, Earth has revolved once around the sun.Turn off the timer that is buzzing in the kitchen.Before I got my shoes, I put on my socks.I need to understand the question 1 and how to solve for it
The object is moving at a constant velocity between time 4 s to 6 s. The correct answer is option A
Velocity - Time GraphThis is the graph of velocity plotted against time. The slope of the graph is acceleration and the area under the graph is total distance travelled by the body.
Acceleration means increase in speed which is the positive slope of the graph between t = 0 s and t = 4 s
Between t = 4 s and t = 6 s the velocity is constant and acceleration = 0 because the slope of the graph is zero.
Deceleration means decrease in speed. That is, the body is slowing down. This happened between t = 6 s and t = 9 s
Therefore, the object is moving at a constant velocity between time 4 s to 6 s
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One of Spider-man’s less talked about powers is that he can jump really high. In the comics Spider-man can jump upwards 3 stories. A) If Spider-man leaves the ground at 13.2 m/s, how high can he get?
If a Spider man leaves the ground at 13.2 m / s , he can get about 8.89 m high .
In this question Equation of Motion under gravity can be used :
v ² - u ² = 2 g h ............. Eq. 1
Here ,
u = 13 . 2 m / s
v = 0 m / s
g = - 9.8 m / s ² ( -ve as motion is against the gravity )
Now , we can use the values of u , v and g in Eq 1 .
v ² - u ² = 2 g h
0² - ( 13.2 ) ² = 2 x ( - 9.8 ) x h
0 - 174.24 = - 19.6 x h
- 174.24 = - 19.6 x h
h = 8.89 m
Hence , if a Spider man leaves the ground at 13.2 m / s , he can get about 8.89 m high .
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What is the speed the camera hits the ground at?
The speed of the camera hits the ground it depend on height and g.
An object in free fall is one that is under the influence of gravity and is accelerating towards the earth's surface. Freefall formulae may be used to characterize this motion, allowing us to solve for the components of the object's motion at different time frames. This time range can be when the item is released, when it reaches the Earth's surface, or anyplace in between.
energy conservation to equal change in gravitational potential energy on mass attached to spring and elastic potential energy of stretched spring. Then, in the equation, substitute the specified numbers and solve for the spring constant. Then, calculate the amplitude by taking half of the value of spring stretching from equilibrium, and the frequency of oscillation by using the calculation for frequency of oscillation in a stretched string in terms of mass and spring constant.
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