(A) The components of the electric field in the reference frame of a rocket traveling in the positive x-direction at 1.1×106 m/s are (0, -1.12×10^5 k^V/m, 7.0×10^5 k^V/m).
(B) The components of the magnetic field in the reference frame of the rocket are (0, 5.5×10^-4 k^T, 0).
Part A)
The electric field in the reference frame of the rocket can be found using the formula for a Lorentz transformation of the electric field:
E'_x = E_x
E'_y = γ(E_y - vB_z)
E'_z = γ(E_z + vB_y)
where v is the velocity of the rocket,
B is the magnetic field, and
γ is the Lorentz factor given by γ = 1/√(1 - v^2/c^2).
Here, v = 1.1×10^6 m/s, B = 0, and E_x = E_y = 0, E_z = 7.0×10^5 k^V/m.
Plugging these values into the above formula, we get:
E'_x = 0
E'_y = -1.12×10^5 k^V/m
E'_z = 7.0×10^5 k^V/m
Therefore, the components of the electric field in the reference frame of the rocket are (0, -1.12×10^5 k^V/m, 7.0×10^5 k^V/m).
Part B)
In the reference frame of the rocket, there is a magnetic field because the rocket is moving relative to the laboratory frame. The components of the magnetic field in the rocket's reference frame can be found using the formula for a Lorentz transformation of the magnetic field:
B'_x = B_x|
B'_y = γ(B_y + vE_z/c^2)
B'_z = γ(B_z - vE_y/c^2)
where v is the velocity of the rocket,
E is the electric field, and
γ is the Lorentz factor.
Here, v = 1.1×10^6 m/s, B_x = B_y = B_z = 0, and E_x = E_y = 0, E_z = 7.0×10^5 k^V/m.
Plugging these values into the above formula, we get:
B'_x = 0
B'_y = 5.5×10^-4 k^T
B'_z = 0
Therefore, the components of the magnetic field in the reference frame of the rocket are (0, 5.5×10^-4 k^T, 0).
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a 13000 kg railroad car travels alone on a level frictionless track with a constant speed of 16.0 m/s. a 5000 kg load, initially at rest, is dropped onto the car. what will be the car's new speed?
The car's new speed will be 11.56 m/s.
What is Speed?Speed is the amount of distance covered in a unit of time. It refers to how quickly an object is moving. The scalar quantity speed symbolizes the size of the velocity vector. It's lost its feeling of purpose. An object is moving quicker when it is moving at a higher speed. It is moving more slowly if the speed is lower. If something isn't moving at all, it has no speed.
The momentum is conserved here, so Initial momentum = Final momentum.
Initial mass, m = 13000 kg
Initial velocity = 16 m/s
Final mass after load = 13000 + 5000 = 18,000 kg
Based on the above point,
13000 × 16 = 18000 × v
v = \(\frac{208000}{18000}\)
v = 11.56 m/s
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Could a tsunami cause the canary islands volcano to erupt or could the canary islands volcano eruption cause a tsunami? Why?
A train is moving parallel and adjacent to a highway with a constant speed of 28 m/s. a car is traveling in the same direction as the train at 53 m/s. the car‚äôs horn sounds at 580 hz and the train‚äôs whistle sounds at 340 hz. when the car is behind the train what fre quency does an occupant of the car observe for the train whistle? the speed of sound is 343 m/s. answer in units of hz
The frequency is 983.56Hz, will be heard by the occupants of the car moving at the given speed.
What is Frequency?
It is the number of cycles or vibrations a body in periodic motion experiences during one unit of time, as well as the number of waves that pass, a fixed point in a unit of time. After moving through a sequence of situations or locations and then returning to its initial position, a body in periodic motion is said to have experienced one cycle or one vibration.
What are the calculations?
Given,
Speed of train = 28 m/s
Speed of car = 53 m/s
Frequency of car's horn = 580 Hz
Frequency of train's whistle = 340 Hz
When the car is behind the train, the frequency of the car is:
By using formula of frequency = \(f_{c} = f_{t ( 1 + \frac{V_{c} }{V_{t} } )\)
Put the value into the formula = \(fc = 340 * (1 + \frac{53}{28} )\)
\(fc =\) 983.56Hz
Hence, frequency is 983Hz, will be heard by the occupants of the car.
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A 33 kg box sits at rest on a tabletop.
Draw and clearly label all the forces acting on the box;
Calculate the normal force.
Answer:
323.4N
Explanation:
Given parameters:
Mass of the box = 33kg
Unknown:
Normal force on the body = ?
Solution:
The normal force of a body is the vertical force the body exerts on another body.
It is expressed as;
Normal force = mass x acceleration due to gravity
Acceleration due to gravity = 9.8m/s²
Normal force = 33 x 9.8 = 323.4N
Please help ASAP. There are 3 question it would be a big help if you can answer any.
Answer:
number 1 is falling freely number 2 I think the 2nd option number 3 3rd option
1). If you're standing on a scale in an elevator, and the scale reads much less than your real weight, then the elevator must be accelerating downward.
(Think of the extreme limit: If the elevator is in free-fall, accelerating down at 9.8 m/s², then you'll apear to be weightless ... the scale will read zero.)
2). A 100 kg man is standing in an elevator, accelerating up at 2.0 m/s².
The net force acting on him is F = m·a = (100 kg) x (2.0 m/s²) = 200 N up.
The forces acting on him are:
-- gravity, m·g = (100 kg) x (9.8 m/s²) = 980 N down
-- elevator floor force . . . EF up
Net force = (980N down) + (EF up)
(200N up) = (980N down) + (EF up)
Add (980N up) to each side:
(200N up + 980N up) = EF up
Elevator force = 1180N up.
Pick the second choice: 1.2 x 10³ N up
3). My computer is resting on my desk.
There are many forces acting on my computer, and they are all balanced.
That means the NET force acting on my computer is zero.
If the net force were NOT zero, then my computer would be accelerating in the direction of the net force. But it's at rest. So the net force must be zero.
An astronaut's pack weighs 17.5 N when she is on earth but only 3.24 N when she is at the surface of an asteroid.(a) What is the acceleration due to gravity on this asteroid?(b) What is the mass of the pack on the asteroid?
(a) The acceleration due to gravity on this asteroid is approximately 1.82 m/s². (b) The mass of the pack on the asteroid is approximately 1.78 kg.
What is gravity?Gravity is the force by which a planet or other body attracts objects toward its center. The force of gravity keeps all of the planets in orbit around the sun. Gravity exists between any two masses, any two bodies, any two particles. Gravity is one of the four fundamental forces of nature.
What is acceleration due to gravity?The acceleration due to gravity is the acceleration experienced by an object in freefall at the Earth's surface. It is represented by the symbol g. The acceleration due to gravity is always measured with respect to the Earth's surface.
How to calculate acceleration due to gravity?
The formula for the acceleration due to gravity is:
g = F / m
where F is the force due to gravity and m is the mass of the object experiencing the acceleration.
What is the formula for weight?The formula for weight is given by:
F = m x g
where F is the force due to gravity, m is the mass of the object, and g is the acceleration due to gravity.
We know that the acceleration due to gravity in Earth is 9.806 m/s², and the mass of the pack is constant whether on Earth or on the asteroid. Using the formula, we can calculate the mass of the pack.
m = F/g
m = 17.5 N / 9.806 m/s² ≈ 1.78 kg
Using this mass, we can calculate the acceleration due to gravity on the asteroid, given that the force or weight is 3.24 N.
g = F/m
g = 3.24 N / 1.78 kg ≈ 1.82 m/s²
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A 1400kg car is moving at a speed of 25m/s. How much KE does the car have?
Answer:
437500Joules
Explanation:
Kinetic energy=1/2mvsquare
1/2 x 1400 x 25 x25
kinetic energy= 437500Joules
) what is the spacing between the laser modes? express your answer in frequency, wavelength, and waver number
The spacing between the laser modes can be expressed in terms of frequency, wavelength, and wave number. To find the spacing, we can use the following formula for each term:
1. Frequency: Δν = c / 2L
2. Wavelength: Δλ = λ^2 / 2L
3. Wave number: Δk = 2π / λ
Where c is the speed of light (3 x 10^8 m/s), L is the length of the laser cavity, λ is the wavelength of the laser light, and Δν, Δλ, and Δk represent the spacing in frequency, wavelength, and wave number, respectively.
1. For the spacing in frequency (Δν), use the formula:
Δν = c / 2L
Plug in the values for c and L to find the frequency spacing.
2. For the spacing in wavelength (Δλ), use the formula:
Δλ = λ^2 / 2L
Plug in the values for λ and L to find the wavelength spacing.
3. For the spacing in wave number (Δk), use the formula:
Δk = 2π / λ
Plug in the value for λ to find the wave number spacing.
To find the spacing between the laser modes, use the provided formulas for frequency, wavelength, and wave number spacing, and plug in the appropriate values for the speed of light, laser cavity length, and laser light wavelength. This will give you the spacings in terms of frequency, wavelength, and wave number.
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two blocks are released from the top of a building. one falls straight down while the other slides down a smooth ramp. if all friction is ignored, which one is moving faster when it reaches the bottom?
The first and second blocks move at the same speed.
What is the law of conservation of mechanical energy ?
The law of conservation of mechanical energy states that the total mechanical energy of a system is constant if the only forces acting on the system are conservative.
The total mechanical energy of a system is the sum of kinetic and potential energy.
E = KE + PE
This is the total energy, kinetic energy and potential energy of the system.
The kinetic energy of the
system is:
KE = 1/2 x m x v^{2}
This is the mass and velocity of the object.
The gravitational potential energy is:
PE = mgh
Here is the acceleration of gravity and altitude.
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a uniform resistance wire is stretched till its length becomes 4 times what happens to the resistance
A skater with a mass of 50 kg is moving at a speed of 5 m/s. Away is their kinetic energy?
what is the acceleration of a softball if it has a mass of 0.50kg and hits the catcher’s glove with a force of 25 N
Answer:
mass=0.50kg
force=25N
acceleration =?
Now,
force=m×a
25=0.50×a
25÷0.50=a
50=a
acceleration =50m/s^2 answer!!!!
hope this may help you!!!!
Answer:
The answer is 50 m/s squared.
Explanation:
A=M/F
A= 25 Newtons
------------------ (DIVIDED BY)
0.5 Kilograms
A= 50 m/s squared
What is the conversion of how many kilograms are in 48 ounces
Answer:1.36078
Explanation:
Sally has a mass of 45.9 kilograms. Earth has a mass of 5.98 x 10^24 kilograms and an average radius of 6.38 x 10^6 meters.What is the force due to gravity between Sally and Earth? Include units in your answer. Answer must be in 3 significant digits.
Newton's law of universal Gravity:
F = G * (M1 * M2)/ r^2
Where:
G = gravitational constant = 6.674 x10^-11 Nm^2kg^2
M1 = mass 1 = 45.9 kg
M2 = mass 2 = 5.98 x 10 ^24 kg
r = Distance between the 2 objects = 6.38 x 10 ^6 m
Replacing;
\(F=6.674x10^{-11}Nm^2kg^2\cdot\frac{45.9\operatorname{kg}\cdot5.98x10^{24}\operatorname{kg}}{(6.38x10^6m)^2}\)F = 450.048 N
Help please I am struggling ;(
I need the answers to the practice on your own part. Please I need this asap I will mark brainliest
Answer:
1) 150 [m/min]; 2) 250 [m/min].
Explanation:
1) time=10min; distance=1,5km, then the speed=distance/time=1.5/10[km/min]= 0.15 [km/min] or 150 [m/min] or 2.5 [m/s];
2) time=10 min; distance=2.5 km, the the speed=distance/time= 2.5/10= 0.25[km/min] or 250 [m/min] or ≈4.17 [m/s].
Which items are needed for a plant to become fertilized?
egg
pollen
embryo
seed
If Juan upgrades from a sports car to a large truck, what will happen to the
force needed to keep the truck going at the same speed? Use this
sentence frame:
Answer:
The force must increase
Explanation:
According to newton's second law "force is the product of mass and acceleration".
Force = mass x acceleration
Now, the mass of the sports car is lesser compared to that of the truck. Therefore, to take both automobiles to the same speed, enough force must be applied by the engine of the truck.
There must be an increase in the force in order to make both automobiles attain the same speed.
What waves are transverse waves that disturb electromagnetic fields?
Radio waves are transverse waves that disturb electromagnetic fields.
What is electromagnetic fields?Electromagnetic field, a feature of space brought on by the movement of an electric charge. Only an electric field will be generated by a stationary charge in the surrounding area. A magnetic field is also created if the charge is in motion.
A changing magnetic field can also create an electric field. An electromagnetic field is created by the mutual interaction of electric and magnetic fields. This field is thought to exist independently of any charges or currents (a stream of moving charges) to which it may be related. It is possible to think of this electromagnetic field in some situations as an electromagnetic energy-transporting wave.
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Parallel Circuits:
A) are rarely used in the wiring in homes
B) always need more voltage than series circuits
C) will have positive charges flowing in one branch, negative charges in the other
D) provide more than one path fo current flow
Answer:
D.)
Explanation:
the current separates on each branch according to the resistance it experience.
Answer:D
Explanation:
A 2.75 kg block is pulled across a flat, frictionless floor with a 5.11 N force directed 53.8° above horizontal. What is the total force acting on the block? (total force = N)
Answer:
F = 3.01 N
Explanation:
Given that,
Mass of a block, m = 2.75 kg
Force applied to the block, F = 5.11 N
It is directed 53.8° above horizontal.
We need to find the total force acting on the block. The force acting on it is given by :
\(F=F\cos\theta\\\\F=5.11\times \cos53.8\\F=3.01\ N\)
So, 3.01 N of force is acting on the block.
3.01 works as the right answer
Matter cant be created or destroyed
true
false
Answer: True
no matter can be created nor destroyed in any process. if something is burned, made in a compound or anything like that all matter is still the same amount from beginning to end.
Explanation:
if 12.5 c of charge is transferred from the cloud to the ground in a lightning strike, what fraction of the stored energy is dissipated?
Answer:
The energy stored in a cloud due to separation of charges that causes a lightning strike can be estimated using the equation:
E = (1/2) * C * V^2
where E is the energy stored, C is the capacitance of the cloud, and V is the potential difference between the cloud and the ground.
Assuming that the capacitance of the cloud is 10 microfarads and the potential difference between the cloud and the ground is 100 million volts, the energy stored in the cloud is:
E = (1/2) * 10^-5 F * (10^8 V)^2 = 5*10^13 J
Now, if 12.5 coulombs of charge is transferred from the cloud to the ground, the energy dissipated can be calculated as:
W = V * Q = V * (12.5 C)
where W is the work done, Q is the charge transferred, and V is the potential difference between the cloud and the ground during the lightning strike.
Assuming that the potential difference remains constant at 100 million volts, the work done or energy dissipated is:
W = (10^8 V) * (12.5 C) = 1.25 * 10^10 J
Therefore, the fraction of stored energy dissipated is:
Fraction = (energy dissipated) / (energy stored)
Fraction = (1.25 * 10^10 J) / (5*10^13 J)
Fraction = 0.00025 or 0.025%
Thus, only a very small fraction of the energy stored in the cloud is dissipated during a lightning strike.
As per the given statement, if 12.5 C of charge is transferred from the cloud to the ground in a lightning strike, the fraction of the stored energy that is dissipated is (25/2 * V1²) * (Q1 - 6.25) / Q1².
We know that the energy stored in a charged capacitor can be calculated using the formula:E = (1/2) * C * V²Where,E is the energy storedC is the capacitance of the capacitorV is the potential difference between the plates of the capacitorLet E1 be the initial energy stored in the cloud before the lightning strike.And E2 be the energy stored in the cloud after the lightning strike.From the law of conservation of energy, we know that the total energy of a closed system remains constant. Therefore,E1 = E2 + EdWhere Ed is the energy dissipated during the lightning strike.Let the capacitance of the cloud be C.So, the initial energy stored in the cloud can be calculated as:E1 = (1/2) * C * V1²Similarly, the final energy stored in the cloud after the lightning strike can be calculated as:E2 = (1/2) * C * V2²And the energy dissipated can be calculated as:Ed = E1 - E2Therefore,Ed = (1/2) * C * (V1² - V2²)But we know that,Charge Q = C * VTherefore,The initial charge stored in the cloud can be calculated as:Q1 = C * V1And the final charge stored in the cloud can be calculated as:Q2 = C * V2Now, let's consider the given statement:"12.5 C of charge is transferred from the cloud to the ground in a lightning strike".So, the final charge stored in the cloud can be written as:Q2 = Q1 - 12.5We need to find the fraction of energy dissipated.Using the above expressions for Ed and Q2, we get:Ed = (1/2) * C * [(Q1/C)² - ((Q1 - 12.5)/C)²]Ed = (1/2C) * [Q1² - (Q1 - 12.5)²]Ed = (1/2C) * [(Q1² - Q1² + 25Q1 - 156.25)]Ed = (25/2C) * (Q1 - 6.25)Ed/Q1 = (25/2C) * (1 - 6.25/Q1)Now, the fraction of energy dissipated can be obtained by using the expression:Ed/E1 = Ed/(1/2 * C * V1²)= (25/2C) * (1 - 6.25/Q1) / (1/2 * C * V1²)= (25/2 * V1²) * (1 - 6.25/Q1) / Q1= (25/2 * V1²) * (Q1 - 6.25) / Q1²Hence, the fraction of energy dissipated is (25/2 * V1²) * (Q1 - 6.25) / Q1².
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_____ is a conclusion formed from indirect evidence
Answer:
I believe its inference
Explanation:
An alien from the newly discovers planet nine weighs himself on his planet and finds his weight to be 3200 N. When he stoves on earth he once again weighs himself and find his aight to be 800 N. What is the acceleration due to gravity on planet 9?
Answer:
2.45 m/s²
Explanation:
From the question,
On the Earth
W = mg.................. Equation 1
Where W = weight of the alien on the earth, m = mass of the alien on the earth, g = acceleration due to gravity of the earth.
Make m the subject of equation 1
m = W/g................... Equation 2
Given: W = 3200 N
Constant: 9.8 m/s²
Substitute these value into equation 2
m = 3200/9.8
m = 326.5 kg.
Similarly,
On planet 9,
W' = mg'............... Equation 3
Where W' = weight of the alien on planet 9, g' = acceleration due to gravity on planet 9.
make g' the subject of the equation
g' = W'/m............ Equation 4
Given: W' = 800 N
Substitute into equation 4
g' = 800/326.5
g' = 2.45 m/s²
Initial velocity vector vA has a magnitude of 3.00 meters per second and points 20.0o north of east, while final velocity vector vB has a magnitude of 6.00 meters per second and points 40.0o south of east. Find the magnitude and the direction of the change in velocity vector Δv (which is the vector subtraction of the two vectors: final velocity vector minus initial velocity vector).
Answer:
\(5.2\ \text{m/s}\)
\(70^{\circ}\) south of east
Explanation:
\(v_a\) = 3 m/s
\(\theta_a\) = \(20^{\circ}\) north of east
\(v_b\) = 6 m/s
\(\theta_b\) = \(40^{\circ}\) south of east = \(360-40=320^{\circ}\) north of east
x and y component of \(v_a\)
\(v_{ax}=v_a\cos \theta\\\Rightarrow v_{ax}=3\times \cos 20^{\circ}\\\Rightarrow v_{ax}=2.82\ \text{m/s}\)
\(v_{ay}=v_a\sin\theta\\\Rightarrow v_{ay}=3\times \sin20^{\circ}\\\Rightarrow v_{ay}=1.03\ \text{m/s}\)
x and y component of \(v_b\)
\(v_{bx}=v_b\cos \theta\\\Rightarrow v_{bx}=6\times \cos 320^{\circ}\\\Rightarrow v_{bx}=4.6\ \text{m/s}\)
\(v_{by}=v_b\sin\theta\\\Rightarrow v_{by}=6\times \sin320^{\circ}\\\Rightarrow v_{by}=-3.86\ \text{m/s}\)
\(\Delta v=v_b-v_a\\\Rightarrow \Delta v=(4.6-2.82)\hat{i}+(-3.86-1.03)\hat{j}\\\Rightarrow \Delta v=1.78\hat[i}-4.89\hat{j}\)
Magnitude
\(|\Delta v|=\sqrt{(-4.89)^2+1.78^2}\\\Rightarrow \Delta v=5.2\ \text{m/s}\)
Direction
\(\theta=\tan{-1}|\dfrac{-4.89}{1.78}|\\\Rightarrow \theta=70^{\circ}\)
The magnitude of the change in velocity vector is \(5.2\ \text{m/s}\) and the direction is \(70^{\circ}\) south of east.
The change in velocity will be \(\Delta V=5.2\ \frac{m}{s}\) and the direction will be \(70^o\) South to east.
What are vector quantities?Any quantity which is defined by its magnitude and direction both are called as the vector quantities.
Now the data given in the question will be given as:
\(V_a\) = 3 m/s
\(\theta\) = \(20^o\) north of east
\(V_b\) = 6 m/s
\(\theta\) = \(40^o\)south of east = 360-40=320 north of east
Now we will find the x and y component of \(V_a\)
\(V_{ax}=V_acos\theta\)
\(V_{ax}=3\times Cos20\)
\(V_{ax}=2.82\ \frac{m}{s}\)
\(V_{ay}=V_aSin\theta\)
\(V_{ay}=3\times Sin20\)
\(V_{ay}=1.03\ \frac{m}{s}\)
Now we will find the x and y component of \(V_b\)
\(V_{bx}=V_bcos\theta\)
\(V_{bx}=6\times cos\320\)
\(V_{bx}=4.6\ \frac{m}{s}\)
\(V_{by}=V_bSin\theta\)
\(V_{by}=6\times Sin320\)
\(V_{by}=-3.86\ \frac{m}{s}\)
Now change in velocity will be
\(\Delta V=V_b-V_a\)
\(\Delta V=(4.6-2.82)i+(-3.86-1.03)j\)
\(\Delta V=1.78i-4.89j\)
The magnitude can be find out as follows:
\(\Delta V=\sqrt{(-4.89^2+(1.78^2)}\)
\(\Delta V=5.2\ \frac{m}{s}\)
The direction of the vector will be
\(\theta= tan^{-1}(\dfrac{-4.89}{1.78})\)
\(\theta=70^o\)
Thus the change in velocity will be \(\Delta V=5.2\ \frac{m}{s}\) and the direction will be \(70^o\) South to east.
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What is the mass of an object that has an acceleration of 2.63 m/s^2 when an unbalanced force of 112 N is applied to it?
Find the position and velocity of a particle at t = 1. 98 s if the particle is initially moving east at a speed of 20. 4 m/s and experiences an acceleration of magnitude 4. 40 m/s2, directed west. Magnitude and direction of the position. Magnitude ---blank---
direction ---Select---
Magnitude and direction of the velocity. Magnitude ---blank---
direction ---select---
Based on the provided information, Magnitude and direction of the position. Magnitude: 40.392 m; Direction: West.
Magnitude and direction of the velocity. Magnitude: 11.672 m/s; Direction: West.
It is given that:
Initial velocity of the particle = 20.4 m/s
Acceleration of the particle = 4.40 m/s²
Time at which the position and velocity of the particle is to be found = t = 1.98 s
We can find the position of the particle by using the formula:
position = initial_position + initial_velocity × time + (1/2) × acceleration × time² = 0 + (20.4 m/s) × (1.98 s) + (1/2) × (−4.40 m/s²) × (1.98 s)² = 40.392m west of the starting position.
Therefore, the magnitude of the position is 40.392 m. The direction of the position is west. Since the particle is moving in the opposite direction to the east.
Magnitude and direction of the velocity can be found by using the formula:
velocity = initial_velocity + acceleration × time= 20.4 m/s + (−4.40 m/s²) × (1.98 s) = 11.672 m/s directed west
Therefore, the magnitude of the velocity is 11.672 m/s. The direction of the velocity is west.
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An object with a mass of 5kg has a force of 20N applied to it. What is the resulting acceleration of the object?
Answer:
The answer is 4 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
where
f is the force
m is the mass
From the question
f = 20 N
m = 5 kg
We have
\(a = \frac{20}{5} \\ \)
We have the final answer as
4 m/s²Hope this helps you
Which most simplified form of the law of conservation of energy describes the motion of the block when it slides from the top of the table to the bottom of the ramp?
1/2mv^2i+mghi+Wnc=1/2mv^2f+mghf
1/2mv^2i+1/2kx^2i=1/2mv^2f+1/2kx^2f
1/2mv^2i+mghi=mghf+1/2kx^2f
1/2mv^2i+mghi=1/2mv^2f+mghf
1/2mv^2i+mghi+1/2kx^2i+Wnc=1/2mv^2f+mghf+1/2kx^2f
The most simplified form of the law of conservation of energy that describes the motion of a block sliding from the top of a table to the bottom of a ramp is:1/2mv^2i + mghi = 1/2mv^2f + mghf
In this equation, the terms represent different forms of energy. Let's break it down:
- 1/2mv^2i represents the initial kinetic energy of the block, where m is the mass of the block and vi is its initial velocity.
- mghi represents the initial potential energy of the block, where m is the mass, g is the acceleration due to gravity, and hi is the initial height of the block.
- 1/2mv^2f represents the final kinetic energy of the block, where vf is its final velocity.
- mghf represents the final potential energy of the block, where hf is the final height of the block.
This equation states that the sum of the initial kinetic energy and the initial potential energy of the block is equal to the sum of its final kinetic energy and final potential energy.
It implies that energy is conserved throughout the motion, with no energy lost or gained, neglecting any non-conservative forces or work done by friction (Wnc).
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