Average velocity is defined as the ratio in change in position to change in time,
v[ave] = ∆x/∆t
which on its own doesn't have anything to do with acceleration.
If acceleration is constant, the average velocity is the literal average of the initial and final velocities,
v[ave] = (v[final] + v[initial]) / 2
If this constant acceleration has magnitude a, the final velocity can be expressed in terms of the initial velocity by
v[final] = v[initial] + a*t
and plugging this into the previous equation gives
v[ave] = (v[initial] + a*t + v[initial])/2
v[ave] = v[initial] + 1/2*a*t
If the body in consideration is initially at rest, then
v[ave] = 1/2*a*t
which might be the relation you're looking for. But bear in mind the conditions I've underlined.
If acceleration is not constant and changes over time, so that the acceleration is some function of time a(t), then you can determine the velocity function v(t) by using the fundamental theorem of calculus. You need to know a particular velocity for some time to completely characterize v(t), though. For example, if you're given the initial velocity v[initial] = v(0), then
[tex]\displaystyle v(t) = v(0) + \int_0^t a(u) \, du[/tex]
or if you know any other velocity for some time t₀ > 0,
[tex]\displaystyle v(t) = v(t_0) + \int_{t_0}^t a(u) \, du[/tex]
A 78 N block is supported by a spring whose constant is 12 N/m. Calculate the elongation of the spring under this load.
a. 6.5 m
b. 1.5 m
c. 8.2 m
d. 7.2 m
Answer:
a 6.5 m
Explanation:
[tex]f = kx = > x = \frac{f}{k} = \frac{78}{12} = 6.5 m[/tex]
how to find acceleration with mass and force calculator
Use the equation a = F/m, where an is the acceleration, F is the force being applied, and m is the mass of the object, to calculate acceleration using mass and force. Calculating the acceleration is as simple as dividing the force by the mass.
What is Newton's second law of motion?Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the force applied on it, and inversely proportional to its mass. The mathematical representation of this law is:
F = ma
where F is the force applied on an object, m is the mass of the object, and a is its acceleration. This law implies that the greater the force applied on an object, the greater its acceleration will be, and that the acceleration of an object will decrease as its mass increases, given a constant force.
This law helps to explain the behavior of objects under the influence of external forces. It is used in many areas of science and engineering, including mechanics, physics, and aerospace. Understanding the relationship between force, mass, and acceleration is fundamental to the study of mechanics and the design of machines and structures.
Here in the Question,
To find acceleration using mass and force, you can use the following steps:
1. Determine the force acting on the object. This can be done using a force meter, a scale, or by calculating the force using the formula F = ma, where F is the force in newtons (N), m is the mass of the object in kilograms (kg), and a is the acceleration in meters per second squared (m/s²).
2. Measure the mass of the object in kilograms. This can be done using a scale.
3. Use the formula a = F/m to calculate the acceleration of the object. Rearrange the formula to solve for a: a = F/m.
5. Plug in the values for force and mass and solve for acceleration. For example, if the force acting on an object is 20 N and the mass of the object is 5 kg, the acceleration can be calculated as follows:
a = F/m
a = 20 N / 5 kg
a = 4 m/s²
So, the acceleration of the object is 4 meters per second squared.
It's important to note that the units of force and mass should be in the correct SI units (newtons and kilograms, respectively) to ensure the correct unit for acceleration (meters per second squared).
Therefore, To find acceleration using mass and force, use the formula a = F/m, where a is the acceleration, F is the force applied, and m is the mass of the object. Simply divide the force by the mass to calculate the acceleration.
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A billiard ball with a speed of 5 m/s strikes another stationary billiard ball in a perfectly elastic collision.
After the collision, the first ball has a speed of 4.35 m/s and is traveling at an angle of 30° below its original line of motion.
Find the speed and angle of the second ball, with respect to the initial line of motion, after the collision.
Assuming both billiard balls have the same mass, conservation of momentum says
[tex]m\vec v_1 + m\vec v_2 = m{\vec v_1}\,' + m{\vec v_2}\,'[/tex]
where m = mass of both billiard balls, and v₁ and v₂ = their initial velocities, and v₁' and v₂' = their final velocities. The masses are the same so the exact value of m is irrelevant. The first ball has initial speed 5 m/s and the second is at rest, so
[tex]\left(5 \dfrac{\rm m}{\rm s}\right) \, \vec\imath = {\vec v_1}\,' + {\vec v_2}\,'[/tex]
After the collision, the first ball has speed 4.35 m/s and is moving at angle of 30° below the original path, so
[tex]{\vec v_1}\,' = \left(4.35\dfrac{\rm m}{\rm s}\right)\left(\cos(30^\circ) \, \vec\imath + \sin(30^\circ) \, \vec\jmath\right) \approx \left(3.77 \dfrac{\rm m}{\rm s}\right) \vec\imath + \left(-2.18 \dfrac{\rm m}{\rm s}\right) \vec\jmath[/tex]
Then the second ball has final velocity vector
[tex]{\vec v_2}\,' \approx \left(1.23 \dfrac{\rm m}{\rm s}\right) \vec\imath + \left(2.18 \dfrac{\rm m}{\rm s}\right) \vec\jmath[/tex]
so it moves with speed
[tex]\left\|{\vec v_2}\,'\right\| \approx \sqrt{\left(1.23\dfrac{\rm m}{\rm s}\right)^2 + \left(2.18\dfrac{\rm m}{\rm s}\right)^2} \approx \boxed{2.50 \dfrac{\rm m}{\rm s}}[/tex]
at an angle of
[tex]\theta \approx \tan^{-1}\left(\dfrac{2.18}{1.23}\right) \approx \boxed{60.5^\circ}[/tex]
or about 60.5° above the original line of motion.
____________ is a medium-sized flat-topped hill with cliff-face sides that is taller than it is wide.
Answer:
mesa
Explanation:

A mesa is a flat-topped mountain or hill. It is a wide, flat, elevated landform with steep sides. ... Spanish explorers of the American southwest, where many mesas are found, used the word because the tops of mesas look like the tops of tables.
A bullet having mass of 120 g is fired. It its velocity is 40 m/s, calculate its kinetic energy
Happy Holidays!
Recall the equation for kinetic energy:
[tex]\large\boxed{KE = \frac{1}{2}mv^2}}[/tex]
KE = kinetic energy (J)
m = mass (kg)
v = velocity (m/s)
Begin by converting 120 g to kg:
1000g = 1 kg
120 g = .120 kg
Plug in the given values:
[tex]KE = \frac{1}{2}(.120)(40^2) = \boxed{96J}[/tex]
Answer:
96 Joules
Explanation:
[tex]E_k=1/2* mass*velocity^2\\E_k=1/2 * 0.12 kg * (40m/s)^2 = 96 J[/tex]
Exert a force on the object, what happens to their state of motion
The force might make the object move or bring the object to rest or change in direction of motion
2. The _____ investigate crimes anywhere in the state.
Answer:
State Police
the police organized and maintained by a state as distinguished from those of a lower subdivision (such as a city or county) of the state government.
1)A chocolate bar measures 10 cm long by 2 cm wide and is 2 cm thick
a)Calculate the volume of one bar.
b)How many bars each 2 cm long, 2 cm wide and 2cm thick have the same total volume?
c)A pendulum makes 10 complete oscillations in 8 seconds. Calculate the time period of the pendulum
Answer:
40cm³
Explanation:
I only have an answer to 1a
Volume = Length X breadth X height
where;
length = 10cm
breadth = 2cm and;
width = 2cm
*Find*
V = ?
V = L X B X H
V = 10 X 2 X 2
= 40cm³✓
how much power is needed to lift a box with a force of 780 newtons over a distance of 2 meters in 45 seconds
Answer:
34.67 WExplanation:
Power is the rate at which work is done and can be found by using the formula
[tex]p = \frac{w}{t} \\ [/tex]
p is the power in Watts (W)
w is the workdone in joules
t is time in s
but workdone = force × distance
From the question
force = 780 N
distance = 2 m
workdone = 780 × 2 = 1560 N
Since we now have the value of workdone we can find the power
We have
[tex]p = \frac{1560}{45} = 34.6666666... \\ [/tex]
We have the final answer as
34.67 WHope this helps you
How fast would a(n) 75 kg man need to run in order to have the same kinetic energy as an 8.0 g bullet fired at 420 m/s ?
[tex] = \frac{1}{2} \times 0.008 \times 420J \\ = 1.68J[/tex]
So, the kinetic energy of the bullet is 1.68 J. It is said that the man's kinetic energy should be same as that of the bullet.Mass of the man (m2) = 75 KgLet the velocity of the man be v2.Therefore,[tex]1.68J = \frac{1}{2} \times 75 \: kg \times v2 \\ = > v2 = \frac{1.68 \times 2}{75} m {s}^{ - 1} \\ = 0.0448 \: m \: {s}^{ - 1} [/tex]
Answer:
0.0448 m/s
Hope you could get an idea from here.
Doubt clarification - use comment section.
if vector b is added to vector a under what conditions does the resultant vector has magnitude a+b?
Explanation:
hope it's useful for you knows
how is the rate of evporation of a liquid affected by temperature, the surface area of a liquid exposed to air
Which is true for the motion of the car during its journey along OAB?
12)
A) The velocity of the car remains constant throughout the journey.
B) The change in speed alone causes the velocity of the car to vary.
C) The change in direction alone causes the velocity of the car to vary.
D) The velocity of the car changes due to the change in speed and dir
Answer:
D
Explanation:
A is wrong as the direction of the car changes, implying velocity is changing and not constant.
B and C are wrong as both the change in speed and direction contribute to the change in velocity
Please help is any one know Its correct answer
Answer:
a=Head
b=Tip
c=South pole of the magnet
d=North pole of the magnet
A car has a kinetic energy of 41.6 kJ.
The speed of the car is 8.0m/s.
Calculate the mass of the car.
how to find acceleration with force and mass calculator
Answer:
[tex]{ \rm{F=ma}} \\ [/tex]
Explanation:
F is forceM is massa is accelerationAnswer:
Please thank, answer below
Explanation:
Acceleration = (Final velocity - starting velocity)/time
Or, Force = mass * accelartion, which can be rewritten to be Accelaration = Force/mass
what is the net force required to give an automobile with a mass of 1,600 kg an acceleration of 4.5m/s
Hi there!
Recall Newton's Second Law:
[tex]\large\boxed{\Sigma F = ma}}[/tex]
∑F = Net force (N)
m = mass (kg)
a = acceleration (m/s²)
We are already given the mass and acceleration, so we can plug these values into the equation:
∑F = 1600 · 4.5 = 7200 N
Objects 1 and 2 attract each other with a gravitational force
of 18.0 units. If the mass of Object 1 is doubled mass of object 2 is tripled AND the
distance separating Objects 1 and 2 is halved, then the gravitational force will be
new gravitational force will be
units.
The new gravitational force of the two objects will be 432 N.
The given parameters:
Force between object 1 and object 2, F = 18 NLet the mass of object 1 = m1Let the mass of object 2 = m2Let the distance between the two object = rThe gravitational force between the two objects is calculated by applying Newton's law of universal gravitation;
[tex]F = \frac{Gm_1m_2}{r^2} \\\\G = \frac{Fr^2}{m_1m_2}\\\\G = \frac{Gm_1m_2}{r^2} \\\\G = \frac{18r^2}{m_1m_2}[/tex]
when the mass of the object 1 = 2m1mass of the object 2 = 3m2distance between the two object = ¹/₂r[tex]\frac{18r^2}{m_1 m_2 } = \frac{F_2(\frac{1}{2}r)^2 }{2m_1 \times 3m_2} \\\\\frac{18r^2}{m_1 m_2 } = \frac{F_2 \times r^2}{4 \times 2m_1 \times 3m_2} \\\\\frac{18r^2\times 4 \times 2m_1 \times 3m_2}{m_1 m_2\times r^2 } = F_2\\\\432 \ N = F_2[/tex]
Thus, the new gravitational force of the two objects will be 432 N.
Learn more about Newton's law of universal gravitation here: https://brainly.com/question/9373839
why can you predict how the moon will change appearance from day to day
As the Moon orbits our planet, its varying position means that the Sun lights up different regions, creating the illusion that the Moon is changing shape over time. This is because it rotates once on its axis in exactly the same time it takes to orbit Earth – 27 days and seven hours
when do magnets have the most potential energy
Answer:
Explanation:
Permanent magnets do have potential energy, stored in their magnetic field. That energy can be compared to the potential energy of some compressed spring. See the picture below, representing the magnetic field lines of a magnetized sphere : These lines are compressed inside the magnet.
train travels 1/4of its total distance over half of its time with a constant velocity of 5m/s. calculate the average velocity
Let D be the total distance (say in meters) traveled by the train and T the time (say in seconds) it takes to do so. (Assume the train moves in a straight line in only one direction.) Then the average velocity of the train as it covers this distance is
v (ave) = D/T
We're told the train can traverse a distance of D/4 in a matter of T/2 seconds if it moves at a speed of 5 m/s. This means
D/4 = (5 m/s) (T/2)
⇒ 5 m/s = 1/2 D/T
⇒ v (ave) = D/T = 10 m/s
If a rock weighing 3.5 newtons is resting on cliff's ledge 12 meters from the canyon floor, what is its potential energy?
Group of answer choices
87 joules
4.5 joules
42 joules
142 joules
Answer:
42 Joules
Explanation:
Potential energy
= weight × height
= (3.5)(12)
= 42 joules
Which is the United States Space Shuttle-derived heavy expendable launch vehicle being designed by NASA?
Answer:
Space Launch System (SLS)
Explanation:
Space Launch System (SLS) is the United States Space Shuttle-derived heavy expendable launch vehicle being designed by NASA.
-TheUnknownScientist 72
> what are the four states of matter? how are they defined?
Answer:
In physics, a state of matter is one of the distinct forms in which matter can exist. Four states of matter are observable in everyday life: solid, liquid, gas, and plasma.
...
To From Gas
Solid Deposition
Liquid Condensation
Plasma Ionization
Tool
Scientists are searching for planets that orbit stars outside Earth's solar system by collecting data from different technology tools. A student lists a few tools and their cases that would provide clients
with information about these planets in a table, as shown
Use
spectroscope
gathers information about the
planets in any weather conditions
space probe
collects data from the planets that
would otherwise not be available
identifies different elements present
reflector telescope
around the planets
radio telescope produces images of the planets
Which tool is paired correctly with its intended use?
space probe
Opectroscope
radio telescope
reflector telescope
Answer:
9758 how many significant figures
Calculate amount of current flowing in wire if number of charge is 8 and e = 1.69 x10^-19 , t= 8millsec
The amount of current flowing in the wire is 1.69 × 10⁻¹⁶ A
From the question,
We are to calculate, the amount of current flowing in the wire.
From the formula,
[tex]I =\frac{nQ}{t}[/tex]
Where I is the current
n is the number of charge
Q is the quantity of charge
t is the time
From the given information
n = 8
Q = e = 1.69 × 10⁻¹⁹ C
t = 8 msecs = 8 × 10⁻³ sec
Putting the parameters into the formula, we get
[tex]I = \frac{8 \times 1.69 \times 10^{-19} }{8\times 10^{-3} }[/tex]
[tex]I = 1.69 \times 10^{-16} \ A[/tex]
Hence, the amount of current flowing in the wire is 1.69 × 10⁻¹⁶ A
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what are some examples of non-inertial reference frames, and how exactly can we prove they're non inertial?
Answer:Passengers instinctively use the car as a frame of reference, while a physicist uses Earth. ... In such a frame of reference, Newton's laws of motion take the form given in Dynamics: Newton's Laws of Motion The car is a non-inertial frame of reference because it is accelerated to the side.
Explanation: Example of inertial and Noninertial Frame of Reference
Which is the correct answer
Answer:
C
Explanation:
All of the other options are affecting the gravitational force and opposing force that pushed upwards, the diagram represents an object that is not moving up or down.
whats 10x10 PLEASE I NEED THIS
Answer:
100
Explanation:
A 3.1 kg carton's GPE was increasing by 7.8 J as it was lifted above the ground. How high was it lifted?
Answer:it was lifted
Explanation:
by me lifting it because i can life it very high