A ball experiences forces of 14 N [N] and 9.2 N [W]. A Free Body diagram is required. What is the acceleration of the ball if its mass is 225 g?
Answers
Answer:
First, we can define the North as the positive y-axis, and the East as the positive x-axis.
Here we have two forces:
F₁ = 14N to north
F₂ = 9.2 N to west.
Then the free body diagram will be the one that can be seen below:
Now we want to find the acceleration that the ball experiences if the mass is 225g
Knowing that 1k = 1000g, we can rewrite the mass as:
M = 0.225g
Here we also need to remember the second Newton's law:
F = M*a
Net force equals mass times acceleration.
First, let's find the net force:
F = F₁ + F₂ = 14N*(0, 1) + 9.2N*(-1, 0 )
F = (-9.2N, 14N)
The module of the force is then:
I F I = √( (-9.2N)^2 + (14N)^2) = 16.75 N
Then the acceleration is given by
16.75 N = 0.225kg*a
(16.75 N)/(0.225 kg) = a = 74 m/s^2
![A Ball Experiences Forces Of 14 N [N] And 9.2 N [W]. A Free Body Diagram Is Required. What Is The Acceleration](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/XYQepwlTMSPOCduihT5CrmTUz07tOKhJ.png)
Related Questions
A hair dryer uses 1100 W of power
when connected to a 110 V outlet.
What is the resistance of the hair
dryer?
Answers
Answer:10
Explanation:acellus
A 10kg box accelerates forward at a rate of 12 m/s^2. What is the force acting on the box?
120N
N8'0
ON
Answers
Answer:
120N
Explanation:
Newton's second law formula: F= ma
given that m = 10 kg, a = 12 m/s^2
F = ma = 10 kg * 12 m/s^2 = 120 kgm/s^2 = 120 N
The force acting on the box is equal to 120N. Therefore, option (A) is correct.
What is Newton's second law of motion?According to Newton's 2nd law of motion, The force acting on an object is equal to mass times the acceleration of that object.
This law tells that the acceleration of a moving body depends upon two variables in which one is the mass of the object which is constant while the other is the force acting on that object. The acceleration of an object increases as the mass of the object is less.
The mathematical equation of the second law of motion can be written as:
F = ma
Given, the mass of the box, m = 10 Kg
The acceleration of the box, a = 12m/s²
We can find the force acting on the box by putting the values a and m:
Force acting on the box, F = 10 ×12 = 120 N
Therefore, the force acting on the box is equal to 120 newtons.
Learn more about Newton's 2nd law of motion, here:
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9. How is spring potential energy determined from a force versus position graph?
Answers
Answer: The potential energy associated with a mass attached to a spring depends on how much the spring is stretched or compressed. ... The gravitational force on the mass is −mg (“−” because the force points down). The force is the negative of the slope on the potential energy versus position graph.
Explanation:
:)
By getting the data from the graph of force versus displacement we can calculate the Potential energy of the spring.
What will be the potential energy?As we know that potential energy is defined as the energy possessed by the body due to its position with respect to other positions.
For an example the potential energy of an object if it is placed at height h will be due to the gravitational acceleration of the earth and is given by [tex]PE=mgh[/tex]
Similarly, for a spring-mass system, the potential energy will be due to the weight of the mass that will be the force exerted by the mass on the spring so there will be an extension in the spring.
So this extension will be found out by the force and displacement graph as the position of the mass attached to the spring goes down so the potential energy can be calculated as the
[tex]PE= F\times X[/tex]
[tex]F=mg[/tex] weight of the mass
X= deflection of the spring
Thus by getting the data from the graph of force versus displacement we can calculate the Potential energy of the spring.
To know more about potential energy follow
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Explain what cardiovascular exercise is in your own words. Explain the benefits of it and how it is different than muscular strength. Give 3 examples of cardiovascular exercises/activities
Answers
Two forces each of magnitude 25N acts in opposite direction at the opposite end of a circular ring. If the diameter at the ring is 65cm. Calculate the magnitude of the couple acting on the ring.
Answers
Answer:
The magnitude of the couple is 16.25 Nm.
Explanation:
A couple is a force that always produce a turning effect of objects on which it is applied. It has applications in doors, taps, revolving doors etc. Couple is a two equal but opposite force applied on an object.
couple = force x length
From the given question, the couple acting on the ring can be determined as;
couple = 25 x 0.65
= 16.25 Nm
The magnitude of the couple is 16.25 Nm.
A set of charged plates have an
area of 8.22*10^-4 m^2 and
separation 2.42*10^-5 m. The
plates are charged with
5.24*10^-8 C. What is the
potential difference V between
the plates?
(Unit = V)
pls hurry <3
Answers
Answer:
175
Explanation:
its for Acellus
The potential difference is V=1.743*10^-7
The voltage is generally referred to as the electric potential difference and it can be measured using a voltmeter. The electrical potential difference between the two plates is expressed as q=CV.
CALCULATION
we know,
q=CV
q={EA/d}*V
here q= 5.24*10^-8C
A=8.22*10^-5m^2
d=2.42*10^-8m
therefore , C={( 8.85*10^-12)*(8.22*10^-5)}/(2.42*10^-8)
C=3.006*10^-1
q=CV
q/C=V
V=1.743*10^-7
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A ball is released from a height of 20 metres. Calculate; 1. The time it takes to fall 2. The velocity with which it hits the ground
Answers
Answer:
Final velocity of ball = 20 m/s
Explanation:
Given:
Height when ball released = 20meter
Find;
Time taken to fall
Final velocity of ball
Computation:
Initial velocity of ball = 0 m/s
Acceleration due to gravity = 10 m/s²
Using equation of motion;
S = ut + (1/2)(g)(t²)
20 = (0)(t) + (1/2)(10)(t²)
20 = 5(t²)
(t²) = 20 / 5
(t²) = 4
Time taken to fall = 2 second
V = u + at
V = 0 + (10)(2)
Final velocity of ball = 20 m/s
verdadero o falso de La energía interna es la energía térmica asociada al objeto en virtud del movimiento de sus moléculas.
Necesito ayuda, porfa.
Answers
Answer:
Es la energía cinética interna total de un objeto debido al movimiento aleatorio de sus ... a es la energía que posee un objeto o cuerpo en virtud del movimiento de sus ... Si el movimiento de estas moléculas y átomos es más rápido, se dice que el ... Por lo tanto, la energía térmica asociada con la conducción resulta de la .
Explanation:
An electron has a mass of 9.1x10-31 kg. What is
its momentum if it is travelling at a speed of
3.5x10 m/s?
Answers
Answer:
3.185×10^-29 kgm/s
Explanation:
Momentum(p)=mass×velocity
=9.1×10^-31×3.5×10
=3.185×10^-29 kgm/s
the shock absorbers in a car act as a big spring with k= 21900 N/m. when a 92.5 kg person gets in, how far does the spring stretch?
Answers
Answer: 0.04139m
Explanation:
First, we need to calculate the weight of the man which will be:
Weight = mass × acceleration due to gravity
Weight = mg
Weight = 92.5 × 9.8
Weight = 906.5N
Then, we calculate the force which will be:
F = kx
mg = kx
x = mg/k
x = 906.5/21900
x = 0.04139m.
The spring stretched for 0.04139m.
Question 8
Swimming in an open body of water (like a river, lake, or ocean) is different from swimming in a
Answers
Answer:
pool
Explanation:
I think
Hope this helps
Kevin bikes to the pizza place for lunch. He rides 1 km east, 3 km north, 4 km west, and finally 3 km south. What was his displacement?
Answers
Answer:
3kmExplanation:
To get the displacement, we will make use of the expression;
[tex]D = \sqrt{(\sum d_x)^2+(\sum d_y)^2}[/tex]
Taking the sum of the distances along the x;
dx = 1km - 4km
dx = -3km
Taking the sum of the distances along the y axis
dy = 3km - 3km
dy = 0km
Substitute into the formula above;
[tex]R = \sqrt{(-3)^2+(0)^2}\\R = \sqrt{9} \\R = 3km\\[/tex]
Hence his displacement is 3km
What is the average kinetic energy (temperature) of
sample A
Answers
a 20 A fuse is connected in series with a circuit containing a 240 V source. What is the minimum resistance required to prevent the fuse from melting
Answers
Answer:
12 ohms
Explanation:
you just divide 240 and 20
240 V/ 20 A = 12 ohms
What is one problem that you think needs to be solved so that your future is safer for your children?
Answers
Answer:
Systemic racism
Explanation:
Which one of the following properties apply to both waves and particles?
A) Photoelectric Effect
B) Diffraction
C) Refraction
Answers
Answer:
b
Explanation:
sorry if im wrong
Which is a benefit of a scientific model?
A.) It provides a complete image of the concept it is modeling.
B.) It provides an accurate scale of the concept it is modeling.
C.) It provides an accurate visual representation of the texture and coloring of the concept it is modeling.
D.) It provides a useful understanding of the concept it is modeling.
Answers
Which change would create light?
A. An electron in an atom jumping from a lower energy state to a higher one.
B. Two electrons from the same atom colliding
C. An electron in an atom jumping from a higher energy state to a lower one.
D. Two electrons from two different atoms colliding.
Answers
Answer:
Im not 100% sure but i think the answer is A. An electron in an atom jumping from a lower energy state to a higher one.
Explanation:
lmk if its wrong
What type of liquid would never freeze
Answers
Answer:
gas
Explanation:
gasoline will never freeze up
Answer:
Alcohol
Explanation: I'm not sure
An incline plane is 12-m long and 4-m high. A block is pulled up the ramp with a spring scale. The reading on the spring scale is 70-N. How many Newtons would the block actually weigh if you had to lift it the 4-m height?
Answers
Answer:
W = 210 N
Explanation:
For an ideal machine:
[tex]Work\ In = Work\ Out\\(P)(L)=(W)(H)[/tex]
where,
P = Effort = Spring Scale Reading = 70 N
L = Effort Arm = Length of inclined plane = 12 m
W = Actual Load (Weight) to be lifted = ?
H = Load Arm = Height = 4 m
Therefore,
[tex](70\ N)(12\ m) = (W)(4\ m)\\\\W = \frac{(70\ N)(12\ m)}{4\ m}[/tex]
W = 210 N
4.- Una vagoneta de 1000 kg de peso parte del reposo en el punto 1 y desciende, sin rozamiento, por la vía indicada en la figura. A) Calcular la fuerza que la vía ejerce sobre la vagoneta en el punto 2, donde el radio de curvatura es de 6 m. B) Determinar el mínimo valor del radio de curvatura en el punto 3 para salvar dicho punto
Answers
Answer:
A) 49,050 N
B) 16 m
Explanation:
Question:
El dibujo de la pregunta se obtiene de un documento titulado "TRABAJO DIVERSO Y ENERGÍA" que se encuentra en línea y se presenta aquí.
La masa dada del vagón, m = 1,000 kg
La altura del punto en el que descansa el vagón, punto 1, h₁ = 12 m
A) El radio en el punto 2, el punto más bajo, R = 6 m
La fuerza, 'N', que la vía ejerce sobre el vagón en el punto 1 viene dada por la siguiente relación;
N = El peso del vagón + La fuerza de movimiento del vagón
∴ N = m × g + m × a
Dónde;
g = La aceleración debida a la gravedad ≈ 9,81 m / s²
a = La aceleración del vagón
Observamos que para el movimiento circular, la fuerza de movimiento del vagón, m × a = La fuerza centrípeta que actúa sobre el vagón = m × v² / R
∴ m × a = m × v² / R
Dónde;
v² = La velocidad del vagón en el punto 2 = 2 · g · h₁
Por lo tanto;
N = m × g + m × a = m × g + m × v² / R = m × g + m × 2 · g · h₁ / R
∴ N = 1000 × 9,81 + 1000 × 2 × 9,81 × 12/6 = 49,050
La fuerza que ejerce el vagón en el punto 2, N = 49,050 N
B) En el punto 3, tenemos;
N = m · g - m · a₃
La fuerza centrípeta en el punto 3, m · a₃ = m · v₃² / R₃
∴ La altura en el punto 3, h₃ = 4 m
El cuadrado de la velocidad en el punto 3, v₃² = 2 · g · (h₁ - h₃)
Para que el vagón esté seguro en el punto 3, la fuerza de la vía sobre el vagón, N = 0 para que el vagón permanezca en la vía actuando
Por lo tanto;
N = m · g - m · a₃ = 0
m · g = m · a₃ = m · v₃² / R₃ = m · (2 · g · (h₁ - h₃)) / R₃
∴ R₃ = (2 · g · (h₁ - h₃)) / g = (2 · (h₁ - h₃)) = 2 × (12 - 4) = 16
El radio de curvatura en el punto 3 para que el punto sea seguro es R₃ = 16 m.
How do the properties of the planets change as you move away from the sun?
Answers
Answer:
as we move away from the sun the velocity of the planet decreases
B. Direction: In each of the following situations, identify the method of heat transfer that takes place
(conduction, convection, or radiation).
1. Hot milk is stirred with a spoon, later the spoon gets hot
2. The air near the ceiling of a closed room is warmer, because the warm air rises.
3. You are doing artwork at your table near a lamp, you start to feel hotter.
4. During nighttime, the cool air from the land moves toward the sea to replace the rising warm air.
5. In a pool, the water near the surface is slightly warmer.
6. The washed clothes under the sun dries up.
7. The scouts stand near a bonfire during their camping-
8. Fish is cooked over a hot pan.
9. Iron nail being heated in a candle.
10. A boy playing outside starts to feel hotter.
Answers
Answer:
1) Conduction
2)Covection
3)Radiation
4)Convection (Land breeze one of the application of convection of heat)
5) Convection
6)Radiation
7) Radiation
8)Conduction
9) Conduction
10) Radiation
Hope it helps
what's Quantum Mechanics?
Answers
Answer:
The branch of mechanics deals with the mathematical description of the motion and interaction of subatomic particles, incorporating the concepts of quantization of energy, wave–particle duality, the uncertainty principle, and the correspondence principle is Quantum Mechanics.
Answer:
Explanation:
Quantum Mechanics is a branch of physics that deals with sub-atomic particles and their energy states. Its theory says at subatomic level, energy exists in discrete levels as "quanta" and particles behave as waves.