Answer:
104 km
Explanation:
Displacement = Velocity x Time
= 13 x 8
= 104 km
A badminton shuttlecock leaves the racquet traveling 30 m/s. It goes over the net 0.5
seconds later with a speed of 10 m/s. Calculate its average acceleration.
Given :
A badminton shuttlecock leaves the racquet traveling 30 m/s.
It goes over the net 0.5 seconds later with a speed of 10 m/s.
To Find :
The average acceleration of the shuttlecock.
Solution :
We know, average acceleration(a) is given by :
\(a = \dfrac{\text{Change in speed}}{\text{Time taken }}\\\\a = \dfrac{10-30}{0.5 }\ m/s^2\\\\a = -40\ m/s^2\)
Therefore, the average acceleration is -40 m/s².
On the moon, what would be the force of gravity acting on an object that has a mass of 7kg?
Answer:
Force of gravity, F = 70 N
Explanation:
It is required to find the force of gravity acting on an object that has a mass of 7 kg. Force of gravity always acts in downward direction.
The force of gravity is equal to the weight of an object. It is given by :
\(F=mg\)
g = acceleration due to gravity, for Earth, g = 10 m/s²
So,
\(F=7\times 10\\\\F=70\ N\)
So, 70 N of force of acting on an object.
What's one of the most popular youth team sports for girls in the United States , despite the lack of a professional league
A. Field hockey
B. Soccer
C. Volleyball
D. Basketball
D. Basketball
the answer is Basketball.
it is the most popular youth team sport for girls
in the united states
According to the principal of superposition,
Answer:
the resultant wave is the algebraic sum of all the waves reaching that particular point at a given time.
Explanation:
imagine two or three waves reaching a particular particle x at the same time. The particle will vibrate those waves and give out or transmit a resultant wave which is the algebraic sum of the incoming two waves. If both the waves have the same amplitude and phase, the resultant wave will be amplified. However if the waves have the same amplitude and equal but opposite phase then the resultant wave will be a straight line
What potencial difference (volt) is required to cause 4.00 A to flow though a resistance of 330 ohms?
A) 334V
B) 12,1V
C) 82,5V
D) 1320V
Voltage = (current) x (resistance)
Voltage = (4.00 A) x (330 Ω)
Voltage = 1,320 V (D)
what is the Area of square ?
Answer:
Lx W
Explanation:
what is the full distance when an object is thrown at 35 m/s at an angle of 45 degrees
Okay, here are the steps to calculate the full distance traveled when an object is thrown at a certain speed and angle:
You have the initial velocity (v): 35 m/s
You have the launch angle (θ): 45 degrees
We need to split the initial velocity into its horizontal (vx) and vertical (vy) components.
To calculate vx (horizontal component):
vx = v * cosθ
vx = 35 * cos(45) = 24.7 m/s
To calculate vy (vertical component):
vy = v * sinθ
vy = 35 * sin(45) = 24.7 m/s
We can calculate the horizontal distance (d) traveled using:
d = vx * t (where t is time)
Since there is no air resistance, the vertical velocity (vy) will remain constant. This means the time the object is in the air is:
t = vy / g (where g is acceleration due to gravity, 9.8 m/s^2)
t = 24.7 / 9.8 = 2.52 seconds
Now we can calculate the full horizontal distance traveled:
d = vx * t
d = 24.7 * 2.52
= 62.3 meters
So the full distance the object will travel when thrown at 35 m/s at a 45 degree angle is approximately 62 meters.
Let me know if you have any other questions!
Answer:
To calculate the full distance traveled by an object thrown at a velocity of 35 m/s at an angle of 45 degrees, we need to consider the horizontal and vertical components of the motion separately.
The horizontal component of the motion remains constant throughout the trajectory and is given by:
Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)
In this case, the initial velocity is 35 m/s, the angle is 45 degrees, and we need to find the time of flight.
The time of flight can be calculated using the vertical component of the motion. The vertical motion can be described using the equation:
Vertical displacement = (Initial velocity * sin(angle))^2 / (2 * acceleration)
Where the initial velocity is 35 m/s, the angle is 45 degrees, and the acceleration is the acceleration due to gravity, approximately 9.8 m/s^2.
The vertical displacement is zero at the highest point of the trajectory since the object comes back down to the same height it was launched from. So we can solve the equation for the time of flight.
Using these calculations, we can find the horizontal distance traveled by the object.
Let's calculate step by step:
Step 1: Calculate the time of flight
Vertical displacement = 0 (at the highest point)
0 = (35 * sin(45))^2 / (2 * 9.8)
0 = (24.75^2) / 19.6
0 = 616.0125 / 19.6
0 = 31.43
Step 2: Calculate the time of flight
Vertical displacement = (Initial velocity * sin(angle)) * time - (1/2) * acceleration * time^2
0 = (35 * sin(45)) * time - (1/2) * 9.8 * time^2
0 = 24.75 * time - 4.9 * time^2
4.9 * time^2 - 24.75 * time = 0
time * (4.9 * time - 24.75) = 0
time = 0 (initial point) or 24.75 / 4.9
time = 5.05 seconds
Step 3: Calculate the horizontal distance
Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)
Horizontal distance = 35 * 5.05 * cos(45)
Horizontal distance = 35 * 5.05 * (sqrt(2)/2)
Horizontal distance = 88.96 meters
Therefore, when an object is thrown at 35 m/s at an angle of 45 degrees, the full distance traveled is approximately 88.96 meters.A plank AB 3m long weighing 20kg and with center of gravity 2m from the end A carries a load of mass 10kg at the end A it rests on two supports CandD.
1, compute the values of the reaction forces R1 and R2 at C and D.
2, how far from D and on which side of it must a mass of 24kg be placed on the plank so as to make the reactions equal? What are their values.
3,without this 24kg what vertical force applied at B will just lift the plank clear of D? What is then the reaction at C.
The answers are 1) The value of R2 is not relevant as it implies a downward force on the plank, 2) The reactions at C and D are 66.3 N and 90 N, respectively, and 3) The vertical force at B to lift the plank clear of D is 686.4 N. The reaction at C is zero, and the reaction at D is 61.4 kg.
1) R1 and R2 at C and D respectively are given by the equation R2 = (m1 + m2)g - R1, where m1 and m2 are the masses of the plank and load, respectively, and g is the acceleration due to gravity. Hence, substituting values R2 = (20 + 10) × 9.81 - R1 = 294.3 - R1. Now, taking moments about D, the following equation can be obtained: (20 × 1 + 10 × 3)g = R1 × 2 + R2 × 3 = 2R1 + 3 × (294.3 - R1) = 882.9 - R1, from which R1 = 343.7 N and R2 = 294.3 - 343.7 = -49.4 N. Since the support at D can only push the plank upwards and cannot pull it downwards, a negative value for R2 implies that the plank is actually being pulled downwards by an external force. Therefore, the value of R2 is not relevant. 2) The total weight of the plank and the load acting at the end A is 20 + 10 = 30 kg. For the reactions at C and D to be equal, the 24 kg mass must be placed at a distance x from D such that x × 30 = 24 × 6, from which x = 12/5 = 2.4 m. Since the 24 kg mass is being placed to the left of the plank, it will cause the reaction at C to decrease and that at D to increase. Thus, if R is the vertical force applied at B, then taking moments about D gives 20g × 1 - 10g × 3 + R × 6 = 0, from which R = 90 N. Taking moments about C gives R × 3 - 10g × 2 = 0, from which R = 66.3 N. 3) The vertical force applied at B that will just lift the plank clear of D is the weight of the plank and the load acting at the end A plus the weight of the part of the plank that is to the right of D. The weight of the plank and the load acting at the end A is 20 + 10 = 30 kg, and the weight of the part of the plank that is to the right of D is 24 × 1.6 = 38.4 kg. Therefore, the vertical force applied at B that will just lift the plank clear of D is (20 + 10 + 38.4)g = 686.4 N. The reaction at C is zero because the plank is not being supported there anymore. The reaction at D is the same as the weight of the plank and the load acting at the end A plus the weight of the part of the plank that is to the right of D, which is 20 + 10 + 24 × 1.6 = 61.4 kg.For more questions on acceleration
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A car slows down from 27.7 m/s
to 10.9 m/s in 2.37 s.
What is its acceleration?
Answer:
- 7.088 m/s²
Explanation:
As we know that,
★ Acceleration = Change in velocity/Time
→ a = (v - u)/t
Here,
Initial velocity (u) = 27.7 m/sFinal velocity (v) = 10.9 m/s→ a = (10.9 m/s - 27.7 m/s)/2.37 s
→ a = -16.8/2.37 m/s²
→ a = -7.088 m/s² [Answer]
Negative sign denotes that the velocity is decreasing.
Answer:
\(\boxed {\boxed {\sf -7.09 \ m/s^2}}\)
Explanation:
We are asked to find the acceleration of a car. Acceleration is the change in velocity with respect to time. We will use the following formula:
\(a= \frac {v_f-v_i}{t}\)
In this formula, \(v_f\) is the final velocity, \(v_i\) is the initial velocity, and \(t\) is the time. The car slows down from 27.7 meters per second to 10.9 meters per second in 2.37 seconds. Therefore:
\(v_f\)= 10.9 m/s \(v_i\)= 27.7 m/s \(t\)= 2.37 sSubstitute the values into the formula.
\(a= \frac{ 10.9 m/s-27.7 m/s}{2.37 \ s}\)
Solve the numerator.
10.9 m/s - 27.7 m/s= -16.8 m/s\(a= \frac{-16.8 \ m/s}{2.37 \ s}\)
Divide.
\(a= -7.088607595 \ m/s/s\)
\(a= -7.088607595 \ m/s^2\)
The original measurements of velocity and time have 3 significant figures, so our answer must have the same. For the number we found, that is the hundredth place. The 8 in the thousandth place tells us to round the 8 in the hundredth place up to a 9.
\(a \approx - 7.09 \ m/s^2\)
The acceleration of the car is approximately -7.09 meters per second squared. The acceleration is negative because the car is slowing down.
5. Did objects have to touch to interact? What causes this?
Answer:
★ For example, a useful analogy for explaining the Earth's gravity force is that the Earth can pull on objects without touching them just like a magnet can affect other objects without touching them. In Addition, the main notion to convey here is that forces can act at a distance with no perceivable substance in between.
Explanation:
Hope you have a great day :)
No, objects have no need to touch for interaction.
Forces that interact with objects without touchingWe know that there are some forces which interact with the objects from far distance without touching such as gravity of the earth. The Earth's gravitational force is that the Earth can pull on objects without touching them so we can conclude that objects have no need to touch for interaction with one another.
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What is the force of a 12 kg object that is accelerating 6 m/s
We are given:
Mass of object (m) = 12 kg
acceleration (a) = 6 m/s²
Solving for the Force:
From newton's second law of motion:
F = ma
replacing the variables
F = 12*6
F = 72N
A car going at 75 miles/hr slows down to 25 miles/hr in 2.5 sec; calculate the acceleration.
vi = initial speed = 75 miles/hour =167.7 m/s
vf = final speed = 25 miles/hour = 55.9234 m/s
t = time = 2.5 seconds=
a = acceleration
\(a=\frac{vf-vi}{t}\)Replacing with the values given:
\(a=\frac{55.9234-167.7}{2.5}\)a = 44.74 m/s^2
Vector C is 6.28 units long in a105° direction. In unit vectornotation, this would be writtenas:C = [?]î + [?]i coefficient (green)j corfficient (yellow)
We have a vector 6.28 units long in 105° direction
\(\begin{gathered} 6.28\cos (105)=-1.62 \\ 6.28\sin (105)=6.03 \end{gathered}\)Therefore the vector C is
\(\vec{C}=-1.62i+6.03j\)Wind currents move from high to low pressure. true or flase
Answer:
TRUE
Explanation:
Gases move from high-pressure area to low-pressure area
What could apply to the free body diagram in the image, assuming the force vectora shown are of equal lenght.
Answer:
d
Explanation:
True or false? A system must contain more than one object.
Answer:
False
Explanation:
I'm not sure but from what I've learned everything has matter.
A small car meshes with a large truck in a head-on collision. Which of the following statements concerning the momentum during the collision are correct? (There could be more than one correct choice.) a. The momentum of the car is conserved, The momentum of the truck is conserved. b. The momentum of the car-truck system is conserved, but the momentum of each one separately is not conserved. c. The car and the truck must undergo the same change in speed. d. The momentum of the car and the momentum of the truck are each conserved
The small car and the truck experience the same magnitude of momentum change.
The given problem is based on the concept of momentum and law based on it, which is known as Conservation of momentum. As per the law of conservation of momentum, "Whenever there is a collision between the two objects, then the change in momentum before collision is equal to the change in momentum after the collision".
From the conservation of momentum, whatever magnitude of momentum is lost by one of the vehicles will be gained by the other vehicle and momentum will be conserved.
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Answer fast please. Thanks
The bowling ball has starts out at rest (0= speed m/s) at the top of the building (height 40 m). How much potential energy does the ball have?
How much Kinetic energy does the bowling ball have?
How much total energy (Potential energy & Kinetic) does the bowling ball have?
Of the bowling ball's total energy, is more in the form of potential or kinetic energy?
Answer:
it has 40 potential/ 20 kinetic energy/ do the math
Explanation:
energy
A 720 g softball is traveling at 15.0 m/s when caught. If the force of the glove on the ball is 520 N, what is the time it takes the ball to stop
Answer:
The time it takes the ball to stop is 0.021 s.
Explanation:
Given;
mass of the softball, m = 720 g = 0.72 kg
velocity of the ball, v = 15.0 m/s
applied force, F = 520 N
Apply Newton's second law of motion, to determine the time it takes the ball to stop;
\(F = ma = \frac{mv}{t} \\\\t = \frac{mv}{F} \\\\t = \frac{0.72 \ \times \ 15}{520} \\\\t = 0.021 \ s \\\)
Therefore, the time it takes the ball to stop is 0.021 s.
Which reaction is mainly responsible for the cause of energy radiation from the sun?
Nuclear fusion reaction is mainly responsible for the cause of energy radiation from the sun.
Solar energy is created due to this nuclear fusion. The discharge of energy in the sun is 10²⁶ joules per second
There is nuclear fusion of hydrogen into helium molecules.
Takes place in solar nucleus/plasma, because this reaction can occur only in high temperature.
The special type of fusion that take place in sun is proton-proton fusion.
This kind of fusion is responsible for the cause of energy radiance and is a very efficient method of producing energy.
The 2 condition which help H-H atoms come together is large mass of the sun and the force of gravity.
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how many males are color blind one in 50 1 and 10 one hundred one and 12
One in twelve males have color blindness whereas One in two-hundred females have color blindness. Thus, Option D is correct.
Color blindness is the ability to distinguish different colors. It is hard to differentiate the colors between the same color family. A person with color blindness can not able to see red and green, and can able to see grey, black, and white. It is often inherited.
A person with color blindness can not able to differentiate the colors between red and green. There are three types of color blindness they are Deuteranomaly (difficulty with red-green color blindness and it makes green look redder), Protanomaly(red look greener), Protanopia, and deuteranopia (difficulty in identifying red and green). It is cured by using proper contact lenses.
Thus, One in twelve males has color blindness. Hence, the ideal solution is option D.
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What is Concave lenses ?
Explanation:
A concave lens is also known as a diverging lens because it is shaped round inwards at the centre and bulges outwards through the edges, making the light diverge. They are used to treat myopia as they make faraway objects look smaller than they are.
A basketball player is getting ready to jump, pushing off the ground and accelerating upward.
A) Draw a force identification diagram.
B) Draw a free body diagram.
Answer:
B
Explanation:
B
A sodium surface is illuminated with light of wavelenght 300nm. The work function of the metal is 2.4eV.
1. Determine the K.E
2. The cutt-off wavelenght of sodium
Answer:
1) 1.67eV
2) 505nm
Explanation:
The maximum kinetic energy of photoelectrons ,
KEmax=λhc−W=(0.3×10−6)(1.6×10−19)(6.62×10−34)(3×108)eV−2.46eV=1.67eV
If λ0 is the cut-off wavelength, W=λ0hc
or λ0=Whc=2.46×1.6×10−19(6.62×10−34)(3×108)=5.05×10−7m=505×10−9=505nm
We know that the work function is the minimum photon energy for taking place of photoelectric effect.
1) In hydrogen, the transition from level 2 to level 1 has a rest wavelength of 121.6 nm.
Find the speed for a star in which this line appears at wavelength 120.8 nm .
3) Find the speed for a star in which this line appears at wavelength 121.1 nm ..
5) Find the speed for a star in which this line appears at wavelength 121.8 nm .
7)Find the speed for a star in which this line appears at wavelength 122.4 nm .
To find the speed of a star in which the hydrogen transition from level 2 to level 1 appears at wavelength 120.8 nm, we can use the Doppler effect. The Doppler effect states that the observed wavelength of light (λobs) emitted by a moving object will be shifted relative to its rest wavelength (λrest) by an amount proportional to the object's velocity (v) with respect to the observer:
λobs = λrest * (1 + v/c)
where c is the speed of light.
In this case, we can use the known rest wavelength of the transition (121.6 nm) and the observed wavelength (120.8 nm) to solve for the velocity:
120.8 nm = 121.6 nm * (1 + v/c)
Solving for v, we get:
v = c * (120.8 nm - 121.6 nm) / 121.6 nm = -12.5 * 10^5 m/s
This is the velocity of the star away from the observer.
To find the speed for a star in which this line appears at wavelength 121.1 nm, we can use the same formula:
v = c * (121.1 nm - 121.6 nm) / 121.6 nm = -2.5 * 10^5 m/s
To find the speed for a star in which this line appears at wavelength 121.8 nm, we can use the same formula:
v = c * (121.8 nm - 121.6 nm) / 121.6 nm = -0.8 * 10^5 m/s
What is the doppler effect?The doppler effect is a physics phenomenon related to the perceived frequency variation of a moving wave relative to an observer.
This effect was studied by the Austrian physicist Christian Doppler (1803-1853) and the discovery was named after him. Hence, the doppler effect.
The doppler effect can be observed in any and all electromagnetic waves, such as light, or mechanical waves, such as sound.
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A 0.0780 kg lemming runs off a
5.36 m high cliff at 4.84 m/s. What
is its potential energy (PE) when it
lands?
The potential energy of the lemming when it lands is 0.9108672 J.
To determine the potential energy (PE) of the lemming when it lands, we need to consider the conservation of energy. The potential energy of an object is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.
Given:
Mass of the lemming (m) = 0.0780 kg
Height of the cliff (h) = 5.36 m
First, let's calculate the potential energy when the lemming is on the cliff. Using the given formula, we have:
PE = mgh
PE = 0.0780 kg * 9.8 m/s² * 5.36 m
PE = 0.413616 J
Next, we need to determine the final kinetic energy of the lemming just before it lands. We can use the equation for kinetic energy (KE) given by KE = (1/2)mv², where v is the velocity of the lemming.
Given:
Velocity of the lemming (v) = 4.84 m/s
Calculating the kinetic energy, we have:
KE = (1/2) * 0.0780 kg * (4.84 m/s)²
KE = 0.9108672 J
According to the conservation of energy, the potential energy at the top of the cliff is equal to the kinetic energy just before landing.
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Physical quantities are generally not purely numerical: They have a particular dimension or combination of dimensions associated with them. Thus, your height is not 74, but rather 74 inches, often expressed as 6 feet 2 inches. Although feet and inches are different units they have the same dimension--length.
Required:
a. Find the dimensions [V] of volume.
b. Find the dimensions [v] of speed.
Answer:
a, The dimension of volume is L³
b. The dimension of speed = L/T
Explanation:
The three fundamental quantities are Mass, Length and time. Other physical quantities are obtained from or derived from these three. These other quantities are known as derived quantities. The units of the fundamental quantities are Kilogram (kg) for Mass, meters for length, and second for time.
In the given question:
a. Volume = length * breadth * height
since breadth and height all measure length, the dimension of volume becomes:
volume = length * length * length = L³
Thus, the dimension of volume is L³
b. Speed, v = distance/time
Distance measures length, therefore, the dimension of speed will be:
Speed = length / time = L/T
Therefore, the dimension of speed = L/T
HELP ASAP!
Everything on screenshot.
Answer:
I believe the answer is sea floor spreading
e =1.60×10−19C
me=9.11×10−31kg
k=8.99×109N⋅m2/C2
A point charge q = -0.55 nC is fixed at the origin. Where must an electron be placed in order for the electric force acting on it to be exactly opposite to its weight? (Let the y axis be vertical with the positive direction pointing up.)
Answer:
3.33×10^-5 meters above the origin along the positive y-axis
Explanation:
The weight of an object is given by its mass multiplied by the acceleration due to gravity, which is 9.81 m/s² near the surface of the earth. For an electron with mass me, its weight is:
W = me * g
= 9.11×10^-31 kg * 9.81 m/s²
= 8.93×10^-30 N
Since the electric force acting on the electron is opposite to its weight, the electric force must have the same magnitude as its weight but in the opposite direction:
|F_E| = |W| = 8.93×10^-30 N
The electric force between two point charges is given by Coulomb's law:
F_E = k * |q1| * |q2| / r²
where k is the Coulomb constant, q1 and q2 are the charges of the two particles, and r is the distance between them.
In this problem, q1 is the fixed charge of -0.55 nC at the origin, and q2 is the charge of the electron, which we want to find. Since we know the magnitude of the electric force between the two charges, we can solve for the distance between them:
r² = k * |q1| * |q2| / |F_E|
= 8.99×10^9 N⋅m²/C² * 0.55×10^-9 C * |q2| / (8.93×10^-30 N)
= 6.95×10^6 * |q2|
Taking the square root of both sides, we get:
r = 2.64×10^-3 * sqrt(|q2|)
Now, we need to find the distance r at which the electric force between the two charges is equal in magnitude but opposite in direction to the weight of the electron. Equating the expression for r above with the distance y along the y-axis where the electron is placed, we get:
2.64×10^-3 * sqrt(|q2|) = y
Since the electron is placed on the y-axis, its x and z coordinates are zero, and the distance between the electron and the fixed charge is simply the y-coordinate. The electric force between the charges will be attractive (i.e., in the negative y direction), so the direction of the force vector will be opposite to the positive y direction. Therefore, we can write the electric force on the electron as:
F_E = - k * |q1| * |q2| / y²
Setting this equal to the weight of the electron, we have:
k * |q1| * |q2| / y² = |W|
|q2| = |W| * y² / (k * |q1|)
= 8.93×10^-30 N * y² / (8.99×10^9 N⋅m²/C² * 0.55×10^-9 C)
= 1.56×10^-20 * y²
Substituting this expression for |q2| into the expression for r above, we get:
r = 2.64×10^-3 * sqrt(1.56×10^-20 * y²)
= 1.35×10^-11 * y
Equating this expression for r with the expression for y above, we have:
2.64×10^-3 * sqrt(1.56×10^-20 * y²) = y
Squaring both sides and simplifying, we get:
y = 3.33×10^-5 m
Therefore, the electron must be placed at a distance of 3.33×10^-5 meters above the origin, along the positive y-axis, in order for the electric force acting on it to be exactly opposite to its weight.
To summarize, we used Coulomb's law to relate the electric force between the electron and the fixed charge at the origin to the distance between them, and equated this force with the weight of the electron. We then solved for the distance at which the two forces are equal in magnitude but opposite in direction, and found that the electron must be placed 3.33×10^-5 meters above the origin along the positive y-axis.
Hope this helps!