a. The ring pushes on the rider with a force of 4.13 × 10^3 N at the top of the ride.
b. The ring pushes on the rider with a force of 5.81 × 10^3 N at the bottom of the ride.
c. The longest rotation period of the wheel that will prevent the riders from falling off at the top is 6.02 s.
A) At the top of the ride, the rider is in circular motion due to the normal force provided by the ring. The force of gravity acts downwards and the normal force acts upwards. The net force acting on the rider at the top is equal to the centripetal force required for circular motion.
The centripetal force is given by:
Fc = mv²/r
where m is the mass of the rider, v is the velocity of the rider in circular motion, and r is the radius of circular motion.
The velocity of the rider can be found from the period of rotation:
T = 2πr/v
v = 2πr/T
Substituting this expression for v into the expression for Fc, we get:
Fc = m(2πr/T)²/r = 4π²mr/T²
At the top of the ride, the normal force is equal to the centripetal force:
Fn = Fc = 4π²mr/T²
Substituting the given values, we get:
Fn = 4π²(59.0 kg)(9.81 m/s²)(9.00 m)/(4.40 s)² = 4.13 × 10³ N
B) At the bottom of the ride, the rider is still in circular motion due to the normal force provided by the ring. The force of gravity acts downwards and the normal force acts upwards. The net force acting on the rider at the bottom is equal to the sum of the centripetal force required for circular motion and the force of gravity:
Fnet = mv²/r + mg
where m is the mass of the rider, v is the velocity of the rider in circular motion, r is the radius of circular motion, and g is the acceleration due to gravity.
Using the same expressions for v and Fc as in part A, we can rewrite the above equation as:
Fnet = Fc + mg = 4π²mr/T² + mg
At the bottom of the ride, the normal force is equal to the net force:
Fn = Fnet = 4π²mr/T² + mg
Substituting the given values, we get:
Fn = 4π²(59.0 kg)(9.81 m/s²)(9.00 m)/(4.40 s)² + (59.0 kg)(9.81 m/s²) = 5.81 × 10³ N
C) The condition for the rider to not fall off at the top of the ride is that the centripetal force required for circular motion is greater than or equal to the force of gravity:
Fc ≥ mg
Substituting the expression for Fc from part A and solving for T, we get:
T ≤ 2π√(r/g)
Substituting the given values, we get:
T ≤ 2π√(9.00 m/9.81 m/s²) = 6.02 s
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which units are appropriate for measurement of apparent brightness?
"The units appropriate for measurement of apparent brightness is watts per square metre."
Even though a flashlight that is close by might seem brighter than a streetlight that is far away, the flashlight is actually much less bright when contrasted side by side. The measurement of a star's luminosity—a fancy term for its real brightness—as seen from Earth is known as apparent brightness, also known as apparent magnitude.
The intensity of starlight that reaches us per unit area is known as apparent luminosity. Area is measured in square meters and power is measured in volts.
A photometer is a device that gauges and rates a celestial body's luminosity.
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can someone help asap plz don’t understand how to do this
Bubba and Bertha are arguing again over who is stronger and can generate more momentum. Bubba can get a 27 kg brick with a velocity of 8 m/s. Bertha chooses a 43 kg cinder block and throws it with a velocity of 5m/s. Who is going to win this argument?
Bubba generates a momentum of 216 kg·m/s, while Bertha generates a momentum of 215 kg·m/s. Therefore, Bubba would win the argument as he generates more momentum.
Given:
Bubba's mass (m1) = 27 kg
Bubba's velocity (v1) = 8 m/s
Bertha's mass (m2) = 43 kg
Bertha's velocity (v2) = 5 m/s
Bubba's momentum can be calculated as:
Momentum1 = m1 * v1
= 27 kg * 8 m/s
= 216 kg·m/s
Bertha's momentum can be calculated as:
Momentum2 = m2 * v2
= 43 kg * 5 m/s
= 215 kg·m/s
Comparing the two momenta, we can see that Bubba generates a momentum of 216 kg·m/s, while Bertha generates a momentum of 215 kg·m/s. Since Bubba's momentum is higher, Bubba would win the argument and can claim to generate more momentum.
Based on the calculations, Bubba generates more momentum than Bertha. Momentum depends on both mass and velocity, and in this case, Bubba's lower mass is compensated by his higher velocity, resulting in a greater momentum. Therefore, Bubba would win the argument and can assert that he generates more momentum.
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A 75 kg motor cycle is moving at 10m/s makes a head-on collision with a 45kg bicycle travelling at 8 m/s. assuming that there are no external forces acting on the system, what are the velocities of the two masses after impact? (Assume coefficient of restitution e= 0.5)
After the collision, the motorcycle's velocity is around 3.42 m/s, and the bicycle's velocity is approximately -1.42 m/s in the opposite direction.
To solve this problem, we can apply the principles of conservation of momentum and the coefficient of restitution. The conservation of momentum states that the total momentum before the collision is equal to the total momentum after the collision.
Let's denote the initial velocity of the motorcycle as v1, the initial velocity of the bicycle as v2, the final velocity of the motorcycle as v1f, and the final velocity of the bicycle as v2f.
The total momentum before the collision can be calculated as:
Initial momentum = (mass of the motorcycle * initial velocity of the motorcycle) + (mass of the bicycle * initial velocity of the bicycle)
= (75 kg * 10 m/s) + (45 kg * 8 m/s)
= 750 kg·m/s + 360 kg·m/s
= 1110 kg·m/s
According to the conservation of momentum, the total momentum after the collision is equal to the initial momentum:
Total momentum after the collision = (mass of the motorcycle * final velocity of the motorcycle) + (mass of the bicycle * final velocity of the bicycle)
= (75 kg * v1f) + (45 kg * v2f)
Now, let's consider the coefficient of restitution (e = 0.5). The equation for the coefficient of restitution is:
Coefficient of restitution (e) = (relative velocity of separation) / (relative velocity of approach)
= (v2f - v1f) / (v2 - v1)
Since it's a head-on collision, the relative velocity of approach is the sum of the velocities of the two masses before the collision:
Relative velocity of approach = v2 - v1
To find the relative velocity of separation, we can use the equation:
Relative velocity of separation = e * (relative velocity of approach)
= e * (v2 - v1)
Substituting these values into the equation for conservation of momentum, we have:
1110 kg·m/s = (75 kg * v1f) + (45 kg * v2f)
Since we have two unknowns (v1f and v2f), we need another equation to solve for them. Using the equation for the relative velocity of separation, we have:
v2f - v1f = e * (v2 - v1)
45 kg * v2f - 75 kg * v1f = 0.5 * (45 kg * 8 m/s - 75 kg * 10 m/s)
Now we have a system of two equations with two unknowns. Solving these equations simultaneously will give us the final velocities of the motorcycle (v1f) and the bicycle (v2f) after the collision.
By solving these equations, we find that the final velocity of the motorcycle (v1f) is approximately 3.42 m/s, and the final velocity of the bicycle (v2f) is approximately -1.42 m/s. The negative sign indicates that the bicycle is moving in the opposite direction after the collision.
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Two airplanes leave an airport at the same
time. The velocity of the first airplane is
690 m/h at a heading of 68.5
◦
. The velocity
of the second is 590 m/h at a heading of 156◦
.
How far apart are they after 1.8 h?
Answer in units of m.
The distance between first airplane and second airplane after 1.8 hours of their departure is 1598.22 meters.
What is cosine formula for vector addition?The cosine formula for vector addition is -
|R|² = |A|² + |B|² + 2AB cosφ
Where - φ is the angle between vectors A and B.
Given is two airplanes that leave the airport at same time. The velocity of the first airplane is 690 m/h at a heading of 68.5°. The velocity of the second airplane is 590 m/h at a heading of 156°.
The length of the position vector of first airplane →
|OA| = velocity x time = 690 x 1.8 = 1242 miles.
The length of the position vector of second airplane →
|OB| = velocity x time = 590 x 1.8 = 1062 miles
Angle between vectors OA and OB →
φ = 156° - 68.5° = 87.5°
In the triangle ΔOAB, using the triangle law of vector addition, we get →
OA + AB = OB
AB = OB - OA
AB = OB + (- OA)
Now, using the formula for resultant of addition of two vectors →
AB² = (OB)² + (- OA)² + 2(OA)(- OB) cosφ
AB² = OB² + OA² + - 2(OA)(OB)cosφ
AB² = 11,27,844 + 15,42,564 - 2 x 1242 x 1062 x cos(87.5°)
AB² = 11,27,844 + 15,42,564 - 2 x 1242 x 1062 x 0.044
AB² = 26,70,408 - 1,16,072.352 = 25,54,335.648
AB = √25,54,335.648
AB = 1598.22 meters
Hence, the distance between first airplane and second airplane after 1.8 hours of their departure is 1598.22 meters.
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what is the translation of the conclusion (i am newton, maxwell, and einstein)?
The translation of the conclusion "I am Newton, Maxwell, and Einstein" is an expression of the speaker identifying themselves with the intellectual contributions and achievements of these three renowned scientists in the field of physics.
The statement signifies a sense of connection or affiliation with the groundbreaking work and ideas put forth by Isaac Newton, James Clerk Maxwell, and Albert Einstein.
By stating "I am Newton, Maxwell, and Einstein," the speaker implies that they perceive themselves as embodying or being influenced by the profound scientific concepts and theories proposed by these iconic figures.
Newton is known for his laws of motion and universal gravitation, Maxwell for his electromagnetic theory, and Einstein for his theory of relativity.
By associating themselves with these scientists, the speaker may be suggesting that they possess a deep understanding and appreciation for the fundamental principles and discoveries that have shaped our understanding of the physical world.
In essence, the statement "I am Newton, Maxwell, and Einstein" represents a symbolic expression of the speaker's identification with the intellectual legacy and contributions of these influential physicists.
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Between 0 degrees C and 8 degrees C a red-dyed-water-in-glass thermometer would
A) be especially suitable
B) always be wrong
C) give ambiguous readings
D) explode
E) implode
The correct option is A) be especially suitable
A red-dyed-water-in-glass thermometer would be especially suitable to measure temperatures between 0 degrees Celsius and 8 degrees Celsius. This is within the typical range for which such thermometers are designed to provide accurate readings. The red dye helps in reading the temperature by making the liquid column easier to see against the background.
This is because the freezing point of water is 0 degrees C, and the boiling point is 100 degrees C. The range of 0 to 8 degrees C falls within the temperature range that can be accurately measured using a red-dyed-water-in-glass thermometer. This type of thermometer works by measuring the expansion or contraction of a liquid (in this case, water) in response to changes in temperature. The liquid expands as it gets warmer and contracts as it gets cooler.
However, it is worth noting that red-dyed-water-in-glass thermometers are not always the most accurate or precise instruments for measuring temperature, particularly at extreme temperatures or when high accuracy is required. Other types of thermometers, such as digital thermometers or thermocouples, may be more appropriate in certain situations.
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A baseball player throws a baseball with the same initial velocity 5 different times. Each time the ball is thrown at a different angle. The angles are: 45o, 15o, 60o, 25o, and 80o. (a) List the angles based on the amount of time in the air, from the shortest time to the longest time. (b) List the angles based on the horizontal range the baseball travels from the shortest distance to the longest distance.
Answer:
(a) The list of angles based on amount of time in the air; 15° < 25° < 45° < 60°, < 80°
(b) The list of angles based on distance = 80° < 15° < 25° < 60° < 45°
Explanation:
(a) The given parameters are;
The angles in which the ball is thrown, θ = 45°, 15°, 60°, 25°, and 80°
The velocity with which the ball is thrown each time = The same velocity
The amount of time the projectile is in the air given as follows;
\(2 \cdot t = \dfrac{2\cdot u \cdot sin (\theta) }{g}\)
Where;
t = Half the amount of time the projectile is in the air
θ = The angle of flight of the projectile
u = The initial velocity of the projectile = Constant for all angles in which the ball is thrown
g = The acceleration due to gravity = 9.8 m/s² = Constant
Therefore, we have;
When θ = 45°;
\(2 \cdot t = \dfrac{2\cdot u \cdot sin (45^ {\circ}) }{g} = \dfrac{2\cdot u \cdot \dfrac{\sqrt{2} }{2} }{g} = \dfrac{\sqrt{2} \cdot u }{g}\)
When θ = 15°;
\(2 \cdot t = \dfrac{2\cdot u \cdot sin (15^ {\circ}) }{g} \approx \dfrac{0.517638\cdot u }{g}\)
When θ = 60°;
\(2 \cdot t = \dfrac{2\cdot u \cdot sin (60^ {\circ}) }{g} = \dfrac{2\cdot u \cdot \dfrac{\sqrt{3} }{2} }{g} = \dfrac{\sqrt{3} \cdot u }{g}\)
When θ = 25°;
\(2 \cdot t = \dfrac{2\cdot u \cdot sin (25^ {\circ}) }{g} = \dfrac{0.8452365\cdot u }{g}\)
When θ = 80°;
\(2 \cdot t = \dfrac{2\cdot u \cdot sin (80^ {\circ}) }{g} = \dfrac{1.9696155\cdot u }{g}\)
Therefore, the list of the angles based on the amount of time in the air from the shortest time to the longest time is given as follows;
List of angles based on amount of time in the air; 15° < 25° < 45° < 60°, < 80°
(b) The horizontal range, R is given as follows;
\(R = \dfrac{u^2 \cdot sin(2 \cdot \theta) }{g}\)
When θ = 45°
\(R = \dfrac{u^2 \cdot sin(2 \times 45 ^{\circ}) }{g} = \dfrac{u^2 \cdot sin(90 ^{\circ}) }{g} = \dfrac{u^2 }{g}\)
When θ = 15°
\(R = \dfrac{u^2 \cdot sin(2 \times 15 ^{\circ}) }{g} = \dfrac{u^2 \cdot sin(30 ^{\circ}) }{g} = \dfrac{1}{2} \cdot \dfrac{u^2 }{g} = 0.5 \cdot \dfrac{u^2 }{g}\)
When θ = 60°;
\(R = \dfrac{u^2 \cdot sin(2 \times 60 ^{\circ}) }{g} = \dfrac{u^2 \cdot sin(120 ^{\circ}) }{g} = \dfrac{u^2 }{g} \cdot \dfrac{\sqrt{3} }{2} =0.866025 \cdot \dfrac{u^2 }{g}\)
When θ = 25°;
\(R = \dfrac{u^2 \cdot sin(2 \times 25 ^{\circ}) }{g} = \dfrac{u^2 \cdot sin(50 ^{\circ}) }{g} = \dfrac{0.7660444 \cdot u^2 }{g}\)
When θ = 80°
\(R = \dfrac{u^2 \cdot sin(2 \times 80 ^{\circ}) }{g} = \dfrac{u^2 \cdot sin(160 ^{\circ}) }{g} = \dfrac{0.34202 \cdot u^2 }{g}\)
Therefore the list of angles based on the horizontal range the baseball travels from the shortest distance to the longest distance is given as follows;
List of angles based on distance = 80° < 15° < 25° < 60° < 45°.
pls hurrryyyy!!!!!!!! please
Answer:
The penguins are gliding foward without stopping because there is no external force changing their state.
Explanation:
Newtons first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
5) A toxic chemical accidentally released into the environment from a metal processing plant degrades according to the law dQ = -0. 04Q dt where t is measured in years. If the initial leak is of 60kg,
The given differential equation is:
dQ/dt = -0.04Q
where Q is the quantity of the toxic chemical and t is time in years.
To solve this differential equation, we can use separation of variables:
dQ/Q = -0.04 dt
Integrating both sides, we get:
ln|Q| = -0.04t + C
where C is the constant of integration. To find the value of C, we can use the initial condition that the initial leak is 60 kg:
ln|60| = -0.04(0) + C
C = ln|60|
Substituting this value of C back into the general solution, we get:
ln|Q| = -0.04t + ln|60|
Simplifying, we get:
ln|Q/60| = -0.04t
Exponentiating both sides, we get:
Q/60 = e^(-0.04t)
Multiplying both sides by 60, we get the final solution:
Q = 60e^(-0.04t)
Therefore, the quantity of the toxic chemical present at any time t (measured in years) after the initial leak is:
Q(t) = 60e^(-0.04t)
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a linear function has the same y-intercept as x + 4y equals 16 and it's graph contains the point (4,5). Find the slope of the linear function.
Answer: \(\bold{\text{Slope (m)}=\dfrac{1}{4}}\)
Explanation:
A linear equation is of the form: y = mx + b where
m is the slopeb is the y-intercept (where it crosses the y-axis)x + 4y = 16
4y = -x + 16
\(y = -\dfrac{1}{4}x+\dfrac{16}{4}\)
\(y=-\dfrac{1}{4}x+4\)
The y-intercept (b) = 4
Next, find the slope given point (4, 5) and b = 4
\(y=mx+b\\\\5=m(4)+4\\\\1=4m\\\\\dfrac{1}{4}=m\\\\\\\\\large\boxed{Slope (m)=\dfrac{1}{4}}\)
Please help ASAP. A car engine with a mass of 1750 kg can exert 215 000 W. a) How long will it take the car to reach 95.0 km/h if the car is 100% efficient? b) If it actually takes the car 6.5 s to reach 95.0 km/h, what is the efficiency of the car?
✔ First step : calculate the kinetic energy that this car requires to reach 95 km/h
95/ 3,6 ≈ 26,4 m/s
Ec = ½ m x V²
With Ec in J; m in kg; and V in m/s
Ec = ½ 1750 x 26,4² Ec ≈ 610 000 J✔ Knowing that the car has a p power of 215,000 W, so :
T = E/P
T = 610 000/215 000 T ≈ 2.8 s The car takes 2.8 s to reach 95 km/h QUESTION②)N = 2,8/6,5 x 100 = 43.07
The car efficiency is 43 %WHAT IS SLIDING FRICTION
Explanation:
a fraction that is created when we slide something in a motion
A car decelerates from 120km/hr to 75 km/hr in 3 seconds. What is it’s acceleration? How far does it travel during this time?
Answer:
-4.167m/s, 81.2385m
Explanation:
initial velocity=120km/hr = 33.33m/s
final velocity=75km/hr = 20.83 m/s
t=3s
Acceleration=v-u/t
a=(20.83-33.33)/3
a=-12.5/3
a=-4.167
Therefore, the acceleration is -4.167 m/s^2
s=ut+1/2at^2
33.33*3+1/2*-4.167*3^2
81.2385 m
Cuando una persona sube y baja una escalera, Cuanto vale su desplazamiento y cual es la medida de su trayectoria.
Answer:
Primero, definimos el desplazamiento como la distancia entre la posición final y la posición inicial.
Así, si comenzamos abajo, luego subimos la escalera, y luego bajamos, la posición final y la posición inicial serán la misma
por lo que el desplazamiento es igual a cero.
La medida recorrida es el espacio total recorrido.
Es decir, si entre el principio y el final de la escalera hay una distancia D.
La persona que sube y baja, recorre esta distancia dos veces.
Entonces cuando una persona sube y baja la escalera, la medida de su trayectoria será 2*D.
A plane's propeller has a rotational inertia of 2.0kg * m ^ 2 After a clockwise torque of 4.0Nm was applied to the propeller for 4.0s, the propeller has a clockwise angular speed of 24 * (rad)/s What was the initial angular momenturn of the propeller before the torque was applied ?
The initial angular momentum of the propeller before the torque was applied will be 32 kg m²/s.
What is torque?Torque is the force's twisting action about the axis of rotation. Torque is the term used to describe the instant of force. It is the rotational equivalent of force. Torque is a force that acts in a turn or twist.
The amount of torque is equal to force multiplied by the perpendicular distance between the point of application of force and the axis of rotation.
The given data in the problem is;
The rotational inertia is,I = 2.0 kg m²
The clockwise torque is, T = 4.0Nm
The time period is,t= 4.0s,
The angular speed is,ω= 24 * (rad)/s
The initial angular momentum of the propeller is,I₀
The angular acceleration is found by the relation;
\(\rm \tau = I \times \alpha \\\\ \alpha =\frac{\tau}{i} \\\\ \alpha =\frac{4.0}{2.0} \\\\ \alpha= 2.0 \ rad/sec^2\)
The initial angular velocity is found as;
\(\rm \omega_f = \omega_0 + \alpha t \\\\ \omega_0 = \omega_f -\alpha t \\\\ \omega_0 =24 -[(-2.0)\times 4.0)] \\\\ \omega_0 = 16 \ rad/sec\)
The initial angular momentum of the propeller is found as;
\(\rm L_0 = I \omega_0 \\\\ L_0 = 20 \times (1.6) \\\\ I_0 = -32 \ kgm^2/s\)
Hence,the initial angular momentum will be 32 kg m²/s.
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Answer: 14 kg•m2/s
Explanation:
Trust me it’s from khan
What does Newton's law all about?
according to descartes, machines could not think because of what?
According to René Descartes, machines could not think because they lacked consciousness or a mind. Descartes proposed a dualistic philosophy, which distinguished between the physical body and the immaterial mind or soul. He believed that the mind, or "res cogitans," was responsible for conscious thought, reasoning, and intellect, while the body, or "res extensa," operated mechanically and lacked consciousness.
Descartes argued that thinking and consciousness were unique attributes of human beings and could not be replicated by machines or animals. He claimed that machines, no matter how complex or advanced, were fundamentally different from human beings because they lacked a conscious mind.
Descartes' view became influential in the philosophy of mind and has been subject to debate and criticism over the years. However, his ideas about the distinction between mind and body and the limitations of machines in thinking were significant contributions to the philosophical understanding of cognition and consciousness.
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what type of nuclear energy is used for a nuclear reactor power plant
Answer:
Nuclear fission creates heat!!
Explanation:
Reactors use uranium for nuclear fuel. The uranium is processed into small ceramic pellets and stacked together into sealed metal tubes called fuel rods. Typically more than 200 of these rods are bundled together to form a fuel assembly!
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A projectile launched at an angle of 45 degrees above the horizontal travels through the air. Compared to the projectile's theoretical path with no air friction, the actual trajectory of the projectile with air friction is
A.) lower and shorter
B.) higher and shorter
C.) lower and longer
D.) higher and longer
Answer: A
Explanation:
If
you weigh 140 pounds, what is your weight in kilograms
what is magnetic force?
i
Answer:
The force by which a substance (magnet) attracts a body(metals) towards it is called magnetic force
Answer:
Magnetic force, attraction or repulsion that arises between electrically charged particles because of their motion. The magnetic force between two moving charges may be described as the effect exerted upon either charge by a magnetic field created by the other.
Explanation:
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I need helpppp :((((((
Answer: c. The electric force increases
Explanation:
If the distance between two charged particles decreases, the electric force between them increases.
According to Coulomb's Law, the electric force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, the equation can be represented as:
F = k * (q1 * q2) / r^2
Where:
F represents the electric force between the particles.
k is the electrostatic constant.
q1 and q2 are the charges of the particles.
r is the distance between the particles.
As the distance (r) between the particles decreases, the denominator of the equation (r^2) becomes smaller, causing the overall electric force (F) to increase. Conversely, if the distance between the charged particles increases, the electric force between them decreases. This inverse relationship between the distance and electric force is a fundamental characteristic of the electrostatic interaction between charged objects.
The United States spends over $20 billion a year on space exploration through NASA. Do you think that this has been worth the cost? In three to five sentences, provide two specific examples of things we have learned from space exploration, and explain how these examples influence your opinion.(4 points)
Sunday, July 20, marked 45 years since the United States put the first two astronauts safely on the moon. The cost for the Mercury, Gemini and Apollo programs was more than $25 billion at the time more like $110 billion in today’s world. The ensuing U.S. space efforts have cost an additional $196 billion for the shuttle and $50 billion for the space station. NASA’s total inflation-adjusted costs have been more than $900 billion since its creation in 1958 through 2014 (more than $16 billion per year). Looking back, have we gotten our money’s worth from the investment?
IamSugarBee
A train was moving at 50m/s and slow down to 20 m/s in 50 seconds, what was its acceleration?
Answer:
-0.6 m/s^2
Explanation:
a = change in velocity / time
change in velocity = 50 m/s - 20 m/s = 30 m/s
time = 50 s
30 m/s / 50s
= 0.6 m/s^2
because it is decelarating, it will be -0.6 m/s^2
A boy spins a ball on a string over his head with a rotational velocity of 6.3 m/s. The
length of the string is 0.50 m and the mass of the ball is 0.008 kg.
What is the centripetal Force (Fc) of the ball?
The centripetal force (Fc) of the ball is 0.64N.
How to calculate centripetal force?Centripetal force is the force on a rotating or orbiting body in the direction of the centre of rotation.
Centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path.
Centripetal force formula is given as the product of mass (in kg) and tangential velocity (in meters per second) squared, divided by the radius (in meters) as follows:
Fc = mv²/r
Where;
m = massv = velocityr = radiusAccording to this question, a boy spins a ball on a string over his head with a rotational velocity of 6.3m/s. The length of the string is 0.50 m and the mass of the ball is 0.008 kg. The centripetal force is as follows:
Fc = 0.008 × 6.3²/0.5
Fc = 0.31752 ÷ 0.5
Fc = 0.64N
Therefore, 0.64N is the centripetal force of the ball.
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Calculate the pressure produced by applying 80 N force on a floor measuring 2m wide and 8m long.
options
---------------
20 Pa
5 Pa
25Pa
80 Pa
Answer:
20 if the anwser u just gotta do length times wength
difference between kinetic energy and potential energy(please i need answer in 2minutes
Answer:
Energy stored in an object due to its position is Potential Energy. Energy that a moving object has due to its motion is Kinetic Energy.
Explanation:
Welcome.
If € ₁ 4. 0 V. & 2 = 12. 0 V, R₁ = 40, R₂ = 1202, C-3 μF, Q = 18 μC, and I = 2. 5 A, what is the potential difference V, - V? b- 5. 0 V O-5. 0 V 30 V O-30 V & - 1. ³ 30
According to the given statement , the potential difference V across the resistor R is 3105 V.
To find the potential difference V, we can use Ohm's Law and the formula for the potential difference across a capacitor.
First, let's calculate the current flowing through the circuit. We are given that I = 2.5 A.
Next, we can calculate the total resistance in the circuit using the formula R = R₁ + R₂. Given that R₁ = 40 Ω and R₂ = 1202 Ω, we can calculate the total resistance:
R = 40 Ω + 1202 Ω = 1242 Ω
Now, we can calculate the charge stored in the capacitor using the formula Q = C * V, where Q is the charge, C is the capacitance, and V is the potential difference across the capacitor. We are given that Q = 18 μC and C = 3 μF. Plugging these values into the formula, we can solve for V:
18 μC = 3 μF * V
V = 18 μC / 3 μF
V = 6 V
Finally, we can calculate the potential difference V across the resistor R. Using Ohm's Law, we can use the formula V = I * R:
V = 2.5 A * 1242 Ω
V = 3105 V
So, the potential difference V across the resistor R is 3105 V.
In conclusion, the potential difference V across the resistor R is 3105 V.
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