The speed of the lighter fragment (v) is 25 times the speed of the heavier fragment (V).
To solve this problem, we'll use the following terms: initial momentum, final momentum, mass, and velocity.
Step 1: Understand the problem
The rocket initially at rest explodes into two fragments, one 25 times heavier than the other. Since the rocket is initially at rest, the initial momentum is zero.
Step 2: Apply the conservation of momentum principle
The principle of conservation of momentum states that the total momentum before the explosion (initial momentum) must equal the total momentum after the explosion (final momentum).
Initial momentum = Final momentum
Step 3: Set up the equation
Let the mass of the lighter fragment be m, and the mass of the heavier fragment be 25m. The velocity of the lighter fragment after the explosion is v (which we want to find), and the velocity of the heavier fragment is V.
Initial momentum = 0 (since the rocket is initially at rest)
Final momentum = m * v + 25m * (-V)
Step 4: Solve for the lighter fragment's velocity, v
Since the initial momentum and final momentum are equal, we can set up the following equation:
0 = m * v + 25m * (-V)
We can divide both sides of the equation by m:
0 = v - 25V
Now, we need to find v in terms of V:
v = 25V
The speed of the lighter fragment (v) is 25 times the speed of the heavier fragment (V).
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please help me with this
Answer:
>400N is needed to balance that lever
9. A constant velocity means acceleration is
(a.) positive
(b.) negative
(c.) increasing
(d.) zero
Answer:
d. zero
Explanation:
Constant velocity means the acceleration is zero. In this case the velocity does not change,
hope this helps you
have a good day :)
Becky hypothesizes that the speed 1 point of sound in water is affected by temperature. Here are her measurements.
Which is the best improvement Becky could make to this experiment to test her hypothesis? Becky hypothesizes that the speed of sound in water is affected by temperature. Here are her measurements.
Which is the best improvement Becky could make to this experiment to test her hypothesis?
The best improvement Becky could make to this experiment to test her hypothesis is to take more sample measurements to get a more accurate speed at each temperature, therefore the correct answer is option C.
What is science?Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.
A method of learning about the world is science.
Option C is the correct response because adding more sample measurements to acquire a more precise speed at each temperature is the greatest way Becky could improve this experiment to test her theory.
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can anyone help me with this
Answer:
earth is 4.54 billion years old
for an organism to survive they would have to change ( mutate )
A mutation is any permenant change in dna of a gene or chromosome
some mutations are bad and some can be good
Explanation:
Normally, materials are electrically neutral because there are ____.
more positively charged particles than negatively charged particles
more negatively charged particles than positively charged particles
equal numbers of positively charged particles and neutrally charged particles
equal numbers of positively charged particles and negatively charged particles
Normally, materials are electrically neutral because there are equal numbers of positively charged particles and negatively charged particles, hence option D is correct.
What is an electrically neutral particle?Since there are exactly as many electrons in an atom as there are protons, the positive and negative charges "balance out," leaving atoms electrically neutral.
Neutrons are found in the nuclei of all atoms, with the exception of the majority of hydrogen atoms. Neutrons are electrically neutral, as opposed to electrically charged protons and electrons.
Therefore, due to having an equal number of positively charged particles and negatively charged particles materials are electrically neutral.
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A ball rolls 10 meters in 5 seconds. What is its speed?
Answer:
2m/s
Explanation:
10m / 5 s
Simplify and divide.
2 m / 1 s
Answer:
The speed would be 2
Explanation:
What species are dragonflies most closely related to? how do you know?
worm
spider
carpenter
house fly
Dragonflies are most closely related to carpenter flies. They are known as flies of the family Odonata, which means "toothed ones."
Odonates are divided into two main groups: dragonflies (Anisoptera) and damselflies (Zygoptera). Dragonflies are characterized by their large wingspans, strong flight muscles, and toothed jaws.
Dragonflies and carpenter flies are the two members of the Odonata family that share a common ancestry. Carpenter flies belong to the family Xylophagidae, which is part of the larger order of true flies, Diptera. They are mostly seen as long-legged, hairy flies with long snouts. Carpenter flies are harmless to humans and feed on nectar, whereas dragonflies are predators that feed on other insects. Their jaws are designed to tear and shred their prey apart. They are able to fly at high speeds and manoeuvre with agility to catch their prey. This ability to fly is due to their powerful flight muscles, which occupy up to 90% of their body weight. They are known for their swift and graceful movements, which make them a fascinating species to study.
In conclusion, dragonflies are most closely related to carpenter flies. This is based on the fact that both species belong to the Odonata family. Carpenter flies are characterized by their long legs and snouts, while dragonflies are characterized by their large wingspans, toothed jaws, and predatory behavior. Dragonflies are known for their incredible agility, speed, and grace, and they are an important part of the ecosystem as predators of other insects.
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a 60 kg runner accelerates during a race at 3m/s2. what force is exerted on the earth with each step
Answer:
180 Newton(N)
Explanation:
force =mass *acceleration
=60 * 3
=180 kgm/s^2
=180 N
A capacitor is a simple electrical device. It consists of three parts sandwiched tightly together. Two outer layers made of conductors are separated by an insulating middle layer. A simple circuit is made with a capacitor, a wire, and a battery. When fully connected, which of the following occurs?
1. The insulator stops the flow of electricity.
2. One plate becomes positively charged.
3. The net charge on the capacitor remains at zero.
Answers
I only
II only
I, II, and III
I and II only
A substance that prevents free flow of electrical current is known as an electrical insulator. The electrons in the insulator's atoms are securely bonded and immobile.
Which plate is electrically positive?Protons are in overabundance on an aluminium plate that is positively charged. A positively charged aluminium plate has a deficiency of electrons when viewed from the perspective of electrons. We might characterise each extra proton as being somewhat dissatisfied in terms of people.
How could a plate get charged up positively?The other plate develops an imposed positive charge as a result of the electron's electric field, which pulls on the electrons that are in that plate and repels other electrons.
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can someone help me and give me the right answer
Answer:
C. sedimentary
Explanation:
Answer:
Sedimentary
Explanation:
Igneous rock- A rock that's formed through the cooling and solidification of magma or lava.
Metamorphic rock- A rock that starts out as another rock and often has a striped appearance.
Volcanic rock- A rock that's formed from lava that erupted from a volcano.
Sedimentary is the only right answer. A Sedimentary rock is a rock thats made from the deposition of lots of pieces of eroded rock particles.
A spring with a constant k=400n/m shoots a 1.00kg ball up a frictionless incline after being compressed 0.150m. What is the maximum height reached by the ball?
the maximum height reached by ball is 0.45m.
how to calculate the maximum height ?Given :-
spring constant ( k ) = 400N/m
mass of ball = 1kg
spring compressed ( x )= 0.150m
we calculate height by using mechanical energy conservation According to the principle of conservation of mechanical energy, The total mechanical energy of a system is conserved .
Mechanical energy is the sum of the potential and kinetic energies in a system :-
K₀ + U₀ = K + U (eq 1)
where,
K₀ = initial kinetic energy = 0
U₀ = initial potential energy = \(\frac{1}{2} kx^{2}\)
K = final kinetic energy when it reaches at its max height =0
U = final potential energy when it reaches at its max height =mgh
The elastic potential energy is = \(\frac{1}{2} kx^{2}\)
= 0.5 × 400 × 0.15 × 0.15
= 4.5 J.
putting value in eq 1 :-
0 + 4.5 = 0 + mgh
4.5 = 10h
h=0.45m
Thus from the above conclusion we can say that the maximum height reached by the ball is 0.45m.
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a boy sleading down a hill accelerates
alt 1.40m/s? If he started from rest, in what
In what distance would he reach a speed.
of 7s?
Answer:
9.8
Explanation:
distance=vt
1.40*7=distance
What happens to light when it travels from air into water?
The technology in the picture produces which energy conversion?
O A. Chemical energy to kinetic energy
O B. Light energy to electrical energy
O C. Kinetic energy to electrical energy
O D. Thermal energy to kinetic energy
Answer:
the question is not correct
Weight of wood is 20N block is 10 cm long 5 cm wide and 2cm high
Answer:
Four objects are situated along the y axis as follows: a 2.00 kg object is at +3.00 m, a 3.00-kg
object is at +2.50 m, a 2.50-kg object is at the origin, and a 4.00-kg object is at -0.500 m.
Where is the center of mass of these objects
thank you!
A particle moves in a straight line and has velocity given by \( v(t)=5 t^{2}-8 t+4 \mathrm{~m} / \mathrm{s} \). Its initial displacement is \( s(0)=1 \mathrm{~m} \). Find its position function \( s(t
The position function of a particle moving in a straight line with velocity\(\(v(t) = 5t^2 - 8t + 4 \\),\(\mathrm{m/s}\)\)and initial displacement \(\(s(0) = 1 \\),\(\mathrm{m}\)\) is\(\(s(t) = \frac{5}{3}t^3 - 4t^2 + 4t + 1\).\)
Find the position function \(\(s(t)\)\), we need to integrate the velocity function\(\(v(t)\)\) with respect to time. Since the velocity is the derivative of the position function, integrating the velocity will give us the position.
\(\(v(t) = 5t^2 - 8t + 4 \, \mathrm{m/s}\)\)
\(\(s(0) = 1 \, \mathrm{m}\)\)
Find \(\(s(t)\),\) we integrate\(\(v(t)\)\) with respect to \(\(t\)\):
\(\(\int v(t) \, dt = \int (5t^2 - 8t + 4) \, dt\)\)
Integrating term by term:
\(\(\int 5t^2 \, dt - \int 8t \, dt + \int 4 \, dt\)\)
Integrating each term:
\(\(\frac{5}{3}t^3 - 4t^2 + 4t + C\)\)
Where C is the constant of integration.
Now, to determine the constant of integration, we can use the initial displacement\(\(s(0) = 1 \, \mathrm{m}\).\) Plugging in\(\(t = 0\)\)into the position function:
\(\(s(0) = \frac{5}{3}(0)^3 - 4(0)^2 + 4(0) + C\)\)
\(\(1 = 0 + 0 + 0 + C\)\(C = 1\)\)
Therefore, the position function\(\(s(t)\)\) is:
\(\(s(t) = \frac{5}{3}t^3 - 4t^2 + 4t + 1\)\)
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Describe the general distribution of heat on the earth if it were a cylinder rotating vertically on its axis; include sides, top& bottom. (Hint: general temperatures means hot, warm, cold.)
If the Earth were modelled as a spinning vertical cylinder, the temperature distribution would show a pattern of lowering temperatures from the sides (equator) to the top and bottom (poles).
If the Earth were modeled as a vertical cylinder rotating on its axis, we can expect a general distribution of heat that varies with different regions of the cylinder, including the sides, top, and bottom. Here's a description of the possible temperature distribution:
Sides of the Cylinder:The sides of the cylinder, representing the Earth's equatorial regions, would generally experience higher temperatures due to their proximity to the Sun. These regions would be characterized by hot or warm temperatures, as they receive more direct sunlight and experience longer durations of daylight.
Top of the Cylinder:The top region of the cylinder, corresponding to the Earth's North Pole or South Pole, would experience cold temperatures. These areas receive oblique sunlight, leading to lower solar radiation and shorter daylight periods. As a result, the temperatures would generally be cold, with icy conditions prevailing.
Bottom of the Cylinder:The bottom region of the cylinder, corresponding to the opposite pole from the top, would exhibit similar characteristics to the top region. It would also experience cold temperatures due to the oblique sunlight and shorter daylight periods.
Overall, the temperature distribution on the Earth modeled as a rotating vertical cylinder would follow a pattern of decreasing temperatures from the sides (equator) to the top and bottom (poles).
This distribution is influenced by the varying angles at which sunlight reaches different latitudes, leading to variations in solar radiation and daylight duration.
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A stationary block of mass 35 Kg is suspended on a string.What is the tension in the string ?( Neglect the mass of the string)
Answer:
Tstring = 343.35 [N]
Explanation:
Since the block is in equilibrium, we can say that the sum of the forces on the Y-axis or vertical is equal to zero.
∑Fy = 0
\(T_{string}-W=0\)
where:
Tstring = tension of the string [N]
W = weight of the block [N]
And the weight can be calculated multiplying the mass of the block by the gravity acceleration.
Now replacing:
\(T_{string}=m*g\\T_{string}=35*9.81\\T_{string}=343.35[N]\)
From the moment a 40 m/s fastball touches the catcher’s mitt until it is completely stopped takes 0.012 s. Calculate the average acceleration of the ball as it is being caught.
Answer:
3333.33 m/s²
Explanation:
From the question given above, the following data were obtained:
Total Velocity (v) = 40 m/s
Total Time (t) = 0.012 s.
Average acceleration (a) =..?
Average acceleration can be defined as follow:
Average acceleration (a) = Total velocity (v) / total time (t)
a = v / t
With the above formula, we can obtain the average acceleration of the ball as shown below:
Total Velocity (v) = 40 m/s
Total Time (t) = 0.012 s.
Average acceleration (a) =..?
a = v / t
a = 40 / 0.012
a = 3333.33 m/s²
Therefore, the average acceleration of the ball is 3333.33 m/s².
5. Chad wants to investigate whether adding a solute to water affects its boiling point and freezing point. He set up an experiment and recorded the boiling and freezing point in degrees Celsius (°C), his results are in the data table.
EFFECT OF SOLUTE ON BOILING AND FREEZING POINTS
Test
A.Water
B.Water + 10 grams of salt
C.Water + 20 grams of salt
D.Water +30 grams of salt
E.Water + 40 grams of salt
Boiling Point (°C)
A.100.0
B.100.5
C.101.0
D.101.5
E.102.0
Freezing Point (°C)
A.0
B.-2
C.-4
D.-6
E.-8
Based on the data, which statement would be the best conclusion?
A. Adding salt to water decreases the boiling point.
B. Adding any solute to water increases the boiling point.
C. Adding salt to water increases the boiling point and decreases the freezing point.
D. Adding any solute to water increases the boiling point and decreases the freezing point.
Answer:
Explanation:
C. Adding salt to water increases the boiling point and decreases the freezing point.
Stars begin burning helium to carbon when the temperature rises in the core. This temperature increase is caused by.
When the core temperature rises, stars start burning helium to carbon. This rise in temperature is brought on by. creating helium by fusing hydrogen in a shell.
What occurs when a star begins to burn helium?When carbon and helium are combined, oxygen is created. Helium burns to create carbon. The star's surface temperature rises as it develops into a horizontal branch star as its core becomes rich in carbon and oxygen nuclei. When their brilliance remains constant, stars with masses larger than or equal to the Sun shrink and get hotter.
What changes as the core temperature of a star rises?When it becomes heated enough, hydrogen in a shell outside the core can begin to fuse. The exterior is expanding.
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26. A weight of 20N stretches a spring by 0.5cm. Calculate the
extension when the applied weight is 60N.
A. 0.25cm
B.1.5cm C. 2.0cm D. 4.0cm
Answer:
26 a weight of 2on stretcges
What is the focal length od a makeup mirror that has a power of 2.48d?
To determine the focal length of a makeup mirror with a power of 2.48d, we can use the formula: Power = 1 / focal length. Where power is measured in diopters (d) and focal length is measured in meters (m).
So, we can rearrange the formula to solve for focal length:
focal length = 1 / power
Plugging in the given power of 2.48d, we get:
focal length = 1 / 2.48d
To convert diopters to meters, we use the conversion factor of 1/m = 1/d.
So, we can simplify:
focal length = 1 / 2.48d * 1/m
focal length = 0.4032 m
Therefore, the focal length of the makeup mirror is approximately 0.4032 meters.
To find the focal length of a makeup mirror with a power of 2.48 diopters, you'll need to use the formula:
Focal Length (in meters) = 1 / Power (in diopters)
In this case, the power of the makeup mirror is 2.48 diopters. So, to find the focal length, you can follow these steps:
Step 1: Identify the power given in the question, which is 2.48 diopters.
Step 2: Use the formula Focal Length = 1 / Power.
Step 3: Plug the power value into the formula: Focal Length = 1 / 2.48.
After calculating, the focal length of the makeup mirror is approximately 0.403 meters or 40.3 centimeters.
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the propeller of a world war ii fighter plane is 3.25 m in diameter. a. what is its angular velocity in radians per second if it spins at 1200 rev/min?
The angular velocity of the propeller in radians per second is 125.66 rad/s.
To convert revolutions per minute to radians per second, we need to multiply by 2π/60. Therefore:
Angular velocity = (1200 rev/min) x (2π/60) = 125.66 rad/s
So the angular velocity of the propeller is 125.66 rad/s.
The angular velocity is a measure of the rate of rotation of an object. In this case, the propeller is rotating at a high speed of 1200 revolutions per minute, which corresponds to an angular velocity of 125.66 rad/s. This high angular velocity is necessary to provide the necessary thrust for the fighter plane to fly at high speeds and perform various maneuvers.
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You launch a model rocket that has a mass of 1.5 kg.At a height of 300m,it is traveling at 125 m/s.what is the kinetic energy at this point
Answer:
zero
Explanation:
Because if the object is not in motion then it only posseses potential energy not kinetic energy
A stone is dropped into a river from a bridge 40.1 m above the water. Another stone is thrown vertically down 1.14 s after the first is dropped. Both stones strike the water at the same time. What is the initial speed of the second stone
The initial speed of the second stone is approximately 14.3 m/s.
To solve this problem, we can use the equations of motion for uniformly accelerated motion. We'll consider the first stone as the reference point, dropped from rest at an initial height (H) of 40.1 meters. We'll denote the time it takes for the second stone to be thrown vertically down after the first stone is dropped as t.
Using the equation for free fall motion, we can find the time it takes for the first stone to reach the water:
H = 0.5gt²
Substituting the given values, we have:
40.1 = 0.5 * 9.8 * t₁²
80.2 = 9.8t₁²
t₁² = 80.2 / 9.8
t₁ ≈ 4.08 s
Now, we know that the second stone is thrown 1.14 seconds after the first stone is dropped, so the time it takes for the second stone to reach the water is:
t₂ = t₁ - 1.14
t₂ ≈ 4.08 - 1.14
t₂ ≈ 2.94 s
Using the equation for uniformly accelerated motion, we can find the initial speed (v) of the second stone:
H = v₀t + 0.5gt²
Substituting the given values and solving for v₀, we get:
0 = v₀ * 2.94 + 0.5 * 9.8 * (2.94)²
v₀ = -0.5 * 9.8 * (2.94)² / 2.94
v₀ ≈ -0.5 * 9.8 * 2.94
v₀ ≈ -14.3 m/s
Since the stone is thrown vertically down, the initial speed will be positive.
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Uppoe that a phone i dropped from a light pole 70. 0 meter high. How far will the phone have fallen after 3. 00 econd
The formula for horizontal distance is x = Vx * t, where t is the time. The formula for vertical distance from the ground is y = h + Vy * t - g * t2 / 2, where g is the acceleration of gravity.
What is the free fall equation?
Where g is the acceleration of gravity, vf is equal to g * t. On Earth, the value of g is 9.8 m/s/s. The velocity of the object after being dropped from rest for any given period of time can be calculated using the aforementioned equation.
How is height determined?
At the spot where the ruler, book, or other flat object meets your head, lightly mark the wall with a pencil. Measure the distance from the floor to the mark on the wall using a tape measure, preferably one made of metal that will stay straight.
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how did claudius ptolemaeus account for the retrograde motion of the planets?
Claudius Ptolemaeus account for the retrograde motion of the by atating that planets move on two sets of circles, a deferent and an epicycle
Aristotle's theory of the universe has trouble explaining several planetary occurrences. Planets also change in brightness or dimness as they move through the sky. Neither phenomenon could be satisfactorily explained by the Aristotelian paradigm. The most important answer to this problem was put out by Claudius Ptolemy in the third century AD.
He asserted that the two sets of circles on which planets orbit are a deferent and an epicycle. The elliptical orbits of the planets around the Earth were kept, and this gave an explanation for retrograde velocity. When this failed, Ptolemy offered a peculiar solution.
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A chair of mass 25.0 kg is sitting on the horizontal floor. The floor is not frictionless. You push on the chair with a force F=50.0 N that is directed at an angle of 30
∘
above the horizontal and the chair slides along the floor. Use g=10 m/s
2
. 1. What is the Normal Force from the floor acting on the chair? 2. If the chair just moves with constant velocity, what is the magnitude of the friction acting on the chair?
The normal force exerted by the floor on the chair is equal to the chair's weight, which is 250 N. If the chair moves with constant velocity, the magnitude of the frictional force acting on it is also 50 N.
1. The normal force (N) is the force exerted by a surface perpendicular to the surface. In this case, the chair is on a horizontal floor, so the normal force from the floor acting on the chair is equal to the chair's weight. The weight (W) of an object is given by the mass (m) of the object multiplied by the acceleration due to gravity (g). Therefore, W = mg = 25.0 kg * 10 m/\(s^2\) = 250 N. Hence, the normal force exerted by the floor on the chair is 250 N.
2. When the chair moves with constant velocity, it means the net force acting on the chair is zero. The force you apply on the chair is directed at an angle of 30∘ above the horizontal. To determine the frictional force (f) acting on the chair, we need to resolve the applied force into its horizontal and vertical components. The vertical component does not contribute to the friction force since the chair is not moving vertically. The horizontal component of the applied force is F * cos(30∘) = 50 N * cos(30∘) ≈ 43.3 N. Since the chair is moving with constant velocity, the magnitude of the frictional force acting on it is equal to the horizontal component of the applied force, which is approximately 43.3 N.
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HW Due today would appreciate if you could answer as soon as possible.
1. A man jumps out of an airplane and is accelerating towards the ground. Consider air resistance. Draw the forces acting on the falling man. Write a paragraph explaining your diagram and what is happening to the man.
2. 2. If a cyclist is travelling with a speed of 15 miles per hour. Draw a diagram for the action of the cyclist. Determine the number of meters the cyclist will have travelled in 25 minutes keep track of the units in the solution calculations.
Answer:
Monkey Luffy
HW Due
A man jumping out of an airplane experiences two main forces acting on him: gravity and air resistance. Gravity acts vertically downward, pulling the man towards the ground. Air resistance acts horizontally, in the opposite direction of the man's motion, and its magnitude depends on the man's velocity.
As the man falls, his velocity increases, causing the magnitude of air resistance to increase. At some point, air resistance will equal the force of gravity, and the man will reach terminal velocity, the maximum velocity he can reach while falling. At terminal velocity, the net force on the man is zero, so his acceleration is zero and his velocity remains constant.
The diagram for a cyclist travelling at 15 miles per hour would show the force of propulsion acting forward on the cyclist and the force of friction acting in the opposite direction. Propulsion is the force that drives the cyclist forward, and friction is the force that resists the motion of the wheels on the road.
In 25 minutes, the cyclist would have travelled 15 miles per hour * (25 minutes/60 minutes/hour) = 6.25 miles. To convert this to meters, we can use the conversion factor 1 mile = 1609.34 meters, so 6.25 miles * 1609.34 meters/mile = 10,116.75 meters. The number of meters the cyclist would have travelled in 25 minutes is 10,116.75 meters.