Extension
1. Suppose the collision between the dart and the cart averages to be 0.15 seconds.
a) What is the average impulse delivered in this collision?
b) What average force is delivered by the dart?
c) What is the average acceleration felt by the cart during the collision? (Hint: Newton's 2nd Law)
Answers
The average acceleration felt by the cart during the collision is \(38.89 m/s^2\).
a) The impulse delivered in a collision is given by the change in momentum of the object. Since the dart is initially at rest, the momentum before the collision is zero. Let's assume that the dart has a mass of m, and it is moving at a speed of v just before the collision. The momentum after the collision is given by mv, since the dart is embedded into the cart. Therefore, the change in momentum is mv. Using the definition of impulse as the change in momentum, we get:
Impulse = mv
To find the average impulse, we need to divide this by the time of collision:
Average impulse = mv / t = (0.25 kg)(35 m/s) / 0.15 s = 58.33 Ns
Therefore, the average impulse delivered in the collision is 58.33 Ns.
b) The average force delivered by the dart is given by the impulse divided by the time of collision:
Average force = Impulse / t = 58.33 Ns / 0.15 s = 388.89 N
Therefore, the average force delivered by the dart is 388.89 N.
c) The average acceleration felt by the cart during the collision can be calculated using Newton's 2nd Law, which states that the force on an object is equal to its mass times its acceleration:
F = m * a
We know the average force from part (b) and the mass of the cart is given as 10 kg. Therefore, we can rearrange the above equation to solve for the average acceleration:
a = F / m = 388.89 N / 10 kg = \(38.89 m/s^2\)
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Related Questions
A force of 100N makes an angle of 60° with Y-axis, it's horizontal component is ?
Answers
Answer:
50\(\sqrt{3}\)
Explanation:
As the force makes an angle 60 degree with y axis , the horizontal component (along x axis) will be 100sin(60) = 50\(\sqrt{3}\)
Kinematics:Question 2
We are accelerating whenever we are?
Answers
1. Two charges are separated by a distance of 1 cm. One charge has a value of 7 micro Coulombs. The other charge has a value of 10 micro Coulombs. What is the force between them, in pounds. Make sure to include the sign of the force which will be positive if the charges repel each other and negative if they attract each other.
2. 12 gauge copper wire is normally used in house wiring. When aluminum wire is used one needs to use a smaller gauge size to obtain the same resistance, 40 ft of 12 gauge copper wire was calculated. What would the resistance be if 10 gauge aluminum wire were used?
3. A 12 V automobile battery can supply 51 amps for one hour and cost $194. What is the cost of this electricity in cents per kWh?
4. Most of the body's resistance is in its skin. When wet, salts go into ion form, and the resistance is lowered. Thus, the resistance of the skin can go from 100,000 ohms when dry to 300 ohms when wet. What is the current that would be carried through the body, in milliAmperes, if you touched a 240 V power line while dry? Currents over 10 mA are almost always deadly.
Answers
1. The force between the two charges is 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.
2. The resistance of 10 gauge aluminum wire over a 40 ft distance would be 0.506 ohms.
3. The cost of electricity from the automobile battery is 38.6 cents per kWh.
4. The current that would be carried through the body is 0.8 mA if dry.
1. The force between two point charges can be calculated using Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.
Using the values given, the force can be calculated as F = (k * q1 * q2) / r², where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them. Plugging in the values, the force can be calculated as 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.
2. The resistance of a wire is determined by its length, cross-sectional area, and resistivity. The resistivity of aluminum is higher than that of copper, so a larger cross-sectional area is required to achieve the same resistance. Using the gauge size conversion chart, 10 gauge aluminum wire has a cross-sectional area of 5.26 mm², which is approximately 83% of the cross-sectional area of 12 gauge copper wire.
Thus, the resistance of 10 gauge aluminum wire over a 40 ft distance can be calculated as R = (rho * L) / A, where rho is the resistivity of aluminum, L is the length, and A is the cross-sectional area. Plugging in the values, the resistance can be calculated as 0.506 ohms.
3. To calculate the cost of electricity per kWh, the total cost and the total amount of energy supplied must be known. Since the battery supplies 12 V and 51 A for one hour, the total energy supplied can be calculated as E = V * I * t, where V is the voltage, I is the current, and t is the time.
Plugging in the values, the total energy supplied can be calculated as 612 watt-hours (Wh). Since one kWh is equal to 1000 Wh, the total energy supplied can be converted to 0.612 kWh. Dividing the total cost by the total energy supplied gives the cost per kWh, which is 38.6 cents.
4. The current through the body can be calculated using Ohm's law, which states that current is equal to voltage divided by resistance. Using the values given, the resistance can be either 100,000 ohms or 300 ohms depending on whether the skin is dry or wet.
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a research submarine what is the maximum depth it can go
Answers
Answer: 36, 200 feet deep according to information on google
Explanation:
A small submarine, the bathyscape Trieste, made it to 10,916 meters (35,813 feet) below sea level in the deepest point in the ocean, the Challenger Deep in the Marianas Trench, a few hundred miles east of the Philippines. This part of the ocean is 11,034 m (36,200 ft) deep, so it seems that a submarine can make it as deep as it's theoretically possible to go
The reliability or reproducibility of a measurement is its _____
Answers
The degree of data stability when the measurement is replicated under identical circumstances is known as reproducibility or reliability.
What exactly are repeatability and reproducibility?Reproducibility determines how an entire study an experiment can be replicated, whereas repeatability assesses the variation in data made by a single equipment or human under similar circumstances.
What makes repeatability crucial?Science needs reproducibility because it enables more in-depth investigation, and replication validates our findings. There are several investigations and experiments, which result in a wide range of variables, unforeseen, and things that are either outside your influence or you cannot guarantee.
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A white blood cell has a diameter of approximately 12 micrometers or 0.012 um a model represents its diameter as 24 um what ratio of model size
Answers
Answer:
The ratio of the model size is 1 : 2000
Explanation:
Given
Real Diameter = 0.012 um
Scale Diameter = 24 um
Required
Determine the scale ratio
The scale ratio is calculated as follows;
\(Scale = \frac{Real\ Measurement}{Scale\ Measurement}\)
Substitute values for real and scale measurements
\(Scale = \frac{0.012\ um}{24\ um}\)
Divide the numerator and the denominator by 0012um
\(Scale = \frac{1}{2000}\)
Represent as ratio
\(Scale = 1 : 2000\)
Hence, the ratio of the model size is 1 : 2000
Answer:
Explanation: The Answer Is D Two Thousand & The Number
A boat sails for 24 km pointed in the direction [40° S of WI. A constant current moves the boat 8 km [30° W of N]. If the trip takes 3 hours, find the boats resultant velocity
Please brainliest, really need it!!!
Answers
The resultant velocity of the boat is 7.5 km/h.
What is the resultant displacement of the boat?The resultant displacement of the boat is calculated as follows;
Sum of the vertical displacement of the boat is calculated as;
∑Fy = -24 km sin(50) + 8 km sin(60)
∑Fy = -11.5 km
Sum of the horizontal displacement of the boat is calculated as;
∑Fx = -24 km cos(50) - 8 km cos(60)
∑Fx = -19.4 km
The resultant displacement is calculated as follows;
d = √ (-11.5² + 19.4²)
d = 22.55 km
The resultant velocity of the boat is calculated as follows;
v = ( 22.55 km ) / ( 3 hrs )
v = 7.5 km/h
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) It is necessary to maintain a constant fluid volume in the body. Therefore, the body adjusts the water outputs to be equal to the inputs. So, if an animal consumes 1.0 kg of water in feed and 5.0 kg of drinking water, produces 0.5 kg of metabolic water in the body, and excretes a total of 4.5 kg of water in feces and urine, calculate the amount (kg) of evaporative water losses of this animal (show your work).
Answers
Answer:
Evaporative Water Loss = 2 kg
Explanation:
According to the given condition, the water entering the body must be equal to the water leaving the body. Therefore,
Water Entering the Body = Water Leaving the Body
Feed Water + Drinking Water + Metabolic Water = Urine Water + Evaporative Water Loss
using the given values:
1 kg + 5 kg + 0.5 kg = 4.5 kg + Evaporative Water Loss
Evaporative Water Loss = 1 kg + 5 kg + 0.5 kg - 4.5 kg
Evaporative Water Loss = 2 kg
Did you complete today’s physical activity, as outlined in the Fitness Plan?
Responses
yes
no
(PLEASE 100 POINTS)
Answers
Answer:
yes?
Explanation:
I don’t really understand your question
What does a light-year measure? A. volume B. weight C. circumference D. distance
Answers
Answer:
Distance. A light-year is the distance a single photon of light can travel in empty space in a year.
Answer:
D-Distance
Explanation:
Two positive charge spheres, the spheres are separated by 2.0 m. The charge on the first sphere is 0.003 coulombs and the charge on the second sphere has 5 microcoulombs. Calculate the Electric Force on the charges?
I NEED HELP QUICKKK
Answers
The electric force on the charges is determined as 33.75 N.
What is the electric force between the two spheres?
The electric force between the two spheres is determined by applying Coulomb's law of electrostatic force.
This law states that the electrostatic force between two charged bodies is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges.
F = kq₁q₂/r²
where;
k is the Coulomb's constant, = 9 x 10⁹ Nm²/C²q₁ is the magnitude of the first chargeq₂ is the magnitude of the second charger is the distance between the chargesThe given parameters
the magnitude of the first charge, q₁ = 0.003 C
the magnitude of the second charge, q₂ = 5 x 10⁻⁶ C
the distance between the charges, r = 2 m
Substitute the given parameters and solve for the electric force between the charges.
F = (9 x 10⁹ x 0.003 x 5 x 10⁻⁶) / (2²)
F = 33.75 N
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Explain how surface waves can have characteristics of both longitudinal waves and transverse waves. Please use 3 content related sentences
Answers
Answer: Search Results
Featured snippet from the web
Answer: Surface waves can have characteristics of both longitudinal and transverse waves in the following way; The motion of the surface waves is up and down which is perpendicular to the direction of the wave. This is similar to the motion of transverse waves whereas the the motion of longitudinal.
Explanation:
Surface waves can exhibit characteristics of both longitudinal waves and transverse waves.
Surface waves are a type of mechanical wave that propagate along the interface between two different mediums, such as the ground and air or the surface of water. These waves combine properties of both longitudinal and transverse waves
Similar to longitudinal waves, surface waves involve particles oscillating in the same direction as the wave propagation. This creates compressions and rarefactions, leading to variations in density or pressure. These compressions and rarefactions are characteristic of longitudinal waves.
However, surface waves also exhibit transverse motion. As the wave propagates along the surface, particles move in a perpendicular direction to the wave's motion. This transverse motion causes particles to displace vertically or horizontally, similar to transverse waves.
By combining both longitudinal and transverse characteristics, surface waves possess a complex motion that allows them to travel along the surface while simultaneously causing particles to oscillate both parallel and perpendicular to the direction of wave propagation.
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A group of students were playing basketball together during recess. The temperature outside was 30.5 oC (87 oF) and the sun was out. The students ran, shot baskets, and dribbled the ball for 30 minutes. When they finished their game some of the students made the following comments:
Answers
Our muscles need more oxygen to make energy (in the form of ATP) while we workout.
When the respiratory rate picks up to fulfill this need, more oxygen can enter the body and more carbon dioxide can be exhaled.
Student 3 is breathing more forcefully than usual in this situation because of the high temperature and physical activity.
The respiratory system is the organ system engaged in this process.
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# complete question:
A group of students were playing basketball together during recess. The temperature outside was 30.5 oC (87 oF) and the sun was out. The students ran, shot baskets, and dribbled the ball for 30 minutes. When they finished their game some of the students made the following comments:
Student 1: Wow! I am so hot and sweaty! I need some water to cool down.
Student 2: My cheeks are really red.
Student 3: I am breathing so hard, I can barely catch my breath!
Explain what is happening to the students and how their bodies are trying to maintain homeostasis. Be sure to include any of the organ systems involved with each student.
A student creates a diagram comparing the sizes of objects in the solar system. Which two objects are often similar in size? (1 point) O planets and meteors moons and meteors asteroids and comets comets and planets
Answers
Answer:
Comets and Asteroids are both simular in size. Therefor the answer is .D
Explanation:
If a student creates a diagram comparing the sizes of objects in the solar system. then the two objects that are often similar in size would be comets and planets, therefore the correct answer is option D.
What is a solar system?It is a system that collection of all the planets and spatial bodies revolving around the sun because of the gravitational pull of the sun.
Planets are very large in size while on the other hand meteors are smaller in size as compared to planets.
If a student draws a graphic comparing the dimensions of solar system bodies. Thus comets and planets would be the two things that are frequently comparable in size, making option D the right response.
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why do water use acidified
Answers
Answer:
To create healthy water and more for more H (hydrogen)
Explanation:
what are ionic charges
Answers
Answer:
Ionic charges refer to the electrical charges of ions, which are atoms or molecules that have gained or lost electrons. These charges result from the loss or gain of electrons during chemical reactions.
When an atom loses one or more electrons, it becomes a positively charged ion known as a cation. The cation carries a positive charge equal to the number of electrons lost.
Conversely, when an atom gains one or more electrons, it becomes a negatively charged ion known as an anion. The anion carries a negative charge equal to the number of electrons gained.
The magnitude of the ionic charge depends on the number of electrons gained or lost, which is determined by the element's position in the periodic table and its electron configuration. For example, sodium (Na) loses one electron to become a +1 charged cation (Na+), while chlorine (Cl) gains one electron to become a -1 charged anion (Cl-).
A uniform solid cylindrical flywheel has a mass of 50 kg and a radius of 40 cm. The flywheel begins to rotate faster with an acceleration of 1.5 rad/s2. The kinetic energy of the flywheel after 1 minute of rotation is:
A. 16.2 KJ
B. 180 KJ
C. 40.5 KJ
D. 32.4 KJ
Answers
The kinetic energy of the flywheel after 1 minute of rotation, given that it has a mass of 50 and radius of 40 cm is 32.4 KJ (Option D)
How do I determine the kinetic energy?We'll begin by obtaining the velocity of the flywheel. This is shown below:
Radius (r) = 40 cm = 40 / 100 = 0.4 mAcceleration (a) = 1.5 rad/s² = 1.5 × 0.4 = 0.6 m/s²Time (t) = 1 minute = 1 × 60 = 60 sVelocity (v) = ?v = at
v = 0.6 × 60
v = 36 m/s
Finally, we shall determine the kinetic energy of the flywheel. Details below:
Mass (m) = 50 KgVelocity (v) = 36 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 50 × 36²
KE = 25 × 1296
KE = 32400 J
Divide by 1000 to express in KJ
KE = 32400 / 1000
KE = 32.4 KJ
Thus, the kinetic energy is 32.4 KJ (Option D)
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An electric light bulb has an efficiency of 18%.
400J of energy are supplied to the light bulb by electricity.
a Calculate the amount of energy transferred by light
Answers
Answer:
The answer that we got will be 22.22....
A mass attached to one end of a string is travelling in a circle at constant speed. Which of the following is correct?The object’s velocity is the same as its speed.If the string breaks, the object will keep its circular motion.If the string breaks, the object will move radially away from the center of the circle.The object is accelerating as it moves.The object does not require a force to keep its state of circular motion.
Answers
According to problem-
Here a mass (m) attached with string moving in a circular path with constant speed. Velocity (v) is directing in direction of tangent to the circle at every point. So its direction is changing at every point.
Therefore correct option is :-
The object is accelerating as it moves.
2. What is the cheetah's speed for the first four seconds. She
Answers
Explanation:
Cheetahs can go from 0 to 60 miles per hour in just 3.4 seconds and reach a top speed of 70 miles per hour. While they are the fastest land animal in the world, they can only maintain their speed for only 20 to 30 seconds.
Given the functions f(x)=(1/x-3)+1 and g(x) = (1/1+4)+3
Which statement describes the transformation of the graph of function f onto the graph of function g?
O The graph shifts 2 units right and 7 units down.
O The graph shifts 7 units left and 2 units up.
O
e graph shifts 7 units right and 2 units down.
O The graph shifts 2 units left and 7 units up.
Answers
The statement that describes the transformation of the graph of function f onto the graph of function g is: The graph shifts 2 units right and 7 units down.
To determine the transformation of the graph of function f onto the graph of function g, we compare the two functions f(x) and g(x) and observe the changes in the equations.
The function f(x) = (1/x - 3) + 1 represents a reciprocal function that is shifted vertically 1 unit up and horizontally 3 units to the right. The reciprocal function is reflected about the line y = x.
The function g(x) = (1/(1 + 4)) + 3 simplifies to g(x) = 4 + 3 = 7, which is a constant function representing a horizontal line at y = 7.
By comparing the equations, we can see that the transformation from f(x) to g(x) involves the following changes:
The term 1/x in f(x) is replaced by the constant 1/(1 + 4) in g(x), resulting in a vertical shift of 7 units up.
The term -3 in f(x) is replaced by 3 in g(x), resulting in a vertical shift of 3 units up.
The +1 in f(x) is replaced by +3 in g(x), resulting in an additional vertical shift of 2 units up.
Therefore, the overall transformation is a shift of 2 units to the right and 7 units down.
Hence, the correct statement is: The graph shifts 2 units right and 7 units down.
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What is revolution?
A. The motion of an object along a curved path
B. The spinning of an object on its axis
C. The orbit of a satellite around a central body
D. The motion of two objects around each other
Answers
Answer:
A. the motion of an object along a curved path
A 6-string guitar has strings which are 0.75 m long. What are the wavelengths for the first 5 harmonics?
Answers
The wavelenght of the harmonics in a string of a guitar is given as:
\(\lambda=\frac{2}{n_i}L\)where L is the lenght of the guitar string and ni is the harmonic we like tu calculate, using this formula we have the first 5 harmonics.
\(\begin{gathered} \lambda_1=\frac{2}{1}(0.75)=1.5 \\ \lambda_2=\frac{2}{2}(0.75)=0.75 \\ \lambda_3=\frac{2}{3}(0.75)=0.5 \\ \lambda_4=\frac{2}{4}(0.75)=0.375 \\ \lambda_5=\frac{2}{5}(0.75)=0.3 \end{gathered}\)A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 4.65 m/s. The car is a distance d away.
The bear is 32.4 m behind the tourist and running at 5.68 m/s. The tourist reaches the car safely. What is the maximum possible
value for d?
Answers
Answer:
146.27 m
Explanation:
From the question given above, the following data were obtained:
Velocity of tourist (vₜ) = 4.65 m/s
Distance travelled by tourist (dₜ) = d
Velocity of bear (v₆) = 5.68 m/s
Distance travelled by bear (d₆) = 32.4 + d
Value of d =?
Next, we shall determine the time taken for tourist and the bear to get to the car.
For the tourist:
Velocity of tourist (vₜ) = 4.65 m/s
Distance travelled by tourist (dₜ) = d
Time (tₜ) =?
vₜ = dₜ / tₜ
4.65 = d/tₜ
Cross multiply
4.65 × tₜ = d
Divide both side by 4.65
tₜ = d / 4.65
For the bear:
Velocity of bear (v₆) = 5.68 m/s
Distance travelled by bear (d₆) = 32.4 + d
Time (t₆) =?
v₆ = d₆ / t₆
5.68 = (32.4 + d) / t₆
Cross multiply
5.68 × t₆ = (32.4 + d)
Divide both side by 5.68
t₆ = (32.4 + d) / 5.68
NOTE: Both the tourist and the bear have the same time. Thus, to obtain the value of d, we shall equate both the time taken for the tourist and the bear together. This is illustrated below:
Time taken by tourist (tₜ) = time taken by the bear (t₆)
tₜ = d / 4.65
t₆ = (32.4 + d) / 5.68
tₜ = t₆
d / 4.65 = (32.4 + d) / 5.68
Cross multiply
d × 5.68 = 4.65 (32.4 + d)
5.68d = 150.66 + 4.65d
Collect like terms
5.68d – 4.65d = 150.66
1.03d = 150.66
Divide both side by 1.03
d = 150.66 / 1.03
d = 146.27 m
Thus, the maximum value of d is 146.27 m
write down the value of
920 kg in g
Answers
Answer:
920000
Explanation:
Each kg contains 1,000 grams
1. a body of mass 40kg is given an acceleration of 10ms/2 on a horizontal ground for which the coefficient of friction 0.5, calculate the force required to accelerate the body (g= 10ms/2)
2. a force of 20N applied parallel to the surface of a horizontal table and just sufficient to make a block of mass 4kg move on the table. Calculate the coefficient of friction between the block and the tabla.
Answers
Answer:
1: Force, F = 200N
2: coefficient of friction = 0.5
1. The calculated magnitude of force required to accelerate the body is 60 N.
2. The calculated value of coefficient of friction between the block and the table is 0.5.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
1. Given parameters:
Mass of the body; m = 40 kg.
Co-efficient of friction; μ = 0.5.
Acceleration of the body; a = 10 m/s².
Frictional force = μmg = 0.5 × 40 × 10 N.
hence, the force required to accelerate the body = ma + frictional force
= 40 × 10 N + 0.5 × 40 × 10 N
= 60 N.
Hence, the required force is 60N.
2. Given parameters:
Mass of the block; M = 4 kg.
Applied parallel force just sufficient to make a block of mass 4kg move on the table: F = 20 N.
weight of the block = mg = (4 ×10) N
So, co-efficient of friction is = applied parallel force just sufficient to make the block move/weight of the block
= 20/(4 ×10)
=0.5
The coefficient of friction between the block and the table is 0.5.
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You throw a ball into the air. Which two forces cause the ball to gradually stop moving upward and then fall back to Earth?
A.
Balanced forces
B.
Friction
C.
Normal force
D.
Gravitational force
will mark brainliest
Answers
Answer: Gravitational Forces
Explanation:
Using atleast 4 sentences. Please share three facts you have learned this year in Physical Education and how you will adapt what you have learned to your everyday life.
Answers
Three facts I have learned this year in Physical Education are:
a) The importance of stretching before and after exercising.
b) The benefits of cardiovascular exercise.
c) The importance of staying hydrated during exercise.
Firstly, I have learned the importance of stretching before and after exercising. Stretching helps prevent injury and improves flexibility. I will make sure to incorporate stretching into my daily routine, whether it's through a short stretching session in the morning or by taking a few minutes to stretch before and after a workout.
Secondly, I have learned the benefits of cardiovascular exercise. Cardiovascular exercise, such as running or cycling, helps improve heart health and endurance. I will try to incorporate more cardiovascular exercise into my daily routine, such as going for a run or bike ride after work.
Lastly, I have learned the importance of staying hydrated during exercise. Dehydration can lead to fatigue and muscle cramps, so it's important to drink plenty of water before, during, and after exercise. I will make sure to carry a water bottle with me throughout the day and refill it regularly to ensure that I am staying hydrated.
In summary, by incorporating stretching, cardiovascular exercise, and staying hydrated into my daily routine, I hope to improve my overall physical health and well-being.
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2. The light from the Sun reaches Earth in 8.3 minutes. The speed of light is 11,184,681 miles/minute. How far is
Earth from the Sun?
Answers
Answer:
92,832,852.3 miles
Explanation:
How are magnetic fields like vectors?
Answers
Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.
Explanation: