A 7.5 kg beaver dives horizontally off a 50 kg log at a speed of 4 m/s. What is the speed of the log?
Answers
Answer:
\(0.6\; \rm m\cdot s^{-1}\), assuming that drag of the water on the log is negligible.
Explanation:
The momentum \(p\) of an object is equal to the product of mass \(m\) and velocity \(v\). That is, \(p = m\, v\).
If the drag of water on the log is negligible, momentum of the beaver and the log, combined, would be preserved.
The momentum of the beaver and the log, combined, was initially \(0\; \rm kg\cdot m \cdot s^{-1}\).
The momentum of the beaver right after the dive would be \(7.5 \; {\rm kg} \times 4\; {\rm m \cdot s^{-1}} = 30\; {\rm kg \cdot m \cdot s^{-1}}\).
The sum of the momentum of the beaver and the log is conserved and should continue to be \(0\; {\rm kg\cdot m \cdot s^{-1}}\) even after the dive. Since the momentum of the beaver is \(30\; {\rm kg \cdot m \cdot s^{-1}\) after the dive, the momentum of the log should become \((-30)\; {\rm kg \cdot m \cdot s^{-1}}\).
Since the mass of the log is \(50\; {\rm kg}\), the new velocity of this log would be:
\(\begin{aligned}v &= \frac{p}{m} \\ &= \frac{(-30)\; {\rm kg \cdot m \cdot s^{-1}}}{50\; {\rm kg}} \\ &= (-0.6)\; {\rm m \cdot s^{-1}}\end{aligned}\).
(The new velocity of the log is negative because the log would be moving away from the beaver.)
The speed of an object is the magnitude of velocity. For this log, a velocity of \((-0.6)\; {\rm m \cdot s^{-1}}\) would correspond to a speed of \(|(-0.6)\; {\rm m \cdot s^{-1}| = 0.6\; {\rm m \cdot s^{-1}\).
Related Questions
How do you measure the wavelength of wave?
Answers
Explanation:
by finding the distance between two successful crest
Answer:
the wavelength can be measured as the distance from crest to crest or from trough to trough , the wavelength of a wave can be measured as the distance from a point on a wave to the corresponding point on the next cycle of the wave.
Explanation:
The Escape speed at the surface of a certain planet is twice that of the earth. what is its mass in unit of earth's mass?
Plzz help
Answers
Answer:
22Km/sec
Explanation:
A student did 24 J of work on a chair. She applied a force of 12 N and moved the chair 2 m. What else do you need to know to determine the amount of power used?
Answers
Answer:
time
Explanation:
power = work done ÷ time
1) The time-rate of change of velocity is
A. acceleration B. distance
C. speed
D. velocity
Answers
Answer:
A) acceleration because it's definitely change in velocity definition
A thin circular sheet of glass of diameter 7 meters is rubbed with a cloth on one surface, and becomes charged uniformly. A chloride ion (a chlorine atom which has gained one extra electron) passes near the glass sheet. When the chloride ion is near the center of the sheet, at a location 0. 8 mm from the sheet, it experiences an electric force of 8E-15 N, toward the glass sheet. In this problem, use the value 8. 85e-12 C2/(N·m2)
Answers
The force experienced will be 8E-15 N.
A thin circular sheet of glass with a diameter of 7 meters has been rubbed with a cloth on one of its surfaces, resulting in a uniform charge.
A chloride ion, consisting of a chlorine atom which has gained an extra electron, passes near the glass sheet. When the chloride ion is 0.8 mm away from the center of the sheet, it experiences an electric force of 8E-15 N, directed towards the glass sheet. Using the value 8.85e-12 C2/(N·m2), this force can be calculated as follows:
F = 8.85e-12 x (Q1 x Q2) / d2
Where Q1 and Q2 are the charge of the chloride ion and the glass sheet, respectively, and d is the distance between them (0.8 mm).
Therefore, the force experienced by the chloride ion is 8E-15 N, as expected.
To learn more about force, click here:
https://brainly.com/question/12785175
#SPJ4
A truck covers a distance of 360 km in 5 hrs. Find its speed
Answers
Answer:
72 km / hour
Explanation:
Speed equals to distance over time. We are given distance equal 360 km and time in 5 hours.
Hence:
\(\displaystyle \large{s=\frac{360}{5}}\\\displaystyle \large{s=72}\)
Therefore, the speed is 72 km / hour.
Notes
Sometimes, speed is defined as ‘v’ while velocity is defined as ‘v vector’ indicating that velocity is speed with direction and speed is just velocity with only magnitude.
__________________________________________________________
An E.M.F. Of 75 volts is placed across a 15 ohm fixed resistor. What current flows through
the resistor?
Answers
V=IR
I=V/R = 75/15 = 5
I= 5A
overall force acting on an object.
Answers
Answer:
Gravity
Explanation:
Gravity is a force that acts upon every single object on Earth.
The 2023 ariya regenerative braking system recovers kinetic energy from the drive wheels and converts it into electrical energy to recharge the battery when ________.
Answers
The 2023 regenerative braking system recovers kinetic energy from the drive wheels and converts it into electrical energy to recharge the battery when the driver applies the brakes and the vehicle is coasting.
What is a regenerative braking system?A regenerative braking system is an energy recovery device aimed at maximizing the range while slowing the velocity of the vehicle via the transformation of the kinetic energy into another type of energy.
Therefore, with this data, we can see that a regenerative braking system is aimed at slowing the velocity by converting kinetic energy.
Learn more about regenerative braking systems here:
https://brainly.com/question/27799529
#SPJ1
How does stickK help consumer accomplish their goals? Articulate the key features of stickK that facilitate that goal attainment. How does stickK make money? Does the company have a viable business case? How might the business model differ if stickK went after a B2B business approach? What do you see as stickK main barriers to success? What would you recommend to Jordan Goldberg - to stick to the B2C model or to build a new B2B business model?
Answers
StickK is a platform that helps consumers achieve their goals by making a commitment contract.
The commitment contract is a binding agreement where the consumer sets a goal and selects a referee to hold them accountable. If they don't reach the goal, they will have to pay a penalty fee that they set themselves at the start of the contract. StickK's key features include personalized goal setting, social support, and a penalty system that motivates the user to stay committed.
StickK makes money through its penalty fees and affiliate marketing. The company has a viable business model as it has a growing user base and positive user feedback. If StickK went after a B2B approach, they would need to tailor their platform to a company's goals and work with HR departments to make sure the commitment contract is effective.
The main barrier to success for StickK is the low adoption rate as people may be hesitant to commit to a contract and pay a penalty. To overcome this barrier, StickK could focus on marketing and expanding their user base by partnering with fitness or wellness companies.
it is already proven to be successful and there is still room for growth. StickK can continue to improve and refine its features to attract more users and expand its market reach.
learn more about affiliate marketing here
https://brainly.com/question/31361572
#SPJ11
Can you help me please?
Answers
Answer:
a/ oscillating charges
. Will wood have a high or a low thermal conductivity?
Answers
Answer:
Low thermal conductivity
Explanation:
Probably wood have low thermal conductivity compared with metals,marble,glass and concrete
because electricity can not flow in wood. So no heat would be generated.
determine how to distribute an additional mass of 6 g at the three vertices of the plate to move the balance point of the plate to
Answers
The additional mass should be distributed as 2.75g, 0.25g, and 3 gm at vertices V1, V2, and V3 respectively, to move the center of mass of the plate at (2, 2).
The center of mass (x, y) of a triangular plate with vertices V1=(0,1), V2=(8,1), and V3=(2,4) can be calculated by taking the average of the x and y coordinates of the vertices.
x = (0 + 8 + 2)/3 = 10/3
Similarly y = 6/3 = 2
So, the center of mass of the plate is (4, 2).
New center of the mass is (2, 2)
w1 + w2 + w3 = 6 g ....eqn(1)
Mass of the plate, m = 3 g
To distribute an additional mass of 6 g at the three vertices of the plate to move the balance point of the plate to (2,2), we need to determine the masses w1, w2, and w3 that need to be added at each vertex.
The formula for finding the center of mass of a system of point masses is:
x = (w1 × x1 + w2 × x2 + w3 × x3 + m × 10/3)/(m + w1 + w2 + w3)
y = (w1 × y1 + w2 × y2 + w3 × y3 + m × 2)/(m + w1 + w2 + w3)
2 = (w1 × 0 + w2 × 8 + w3 × 2 + 3 × 10/3)/(3 + 6)
18 = 8w2 + 2w3 + 10
8 = 8w2 + 2w3....eqn(2)
Similarly
2 = (w1 × 1 + w2 × 1 + w3 × 4 + 3 × 2)/(3+6)
18-6 = w1 + w2 + 4w3
12 = w1 + w2 + 4w3 ...... eqn(3)
On solving three equations
6 = w1 + w2 + w3
8 = 8w2 + 2w3
12 = w1 + w2 + 4w3
We get
w1 = 2.75 g
w2 = 0.25 g
w3 = 3 g
To know more about center of mass, here
https://brainly.com/question/28996108
#SPJ4
--The given question is incomplete, the complete question is:
"A thin triangular plate of uniform density and thickness has vertices V1=(0,1), V2=(8,1), and V3=(2,4), and the mass of the plate is 3 g.
Determine how to distribute an additional mass of 6g at the three vertices of the place to move the balance point of the plate to (2,2). Hint: Let w1,w2,w3 denote the masses added to the three vertices so that w1+w2+w3= 6."--
The capacitance of a Pt-n-type GaAs Schottky diode is given by 1 (C(μF))2 = 1.0 × 105 − 2.0 × 105 V The diode area is 0.1 cm2. Calculate the built-in voltage Vbi, the barrier height, and the doping concentration
Answers
Answer:
built in potential Vbi = +0.5V
barrier height = 0.139 V
doping concentration = 5.39 × 10²³cm³
Explanation:
Apply Newton's first law to music playing on the radio.
Answers
Answer: Find the answer in the explanation
Explanation:
The music playing on the radio will be heard through the sound waves coming from the radio.
The travelling wave will obey Newton's first law of motion which state that:
An object or particle will remain at rest or continue its linear motion in a straight line except an external force is applied.
The external force through wind could affect the travelling of the sound waves. Since the wave is longitudinal wave. That is, it needs a medium (air) for its propagation.
A car traveling at 25 m/s speeds up to 30 m/s over a period of 5 seconds. The average acceleration of the car is?
Answers
Answer:
a= 1 m/s^2
Explanation:
Average acceleration can be found by dividing the change in velocity by the time.
a= ΔV/t
The change in velocity is the difference of the final velocity and initial velocity.
ΔV= final velocity - initial velocity
The final velocity is 30 m/s and the initial velocity is 25 m/s
ΔV= 30 m/s- 25 m/s
ΔV= 5 m/s
The time is 5 seconds.
Now we know the two values.
ΔV= 5 m/s
t= 5 s
Substitute the values into the formula.
a= 5 m/s / 5 s
Divide.
a= 1 m/s/s
a= 1 m/s^2
The average acceleration of the car is 1 meter per second squared.
Heat is the measurement of energy from all the particles that are in a substance.
Please select the best answer from the choices provided : T/F
Answers
Explanation:
the correct answer is (true) if am not mistaking incase am wrong sorry
A vehicle is travelling with uniform velocity along a straight, level stretch of highway. The combined force due to the rolling friction and air resistance is - 5000 N. What is the applied force on the vehicle as it moves?
Answers
Answer:
The applied force on the vehicle is 5,000 N
Explanation:
From the question, we have the following parameters of the motion of the vehicle;
The form of the velocity with which the vehicle is travelling = Uniform velocity
The direction of motion of the vehicle = Along a straight and level stretch of the highway
The combined force which acts as resistance to the vehicle's motion = 5,000 N from rolling friction and resistance of the air opposite to the direction of motion
A vehicle travelling with uniform velocity has zero acceleration, therefore;
The acceleration of the vehicle, a = 0 m/s²
According to Newton's Second Law of Motion, we have;
Force, F = Mass, m × Acceleration, a
∴ The net force of acting on the vehicle, F = m × a
Where;
m = The mass of the vehicle
a = The acceleration of the vehicle = 0 m/s²
∴ F = m × 0 = 0
The net force on the vehicle = 0, therefore;
The applied force + The force of rolling friction and air resistance = 0
We therefore have;
The applied force + 5,000 N = 0
∴ The applied force = 0 - 5,000 N = -5,000 N
The applied force, F = 5,000 N in the direction of motion.
a commercial airliner flew 20,000 km nonstop from seattle to kuala lumpur at an average speed of 900 km/hr. if its average mass was 140,000 kg, what was its average kinetic energy? (we take an average because the mass of the airplane changes as it exhausts burnt fuel.)
Answers
2.5 10 9 J of the 1.034 10 10 J total energy is kinetic energy, and 7.84 10 9 J is potential energy.
Is kinetic energy at a constant temperature?The average kinetic energy of the particles in an item is measured by its temperature. These particles move more quickly as the temperature rises. It is not the worst definition, but it is also not the finest.
The average kinetic energy (K) is determined by multiplying the RMS speed (vrms) by the square of the mass (m) of each gas molecule.
Thus, it may be inferred that the temperature is the single factor affecting the average kinetic energy of the molecules in a thermalized sample of gas.
A substance's temperature is directly related to the average kinetic energy of its particles. Because the particles' mass remains constant, they must travel faster as the planet warms.
Learn more about average kinetic energy refer
https://brainly.com/question/9078768
#SPJ4
How could you measure the potential energy from your machine?
Answers
Answer:
An object can store energy as the result of its position. for example, the heavy ball of demotation machine is storing energy when it is hold at an elevated position
If a ball is rolling down a hill, it has both kinetic and potential energy. The ball has
38 J of potential energy because of its height and 80J of kinetic energy because
of its motion. How much mechanical energy does the ball have
Answers
The answer is 118 J :)
Explanation:
38 +80 = 118.
When we say a wave requires a
medium, what do we mean?
A. It can predict the future.
B. It must travel through a material.
C. It must travel through empty space.
D. Its not the largest wave, but its not the
smallest.
Answers
Answer:
It must travel through empty space
A collection of a fixed number of elements (called components) arranged in n dimensions ( n >= 1) is called a(n) ____.
Answers
A collection of a fixed number of elements (called components) arranged in n dimensions ( n >= 1) is called a(n) n- dimensional array
an array of dimensions gives Information about the material composition for each point in the heterogeneous part is stored in N.
Similar to a one-dimensional array, a two-dimensional array is represented graphically as a grid (or table) with rows and columns.
A big gathering of objects or people is referred to as a "array," especially one that is eye-catching, inspires admiration, or has been arranged in a particular way: The spread of food on the table was magnificent. They were seated in front of numerous microphones and cameras. Related words and phrases are part of the SMART Vocabulary. Things in groups and collections
To learn more about array please visit-
https://brainly.com/question/13107940
#SPJ4
an observer on earth measures the time interval from when the spacecraft is directly over one end of the runway until it is directly over the other end. what result does she get?
Answers
If the spacecraft is accelerating or decelerating, the time interval will be different. The time interval can also be affected by factors such as the altitude of the spacecraft and the curvature of the Earth.
If an observer on Earth measures the time interval from when the spacecraft is directly over one end of the runway until it is directly over the other end, the result will depend on the speed of the spacecraft and the length of the runway. If the spacecraft is moving at a constant speed, the time interval can be calculated using the formula:
time interval = distance/speed
For example, if the spacecraft is moving at a speed of 1000 km/hr and the length of the runway is 10 km, the time interval would be:
time interval = 10 km / (1000 km/hr) = 0.01 hr = 36 seconds
Learn more about the time interval at
https://brainly.com/question/14746901?referrer=searchResults
#SPJ4
Skater 1 has a mass of 105.0 kg and a velocity of 2.0 m/s to the left. He
collides with Skater 2, who has a mass 71.0 kg and a velocity of 5.0 m/s to
the right. After they collide, Skater 2 has a velocity of 3.4 m/s to the left. What
is the final velocity of Skater 1?
O A. 3.7 m/s to the right
B. 0.9 m/s to the right
O C. 3.7 m/s to the left
O D. 0.9 m/s to the left
SUBMIT
Answers
The final velocity of skater 1 is 3.7 m/s to the right. The right option is O A. 3.7 m/s to the right.
What is velocity?
Velocity can be defined as the ratio of the displacement and time of a body.
To calculate the final velocity of Skater 1 we use the formula below.
Formula:
mu+MU = mv+MV............ Equation 1Where:
m = mass of the first skaterM = mass of the second skateru = initial velocity of the first skaterU = initial velocity of the second skaterv = final velocity of the first skaterV = final velocity of the second skater.make v the subject of the equation.
v = (mu+MU-MV)/m................ Equation 2
Note: Let left direction represent negative and right direction represent positive.
From the question,
Given:
m = 105 kgu = -2 m/sM = 71 kgU = 5 m/sV = -3.4 m/s.Substitute these values into equation 2
v = [(105×(-2))+(71×5)-(71×(-3.4))]/105v = (-210+355+241.4)/105v = 386.4/105v = 3.68 m/sv ≈ 3.7 m/sHence, the final velocity of skater 1 is 3.7 m/s to the right. The right option is O A. 3.7 m/s to the right.
Learn more about velocity here: https://brainly.com/question/25749514
an 7.6 kgkg crate is pulled 5.1 mm up a 30∘∘ incline by a rope angled 17 ∘∘ above the incline. the tension in the rope is 120 nn and the crate's coefficient of kinetic friction on the incline is 0.27.How much work is done by (a) tension, by (b) gravity, and by (c) the normal force?2. ) What is the increase in thermal energy of the crate and incline?
Answers
(a) The work done by tension is 0 J.
(b) The work done by gravity is -30.7 J.
(c) The work done by the normal force is 0 J.
(d) The increase in thermal energy of the crate and incline is 30.7 J.
(a) The tension in the rope is perpendicular to the displacement of the crate, so the work done by tension is zero. This is because work is defined as the dot product of force and displacement, and when the angle between the force and displacement vectors is 90 degrees, the work done is zero.
(b) The work done by gravity can be calculated by considering the component of the weight of the crate that acts along the incline. The gravitational force can be split into two components: one parallel to the incline (mg * sin θ) and one perpendicular to the incline (mg * cos θ). The work done by the component parallel to the incline is given by the formula W = force * distance * cos θ. Substituting the values, we get W = (-mg * sin θ) * distance * cos θ = -30.7 J.
(c) The normal force exerted by the incline is perpendicular to the displacement of the crate, so the work done by the normal force is zero.
(d) The increase in thermal energy of the crate and incline is equal to the negative of the work done by gravity. This is due to the conservation of mechanical energy. The work done by gravity is negative because the force of gravity acts opposite to the displacement of the crate. Therefore, the increase in thermal energy is 30.7 J.
It's important to note that the negative sign in the work done by gravity indicates that work is done against gravity, resulting in a decrease in the mechanical energy of the system. The increase in thermal energy represents the energy dissipated as heat due to friction between the crate and the incline.
For more such questions on work done, click on:
https://brainly.com/question/8119756
#SPJ11
William adds two values, following the rules for using significant figures in computations he should write the sum of theses two numbers by using
Answers
Answer: the same number of decimal places as the least precise value.
Explanation:
Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.
The rule apply for the addition and subtraction is :
The least precise number present after the decimal point determines the number of significant figures in the answer.
For example: 12.1 + 3.245 = 15.3 as the least precise number 12.1 has one decimal place.
Thus William should write the sum of these two numbers by using the same number of decimal places as the least precise value.
Source: https://brainly.com/question/1453960
A car accelerates uniformly from rest to a speed of 55.0 mi/h in 11.0 s.(a) Find the distance the car travels during this time. m(b) Find the constant acceleration of the car.m/s²
Answers
We know that
• The initial speed is zero (it starts from rest).
,• The final speed is 55 mi/h.
,• The time elapsed is 11 seconds.
To find the distance traveled, let's use the following formula.
\(v^2_f=v^2_0+2ad\)But first, we have to transform 55 mi/h into m/s. We know that 1 mile is equivalent to 1609.34 meters, and 1 hour is equivalent to 3600 seconds.
\(55\cdot\frac{mi}{h}\cdot\frac{1609.34m}{1mi}\cdot\frac{1h}{3600\sec}\approx24.6\cdot\frac{m}{s}\)Then, we find the acceleration because we need it to find the distance traveled.
\(\begin{gathered} v_f=v_0+at \\ 24.6\cdot\frac{m}{s}=0+a\cdot11\sec \\ a=\frac{24.6\cdot\frac{m}{s}}{11s} \\ a\approx2.2\cdot\frac{m}{s^2} \end{gathered}\)(b) The constant acceleration is 2.2 m/s^2.Now we are able to find the distance traveled.
\(\begin{gathered} v^2_f=v^2_0+2ad\to(24.6\cdot\frac{m}{s})^2=0^2+2(2.2\cdot\frac{m}{s^2})d \\ 605.16\cdot\frac{m^2}{s^2}=4.4\cdot\frac{m}{s^2}\cdot d \\ d=\frac{605.16\cdot\frac{m^2}{s^2}}{4.4\cdot\frac{m}{s^2}} \\ d\approx137.5m \end{gathered}\)(a) The distance the car travels during this time is 137.5 meters.Energy Representations 3: Power and Efficiency:Question 2
This Sankey diagram shows the energy transformations
in a mixer used to stir ingredients together. If the
percentage of non-useful energy produced by the mixer
is 30%, what is the energy efficiency of the mixer?
Select one:
10%.
70%.
100%.
30%.
Electric energy
Sound
Thermal energy
energy
Kinetic energ
Answers
The energy efficiency of the mixer is 70%.
The Sankey diagram shows the amount of energy absorbed, the amount of useful energy, and the amount of non-useful energy.
Input energy = output energyInput energy = useful energy + non-useful energyInput energy (I) = useful energy (U) + waste energy (W)I = U + W
The efficiency of a device
η = (U/I) × 100%
Input energy is always 100%I = 100%W = 30%
I = U + W
100% = U + 30%
U = 100% - 30%
U = 70%
The efficiency of the mixer
η = (U/I) × 100%
η = (70%/100%) × 100%
η = (7/10) × 100%
η = 70%
Learn more about Sankey diagram here: https://brainly.com/question/13697173
#SPJ1
The total amount of charge that passes through a wire's full cross section at any point per unit of time is referred to as
Answers
Answer:
The current in a circuit can be determined as total amount of charge passes through a wire's full cross section area.
Explanation:
what is current?The current is a flow of electrical charge carriers electrons.
The current is denoted with symbol uppercase letter I.
The standard unit for current is the ampere, symbolized by A.
Current is the change in charge with change in time.
Hence we can say that,
The current in a circuit can be determined as total amount of charge passes through a wire's full cross section area.
Learn more about current of wire here:
https://brainly.com/question/23728758
#SPJ4