Answer:
what is the best result of
A runner of mass 58.7 kg starts from rest and accelerates with a constant acceleration of 1.07 m/s2 until she reaches a velocity of 7.5 m/s. She then continues running with this constant velocity.
a) How far has she run after 53.3 seconds?
b) What is the velocity of the runner at this point?
A. The distance travelled after 53.3 seconds is 1919.63 m
B. The velocity of the runner ath the given time is 64.53 m/s
A. How to determine the distance travelled after 53.3 secondsThe distance travelled can be obtained as follow:
Initial velocity (u) = 7.5 m/sAcceleration (a) = 1.07 m/s² Time (t) = 53.3 secondsDistance (s) =?s = ut + ½at²
s = (7.5 × 53.3) + (½ × 1.07 × 53.3²)
s = 399.75 + (0.535 × 2840.98)
s = 399.75 + 1519.87615
s = 1919.63 m
Thus, the distance travelled in 53.3 seconds is 1919.63 m
B. How to determine the velocityInitial velocity (u) = 7.5 m/sAcceleration (a) = 1.07 m/s² Time (t) = 53.3 secondsFinal velocity (v) =?v = u + at
v = 7.5 + (1.07 × 53.3)
v = 7.5 + 57.031
v = 64.53 m/s
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a boat whose speed in still water is 1.80 m/s must cross a 285 wide river
The speed of the river current with respect to the boat is(Vₙ)= 1.036 m/s.
What is speed?Speed is a scalar quantity. Speed is a way of measuring how quickly something is moving or being done, or something moving fast.
How can we calculate the values of the speed of the river?To calculate the values of the speed of the river, we are using the formula,
v=1.768-Vₙ
The given parameters;
boat's speed , vₐ= 2.5 m/s
the river's width, w = 285 m
upstream distance , d = 118 m
the pilot's direction, θ = 45⁰
We know the velocity has the vertical and horizontal component, so we can calculate this ;
v(x)=vₐsinθ=2.5*sin45°=1.768m/s
v(y)=vₐcosθ=2.5*cos45°=1.768m/s
To calculate the time taken for the boat is ;
t=w/v(y)
Or, t=285/1.768
Or, t = 161.25 s
To calculate the total horizontal velocity of the boat and the river; we are using the formula,
v=1.768-Vₙ
Or,1.768-Vₙ=d/t
Or, 1.768-Vₙ=118/161.2
Or, 1.768-Vₙ=0.732
Or, Vₙ=1.036m/s
From the above calculation we can conclude that,
The speed of the river current with respect to the boat is 1.036 m/s.
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Note: The question is incomplete in the portal. Here is the total question,
Question: A boat, whose speed in still water is 2.50 m/s, must cross a 285-m wide river and arrive at a point 118m upstream from where it starts. To do so, the pilot must head the boat at a 45.0 degrees upstream angle. What is the speed of the rivers current?
A tennis ball is dropped from 1.67 m above the ground. It rebounds to a height of 0.898 m. With what velocity does it hit the ground? The acceleration of gravity is 9.8 m/s2 . (Let down be negative.) Answer in units of m/s.
Velocity of the ball by which it hits the ground is 5.721 m/s.
Height from which the ball has been thrown, s = 1.67m
Acceleration due to gravity, g = 9.81 m/s²
Since, velocity of the ball hitting the ground is being asked, rebound height can be ignored.
So according to the Third Equation of Motion which relates velocity, displacement and acceleration, we can find the velocity of the ball,
[tex]v^{2} = u^{2} + 2as[/tex]
u = initial velocity of the ball = 0 m/s
v² = 0 +2*(-9.8)*(-1.67)
v² = 32.732 m/s
[tex]v = \sqrt{32.732}[/tex] m/s
v = -5.721 m/s
Square root of velocity (v) will give two values, one as positive and the other as negative, and here negative value is considered because the velocity is towards the ground and downwards is taken here as negative.
Therefore the velocity of the ball hitting the ground will be 5.721 m/s.
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Find the direction of this vector.
80.0°
B-18.6 m
0 = [?]°
Hint: Remember, 0 is the direction of the
vector and is measured from the +x-axis.
The direction of the given vector B of 18.6 m that is 80° left of the positive y-axis is 170°
Angle of the vector made with positive y-axis = 80°
Angle between positive x and y axis = 90°
Direction of B, θ = 90° + 80°
θ = 170°
Direction of a vector is the angle of the vector that is made with positive x-axis. A vector with a certain direction of certain degrees means that the vector is rotated that much degrees in counter-clockwise direction relative to positive x-axis.
Therefore, the direction of the vector B is 170°
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A car driver traveling 40 m/s slows down to a speed of 20 m/s in 10 seconds. What is the car’s acceleration?
The equation we use is to determine the acceleration of the car, it is a Uniformly Varied Rectilinear Motion (MRUV) is:
[tex]\boxed{\sf{a=\dfrac{V_{f}-V_{o}}{t}}} \ \ \ \ \ \sf{\longmapsto \ \ \ \ \ Where \ \ \ \ \begin{cases}\sf{V_{f} = Final \ velocity} \\ \sf{V_{o}=Initial \ velocity} \\ \sf{a=Acceleration} \\ \sf{t=Time} \end{cases}}[/tex]
We extract the data of the problem:
[tex]\sf{V_{f}=20 \ m/s}[/tex][tex]\sf{V_{o}=40 \ m/s}[/tex][tex]\sf{t=10 \ s}[/tex]We plug these values into the scalar equation above.
[tex]\sf{a=\dfrac{V_{f}-V_{o}}{t}}[/tex]
[tex]\sf{a=\dfrac{20 \ m/s-40m/s}{10 \ s} }[/tex]
[tex]\sf{a=\dfrac{-20 \ m/s}{10 \ s} }[/tex]
[tex]\boxed{\boxed{\boldsymbol{\sf{a=-2 \ m/s^{2} }}}}[/tex]
Rpta: The acceleration of the car was -2 m/s^2.
How is simple machine are more applicable than complex machine.
Answer:
Explanation:
A simple machine is the simplest device that performs work. A simple machine applies a single force to a single load and generally acts as a building block in developing more complex, compound machines. Simple machines usually fall into one of six categories, including: lever, wheel and axle, pulley, inclined plane, wedge and the screw.
I hope this helps you ")
Evaporation takes place at the surface of a liquid , use particle model of matter to explain evaporation?
Explanation:
These "more energetic particles" may have
sufficient energy to escape from the surface
of the liquid as gas or vapour.... Evaporation
takes place at room temperature which is
often well below the boiling point of the
liquid. Evaporation happens from the surface
of the liquid.
As the coaster starts rolling down the hill, it has a height of 10 m and a velocity of 42 m/s. What is the total energy of the coaster at this point? (It has a mass of 1300 kg.)
The total energy of the coaster at that point is 1274000 J.
What is energy?Energy can be defined as the ability or the capacity for a body to perform work.
From the question, to calculate the total energy of the coaster at that point, we use the formula below.
Formula:
E = mgh+mv²/2........... Equation 1Where:
E = Total energy of the coaster at that point.m = Mass of the coasterh = Height of the coaster at that pointv = Velocity of the coaster at that pointg = acceleration due to gravity.From the question,
Given:
m = 1300 kgh = 10 mv = 42 m/sg = 9.8 m/s²Substitute the values above into equation 1
E = (1300×10×9.8)+(1300×42²/2)E = 127400+1146600E = 1274000 JHence, the total energy of the coaster at that point is 1274000 J.
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An atom of a _____________________ has two electrons in its outer level and will lose these when it combines with another atom.
a. alkali metal
b. noble gas
c. alkaline earth metal
d. halogen
Answer:
A alkali metals hope this helps
Answer: c. alkaline earth metal
Explanation: group II elements in the periodic table are generally found as 2+ ions. This is because they have lost two electrons to ionic bonding.
an upward force of 170 N IS APPLIED TO A BOX WEIGHING 50 N DRAW A FREEBODY FORCE DIAGRAM FOR THIS SITUATION
A free body diagram of the box consists of weight of the box (50N) acting downwards, normal reaction acting upwards and applied force acting in x-direction.
What is free body diagram?A free-body diagram is a sketch of an object of interest with all the surrounding objects stripped away and all of the forces acting on the body shown.
The forces on the box;
applied force, acting forward, F = 170 Nweight of the box, acting downwards, W = 50 Nnormal reaction of the box acting upwards, R = W = 50 NThe free body diagram of the forces acting on the box is illustrated as follows;
↑ R
F → Ф
↓ W
Thus, a free body diagram of the box consists of weight of the box (50N) acting downwards, normal reaction acting upwards and applied force acting in x-direction.
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If each wafer can hold 400 chips, what is the maximum number of chips that can be produced from one entire cylinder?
The maximum number of chips is 33,333
What is a chip?
A chip is a tiny but complex modules that store computer memory or provide logic circuitry for microprocessors.
We need to find the number of wafers that can be cut from a single crystal.
The crystal is 25cm and each wafer is 0.3mm. We perform division to get the number of wafers per crystal after getting everything into the same units. 25cm=250mm.
250mm/0.3mm=833.3333 wafers.
Each wafer yields 400 chips so we multiply 400 chips per wafer by 833.33 wafers to get 33,333 chips.
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Draw an arrow to represent the friction force.
Answer:
See below
Explanation:
The force of friction is opposite to the force trying to move the block to the right....
For identical metallic objects carry the following charges
The final charge on each object is -1.6μC.
Each metallic object has 10^13 electrons on it.
Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge. Unlike charges, they attract one another, while like charges repel one another.The charges are q1 = 1.6μC, q2 = 6.2μC, q3 =-4.8μC, and q4 =-9.4μC.When they are in contact with each other, then the net charge on the four metallic objects is q1 + q2 + q3 + q4 =-6.4μC The final charge on each object is (-6.4μC)/4 = -1.6μC The charge is negative. So it contains electrons. An electron has a charge of -1.6 * 10^(-19)C.The number of electrons on each object is calculated as (1.6*10^(-6)/(1.6*10^(-19)).The number of electrons on each object is 10^13.To learn more about charge, visit :
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3 important science skills
Answer: Inferring,Predicting,Analyzing
if this wasn't what you were looking for, here are some more science skills to help you pass you classes
- Evaluating.
- Generating possibilities.
- Formulating hypothesis.
- Communicating
Explanation: all these science skills will help you get through your science class with no struggles
Two objects are held close together. When they are released, they move toward one another. Which conclusion is
supported by this evidence?
Answer:
They are attracted to each other. Maybe a magnet. Like 99% sure.
Explanation:
Objects that are usually attracted to each other are magnets. When you release two magnets close to each other, with each pole opposite to the other, they move toward each other and stick. You can only take them apart by force.
The snell's law is also known as ________?
First law of reflection
Second law of accoutic
Second law of reflection
Second law of refraction
The Snell's law is also known as second law of refraction.
According to the Snell's law , the ratio of the sine of angle of incidence to the sine angle of refraction is equal to a constant of a light ray for two media . And it is given as,
[tex]\frac{sini}{sinr} = constant[/tex]
Where, [tex]sin i[/tex] is the angle of incidence light ray, [tex]sinr[/tex] is the angle of refracted light ray. Refractive index, also known as this constant and referred to as the second medium with respect to the first medium i.e. (₁μ₂) ,therefore the equation can be written as,
μ₁/μ₂ = ₁μ₂= [tex]\frac{sini}{sinr} = constant[/tex]
Refraction is a phenomena in which a light ray bends as it travels through one medium through another .
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How much work is done when pushing a desk with a force of 28N across the distance of 1.7 meters?
The work done when pushing a desk is (W)= 47.6 Joules
What is work?When an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement that explains that the work done on a object.
How can we calculate the values of the work?To calculate the values of the work done we are using the formula,
W = F×d
Here, we are given,
F = Exerted Force =28N
d = Covered Distance in the desk =1.7m
We have to calculate,
W = Work done, unit in Nm or joules
Now we put the known values in the above equation, we get,
W = F×d
Or, W = (28N)×(1.7m)
Or, W = 47.6 Nm
Or, W = 47.6 Joules
Now we can say that,
The work done when pushing a desk is (W)= 47.6 Joules
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A rock is thrown vertically upwards at a velocity of 11 meters per second from an initial height of 1.5 meters.
Considering “up” to be the positive y direction, answer the following questions:
How high above the ground does the rock go?
How long does it take to get to the top of its travel?
What is the velocity of the rock half of a second after it is released?
What is the velocity of the rock 1.5 seconds after release?
The height above the ground reached by the rock is 7.7 m.
The time taken for the rock to travel half of a second after it is released is 1.12 seconds.
The velocity of the rock half of a second after it is released is 15.9 m/s.
The velocity of the rock 1.5 seconds after release is 25.7 m/s.
Height travelled by the rock
The vertical height traveled by the rock is calculated as follows;
h = u²/2g
h = (11²)/(2 x 9.8)
h = 6.2 m
Height above the ground reached by the rock = 1.5 m + 6.2 m = 7.7 m
Time of motion of the rockt = √2h/g
t = √(2 x 6.2/9.8)
t = 1.12 seconds
Velocity of the rock half a second after it was releasedv = u + gt
v = 11 m/s + (9.5 x 0.5)
v = 15.9 m/s
Velocity of the rock 1.5 seconds laterv = u + gt
v = 11 m/s + (9.5 x 1.5)
v = 25.7 m/s
Thus, the height above the ground reached by the rock is 7.7 m.
The time taken for the rock to travel half of a second after it is released is 1.12 seconds.
The velocity of the rock half of a second after it is released is 15.9 m/s.
The velocity of the rock 1.5 seconds after release is 25.7 m/s.
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What is the volume of a rock with a density of 45 g/mL and a mass of 855 g?
The volume of a rock with a density of 45 g/mL and a mass of 855g is 19mL.
How to calculate volume?The volume of a gas can be calculated by dividing the mass of the substance by its density as follows:
Volume = mass ÷ density
According to this question, a rock has a density of 45 g/mL and a mass of 855g. The volume can be calculated as follows:
Volume = 855g ÷ 45g/mL
Volume = 19mL
Therefore, the volume of a rock with a density of 45 g/mL and a mass of 855g is 19mL.
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A series of ocean waves, 5.0 m between crests, move past at 2.0 waves/s. Find their speed.
Answer:
10 m/s
Explanation:
Speed = wavelength * frequency
= 5 m * 2 / s = 10 m/s
During a collision with a wall, the velocity of a ball mass 0.170kg changes from v1 = 23.1m/s toward the wall to v2 = 17.1m/s away from the wall. If the time the ball was in contact with the wall was t =0.0651s ,what was the magnitude of the average force applied to the ball?
The magnitude of the average force applied to the ball is 104.98 N
What is momentum?Momentum is defined as the product of mass and velocity. It is expressed as
Momentum = mass × velocity
What is impulse?This is defined as the change in momentum of an object.
Impulse = change in momentum
Impulse = final moment – Initial momentum
But
Impulse = force × time
Therefore
Force × time = final moment – Initial momentum
Ft = m(v - u)
How to determine the forceMass (m) = 0.170 KgInitial velocity = 23.1 m/sFinal velocity = 17.1 m/sTime = 0.0651 sForce = ?Ft = m(v + u) (rebound )
Divide both sides by t
F = m(v + u) / t
F = [0.17 × (17.1 + 23.1)] / 0.0651
F = [0.17 × 40.2] / 0.0651
F = 6.834 / 0.0651
F = 104.98 N
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Please help!Giving Brainliest
I need to turn this in by midnight
u = initial speed = 10 m/s
v = final speed = 14 m/s
Impulse is 2000 N/s
Given,
Mass of car = 500 kg
Force = 200 N
Acceleration = F/M
Acceleration = 0.4 m/s^2
Calculating the final speed,
u = initial speed = 10
v = final speed = ?
t = time of acceleration
v = u + at
v = 10 + (0.4 x 10)
v = 14m/s
Impulse = Ft = mv - uv
(200 x 10) = (500 x 14) - (500 x 10)
2000 = 7000 - 5000
2000 = 2000
Hence our answer is correct and the impulse is 2000 N/s.
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Mary needs to row her boat across a 140 m-wide
river that is flowing to the east at a speed of
1.5 m/s. Mary can row with a speed of 4.0 m/s.
Answer:
2.5
Explanation:
you just subtract basic math
How much work is done to lift a 5.36kg box off the ground 2.2m?
Answer:
Explanation:
Given:
m = 5.36 kg
h = 2.2 m
___________
A -?
Work:
A =m·g·h
A = 5.36·9.8·2.2 ≈ 116 J
True or false-Consider an object that starts from rest and moves with constant acceleration. The plot of displacement versus time for such motion is a curved line while the plot of displacement versus time squared is a straight line.
Question 21 options:
True
False
What effect generates lift on a Flettner rotor?
Magnus effect generates lift on a Flettner rotor. It is named as Magnus effect, as it was first experimentally investigated by H G Magnus.
A Flettner rotor is a smooth cylinder with a disc plate at the end of it. The disc at the end is called as Thom disc. It optimses aerodynamic efficiency at the end of rotor. The rotor is rotated along its axis by the ship's engines. It is used in ships and airplanes. In ships it is mounted upright whereas in airplanes it is mounted sideways in place of wings.
As air strikes the rotating rotor at right angles to the axis of rotor, the ship moves in the direction perpendicular to both the rotation axis and air flow direction due to aerodynamic force created by Magnus effect.
Therefore, Magnus effect generates lift on a Flettner rotor.
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If the fuse in one of the houses can withstand a maximum current of 5 A at potential difference of 110 V, The maximum number of lamps that can be lighted at the same time without blow up of the fuse......
lamps
The maximum number of lamps that can be lighted at the same time without blow up of the fuse is 11.
The rate of performing labor is referred to as power. The amount of work (W) to the amount of time (T) is the ratio (t). Power(P)=Time(t) Work(W) In honor of physicist James Watt, the SI system of units uses the symbol W for power. Electric charge passes past a point in a circuit at a constant pace known as current. The rate at which an electric charge flows is defined as current. The potential difference in charge between two sites in an electrical field is known as voltage, also known as electromotive force.
Power= V*I
=110 *5
=550 watt
no. of lamps= 550/5
=11 lamps.
The maximum number of lamps that can be lighted at the same time without blow up of the fuse is 11.
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Explain why it’s much colder at the bottom of the pool than at the top. also describe what heat transfer processes is taking place
Heat transfer by radiation and convection causes the surface water of the pool to be warm which decreases with depth.
Why is it colder at the bottom of the pool than the top of the pool?
There are two heat transfer process responsible for variation in temperature of water at different depth of a pool, they include;
Heat transfer by radiationHeat transfer by convection Heat transfer by radiationThe surface of the water absorbs heat from the air and the sun. The heat from the sun is transferred to the pool through radiation.
Heat transfer by convectionThe heat from the air is transferred to the pool through convection.
Thus, these two heat transfer processes causes the surface water of the pool to be warm which decreases with depth.
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Which wavelengths will a person be able to see?
760 nm
800 nm
510 nm
300 nm
Answer:
380 to 700 nanometers.
Explanation:
What is the volume of a rock with a density of 45 g/mL and a mass of 855 grams?
Your answer must have units
The volume of the rock with a density of 45 g/mL and a mass of 855 grams is 19 ml
We know that,
ρ = m / V
where,
ρ = Density
m = Mass
V = Volume
Given that,
ρ = 45 g / ml
m = 855 g
V = 855 / 45
V = 19 ml
Density is the measure of amount of molecules present in substance. It is denoted by ρ. Its unit is usually g / ml.
Therefore, the volume of the rock with a density of 45 g/mL and a mass of 855 grams is 19 ml
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