Answer:
a) v = 4.9 m/s at 62° above the horizontal
b) h = 0.94 m above the board or 4.94 m above the water
c) v = 10 m/s at 77° below the horizontal
Explanation:
Assume UP and FOREWARD are positive and the diving board is the origin.
Ignore air resistance.
s = s₀ + v₀t + ½at²
In the vertical
-4 = 0 + vy₀(1.3) + ½(-9.8)(1.3²)
vy₀ = 4.281 m/s
in the horizontal
3.0 = 0 + vx₀(1.3) + ½(0)(1.3²)
vx₀ = 2.307... m/s
v = √(4.281² + 2.307²) = 4.863...
tanθ = 4.281 / 2.307
θ = 61.680...
v² = u² + 2as
s = (v² - u²) / 2a
h = (0² - 4.281²) / 2(-9.8) = 0.9350...
v² = 4.863² + 2(9.8)(4)
v = 10.1019...
cosθ = 2.307/10.1019
θ = 76.798
(a) The initial velocity of Samuel is 4.02 m/s
(b) The maximum height reached by Samuel is 0.55 m
(c) The final velocity when he enters the water is 5.20 m/s
The given parameter:
the height of the board, h = 4 mtime to strike the water, t = 1.3 sthe horizontal distance traveled, x = 3.0 m(a) The initial velocity of Samuel is calculated as;
[tex]h = v_o_y t + \frac{1}{2} gt^2\\\\[/tex]
Assume downward motion to be in negative direction
The vertical component of the velocity is calculated as;
[tex]4 = 1.3\times v_0_y + 0.5\times 9.8\times 1.3^2\\\\4 = 1.3v_{0y} + 8.281\\\\1.3v_{0y} = 4- 8.281\\\\1.3v_{0y} = -4.281\\\\v_{0y} = \frac{-4.281}{1.3} \\\\v_{0y} = -3.293 \ m/s\\\\v_{0y} = 3.293 \ m/s \ \ \ (downwards)[/tex]
The horizontal component of the velocity is calculated as;
Assume forward motion to be in positive direction
[tex]x = v_{0x}t \\\\3 = 1.3v_{0x}\\\\v_{0x} = \frac{3}{1.3} \\\\v_{0x} = 2.308 \ m/s[/tex]
The resultant of initial velocity is calculated as;
[tex]v_0 = \sqrt{v_{0y}^2 + v_{0x}^2} \\\\v_0 = \sqrt{3.293^2 + 2.308^2} \\\\v_0 = \sqrt{16.17} \\\\v_0 = 4.02 \ m/s[/tex]
(b) The maximum height reached by Samuel is calculated as;
[tex]v_f_y^2 = v_0_y^2 + 2gh\\\\at \ maximum \ height \ v_{fy} = 0\\\\0 = v_0_y^2 + 2gh\\\\-2gh = v_0_y^2\\\\h = \frac{v_0_y^2}{-2g} \\\\h = \frac{(3.293)^2}{-2\times 9.8} \\\\h = -0.55 \ m\\\\h = 0.55 \ m \ (downwards)[/tex]
(c) The final velocity when he enters the water;
The height traveled before he hits the water, h = 0.55 m
[tex]v_f^2 = v_{0}^2 + 2gh\\\\v_f^2 = (4.02)^2 + (2\times 9.8\times 0.55)\\\\v_f^2 = 26.94\\\\v_f = \sqrt{26.94} \\\\v_f = 5.20 \ m/s[/tex]
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two car moving in the same direction have speed of 100km/h-1 and 130km/h.what is the resultant of velocity .shoe carnival in the same direction having speed of 100 km per hour - 1 and 130 km per hour to kilometre-per-hour - 1
Answer:
jjjjjjhshahshhddhdhh
multiples and submultiples of kg
Answer:
Submultiples of kilogram are decagram ,centigram etc. And multiples of kilogram is megagram(1 tonne) , gigagram etc.
hope this helps you:)
Select the best answer for the question.
17. How many mL of HEPARIN 10,000 units/mL are needed for a 7,000 unit dose?
O A.0.7
O B. 0.07
O C.7
O D. 0.007
0.7 mL of HEPARIN 10,000 units/mL is needed for a 7,000 unit dose.
To calculate the volume of HEPARIN 10,000 units/mL needed for a 7,000 unit dose, we can use the formula:
Volume (mL) = Dose (units) / Concentration (units/mL)
Given that the dose is 7,000 units and the concentration of HEPARIN is 10,000 units/mL, we can plug these values into the formula:
Volume (mL) = 7,000 units / 10,000 units/mL
Volume (mL) = 0.7 mL
So, 0.7 mL of HEPARIN 10,000 units/mL is needed for a 7,000 unit dose. However, none of the provided answer choices match exactly with 0.7 mL. The closest option is B. 0.07 mL, which is one-tenth of 0.7 mL. Therefore, the correct answer is B. 0.07 mL.
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What is motion please explain with diagram
Answer:
An object in a motion when it is continuously changing its position based on a reference point and observed by a person or a device.
I need some help, this is going to be late.
Answer:
gravitational force
Explanation:
since they seem like they are falling, gravity usually pulls them down
i think its gravitational force
Convert 4 centimeters to meters using dimensional analysis and scientific notation. Please go step by step as I am having difficulty with this subject.
Answer:
[tex]thank \: you[/tex]
Jo, Daniel and Helen are pulling a metal ring. Jo pulls with a force of 100N in one direction and Daniel with a force of 140N in the opposite direction. If the ring does not move, what force does Helen exert if she pulls the same direction as jo?
Answer:
she is pulling with 40 N force
Explanation:
The ring does not move means that the forces are equal.
Let's call Jo's force x
We have the quation
140 = x + 100
x = 40
An astronaut floating in space is trying to use her jetpack to get back to her space station, but she is being pulled away by a nearby planet, as shown in the image below. Her jetpack provides a constant thrust of 165 N. If she angles her jetpack in such a way that it cancels out the vertical force due to the planet's gravity, what is her net horizontal force?
A. 132.6 N toward the space station
B. 53.3 N away from the space station
C. 98.5 N toward the space station
D. 112.8 N away from the space station
Answer:
C. 98.5N toward the space station
Explanation:
Fx= Fjet×cos(20) - Fplanet × cos(45) = 98.5
Because the result is positive so she is going toward the space station
A probability of breaking a tree is more than a short one during storm.why?
Answer:
Due to interia of motion
Two electric bulbs marked 25W – 220V and 100W – 220V are connected in series to a 440Vsupply. Which bulbs will fuse?
Answer:
25 W bulb will fuse.
The voltages will divide their ratios between the bulbs if we were to connect them.
How net current on a toroid is zero?
Answer:
The concept of zero net current in toroid occurs when we try to determine magnetic field induction outside toroid.
to determine magnetic field outside toroid, we consider a circular loop outside toroid as shown in figure.
to get the net enclosed current inside the loop, let us consider the crosssection AA' in toroid as shown in figure
as we see the crosssection AA' part of figure, we see that currents in the winding are in opposition directions at near to the loop
and far away from loop. Hence the concept of net current zero occurs in toroid when we try to determine
magnetic field induction outside toroid.
Have a Good day...
Two long straight parallel wires seperated by 20cm apart carry current of 20A and 1OA in opposite directions. What is the magnitude of the force on 1m length of the 20A wire
Answer:
Force is 2 × 10^-4 N
Explanation:
[tex]{ \bf{F = \frac{ \gamma_{o} I _{1} I _{2} l}{2\pi r} }}[/tex]
F is force
I is current
r is separation distance
gamma is a constant
l is wire length
[tex]F = \frac{(4\pi \times {10}^{ - 7}) \times (20) \times (10) \times 1 }{2\pi \times 0.2} \\ \\ F = 2 \times {10}^{ - 4} \: \: newtons[/tex]
The magnitude of the force on 1m length of the 20A wire is 2×10⁻⁴N.
To determine the answer, we need to know about magnetic field due to a current carrying wire and magnetic force.
What is the magnetic field produced due to a straight current carrying wire of current I₁?The magnetic field due to a straight wire having current I₁ at a perpendicular distance (say) 'd' is μ₀I₁ / 2[tex]\pi[/tex]d.
What is the magnetic force experienced by a straight wire of current I₂?Magnetic force on a current carrying wire of length 'L' and having current I₂ is I₂(L×B). Where B is the magnetic field at that wire.
What is the magnetic field on 20A wire due to 10A wire?d= 0.2m and I₁= 10AB= μ₀I₁ / 2[tex]\pi[/tex]d = 4[tex]\pi[/tex] ×10⁻⁷× 10/ 2[tex]\pi \\[/tex]×0.2 = 10⁻⁵ TWhat is the force on 20A wire?Current (I₂) = 20A, B = 10⁻⁵T and L= 1mMagnitude of force on the 20 A wire of length 1m = I₂×L×B( Here L and B are perpenicular to each other so L×B= L·B)
= 20×1×10⁻⁵
=2×10⁻⁴N
Thus, we can conclude that the magnitude of the force on 1m length of the 20A wire is 2×10⁻⁴N.
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Use the following information to calculate the speed of sound. A 2m long tube of air, closed at one end and open at the other, is excited using a speaker. Successive resonances/harmonics are observed to occur at 129, 215 and 301 Hz (Note: 129 Hz is not necessarily the fundamental frequency). Make sure you clearly show how you get your answer
Successive resonances/harmonics are observed to occur at 129, 215 and 301 Hz (Note: 129 Hz is not necessarily the fundamental frequency). the speed of sound is 76 added to 129 is 215
what is sound ?The pitch of the sound is a major property where the frequency of sound occur by human ear within the range of human hearing.
It is higher than the frequency of the sound where the higher is its pitch and a lower frequency means a lower pitch.
The loudness of sound is another property which can be determined by amplitude of the sound is a measure of the magnitude of the maximum disturbance of sound.
The speed is another property can be detrained as the sound waves which can travel through the medium is called the speed of sound and it is different for different mediums, travels fastest in solids.
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How much time does a train take to travel1800 km if it's velocity is 90km/hr
Explanation:
Time= Distance÷Velocity
Time= 1800÷90
Time= 20 hr
20×60= 1200 min
hey friends give me the solution to attachment
Answer:
downwards bro now dodododododdodo
Answer:
[tex]vertically \: downward \\ to \: the \: cenre \: of \: earth \\ thank \: you[/tex]
4. The modern particle theory of matter was generally accepted
in what century? Whose concept of matter was overturned by
this revolution in science?
Answer:
the modern particle theory of matter was accepted in the mid-ninteenth century. Aistotle's continoues theory of matter was overturned. They gave matter order and determine many of its properties. your welcome :)
The boiling point of lauric acid is 298.9°C. Its melting point is 43.2°C. At room temperature (~25°C), lauric acid is in which state?
A. solid
B. intermediate between solid and liquid
C. liquid
D. intermediate between liquid and gas
Answer
A. solid
Explanation
We have that At room temperature (~25°C), lauric acid is in a
Solid state
Option A
From the question we are told that
The boiling point of lauric acid is 298.9°C. Its melting point is 43.2°C.
It is important to note that Room temperature is is at 25C
Generally
if lauric acid 298.9°C and melting point is 43.2°C
Therefore at room temperature low than Boiling and melting point lauric acid is
Solid
in conclusion
At room temperature (~25°C), lauric acid is in a Solid state
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A car accelerates from rest at a rate of 8.1 m/s2. How much time does it take the car to travel a distance of 65 meters?
Answer:
ोोञककतकषगकषषमषघ
Explanation:
zzjjjfkgkzgkggkkkammmmmmatAllzy##pglCsg
Yellow light passes through a diffraction grating. it's first order maximum occurs at an angle of 21.2. What is the slit separation d?
Answer:
19.284
or
9.33
Explanation:
Answer:
1.66
Explanation:
Found answer on chegg. Works for acellus
By how many times will the kinetic energy of a body increase if its speed is tripled? Show by calculation.
Answer:
9 times more kinetic energy
Explanation:
KE₀ = ½mv²
KE₁ = ½m(3v)² = 9(½mv²) = 9KE₀
wite a paragraph explaining the difference between things that have matter and things that don't have matter.
Answer: Matter is how much space or opacity an object takes up. In short anything that take up space. Things like balls, trees, and even people are all made of matter. Mass is how much matter a object has. Air also has mass also, even though we can't see it. Things like cars, buildings, even planets have mass.
Explanation: Paragraphs are sometimes 4-6 sentences.
5 The diagram shows a quantity of gas enclosed in a cylinder by a piston.
moves to the left
gas
+moves to the right
cylinder
piston
The piston is moved to the left or to the right. The temperature of the gas is kept constant
Which row describes the effect of moving the piston slowly in the direction shown in the table?
movement
of piston
speed of gas
molecules
pressure
of gas
A
to the left
increases
decreases
B
to the left
no change
increases
с
to the right
to the right
dreases
debebas
increases
D
no change
6 What causes the random, zig-zag movement (Brownian motion of smoke particles susne ded in
Answer:
A to the left increases and decreases
How far will a bus travel if it averages a speed of 65 km/h for 7 hours?
What are you solving for?
What’s the equation?
Show work!
distance= speed*time
distance=65*7=455km
two projectile are thrown at the same intial velocity the angle of the one is theta ,the angle of the oher is 90-theta /can both projectile strict the ground at the distance and time interval of both when they are in arir?
Answer:
Yes, if θ = 45°
Explanation:
1.Name any two part of a flower?
2.write SI unit and fundamental unit of force, power and volume?
Explanation:
s.i unit of force is kgm/s²
dimensions of force is ML/T²
s.i unit of power kgm²/s³
dimension of power is ML²/T³
s.i unit of volume is m³
the dimension of volume is L³
what change occurs to the gravitational force of attraction between two bodies when the distance between them is made half 1 by 2 by keeping masses constant
Explanation:
Since the gravitational force is inversely proportional to the square of distance, changing the distance to half the original results in 4 times the original force
Read the following paragraphs, then answer the question on the right.
After handling contaminated dog food, fourteen people in nine states became ill from salmonella. According to the Centers for Disease Control and Prevention (CDC), the people who got sick had given that same contaminated dog food to their pets. At least five people were taken to a hospital, but the incident did not affect any of their dogs.
When people handle contaminated pet food and do not wash their hands well before eating or handling food, they can become ill with salmonella.
The plant that made the dog food was closed while the issue was investigated. The same plant had made food that was recalled by the pet food company four different times in the previous five months. Upon reopening the plant, the company issued a statement that it had taken action to fix the problems.
The cause of the illness was?
A.Not washing hands
B.Salmonella on dog food
C.Unknown
Answer:
i think the answer was
B.Salmonella on dog food
The cause of the illness was Salmonella on dog food, therefore the correct answer is option B.
What is science?Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.
As stated in the article, the dog food manufacturing facility was shut down while the situation was looked into.
Four times in the preceding five months, the pet food manufacturer had to recall food that was produced at the same factory.
The business said in a statement after reopening the facility that it has taken steps to address the issues caused by Salmonella in dog food.
Thus, the cause of the illness was Salmonella on dog food, therefore the correct answer is option B.
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What is the mass of a body? How is it measured?
The mass of a body is a measure of its inertial property or how much matter it contains.
Body mass index (BMI) is a measure of body fat based on height and weight that applies to both adult men and adult women. To determine BMI, weight in kilograms is divided by height in meters, squared
Mass is both a property of a physical body and a measure of its resistance to acceleration (rate of change of velocity with respect to time) when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies.
How is it measured?Mass is measured in kilogram.
What is used to measure it?To measure mass, we usually use a balance. In the lab, mass may be measured with a triple beam balance or an electronic balance. But an old fashioned beam balance gives the most accurate value.
Hope it helps you... pls mark brainliest if it helps you1. A leftward force is used to pull a large wagon. In the wagon there is an unknown mass
that makes it very difficult to move, but a force applied is able to set the wagon into
constant motion. Let the force applied to the wagon and its unknown mass be 77.3 N. The
coefficient of friction between the wagon's wheels and the floor is 0.011. Determine the
mass of the wagon if it was empty.
i. Let's say that the unknown mass in the wagon is 95.5% * mass of the
wagon. What is the weight of the wagon when its empty and what is the
weight of the unknown mass?
Answer:
Wagon weight 366.41314(9.81) = 3,594.5129 = 3590 N
Load weight 349.9245(9.81) = 3,432.75982 = 3430 N
Explanation:
Let's assume the surface and the applied force are horizontal.
At constant motion, the friction force must balance the applied force
(from F = ma)
Ff = 77.3
μΝ = 77.3
μmg = 77.3
m = 77.3 / (0.011(9.81))
m = 716.3376... kg
Let M be the mass of the wagon
M + 0.955M = 716.3376
M(1.955) = 716.3376
M = 366.41314...kg
0.955 M = 349.9245... kg
round to the three significant digits of the question numerals.
the precision of interferometer of wavelength of light 800 nm would be: (a) 200 nm (b) 100 nm (c) 400 nm (d) 800 nm
Answer:
Explanation:
Did this come with a Picture?
