Answer:
Initial velocity, u = 600km/h
Final velocity, v = 1100km/h
Acceleration = 10km/h/s=600km/h2
From relation,
a=t(v−u)
t=a(v−u)
t=600(1100−600)
=500/600=5/6 hr=50 sec
I need some help, please.
a ball of mass 0.285 kgkg that is moving with a speed of 5.8 m/sm/s collides head-on and elastically with another ball initially at rest. immediately after the collision, the incoming ball bounces backward with a speed of 3.5 m/sm/s .
The velocity of the target ball after the collision is 1.4 m/s and the the mass of the target ball is 1.832 kg.
Define the terms velocity and mass.
By taking into account how long it takes the body to move, we may relate these three using the concept of velocity, which always ensures that the body is in motion. Since mass is a constant quantity, it has no effect on the body's velocity, yet a body in motion has kinetic energy. The kinetic energy is proportional to both velocity and mass.
Let us consider m1 and m2, v'1 and v'2 be the initial masses and velocities respectively and m1 and m2, v1 and v2 be the masses and velocities after Collison.
By law of conservation of momentum,
m1v'1+m2v'2 + m1v1+m2v2
Substitute the known values,
v'1 = 5.2 m/s
v1 = 3.8 m/s
v'2 = 0
Therefore,
0.285×5.2+0 = 0.285×(-3.8)+m2v2
1.482+1.083 = m2v2
m2v2 = 2.565 kg m/s (1)
Inelastic collision kinetic energy of the system is conserved.
1/2 m1v'1^2+1/2 m2v'2^2 = 1/2 m1v1^2+1/2 m2v2^2
m1v'1^2+m2v'2^2 = m1v1^2+m2v2^2
0.285×(5.2)^2+ m2×0^2 = 0.285×(-3.8)^2+m2v2^2
7.7064+0 = 4.1154+m2v2^2
m2v2^2 = 7.7064 - 4.1154
m2v2^2 = 3.591 (2)
From equation (1) and (2)
m2v2 = 2.565 kg m/s
(m2v2)v2 = 3.591
(2.565)v2 = 3.591
v2 = 3.591/2.565 = 1.4 m/s
and
m2v2 =2.565 m/s
m2(1.4) = 2.565
m2 = 2.565/1.4 kg
m2 = 1.832 kg
Therefore, the velocity of the target ball after the collision is 1.4 m/s and the the mass of the target ball is 1.832 kg.
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The speed of sound in seawater is 1530 m/s. How long will it take for an
ultrasound signal to be transmitted and received after reflecting back from a
shoal of fish swimming at a depth of 200 m?
The Total time taken for the signal to be transmitted and received after reflecting is 0.261 seconds.
Speed of sound in seawater = 1530m/s.
Total distance travelled by the sound = 200m [ toward fish ] + 200m [ away from fish ]
Total distance = 400m
As, Speed = [tex]\frac{ Total Distance}{Total Time}[/tex]
Total Time = [tex]\frac{Total Distance}{Speed}[/tex]
Total Time = [tex]\frac{400}{1530}[/tex]
∴ Total time = 0.261 second
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Which of maxwell’s equations states that a changing magnetic field is produced by a changing electric field?.
Answer:
Maxwell-Ampere Law
Explanation:
I took from what I remembered
Hope this helps tho <3
A motorist is speeding along at 33m/s when he sees a squirrel on the road 200 meters in
front of him. He tries to stop, but it takes 12 seconds for his car to stop
(a) What is the acceleration of the car? (assume acceleration was constant)
(b) Does the squirrel survive?
(c) How fast was the car moving at 100 meters?
a) the acceleration of the car = -2.75 m/s
b) d = 198 meters. Therefore, the squirrel would survive.
c) the car moving at 100 meters with a speed of 23.22m/s
What is acceleration ?
acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
Use the kinematic equation to solve for the acceleration:
v = u +at
v = final velocity
u = initial velocity
a = acceleration
t = time
In this instance, the final velocity is 0 because he comes to a stop. We can solve for the acceleration by plugging in the given values:
0 = 33 + (12)a
0 = 33 + 12a
-33 = 12a
-33 / 12 = a --> a = -2.75 m/s²
b) Find the amount of distance necessary to stop. Use the formula:
v^2 = u^2 + 2ad
d = distance
Plug in the values:
0² = 33² + 2(-2.75 · d)
0 = 1089 - 5.5d
-1089 = -5.5d
d = 198 meters. Therefore, the squirrel would survive.
c)
Find the velocity at 100 meters by using the same formula as before:
v^2 = u^2 + 2ad
However, in this instance, we are solving for the final velocity. Plug in the given points to solve:
vf² = 33² + 2(-2.75 · 100)
vf² = 1089 + (-550)
vf² = 539
vf = √539
vf ≈ 23.22 m/s.
the car moving at 100 meters with a speed of 23.22m/s
a) the acceleration of the car = -2.75 m/s
b) d = 198 meters. Therefore, the squirrel would survive.
c) the car moving at 100 meters with a speed of 23.22m/s
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if l = load, f = fulcrum, and e = effort, what type of lever system is described as lef?
This type of system is a third class lever. FEL where fulcrum, effort and load comes in an arrangement.
Lever is a simple machine in which the fixed arms are arranged at a fixed point known as fulcrum. There are three types of lever system: first class Lever system, second class lever system and third class lever system. In the first class lever system there is an arrangement like the see saw. In this arrangement the fulcrum is in center and both the arms are like a seesaw. In the second class lever system, output force was between input force and fulcrum. In the third class lever system input force is between output force and fulcrum.
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Which two representations are most consistent with the model of an atom that uses probability to locate electrons?.
Two representations that are most consistent with the model of an atom that uses probability to locate electrons are :
1. Quantum mechanical model
2. Bohr's model
The probability of an electron is represented as electron probability function and is written as - 4πr2drψ2, where ψ is complex conjugate. The quantum mechanical model explains the probability of finding an electron in the three-dimensional space around the nucleus. It is based on solutions of the Schrödinger equation. The Schrödinger model assumes that the electron is a wave and describes the space regions where electrons are most likely to be found.
The energy E of the quantum is related to the frequency ν by E = hν, where h is Planck's constant.
Bohr's model consists of a small nucleus that is positively charged and surrounded by negative electrons moving around the nucleus in the orbit. Bohr found that an electron positioned away from the nucleus has more energy than the electron which is closer to nucleus.
l = nh /2π ; where,
l= angular momentum
n= principal quantum number
h=Planck's constant
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growing wheat for one loaf of bread takes about 435 liters of water. if your family eats three loaves a week, about how much water would be used each year to make bread for your family?
I need to get it done right now
Answer:
1loaf = 435litres of water
3loaf = 3045 litres of water
1305
In physics class, Anne is designing a small circuit that can operate a mixer. Identify the devices she should use in the circuit.
To operate a mixer circuit , Anne should use a (motor, buzzer, bulb, or battery) to transfer electric energy into motion. She should also use a (switch, resistor, buzzer, or bulb) to start and stop the flow of current.
An electric-powered circuit consists of a device that gives energy to the charged particles constituting the modern-day, consisting of a battery or a generator; devices that use cutting-edge, including lamps, electric cars, or computer systems; and the connecting wires or transmission traces.
An electrical circuit is an interconnection of electrical components or a version of such an interconnection, consisting of electrical elements. an electrical circuit is a network along with a closed loop, giving a go-back direction for the cutting-edge.
An electrical circuit consists of a source of electrical strength, two wires that can convey electric power present day, and a mild bulb. One stop of both the wires is hooked up to the terminal of a mobile at the same time as their free ends are related to the light bulb. the electric circuit is damaged while the bulb is switched off.
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If the distance between two objects is decreased to one fourth of the original distance, how will this decrease change the force of attraction between the objects?
If the distance between two objects is decreased to one fourth of the original distance, then the new force of attraction between the objects will be 16 times the initial force.
How to determine the new force of attractionFrom Newton's law of universal gravity, the force of attraction between two objects is given as:
F = GM₁M₂ / r²
Where
F is the force of attraction K is the electrical constant M₁ and M₂ are the masses of the objects r is the distance apartObtaining a relationship between the force of attraction and the distance, we have:
F = GM₁M₂ / r²
Cross multiply
Fr² = GM₁M₂
GM₁M₂ = constant
F₁r₁² = F₂r₂²
With the above formula, we can obtain the new force of attraction as follow:
Initial distance apart (r₁) = rInitial force of attraction (F₁) = FNew distance apart (r₂) = 1/4r = 0.25rNew force of attraction (F₂) =?F₁r₁² = F₂r₂²
F × r² = F₂ × (0.25r)²
Fr² = F₂ × 0.0625r²
Divide both side by 0.0625r²
F₂ = Fr² / 0.0625r²
F₂ = F / 0.0625
F₂ = 16F
Thus, the new force of attraction is 16 times the initial force.
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What is the density of a block of aluminum that has a volume of 15.0 cm3 and a mass of 40.5 g?
The density of a block of aluminum that has a volume of 15.0 cm³ and a mass of 40.5 g is 2.7 g/cm³ .
What is the density?Density is the mass of a material substance per unit volume. Its SI unit is k g /m³ . Mathematically it is given as,
d = M/V,
where d is density,
M is mass and V is volume
Grams per cubic centimeter are a typical unit of measurement for density. Density of a substance is the characteristics of that substance
The density of a block of aluminum that has a volume of 15.0 cm³ and a mass of 40.5 g is 2.7 g/cm³.
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can Science may be used to reassess a hypothesis?
Answer:
With new information you can form a new hypothesis.
Explanation:
A car traveling at 15m/s on a flat surface turns in a circle with a radius of 25m.What is the centripetal acceleration of the car?
ANSWER
[tex]9m\/s^2[/tex]EXPLANATION
To find the centripetal acceleration, we have to apply the formula for centripetal acceleration:
[tex]a=\frac{v^2}{r}[/tex]where v = velocity of the vehicle
r = radius of the circular path
Therefore, the centripetal acceleration is:
[tex]\begin{gathered} a=\frac{15^2}{25} \\ a=9m\/s^2 \end{gathered}[/tex]That is the answer.
Two cars drive in the same direction along a straight road, at a constant speed - one at 70 km/hr and the other at 80 km/hr. Assuming that they start at the same point and at the same time, how much sooner would the faster car arrive at a destination 460 km away? a. 49 minutes c. 5.75 hrs b. 6.6 hrs d. 741 minutes
The correct answer is 49 minutes. Option A.
A destination can describe where you are going. Travelers destined for Paris or any place is known for a particular purpose. B. A hip new music club for indie rock fans. A place where someone goes, or where something is sent or received. We arrive at our destination, tired and hungry.
The package arrived at its destination two days later. He likes to travel to remote and exotic places. By the time he reached his final destination, he passed through three states. A tourist destination is a city town or other area that is heavily dependent on tourism revenue or a rural city or place that is marketed as a tourist destination or markets itself.
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PLEASE HELP!!!! 2.1 Assignment magazine article
Directions: Imagine you have been hired as a fitness expert for a popular walking magazine. For next months issue, you have been asked to write an article to remind readers about the basic principles of exercise and how they apply to walking. Your article should be at least three paragraphs long. You may want to refer back to the lessons and the links in the “sprint” section.
You should include the following information in your article: A catchy title
Paragraph 1: Info about the importance of warm up and cool down
Paragraph 2: Tips on how to warm up and cool down
Paragraph 3: Explain how and when to stretch
Describe some good stretches for walkers.
type your article into the space provided below.
(PLEASE HELP YOU WILL GET BRAINLIST)
the basic principles of exercise is seen as the reasons why training frequently and regularly is crucial if you as a person want to enhance your performance and they are due to the principles of specificity, also progression, overload, adaptation, as well as reversibility. It apply to walking as it helps to improve balance.
What is the basic principles of exercise and its application about?The most crucial idea in exercise is thought to be the overload principle. Simply put, it indicates that your body will adjust to the demands you place on it.
For instance, physiological changes will occur when you lift a large weight that you haven't done before or when you finish a strenuous aerobic workout that places new demands on your heart and lungs, making it easier for you to do this the following time.
Your cardiovascular system is gradually revved up during a warmup by increasing body temperature and boosting blood flow to your muscles.
Warming up may also assist lower injury risk and muscular discomfort. After working out, you should cool down to allow your heart rate and blood pressure to gradually return to normal.
A Good Warm-Up and Cool-Down tips are:
Always begin with a vigorous warm-up.Before working out, get your blood moving.Following exercise, take a gentle stroll to gradually lower your heart rate.After your training, stretch your muscles in a static position.Before stretching, all the muscles need is five to ten minutes of gentle exercise, like a brief walk. After an aerobic or weight-training activity, you can stretch as well.
Lastly, The good stretches for walkers are:
Standing with your feet wide apart, perform the squatting leg-out adductor and groin stretch.Kneel on one foot and the other knee to stretch your hips and quads.Learn more about exercise from
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Now chose the option below that best completes this sentence: An ammeter is always connected in ____ because it has very ___ resistance
Now chose the option below that best completes this sentence: An ammeter is always connected in series because it has very low resistance.
For current, flow rate is inversely proportional to resistance and directly proportional to potential difference. Other flows include permeation, surface diffusion, and the diffusion of one gas through another. a System of Charges' Electric Potential Energy The amount of work required to form a system of charges by bringing them to their specific positions from infinity against the electrostatic force without any acceleration is equal to the system's electric potential energy. U is used to indicate it. The electric force per unit charge acting on a test particle at a specific location in space is represented by the electric field, which is a vector quantity. The electric field is a vector quantity because force is a vector.
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sunlight at a wavelength of 0.4 μm (micrometers) is absorbed (i.e. reduced) by about _____ percent by the atmosphere when it gets to the surface of the earth.
Sunlight at a wavelength of 0.4 μm (micrometers) is absorbed (i.e. reduced) by about 0 to 12 percent by the atmosphere when it gets to the surface of the earth.
Between 0.40 and 0.71 micrometers (m) is the wavelength of visible light. In this region, the sun only emits 44% of its total radiation. The spectrum of solar energy ranges from around 0.1 to 4.0 micrometers. The 0.1 to 0.4 micrometer wavelength range contains around 7% of the sun's radiation (UV). Near infrared radiation from the sun falls in the range of 0.71 to 1.5 micrometers, whereas far infrared radiation falls in the range of 1.5 to 4.0 micrometers.
Extraterrestrial radiation is solar radiation that occurs outside the earth's atmosphere. The extraterrestrial irradiation is typically 1367 W/m2. As the earth circles the sun, this number fluctuates by about 3%.
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what happens to total current flow if the voltage of a series circuit is doubled and the resistance stays constant?
The current (or flow of electrons) will rise in direct proportion to the voltage (or electrical pressure) in a circuit; for example, doubling the voltage will result in a doubling of the current flow.
What is current and voltage?Simply put, voltage—also known as electromotive force—is the amount of energy in one charge. Voltage, then, is the variation in electric potential between two places. Simply put, current is the pace at which electric charge flows.
Can current flow without voltage?Voltage is occasionally referred to as the "push" or "force" of the electricity; while this isn't quite accurate, it might help you visualize what is happening. Current cannot flow without voltage, yet voltage can exist without current.
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Group 1 finds that an electromagnet with 16 wraps of wire can lift 4 paper clips. What can they do to make the electromagnet lift more paperclips?
A
Spread the wire wraps farther apart
B
Move the battery farther from the electromagnet
C
Replace the nail with a wooden pencil
D
Add more wraps of wire around the nail
In order to make the electromagnet lift more paperclips, the group can add more wraps of wire around the nail; option D
What are electromagnets?Electromagnets are materials that work on the principle of electromagnetism.
Electromagnets possess both electric and magnetic properties and are produced as a result of the interaction of the electrical and magnetic fields.
The strength of electromagnets area affected by the following:
The rate of change of flux changeinresilience the field - the strength of electromagnets increases with electromagnetsincreasethe change in the rate of change of flux
the number of turns of the coil - the greater the turn of the ring, the stronger the electromagnetic field produced.
the material of the core - when the material of the core is made of good conductors, the strength of the electromagnetic field produced increases.
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solve the following
a)The relative density of lead is 11.3. The density of water is
1000kg/cm^3.What is the density of lead in an SI unit?
b)The relative density of iron is 7.8. What does it mean?
c) A block weighing 3.0 kg is in the shape of a cube of length 25 cm. It is kept on a horizontal table. Find the pressure on the portion of the table where the block is kept.
d)The pressure due to the atmosphere is 1.013 x 10^5Pa. Find the force exerted by the atmosphere on the top surface of a table 2.0 m long and 1.0 m wide.
e)A force of 15 N is uniformly distributed over an area of 150 m^2. Find the pressure in Pascal
f)Calculate the greatest and the least pressure exerted by a metal block of size 20 cm x 8 cm X 5 cm and has a mass of 5 kg.
The relative density of lead is 11.3 . If the density of water is 1000 kg / m³, then the density of the lad would be 11300 Kg / m³.
What is density?It can be defined as the mass of any object or body per unit volume of the particular object or body.
ρ = m /v
As for the given problem, The relative density of lead is 11.3. The density of water is 1000 kg / m³, then the density of the lad would be 11300 Kg / m³
The density of the lead = Relative density of lead × density of water
= 1000 × 11.3
=11300 kg / m³
Thus, the density of the lad would be 11300 Kg / m³ .
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A diver jumps off the 10 meter platform at a swim competition. They are moving 2 m/s horizontally as they leave the diving platform.
How long is the diver in the air?
What is the range?
What is the final vertical velocity?
The driver takes 1.43s in air. the horizontal range is 2.86m .the final vertical velocity is -14.014m/s.
What is horizontal range?It is the distance travelled by the projectile in the horizontal direction.
What is velocity?it is defined as the rate of change of displacement in a unit second.
unit of velocity is m/s.
mathematically,
v=s/t
Given,
A driver jumps off the 10 meter platform at a swim competition.
They are moving 2 m/s horizontally as they leave the diving platform.
Thus, Height = h = 10 m
initial velocity = u = 2m/s
Thus, according to the formula of time of descent if projectile fired horizontally,
t =√(2h/g)
t = √ {(2×10)/9.8}
t= 1.428 s
t = 1.43s
According to the formula of horizontal range,
x = u×√(2h/g)
x = u×t
x = 2×1.43 = 2.86m
According to the formula of vertical velocity,
v = -gt
v= -(9.8×1.43)
v = -14.014m/s
Hence, the driver takes 1.43s in air. the horizontal range is 2.86m .the final vertical velocity is -14.014m/s.
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The effiency of a single movable pulley is not 100% .Give 2 reason
The efficiency of a single movable pulley is not 100 % because the applied load is half of the load to be lifted.
MA = Fo / Fi
MA = Mechanical advantage
Fo = Output force
Fi = Input force
In a single movable pulley,
Fi = 0.5 Fo
MA = Fo / 0.5 Fo
MA = 2
Efficiency = MA * 100
Efficiency = 2 * 100
Efficiency = 200 %
A movable pulley does no have a fixed axis of rotation. In a movable pulley the forces are multiplied at the other end. So the effort required to pull the load is easier than a fixed pulley.
Therefore, the efficiency of a single movable pulley is not 100%
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Fill in the blanks.
The Law of Conservation of Energy
Energy is conserved by energy being transformed through (blank) or (blank).
Energy can change from one form to another, but (blank).
Energy cannot be (blank) or (blank).
Energy is conserved by energy being transformed through one form or different forms.
Energy can change from one form to another, but cannot be destroyed.
Energy cannot be created or destroyed.
What is the energy conservation law?Similar to this, according to the rule of conservation of energy, energy cannot be generated or destroyed. For instance, kinetic energy is converted to potential energy when a toy vehicle is rolled down a ramp and collides with a wall.
There are three fundamental quantities in mechanics that are preserved. They are power, forward motion, and angular momentum. It can come as a surprise to you that energy is a conserved quantity if you've read instances in prior pages, such the kinetic energy of charging elephants.
Solar heat energy from the sun is used by us.
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An outboard engine on a boat can do 1.0 * 10^6 J of work in 50.0 s. Calculate its power in watts. Convert your answer to horsepower.
The power in watts is 5 x 10⁷ watts and in horsepower is 67024. 128 Hp
Wattage is calculated by multiplying voltage in volts by the current in amperes. A current of 10 amps at 240 volts produces 2,400 watts of power. This means that if you double the voltage, you can deliver twice the power with the same current. For this conversion, multiply the energy consumption in kWh by 1,000 to get the energy consumption in watt-hours.
calculation:-
power = work x time
= 1.0 x 10⁶ x 50.0 s
= 5 x 10⁷ watts.
1 horsepower = 746 watts
5 x 10⁷ watts./746
= 67024. 128 Hp
Similar to DC circuits, the instantaneous power of AC circuits is given by P=VI. where V and I are the instantaneous voltage and current. Watts measures the percentage of power at a given point in time. Watt-hours measure the amount of power over a period of time one hour. Simply put, a watt-hour is equivalent to 1 watt of power flow for 1 hour. In other words, a 5-watt LED bulb left on for an hour consumes 5-watt hours of energy.
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at an instant when a soccer ball is in contact with the foot of a player kicking it, the horizontal or x component of the ball’s acceleration is 810 m/s2 and the vertical or y component of its acceleration is 1100 m/s2 . the ball’s mass is 0.43 kg. what is the magnitude of the net force acting on the soccer ball at this instant
Answer:
487.13N
Explanation:
According to Newton's second law;
F = ma
F is the net force
m is the mass of the object
a is the acceleration
First we need to find the resultant of the acceleration
a =√810²+910²
a = √656,100+828,100
a =√1,484,200
a = 1218.28m/s²
Ball mass = 0.40kg
Next is to get the magnitude of the net force
F = 0.4 × 1218.28
F = 487.31N
Hence the magnitude of the net force acting on the soccer ball at this instant is 487.13N
which two gases in earths atmosphere are believed by scientists to be greenhouse gases that are major contributors to global warming
A box slides down a 34° ramp with an acceleration of 1.20 m/s2. Determine the coefficient of kinetic friction between the box and the ramp.
The coefficient of kinetic friction between the box and the ramp if the box slides down a 34° ramp with an acceleration of 1.20 m/s² is 0.53
F = m a
F = Net force
m = Mass
a = acceleration
[tex]F_{k}[/tex] = μ[tex]_{k}[/tex] * N
[tex]F_{k}[/tex] = Kinetic frictional force
μ[tex]_{k}[/tex] = Co-efficient of kinetic friction
N = Normal force
Since the ramp is at an angle, resolving the gravitational force into its horizontal and vertical components.
[tex]F_{g} _{x}[/tex] = m g sin θ
[tex]F_{g} _{y}[/tex] = - m g cos θ
N = - [tex]F_{g} _{y}[/tex] = m g cos θ
a = 1.2 m / s²
θ = 34°
Forces acting in x-direction,
F = [tex]F_{g} _{x}[/tex] - [tex]F_{k}[/tex]
m a = ( m g sin θ ) - ( μ[tex]_{k}[/tex] * m g cos θ )
m * 1.2 = m ( 9.8 * sin 34° ) - m ( μ[tex]_{k}[/tex] * 9.8 * cos 34° )
1.2 = 5.49 - ( μ[tex]_{k}[/tex] * 8.13 )
μ[tex]_{k}[/tex] = 4.29 / 8.13
μ[tex]_{k}[/tex] = 0.53
Therefore, the coefficient of kinetic friction between the box and the ramp is 0.53
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A box has the dimensions of 50 cm × 30 cm × 15 cm, weighs 150 N, and is to be
placed on a fragile surface. The surface can only withstand a pressure of 0.25
N/cm?. Which faces of the box can be placed on the table?
The surface can only withstand a pressure Face A (50cm × 30cm) and Face C (50cm × 15cm) as the surface can only withstand a pressure of 0.25 N/cm³.
What is pressure?The physical force used to apply pressure to an object is defined as such. Per square inch of an object, a force is applied perpendicularly to its surface. For pressure, the fundamental formula is F/A. (Force per unit area). The Pascal is the unit of pressure (Pa).
The four different types of pressure are absolute, atmospheric, differential, and gauge pressure. Have you ever noticed that when you use a straw to drink something, the air actually gets suked out? In reality, you're applying "Pressure" as you drink the beverage.
A box has the dimensions of 50 cm × 30 cm × 15 cm
Let each face be A, B and C
The weight of the box = 150 N
Formula for pressure is
P = F/A
To find out which face of the box can withstand a pressure of 0.25 N/cm
we need find the area of each face and find its pleasure
Face A = 50 cm × 30 cm
Area A = l × b
= 50 × 30
= 1500 cm²
Pressure A = 150/1500
= 0.1 N/cm³
0.25 > 0.1
The surface can definitively withstand the pressure of Face A
Face B = 30 cm × 15 cm
Area A = l × b
= 30 × 15
= 450 cm²
Pressure A = 150/450
= 0.3 N/cm³
0.25 < 0.3
The surface could not withstand the pressure of Face B
Face C = 50 cm × 15 cm
Area A = l × b
= 50 × 15
= 750 cm²
Pressure A = 150/750
= 0.2 N/cm³
0.25 > 0.2
The surface can definitively withstand the pressure of Face C
Thus, The surface can only withstand a pressure Face A (50cm × 30cm) and Face C (50cm × 15cm) as the surface can only withstand a pressure of 0.25 N/cm³.
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A helicopter takes off and travels forward at an angle of 59.4 degrees above horizontal. After following this path for 294 meters, the pilot changes the angle of flight to 10.5 degrees above horizontal and follows this path for 849 meters. After these two legs, what is the helicopter’s horizontal distance from the point of take off?
985m
447m
408m
964m
The helicopter's horizontal distance from the point of takeoff is 979 m after the two legs.
For the first leg,
The length of the path is d = 294 m and the helicopter takes off at an angle of θ = 59.4°
Then,
dₓ = d cos θ
dₓ = 294 × cos 59.4°
dₓ = 147 m
For the second leg,
The length of the path is:
d = 849 m
and the angle of flight is θ = 10.5°.
So,
dₓ = d cos θ
dₓ = 849 × cos 10.5°
dₓ = 832 m
Therefore,
The total horizontal distance will be:
= dₓ ( 1st leg ) + dₓ ( 2nd leg )
= 147 + 832
= 979 m
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a 1350-kg car with a speed of 61.5 km/h brakes to a stop (with no skidding). (a) how much thermal energy is generated by the brakes as a result? give your answer in joules. j (b) answer the same question in kilocalories rather than joules. kcal
a ) Thermal energy generated by the brakes as a result = 197.4 KJ
b ) In kilocalories = 41 Kcal
KE = 1 / 2 m v²
KE = Kinetic energy
m = Mass
v = Velocity
m = 1350 kg
v = 61.5 km / h = 17.1 m / s
KE = 1 / 2 ( 1350 * 17.1 * 17.1 )
KE = 197376.75 J
KE = 197.4 KJ
To convert a kilojoule value to a kilocalorie value, divide the kilojoule value by 4.814
KE = 197.4 KJ
KE = 197.4 / 4.814
KE = 41 Kcal
Therefore,
a ) Thermal energy generated by the brakes as a result = 197.4 KJ
b ) In kilocalories = 41 Kcal
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