A model rocket flies horizontally off the edge of a cliff at a velocity of 80.0m/s. If the canyon below is 128.0 m deep, how far from the edge of the cliff does the model rocket land?
a. 112m
b. 225m
c. 337m
d. 409m
Answer:
c. 337
Explanation:
can someone answer my question
A 60 cm diameter wheel accelerates from rest at a rate of 7 rad/s2. After the wheel has undergone 14 rotations, what is the radial component of the acceleration (in m/s2) on the edge the wheel?
Answer:
[tex]a=368.97\ m/s^2[/tex]
Explanation:
Given that,
Initial angular velocity, [tex]\omega=0[/tex]
Acceleration of the wheel, [tex]\alpha =7\ rad/s^2[/tex]
Rotation, [tex]\theta=14\ rotation=14\times 2\pi =87.96\ rad[/tex]
Let t is the time. Using second equation of kinematics can be calculated using time.
[tex]\theta=\omega_it+\dfrac{1}{2}\alpha t^2\\\\t=\sqrt{\dfrac{2\theta}{\alpha }} \\\\t=\sqrt{\dfrac{2\times 87.96}{7}} \\\\t=5.01\ s[/tex]
Let [tex]\omega_f[/tex] is the final angular velocity and a is the radial component of acceleration.
[tex]\omega_f=\omega_i+\alpha t\\\\\omega_f=0+7\times 5.01\\\\\omega_f=35.07\ rad/s[/tex]
Radial component of acceleration,
[tex]a=\omega_f^2r\\\\a=(35.07)^2\times 0.3\\\\a=368.97\ m/s^2[/tex]
So, the required acceleration on the edge of the wheel is [tex]368.97\ m/s^2[/tex].
The radial component of the acceleration (in m/s2) on the edge the wheel is 369.45 m/s²
Using ω² = ω₀² + 2αθ, we find the final angular speed after 14 revolutions, ω where
ω₀ = initial angular speed = 0 rad/s (since the wheel starts from rest), α = angular acceleration = 7 rad/s and θ = number of revolutions = 14 = 14 rev × 2π rad/rev = 87.965 rad.So, substituting the values of the variables into the equation, we have
ω² = ω₀² + 2αθ,
ω² = (0 rad/s)² + 2 × 7 rad/s² × 87.965 rad.
ω² = 0 rad²/s² + 1231.504 rad²/s²
ω² = 1231.504 rad²/s²
ω = √(1231.504 rad²/s²)
ω = 35.09 rad/s
We know that the radial acceleration a = rω² where
r = radius of wheel = diameter of wheel/2 = 60 cm/2 = 30 cm = 0.30 m and ω = final angular acceleration of wheel = 35.09 rad/s.So, substituting the values of the variables into the equation, we have
a = rω²
a = 0.30 m × (35.09 rad/s)²
a = 0.30 m × 1231.504 rad²/s²
a = 369.45 m/s²
So, the radial component of the acceleration (in m/s2) on the edge the wheel is 369.45 m/s².
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What is the available energy content, in joules, of a battery that operates a 2.00-W electric clock for 18 months
Answer:
93312000 Joules
Explanation:
Energy can be explained as the capacity for doing work. And can be expressed as
E= pt....................eqn(1)
Where
E= Energy in Joules
P= power in Watt= 2.00W
t= time in seconds
Time= 18 months, which can be converted to "seconds" as;
18 months = [ 18 monthsx 30 days x 24 hours x 60 min x 60 sec] = 46656000
Then
time= 46656000 seconds
Power=2 watt
If we substitute into equation (1) we have
Energy = 2 watt × 46656000 seconds
Energy= 93312000 Joules
51. If two cylinders of dissimilar geometry are connected together to form a closed hydrostatic system, why would one cylinder piston travel a greater distance than the other
Answer:
see that for the same pressure the displaced height in each cylinder is different because its diameter is different. Pascal's principle
Explanation:
The pressure on a system is given by the relations
P = ρ g h
P = F / A
where ρ is the density of the liquid, h the height and A the area
The expressions above we see that if for the same height the pressure is the same regardless of the shape of the cylinder.
With the second expression we see that if the system has a different area, the pressure is
P = [tex]\frac{F_{1} }{A_{1} } = \frac{F_{2} }{A_{2} }[/tex]
where we use subscript 1 for one body and subscript 2 for the other body
F₁ = [tex]\frac{A_{1} }{A_{2} } F_{2}[/tex]
The cylinder displacement is
V = A h
where V is the volume and h the height, in general the liquids are incompressible therefore the displaced volume is constant in the two bodies
V = A₁ h₁ = A₂ h₂
[tex]\frac{A_{1} }{A_2} = \frac{h_2}{h_1}[/tex]
we substitute
F₁ = [tex]\frac{h_2}{h_1}[/tex] F2
From here we see that for the same pressure the displaced height in each cylinder is different because its diameter is different.
If the diameter is the same, the offset height is the same
What force (in N) must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2100 kg car (a large car) resting on the slave cylinder
Complete Question:
What force (in N) must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2100 kg car (a large car) resting on the slave cylinder ? The master cylinder has a 2.00-cm diameter and the slave has a 24.0-cm diameter
Answer:
[tex]F_1 = 142.92N[/tex]
Explanation:
Given
[tex]m = 2100kg[/tex] --- mass
[tex]D_1 = 2.00\ cm[/tex] --- diameter of the large cylinder
[tex]D_2 = 24.0\ cm[/tex] --- diameter of the slave cylinder
To do this, we apply Archimedes' principle of buoyancy which implies that:
[tex]P = \frac{F_1}{A_1} = \frac{F_2}{A_2}[/tex]
Where
[tex]F_1 = Force\ on\ the\ master\ cylinder[/tex]
[tex]F_2 = Force\ on\ the\ slave\ cylinder[/tex]
[tex]A_1 = Area\ of\ the\ master\ cylinder[/tex]
[tex]F_2 = Area\ of\ the\ small\ cylinder[/tex]
Calculating the area of the master cylinder.
[tex]A_1 = \pi r_1^2[/tex]
[tex]r_1 = \frac{1}{2}D_1 = \frac{1}{2} * 2.00cm = 1.00cm[/tex]
[tex]A_1 = \pi* 1^2[/tex]
[tex]A_1 = \pi * 1[/tex]
[tex]A_1 = \pi[/tex]
Calculating the area of the slave cylinder.
[tex]A_2 = \pi r_2^2[/tex]
[tex]r_2 = \frac{1}{2}D_2 = \frac{1}{2} * 24.00cm = 12.00cm[/tex]
[tex]A_2 = \pi* 12^2[/tex]
[tex]A_2 = \pi* 144[/tex]
[tex]A_2 = 144\pi[/tex]
Substitute these values in:
[tex]P = \frac{F_1}{A_1} = \frac{F_2}{A_2}[/tex]
[tex]\frac{F_1}{\pi} = \frac{F_2}{144\pi}[/tex]
Multiply both sides by [tex]\pi[/tex]
[tex]\pi * \frac{F_1}{\pi} = \frac{F_2}{144\pi} * \pi[/tex]
[tex]F_1 = \frac{F_2}{144}[/tex]
The force exerted on the slave cylinder (F2) is calculated as:
[tex]F_2 = mg[/tex]
[tex]F_2 = 2100 * 9.8[/tex]
[tex]F_2 = 20580[/tex]
Substitute 20580 for F2 in [tex]F_1 = \frac{F_2}{144}[/tex]
[tex]F_1 = \frac{20580}{144}[/tex]
[tex]F_1 = 142.92N[/tex]
Hence, the force exerted on the master cylinder is approximately 142.92N
A sports car accelerates from rest to 42 m/s in 6.2 s, what is its acceleration? (6.8 m/s) with proof please
Answer:
Explanation:
As the car Started from rest means that Initial Velocity "Vi = 0 m/s" and final Velocity is given "Vf = 42m/s". Time is given "t = 6.2s"
Acceleration is required a =?
Use Formula;; a = [tex]\frac{Vf-Vi}{t}[/tex]
a = [tex]\frac{42-0}{6.2}[/tex]
a = 6.7741 m/s² ≈ 6.8 m/s²
Mark me as brainliest if you got it...
Define joule conversion factor?
Explanation:
Joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre. ... In electrical terms, the joule equals one watt-second—i.e., the energy released in one second by a current of one ampere through a resistance of one ohm.
Question:Which kind of nuclear decay is shown below? Please answer!!!
Answer:
This is alpha decay
Explanation:
Automobiles must be able to sustain a frontal impacl The automobile design must allow low speed impacts with little sustained damage, while allowing the vehicle front end structure to deform and absorb impact energy at higher speeds. Consider a frontal impact test of a 1000 kg mass vehicle. (a) For a low speed test at 2.5 rnls, compute the energy in the vehicle just prior to impacl If the bumper is a pure elastic element, what is the effective design stiffness required to limit the bumper maximum deflection during impact to 4 em
Answer: the effective design stiffness required to limit the bumper maximum deflection during impact to 4 cm is 3906250 N/m
Explanation:
Given that;
mass of vehicle m = 1000 kg
for a low speed test; V = 2.5 m/s
bumper maximum deflection = 4 cm = 0.04 m
First we determine the energy of the vehicle just prior to impact;
W_v = 1/2mv²
we substitute
W_v = 1/2 × 1000 × (2.5)²
W_v = 3125 J
now, the the effective design stiffness k will be:
at the impact point, energy of the vehicle converts to elastic potential energy of the bumper;
hence;
W_v = 1/2kx²
we substitute
3125 = 1/2 × k (0.04)²
3125 = 0.0008k
k = 3125 / 0.0008
k = 3906250 N/m
Therefore, the effective design stiffness required to limit the bumper maximum deflection during impact to 4 cm is 3906250 N/m
what happen to kinetic energy of a body if it speed is doubled
Answer:
The energy possessed by a body because of its motion, equal to one half the mass of the body times the square of its speed is called its kinetic energy. Hence, when velocity is doubled, kinetic energy becomes 4 times.
Explanation:
The largest planet in the solar system is Jupiter,with a diameter of 71,398 km. What is the diameter of Jupiter in centimeters?
Answer:7139800000
Explanation:
The largest planet in the solar system is Jupiter. Its equatorial diameter is approximately 143,000 kilometres (ca. 88,856 mi miles).
What diameter of Jupiter in centimetres?Jupiter is a gas giant because it consists largely of gas and liquid, as opposed to solid substance. With an equator diameter of 142,984 kilometres (88,846 mi), it is the solar system's biggest planet.
About 80% of Jupiter is hydrogen, and 20% is helium. Over a solid core, a thick layer of liquid hydrogen is covered by swirling gas. At 1,000 kilometres below the cloud layer's outer edge, there is a lot of pressure. The hydrogen gas changes into a liquid there.
Therefore, By squaring the scale factor for length, the scale factor for area may be calculated. Consequently, s2 is the scale factor for area. If the situation is the opposite, a solution to the issue under investigation is offered. The area scale factor is 2.
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Collision practice
Running at 2.0 m/s, Bruce, the 45.0-kg quarterback, collides with Biff, the 90.0 kg tackle, who is traveling at 7.0 m/s in the other direction. Upon collision,
Biff wraps up Biff for the tackle. What is the resultant velocity of the players.
V=————— m/s
Answer:
[tex]v_f=4\:\mathrm{m/s\: in\:Biff's\:direction}[/tex]
Explanation:
Using the Law of Conservation of Momentum, we can set up the following equation:
[tex]m_2v_2-m_1v_1=m_fv_f[/tex], where [tex]m_1v_1[/tex] is Bruce's momentum and [tex]m_2v_2[/tex].
Plugging in given values, we get:
[tex]90\cdot7-45\cdot2=(90+45)v_f, \\v_f=\frac{540}{135}=\fbox{$4\:\mathrm{m/s}$}[/tex].
A 12.0-kg box is being pushed from the bottom to the top of a frictionless ramp. When the box is pushed at a constant velocity, the non-conservative pushing force does 58.0 J of work. How much work is done by the pushing force when the box starts from rest at the bottom and reaches the top of the same ramp with a speed of 1.50 m/s
Answer:
work done = 71.5 J
Explanation:
Given that,
Energy = Fifty eight J
Mass of box = 12.0 Kg
Speed = 1.5 m/s
U = work done
The external force acts solely on the box and also the earth system. conjointly note that the work done by external force
= modification of energy of the system
U = work done - K
Also recall that the box is moving with constant speed therefore, there will not be modification in acceleration, hence, there'll be no modification in K.E..
Therefore, K is adequate to zero.
K= 0
U = work done = energy
U = 58.0 J
work done by pushing force = K + U
work done = final K.E. - initial K.E. + U ........1
Initial K.E. = zero
Substitute the mandatory values into equation one
work done = 1/2m v² - zero + U
work done= 0.5 x 12.0 x 1.5² + 58.0
= 13.5+58.0
work done = 71.5 J
The world one by the pushing force is 71.5 J
Power is measured in unit of Joules per second or
a) seconds
b) hertz
c) joules
d) watts
e) newtons
An egg is thrown nearly vertically upward from a point near the cornice of a tall building. It just misses the cornice on the way down and passes a point a distance 50.0 mm below its starting point at a time 5.00 ss after it leaves the thrower's hand. Air resistance may be ignored.
1. What is the initial speed of the egg?
v=?m/s
2. How high does it rise above its starting point
h=?m
3. What is the magnitude of its velocity at the highest point?
v=?m/s
4. What is the magnitude of its acceleration at the highest point?
a=?m/s^2
Answer:
Explanation:
Displacement ( downwards ) = 50 m , initial speed = - u (upwards ) ,
time = 5 s .
acceleration due to gravity( downwards) = 9.8 m /s² .
s = ut + 1/2 g t²
50 = - 5 u + .5 x 9.8 x 5²
50 = -5u + 122.5
5u = 122.5 - 50
u = 14.5 m /s
2 )
final velocity v = 0 , height upto which it rises = h
v² = u² - 2 g h
0 = 14.5² - 2 x 9.8 h
h = 10.72 m
3 )
At the highest point velocity = 0
4 )
At the highest point acceleration = 9.8 m /s² downwards .
Determine the torque caused by the cable pulling horizontally on the inclined drawbridge. The force the cable exerts on the bridge is 5000N and the bridge length is 8 m.
Answer:
[tex]\tau=20000\ Nm[/tex]
Explanation:
Given that,
The force the cable exerts on the bridge is 5000N
The length of the bridge is 8 m
We need to find the torque caused by the cable pulling horizontally on the inclined draw bridge. The torque acting on it is given by :
[tex]\tau=Fr[/tex]
Putting all the values,
[tex]\tau=5000\ N\times 8\ m\\\\=20000\ Nm[/tex]
So, the required torque is 20000 Nm.
Given Fa = 38N [E25oN] and Fb = 45 N [S25oE], calculate the force Fc needed so that the
summation of all the forces is zero.
Answer:
58.9 N [W24.8°N]
Explanation:
The vectors are at right angles, so the magnitude of their sum is ...
√(38² +45²) ≈ 58.9 . . . . newtons
The angle Fc makes with Fa can be found using the arctangent:
angle between Fa and Fc = arctan(45/38) ≈ 49.8°
The direction required for the sum of the vectors to be zero is the opposite of [E(49.8° -25°)S], so is [W24.8°N]
The vector that makes the sum zero is 58.9 N [W24.8°N].
Place the lunar phases in the correct order. !QUICK! (I WILL GIVE BRAINLEST!!!!!)
Answer:
Here:
Explanation:
These eight phases are, in order, new Moon, waxing crescent, first quarter, waxing gibbous, full Moon, waning gibbous, third quarter and waning crescent. The cycle repeats once a month (every 29.5 days).
1.
A proton has a __________ charge.
positive
negative
neutral
2.
___________ and ___________ are two subatomic particles found in the nucleus of an atom
electrons; neutrons
protons; neutrons
protons; electrons
3.
A(n) ______________ is a subatomic particle that has a negative charge.
proton
electron
neutron
Answer:
positive
proton and neutron
electron
A 60.0g bullet is fired from a gun with 3150j of kinetic energy find its velocity
Heat is conducted in the axial direction through a cylinder by heating one end. If the diameter of the cylinder is doubled (but the cylinder material, cylinder length, and the temperatures at both ends of the cylinder are unchanged), how will the heat transfer rate be changed
Answer:
hello your question is incomplete attached below is the complete question with the options
answer : Doubling the Diameter increases the heat transfer rate by a factor of 4 ( B )
Explanation:
The heat transfer in the axial direction of the cylinder can be calculated/determined as attached below
[tex]\frac{q_{2} }{q_{1} } = \frac{(2D)^2}{D^2}[/tex]
[tex]q_{2}[/tex] = 4[tex]q_{1}[/tex] ( This shows that Doubling the diameter increases the heat transfer rate by a factor of 4 )
Explaining How Temperature
Does sound travel faster in a warm room or a cold room?
Explain your answer.
Intro
Do
Answer:
Explanation:
Sample Response: Sound travels faster in a warm room because temperature affects the speed of a wave. In a warm room, the particles of air move faster and have higher chances of bumping into each other, which then increases the instances of energy transfer.
If you can run at a speed of 8 miles per hour and you want to run to the store 16 miles away, how
much time will it take you to get there?
Equation needed
work
Answer:
16÷8=2
Explanation:
if you run 8 mi an hour than in 16 mi you would have run 2 hours
How many pets do you have???!!!??
Answer:
Right now I have three.
Explanation: Thanks for the points luv ^-^.
Answer:
I have two
Explanation:
I need an expert in physics for help
John is conducting an experiment that involves melting ice cubes. Which of the following is most important for John to collect reliable data?
A.The outcome needs to be controlled.
B.An unbiased observer must witness the experiment.
C.Technology needs to be used to determine the results.
D.Only one variable should be tested during the experiment.
Answer:
I think A not sure took this test 5 yrs ago
Explanation:
Why do you think psychology courses like this one are often requirements of so many different programs of study ?
Answer:
Because psychology helps you understand the mind of someone else. It can teach you about traits people may have based on what you see, or a likely personality of someone based on their history, and so many other things. Psychology helps you understand a whole other person, and understanding people is a big part in many things such as medicine, STEM, nursing, teaching, and many other things. Understanding people and the things around you is a necessary skill.
Can someone please help?
Answer:
1: E
2: A
3: C
4: B
5: D
Explanation:
With a wooden ruler, you measure the length of a rectangular piece of sheet metal to be 14 mm. With micrometer calipers, you measure the width of the rectangle to be 4.98 mm. Give your answers to the following questions using the correct number of significant figures.
What is:
a. the area of the rectangle.
b. the ratio of the rectangle’s width to its length.
c. the perimeter of the rectangle.
d. the difference between the length and the width.
e. the ratio of the length to the width.
Answer:
Follows are the solution to the given question:
Explanation:
The rectangular part has a length of [tex]14 \ mm[/tex] and its rectangular part has a width of [tex]4.98 \ mm[/tex].
In option A
Calculating the area of the rectangular throgh the given piece:
[tex]\to A_R = WL=(14 mm) (4.98 mm) =69.72 \ mm^2[/tex]
In option B
Calculating the ratio of rectangle's width which is rectangle's length:
[tex]\to R_{WL}=\frac{W}{L}= \frac{4.98 \ mm}{14 \ mm} = 0.3557[/tex]
So, the ratio of rectangle's width to rectangle's length is 0.3557 .
In option C
Calculating the Perimeter of the rectangle:
[tex]\to P_R=2(W+L)=2(14 \ mm+ 4.98 \ mm)= 2(18.98) = 37.96 \ mm[/tex]
In option D
Calculating the difference between length and width:
[tex]\to D_{LW} = L- W = 14\ mm -4.98 \ mm =9.02 \ mm[/tex]
In option E
Calculating the ratio of length to width:
[tex]\to R_{LW}=\frac{L}{W} =\frac{14\ mm}{4.98 \ mm} = 2.811[/tex]
Falling to Earth
Using this graphic organizer, create an argument that supports the assumption that gravity pulls all objects down toward the center of Earth. Provide evidence to support your claim answer
Answer:
gravity pulls objects down to earth.
Explanation
Because Isaac Newton stated that. In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.
