Assuming the cannonball is fired horizontally, its horizontal velocity stays at a constant 76 m/s. At the point it hits the ground, it has a speed of 89 m/s, so if its vertical velocity at that moment is [tex]v_y[/tex], we have
[tex]89\dfrac{\rm m}{\rm s}=\sqrt{\left(76\dfrac{\rm m}{\rm s}\right)^2+{v_y}^2}\implies{v_y}^2\approx2145\dfrac{\mathrm m^2}{\mathrm s^2}[/tex]
(taking the negative square root because we take the downward direction to be negative)
Recall that
[tex]{v_f}^2-{v_i}^2=2a\Delta x[/tex]
where [tex]v_i[/tex] and [tex]v_f[/tex] are the initial and final velocities, respectively; [tex]a[/tex] is the acceleration; and [tex]\Delta x[/tex] is the change in position of a body. In the cannonball's case, it starts with 0 vertical velocity and is subject to a downward acceleration with magnitude [tex]g=9.80\frac{\rm m}{\mathrm s^2}[/tex]. So we have
[tex]2145\dfrac{\mathrm m^2}{\mathrm s^2}-0=-2g\Delta y\implies\Delta y\approx-109.44\,\mathrm m[/tex]
(which is negative because we take the cannonball's starting position at the top of the cliff to be the origin) so the cliff is about 109 m high.
Is the cell membrane found in Plant Cell, Animal Cell, or Both?
Answer:
Explanation:
Animal cells and plant cells share the common components of a nucleus, cytoplasm, mitochondria and a cell membrane. Plant cells have three extra components, a vacuole, chloroplast and a cell wall.
1. It takes 10 seconds for you to go to the cafeteria from the classroom and to
come back. Cafeteria is 20m away East to the classroom. What is your average
velocity?
Answer:
4 m/s East.
Explanation:
Velocity: This cam be defined as the rate of change of displacement. The unit of velocity is m/s.
From the question,
v = d/t...................... Equation 1
Where v = velocity, d = displacement, t = time.
Given: d = 20 m East, t = 5 seconds.
substitute into equation 1
v = 20/5
v = 4 m/s East.
Hence the average velocity = 4 m/s East.
Alpha Centauri has an apparent magnitude of -0.27, whereas the apparent
magnitude of Alpha Crucis is 0.77. Identify which star appears brighter when observed from
Earth. Explain your answer.
Answer:
The star, Alpha Crucis, is brighter than the star, Alpha Centauri, when observed from Earth
Explanation:
The given parameters are;
The apparent magnitude of the star Alpha Centauri = -0.27
The apparent magnitude of the star Alpha Crucis = 0.77
Let relative brightness of two stars is given by the relation
[tex]\dfrac{b_1}{b_2} = 2.512^{(m_1 - m_2)}[/tex]
Where;
m₁ = The apparent magnitude of the star Alpha Centauri = -0.27
m₂ = The apparent magnitude of the star Alpha Crucis = 0.77
b₁ = The brightness of the star Alpha Centauri
b₂ = The brightness of the star Alpha Crucis
Which gives;
[tex]\dfrac{b_1}{b_2} = 2.512^{(-0.27 - 0.77)}= 0.383689[/tex]
Therefore;
b₁/b₂ = 0.383689 and
b₁ = b₂ × 0.383689
b₂ = b₁/0.383689 = 2.606×b₁
b₂ = 2.606×b₁
b₂ > b₁, b₂ is brighter than b₁, that is the star, Alpha Crucis is brighter than the star, Alpha Centauri, when observed from Earth.
PLEASE HEP FAST PLEASE!!!!! IM SO SCARED!!!! An elevator has the mass of 3 tons of power needed to raise the elevator 50m in 15 s?
Answer:
Mass=3,height=50 and time=15,g=10,P=?
P=mgh/t....which is 3×10×50=1500/15=100Watts
Answer:
[tex]\huge \boxed{\mathrm{100 \ Watts}}[/tex]
Explanation:
[tex]\sf \displaystyle P=\frac{mgh }{t} \\\\\\ P=power \ (W) \\\\ m=mass \ (kg) \\\\ g=gravity \ acceleration \ (m/s^2) \\\\ h=height \ (m) \\\\ t=time \ taken \ (s)[/tex]
[tex]\sf \displaystyle P=\frac{3 \times 10 \times 50 }{15}[/tex]
[tex]\sf \displaystyle P=\frac{1500 }{15}[/tex]
[tex]\sf \displaystyle P=100[/tex]
Convert 1.3 km to m
Answer: 1300m
Explain: from km to m times 1000
(i) Define free fall.
0
Answer:
uh,Free fall is the motion of a body where its weight is the only force acting on an object.
1. What are examples of muscle endurance activities/exercises? 2. Which sports require the most muscle endurance? 3. How many sit ups did you do for the Fitnessgram test last year? 4. Pick either arm strength, stomach strength, or leg strength. Explain why this group is important to keep strong.
Answer:
hello i need points i need to pass 8th grade
Explanation:
Answer:1.examples are Plank,Body weight squats,Walking lunges,Pushups 2. Weight-Lifting require the most muscle endurance.3. u shud do it urself .4.u shud pick.
Explanation: for the question Explain why this group is important to keep strong.
Benefits of Muscular Strength and Endurance
Muscular strength and endurance are important for many reasons: Increase your ability to do activities like opening doors, lifting boxes or chopping wood without getting tired. Reduce the risk of injury. Help you keep a healthy body weight.
o
Question 4
1 pts
You jog around 180m track 4 times in 30 minutes. What is your average speed in
m/s? (Hint: Convert min to seconds first)
O 0.4 m/s
O 6 m/s
O 24 m/s
O O m/s
Answer:
0.4m/s
Explanation:
It is given speed so it is scalar.
distance covered in 1 round = 180m
therefore, distance covered in 4 rounds = 180*4 = 720m
time = 30 mins = 30*60 = 1800 seconds
average speed = total distance/total time taken
= 720/1800
= 0.4m/s
what do you mean by average velocity
Answer:
Here is the answer. Hope this helps you!
Explanation:
Average velocity is the sum of initial and final velocity divided by 2. I t is the same as total Displacement divided by total time. Average velocity is calculated when the body is in non-uniform motion (also when total displacement and time is not given). The formula is as follows:
u + v/2 = [tex]v_{av}[/tex]
Average velocity = Average speed
during motion in a straight line. therefore, the above mentioned formula can be used for calculating average speed as well, when the direction is one and only the same, that is, during motion in a straight line. The S.I unit remains the same-
m/s.
Since velocity is vector, average VELOCITY is also vector. However, Average SPEED is scalar as speed is scalar. both can be equal only when the distance = displacement and when they are following the same direction of motion.
the maximum speed limit on interstate 10 is 75 miles per hour. how many meters per second is this
Answer:
33.53m/sExplanation:
Given the maximum speed limit on interstate 10 as 75 miles per hour, to get the speed in meter per seconds, we need to convert the given speed to meter per seconds.
Using the conversion 1 mile = 1609.34m and 1 hour = 3600 seconds
75 miles perhour = 75miles/1 hour
75miles/1 hour (in m/s) = 75miles*1609.34m* 1 hour/1mile * 1 hour * 3600s *
= 75 *1609.34m* 1 /1 * 1 * 3600s
= 120,700.5m/3600s
= 33.53m/s
Hence the maximum speed limit on interstate 10 in metre per seconds is 33.53m/s
If no forces are acting on a moving object, the object will continue to move with constant: Group of answer choices impulse momentum acceleration All of these. None of these.
Answer:
constant acceleration,
Explanation:
when an object is moving without any change in direction,its acceleration is regarded as zero which also means that the object is moving at a constant acceleration.
If no forces are acting on a moving object, the object will continue to move with constant momentum.
To find the answer, we need to know about the force.
What is force?Force is the rate of change of momentum with respect to time.Its SI unit is Newton. It's a vector quantity.What does happen, if force is zero?Force is zero means the rate of change of momentum with respect to time is also zero.Therefore, if the momentum is not changing with time, then it's constant over time.Thus, we can conclude that if no forces are acting on a moving object, the momentum is constant.
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A hair is placed at one edge between two flat glass plates 7.32 cm long. When this arrangement is illuminated with 632 nm light, 130 bands are counted, starting at the point of contact of the two plates. How thick is the hair
Answer:
The thickness of the hair is 4.0764x10^-5 m
Explanation:
2t=mL (L is wavelength)
2t = 129x632 (124 is used because m starts at 0)
2t = 81528
t = 40764
t = 4.0764x10^-5 m
If a phase shift occur, then we use;
2t = (m + 1/2)L and
2t = (129 + 1/2)632
2t = 81844
t = 40922
t = 4.0922x10^-5 m
The answers are almost the same.
A ball is thrown vertically upward from the top of a tower 40m high with velocity 10m/sec find time when it strikes ground
Find time when it strikes ground.
Formula used:-s = ut + 1/2 at²
Solution:-We will first calculate the time taken by the ball to reach the highest point by using the formula:
S = ut + 1/2 at²
★ Substituting the values in the above formula,we get:
⇒ -40 = 10 × t + 1/2 × -10 × t²
⇒ -40 = 10t + ( - 5 ) × t²
⇒ -40 = 10t - 5 t²
⇒ 5t² - 10t - 40
⇒ 5t² - 20t + 10t - 40
⇒ 5t ( t - 4 ) + 10 ( t - 4 )
⇒ t - 4 = 0 and 5t + 10 = 0
⇒ t = 4 and t = -2
Thus,time taken is 4 seconds. [ Ignore negative number. ]
Answer:
[tex]\Huge \boxed{\mathrm{4 \ s}}[/tex]
Explanation:
Displacement ⇒ -40 m (the ball strikes the ground)
Initial velocity ⇒ 10 m/s
Acceleration of gravity ⇒ -10 m/s² (upward acceleration)
We can use a formula to find the time taken.
[tex]s = ut + 1/2 at^2[/tex]
[tex]s = \sf displacement \ (m)[/tex]
[tex]u = \sf initial \ velocity \ (m/s)[/tex]
[tex]a = \sf acceleration \ of \ gravity \ (m/s^2)[/tex]
[tex]t = \sf time \ taken \ (s)[/tex]
Plugging in the values.
[tex]-40 = (10)t + 1/2 (-10)t^2[/tex]
Solve for [tex]t[/tex].
[tex]-40 = 10t-5t^2[/tex]
[tex]5t^2-10t-40=0[/tex]
Factor the quadratic expression.
[tex]5(t+2)(t-4)=0[/tex]
Set the factors equal to 0.
[tex]t+2=0\\t=-2[/tex]
[tex]t-4=0\\t=4[/tex]
t = -2 and t = 4 (time value will not be negative in this case)
The time the ball takes to strike the ground is 4 seconds.
Please help anyone ASAP You can listen to your friend round a corner, but you cannot watch him/her .Why? Related to sound
Answer:
The sound waves have larger wavelength than light waves. These are diffracted by the corner of wall and light waves cannot do so, due to their very small wavelength (as compared with size of wall corner). So, without seeing the friends his/her voice can be heard.
The sound wave has a longer wavelength as compared to light waves and due to diffraction the sound wave reaches your friend around a corner, but the light wave can't.
What is sound?Sound is a mechanical disturbance that travels through an elastic medium and disrupts an equilibrium condition. It is also feasible to define sound solely subjectively, as that which is perceived by the ear.
Although this definition lacks clarity and is overly pedantic because it is necessary to discuss noises that cannot be heard by the human ear, such as those made by dog whistles or sonar devices.
Compared to light waves, sound waves have a longer wavelength. Since light waves have a very short wavelength, they cannot be diffracted by a corner of a wall (as compared with the size of wall corner). He or she can therefore be heard even when the friends are not seen.
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Kangaroos have been clocked at speeds of 18 m/s. How far can a kangaroo hop in 192 sec at this speed?
[tex] \bf \underline{ \underline{given : }}[/tex]
Speed of kangaroo = 18 m/s Time taken by a kangaroo = 192 sec[tex]\bf \underline{ \underline{to \: be \: calculated : }}[/tex]
Calculate the distance covered by a kangaroo.
[tex]\bf \underline{ \underline{formula \: applied : }}[/tex]
[tex] \boxed{ \bf{Speed = \frac{Distance}{Time} }}[/tex]
[tex]\bf \underline{ \underline{Solution : }}[/tex]
We know that,
Speed = Distance/Time
=> Distance = Speed × Time
Substituting the values in the above formula,we get;
=> Distance = 18 × 192
=> Distance = 3456 m
Thus,the distance covered by a kangaroo is 3456 meters.
which of the following calculations is equal to 1?
Answer:
we need to see the answers but probably 1 or -1
A box with a mass of 15 kg is pushed with a net force of 180 N. What magnitude of
acceleration will the box experience?
Answer:
a = 12 m / s²
Explanation:
Let's apply Newton's second law
F = m a
where F is the force, m the mass of the body and the acceleration
we clear
a = F / m
let's calculate
a = 180/15
a = 12 m / s²
this acceleration has the same direction of the force
Which one of the two potential differences emf or terminal voltage will be greater in magnitude?Why?
Answer:
True, yes terminal voltage of a battery can never be greater than the emf of the battery. Because due to internal resistance of the current terminal
The reed switch is placed between the poles of the strong permanent magnet.
State and explain what happens.
Answer:
he switch is open when the magnetic field is activated, a magnetic force is applied to the reed, which causes it to move, closing the circuit and allowing the lock to open.
Explanation:
The reed switches, this is metallic, generally iron, in general the switch is open when the magnetic field is activated, a magnetic force is applied to the reed, which causes it to move, closing the circuit and allowing the lock to open.
The force is given by
F = i l x B
In the systems when the switch is depressed the magnetic field is created in a solenoid and this field attracts the metal of the reed.
What unit of mass measurement would I use to measure a small pebble

Answer:
probably ounces or grams
Explanation:
A diver is 15m below the surface of a liquid density 1050kg/m3.Calculate the total pressure on the diver given that atmospheric pressure in the region is 70cmHg.(take density of mercury to be 13600kg/m3 and g=10N/kg)
Answer:
Explanation:
pressure due to fluid column = hdg where h is height of column , d is density of fluid , g is acceleration due to gravity .
Total pressure on the diver = atmospheric pressure + pressure due to water
= .70 x 13600 x 10 + 15 x 1050 x 10
= 95200 + 157500
= 252700 Pa
= 2.527 x 10⁵ Pa .
What is universal constant (G)
☄ Universal Gravitational Constant(G)
Gravitational constant is a constant of proportionality when F(Gravitational force) is proportional to product of masses and inversely proportional to the distance between them.
It can be defined as:- Universal gravitational constant is the magnitude of the force between a pair of 1 kg masses that are kept 1 metre apart.The SI unit of G is N m²/kg² and the CGS unit of G is Dyne cm² / g².☄ Do you know?The value of G (universal gravitational constant) was found out by the scientist Henry Cavendish by using the sensitive torsion balance[tex].[/tex]
━━━━━━━━━━━━━━━━━━━━
Answer:
Here is the answer. Hope this helps you!
Explanation:
Now, from Universal law of gravitation, we come to know that:
F= force of attraction
M = the object with greater mass (taken from centre of the objects)
m = object with smaller mass (taken from centre of the objects)
d = distance (taken from centre of the objects)
F ∝ Mm
F ∝ 1/d²
Therefore, we get the formula
F ∝ Mm/d²
F = GMm/d²
Here, G is the constant of proportionality. It also accepted as the Universal gravitation constant. It has a value of 6.67*10^-11 Nm^2/kg^2.
The universal gravitation constant has allowed us to use the above formula to help us calculate and come to know about
the force that binds us to the earththe motion of moon around the earththe motion of planets around the sunthe tides on earth caused by the moon and the sun.I don't know how to solve this, can I get a little help?
Explanation:
Acceleration is the change in velocity over change in time.
a = Δv / Δt
So it is the slope of the line of a velocity vs. time graph.
a = (10 m/s − 40 m/s) / (12 s − 0 s)
a = -2.5 m/s²
What is the kinetic energy of a ball with a mass of .5 kg and a velocity of 10 m/s
Answer:
kinetic energy is 1/2mv^2.
which is 1/2×5×10^2.
1/2×5×100=
250J.
Answer:
The correct answer would be 250 J.
I can raise a bucket of cement mix of mass 12kg through a vertical height of 8m in 10 seconds.Calculate the average power used in raising the bucket against the gravitational force?
Explanation:
Power = work / time
Power = force × distance / time
P = (12 kg × 10 m/s²) (8 m) / (10 s)
P = 96 Watts
The average power used in raising the bucket against the gravitational force is equal to 94.08 W.
What is power?Power can be defined as the rate of doing work in unit time. The S.I. unit that is used to measure power is Watt (W) or Joule per second. Power can be described as the rate at which work is done.
Power = Work /time
Given, the mass of the bucket, m = 12 kg
The distance traveled by the bucket, d = 8 m
The work is done by the bucket, W = F.d
W = mg.d
W = 12 × 9.8 ×8
W = 940.8 J
Given, the time is taken by the bucket, t = 10 s
The power used in raising the bucket against the gravitational force:
P = W/t
P = 940.8/10
P = 94.08 W
Therefore, the average power is equal to 94.08 W.
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Monochromatic light falls on a screen 1.60 m from two slits separated by 2.11 mm. The first- and second-order bright fringes are separated by 0.550 mm. What is the wavelength of the light?
Answer:
725 x10^-9m
Explanation:
We know that the optical path difference is (ax)/D
Where
a=2.11mm
D=1.60m
x= position on the screen
the optical path differences varies of lambda = wavelength
That is BTW two bright fringes
So therefore
x2-x1=lambda x D/a
lambda = ( x2 - x1) x a/D = 0.55 x 10^-3 x 2.11E-3 / 1.60 = 725nm
Whic two types of cells are required during the process of osteogenesis
This Class I’m in is called Anatomy & Phys
Answer:
Bone homeostasis involves multiple but coordinated cellular and molecular events. Two main types of cells are responsible for bone metabolism: osteoblasts (which secrete new bone), and osteoclasts (which break bone down).
Explanation:
It takes Serina 0.55 hours to drive to school. Her route is 22 km long. What is Serina’s average speed on her drive to school?
Answer:
= 40 km/hr
Explanation:
speed = distance / time
= 22km / 0.55 hr.
= 40 km/hr
I forgot how to do this ;;;
Explanation:
Acceleration is change in velocity over change in time.
a = Δv / Δt
a = (10 m/s − 5 m/s) / 4 s
a = 1.25 m/s²
Work = force × distance
First, find the distance traveled.
v² = v₀² + 2aΔx
(10 m/s)² = (5 m/s)² + 2 (1.25 m/s²) Δx
Δx = 30 m
Now find the work:
W = (600 kg × 1.25 m/s²) (30 m)
W = 22,500 J
Alternative, work = change in energy.
W = ΔKE
W = ½ mv² − ½ mv₀²
W = ½ m (v² − v₀²)
W = ½ (600 kg) ((10 m/s)² − (5 m/s)²)
W = 22,500 J
compare distance and mass
Answer:
The amount of gravity affecting an object depends on two things: the masses of the objects being attracted and the distance between the objects. Mass is the measure of the amount of matter in an object. With distance, we see that the strength of gravity decreases if the distance between two objects increases.
Hope this helps!