Answer:
(a) h = 5.1 m
(b) v = 14.13 m/s
Explanation:
(a)
We will use the law of conservation of energy. For this situation it states that:
Loss in Potential Energy of Sphere = Gain in Kinetic Energy of the Sphere
mgh = (1/2)mv²
h = v²/2g --------------- equation (1)
where,
h = height = ?
v = speed at lowest point = 10 m/s
g = 9.8 m/s²
Therefore,
h = (10 m/s)²/(2)(9.8 m/s²)
h = 5.1 m
(b)
using the equation (1)
h = v²/2g
v = √2gh
where,
v = velocity = ?
g = 9.8 m/s²
h = height = 2(5.1 m) = 10.2 m
Therefore,
v = √[2(9.8 m/s²)(10.2 m)]
v = 14.13 m/s
The height from which the sphere was released is 5.1 m
When the height is doubled, the speed of the sphere becomes 14.14 m/s.
The given parameters:
Mass of the sphere, m = 1.0 kgSpeed of the sphere, v = 10 m/sThe height from which the sphere was released is calculated as follows;
[tex]P.E = K.E\\\\mgh = \frac{1}{2}mv^2\\\\gh = \frac{1}{2}v^2\\\\h = \frac{v^2}{2g}\\\\h = \frac{(10)^2}{2(9.8)} \\\\h = 5.1 \ m[/tex]
When the height is doubled, the speed of the sphere becomes;
[tex]h = \frac{v^2}{2g} \\\\v^2 = 2gh\\\\v = \sqrt{2gh} \\\\v = \sqrt{2 \times 9.8 \times (2 \times 5.1)} \\\\v = 14.14 \ m/s[/tex]
Learn more about conservation of mechanical energy here: https://brainly.com/question/6852965
Does this graph represent an endothermic or an exothermic reaction
Answer:
the graph represents an endothermic reaction
Explanation:
remember:
endo- inside
exo- out
Phich instrument can be used to give a direct measurement of the mass of a rock on moon
Answer:
you can use a balance
Explanation:
when you tend to measure something you are using your brain so why dont you use your brain dimwitt
The critical angle of diamond is 24 degrees. What is its refractive index?
Answer:
2.46
Explanation:
From the question given above, the following data were obtained:
Critical angle (C) = 24 °
Refractive index (n) =?
The refractive index of the diamond can be obtained by using the following formula as illustrated below:
Refractive index (n) = 1 / sine [critical angle (C)]
n = 1/sine C
n = 1 / sine 24 °
n = 1/0.4067
n = 2.46
Thus, the refractive index of the diamond is 2.46
The melting point of a substance is an example of?
Answer:
Melting point of a substance is the temperature at which a substance changes from a solid to a liquid. A change of state like melting is a physical change because it doesn’t alter the identity of the substance. In other words, melting point is a physical property because you can determine an object’s melting point without changing the substance. For example, when a substance like ice melts into water, the identity of the substance doesn’t change; the substance is water before and after the physical change. On the other hand, flammability is a chemical property because burning an object is a combustion reaction that leads to the creation of new substances. When you burn a piece of wood, it reacts with oxygen in the air to produce heat, light, carbon dioxide, and water vapor.
Explanation:
There are a lot of examples to choose from.
A hollow ball with a diameter of 3.81 cm has an average density of 0.0842 g/cm3. What force must be applied to hold it stationary while it is completely submerged under water? (Enter the magnitude in N, and select the direction from the options given.)
Answer:
0.26
Explanation:
Given that :
Diameter of ball = 3.81 cm = 3.81/100 = 0.0381 m
Radius (r) = 0.0381 / 2 = 0.01905 m
Average density of ball (Db) = 0.0842 g/cm³ = (0.0842 / 1000)kg / 10^-6 = 0.0842/ 1000 * 10^6 = 84.2kg/m³
Density of water (Dw) = 1000kg/m³
Volume of hollow ball: (4/3) * pi * r³
V = (4/3) * π * 0.01905^3
V = 0.0000289583 m³
Required force = (Dw * V * g) - (Db * V * g)
= (1000 * 0.0000289583 * 9.8) - (84.2 * 0.0000289583 * 9.8)
= 0.259896109172
= 0.2598 N
To determine the force that must be applied to the hollow ball to hold it stationary while it is completely submerged under water is 0.2243 Newton.
Given the following data:
Diameter of hollow ball = 3.81 cmDensity of hollow ball = 0.0842 [tex]g/cm^3[/tex]Density of water = 1000 [tex]kg/m^3[/tex]
Conversion:
Diameter of hollow ball = 3.81 centimeters to meters = [tex]\frac{3.81}{100} = 0.0381\;m[/tex]
Density of hollow ball = 0.0842 [tex]g/cm^3[/tex] to [tex]kg/m^3[/tex] = [tex]\frac{0.0842 \times 10^6}{1000} = 84.2 \;kg/m^3[/tex]
To determine the force that must be applied to the hollow ball to hold it stationary while it is completely submerged under water:
First of all, we would calculate the volume of the hollow ball by using the formula:
[tex]Volume = \frac{4}{3} \pi r^3\\\\Volume = \frac{4}{3} \times 3.142 \times 0.01905^3\\\\Volume = 4.19 \times 0.0000069\\\\Volume = 0.000029 \;m^3[/tex]
Next, we would find the force required for water and the hollow ball:
For water:
[tex]F_w = D_wVg\\\\F_w = 1000 \times 0.000029 \times 9.8\\\\F_w = 0.2842\; Newton[/tex]
For hollow ball:
[tex]F_h = D_hVg\\\\F_h = 84.2 \times 0.000029 \times 9.8\\\\F_h = 0.0239\; Newton[/tex]
Now, we can find the force that must be applied to the hollow ball:
[tex]Force = F_w - F_h\\\\Force = 0.2482 - 0.0239[/tex]
Force = 0.2243 Newton
Read more: https://brainly.com/question/18320053
A child walks 90 meters in 3 minutes . the speed in m/s
Answer:
Speed = 0.5 m/s
Explanation:
Time = 3min = 180 seconds
Distance = 90 meters
[tex]Speed =\frac{Distance}{Time} \\\\Speed= \frac{90}{180} \\\\Speed = \frac{1}{2} \\\\Speed =0.5\:m/s[/tex]
Answer:ttttrsc
Explanation:eeeeee
How often should muscle strengthening activities be performed?
A-Never
B-Once a week
C-Twice a week
D-At least three times per week
Answer:
once a week
Explanation:
once a week so answer B
Answer:
B-Once a week
Explanation:
You answer is B-Once a week
Here photosynthesis in a nutshell. Can you explain what is happening?
Answer:
Photosynthesis is the process of using water, carbon dioxide and sunlight to produce sugar. The process of photosynthesis requires specialized cellular structures called chloroplasts to capture energy from the Sun and converted into chemical energy.
Explanation:
A person with a mass of 40 kg is sitting on a box. What is the value of the normal force
normal force=mass*gravitational force
normal force=40*0
normal force=40
Pick yourself around 1 situation (e.g. pushing a chair on the floor) with four different forces.
Display the situation by drawing object and forces who work between the object.
Write down the types of forces displayed.
Distinguish between average speed and average
velocity
Answer:
The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time.
do heavier objects fall faster than lighter objects?
Answer:
Heavy objects fall at the same rate (or speed) as light ones. The acceleration due to gravity is about 10 m/s2 everywhere around earth, so all objects experience the same acceleration when they fall.
Explanation:
What is the period of a wave that has a frequency of 30 Hz?
A. 0.3s
B. 0.03 s
C. 30 s
D. 35
Answer:
0.03s
Explanation:
Period of wave and its frequency are closely related. Period is the inverse of frequency.
The period of a wave is the time taken for a number of waves to pass through a particular point.
The frequency of a wave is the number of waves that passes through a point at a particular time.
So;
f = [tex]\frac{1}{T}[/tex]
f is the frequency
T is the period
Period of the wave = [tex]\frac{1}{30}[/tex] = 0.03s
Answer:
a
Explanation:
Density of solid copper is 8960 kg/metre cubed. Calculate the
volume of 5000 kg of copper to two significant figures.
Answer:
[tex]V=0.56~m^3[/tex]
Explanation:
Density
It's a measure of the mass of an object or substance per unit volume. It can be calculated as:
[tex]\displaystyle D=\frac{M}{V}[/tex]
Given the density of solid copper as [tex]D=8960~Kg/m^3[/tex], we will calculate the volume occupied by M=5000 Kg of copper solving the above equation for V:
[tex]\displaystyle V=\frac{M}{D}[/tex]
Substituting:
[tex]\displaystyle V=\frac{5000}{8960}[/tex]
Calculating:
[tex]V=0.558~m^3[/tex]
Expressed to two significant figures:
[tex]V=0.56~m^3[/tex]
4.5 x 10kg) - (2.3 x 10 kg)
Answer:
22 kg
Explanation:
I hope this helps!
Answer:
22 kilograms
Hope it helps :) (if it does can i pls have brainliy thing)
Which best explains the surface tension of water? capillary action cohesion adhesion sublimation
Answer:
Cohesion
Explanation:
Surface tension of water refers to the ability of the surface of water as a liquid to resist an external force. Surface tension of a liquid like water is dependent on the force of attraction that hold its molecules to one another, which is a force called COHESIVE FORCE.
Cohesion is a property of water characterized by the ability of water molecules to be attracted to one another. This cohesive property causes its molecules to be able to resist external forces or in other words is responsible for the SURFACE TENSION. Hence, the stronger the cohesive force between molecules of a liquid, the higher the surface tension.
A truck with an overall mass of 6,500 kg is accelerating at 0.3 m/s2. What force does the engine need to apply in order to do this? (Round to the nearest tenth of a decimal.)
Answer:
1950 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 6500 × 0.3
We have the final answer as
1950 NHope this helps you
Weathered rocks and soil are moved by _____?
A. Weathering
B. erosion
C. cycles
D. deposition
Answer:
The correct answer is B
Someone is most likely to walk gingerly in order to do which of the following?
A.exercise his legs
B.trace his steps
C.keep from making noise
D.break in his shoes
I NEED HELP ASAP
Answer:
I think it a
Explanation:
Answer:
c
Explanation:
What is the mass number of an atom that has 5 protons and 7 neutrons? I give brainliest.
Answer:
The atomic mass of an atom that has 5 protons and 7 neutrons would be 12.
Explanation:
In all cases, the number of protons added to the number of neutrons equate to the mass of an atom. Electrons do have mass, but it's so miniscule and insignificant that it doesn't contribute to the overall mass of the atom, so there's no need to count them.
Bonus Information:
DO NOT CONFUSE MASS WITH CHARGE! Protons and neutrons are the only particles that contribute to the mass of an atom. Meanwhile, protons (+) and electrons (-) are the only particles that have a charge. As it says in its name, neutrons are neutral or have no charge.
Remember:
C = p - e
M = p + n
C = atomic charge, M = atomic mass, p =protons, n = neutrons, e = electrons
I hope this helps!
what is the KE if a 10kg mass traveling at 5 m/s
Answer: KE = 25 J
Explanation: You must use the formula
KE = 1/2 m v²
to solve this problem.
KE = 1/2 (10 Kg) (5 m/s)
KE = 1/2 (50 kgm/s)
KE = 25 J
a car is moving 18m/s to the east. if it takes the car 5 seconds to reach a velocity of 19 m/s to the east, what is its acceleration?
Kinematics
First Velocity (Vf) = 18 m/s
Last Velocity (Vl) = 19 m/s
time (t) = 5 seconds
acceleration = ______?
Answer :
Vl = Vf + a × t
19 = 18 + a × 5
19 - 18 = 5a
1 = 5a
1 / 5 = a
0,2 m/s² = a ✅
Answer: 0.2 m/s^2 east
Explanation:
A PE X
What is power the quotient of?
A.speed and energy
B.work and time
C.speed and distance
D.work and distance
Power quotient of : _____?
Answer :
[tex]p = \frac{w}{t} [/tex]
P is Power (Watt)
W is Work (Joule)
T is Time (second)
So, it means Work and Time is the quotient of Power. (B)
A jet is flying from atlanta to gulfport and is cruising at Mach .79 or 844 km/hr. During the last 89 km it reduces its speed for landing at a rate of -2780 km/hr^2. How long will it take for the jet to reach landing speed? What was the landing speed of the jet?
Answer:
The time it takes for the jet to reach landing speed is approximately 0.136 hours which is approximately 489 seconds
The landing speed is approximately 466.365 km/hr
Explanation:
The given parameters are;
The initial cruising speed of the jet = Mach 0.79 = 844 km/hr
The rate of speed reduction in the last 89 km = -2780 km/hr²
The distance it takes the jet to reduce its speed for landing = 89 km
Given the above information, we make use of the following equation of motion;
s = u·t - 1/2·a·t²
v² = u² - 2·a·s
Where;
s = The distance over which the acceleration (deceleration) is applied = 89 km
u = The initial velocity = 844 km/hr
t = The time taken for the accelerating/decelerating motion
v = The final velocity (landing speed)
Substituting the values gives;
v² = 844² - 2·(2780)·89 = 217496
v = √217496 = 466.365 km/hr
v ≈ 466.365 km/hr
Therefore, the landing speed, v ≈ 466.365 km/hr
The time it takes is given by the equation, v = u - a·t
Therefore;
t = (u - v)/a = (844 - 466.365)/2780 ≈ 0.136 hours
The time it takes for the jet to reach landing speed ≈ 0.136 hours
From, s = u·t - 1/2·a·t², we have
89 = 844·t - 1/2 × 2780 × t²
89 = 844·t - 1390 × t²
1390 × t² - 844·t + 89 = 0
Solving with an online application gives;
t = 211/695 + (√(27187/2))/695 = 0.4715 hours or t = 211/695 - (√(27187/2))/695 = 0.136 hours
We note that the second time is for the time it will take the jet to get back to 89 km after reaching a speed of 0
Therefore, the correct time is t = 0.136 hours
The time it takes for the jet to reach landing speed ≈ 0.136 hours
A box sitting still on the ground by itself has a Normal Force of 700N, what is the mass? (gravity’s acceleration is 9.80 m/s²)
Answer: 71.43 kilograms
This value is approximate rounded to two decimal places.
=====================================================
Explanation:
The ground is pushing up with a normal force of 700 N. Because the box is sitting still, this means the force of gravity is pulling the box down with a force of 700N to keep things balanced.
If the force of gravity was greater than 700N, then the box would fall through the ground. If the force of gravity was smaller than 700N, then the box would be accelerated upward. Since neither event is happening, the force of gravity must be equal to the normal force.
Now turn to Newton's second law which says
F = ma
where F is the force, m is the mass and 'a' is the acceleration. We're given the acceleration of gravity is roughly 9.80 m/s^2. So a = 9.80
The force we'll plug in is F = 700. The value of m is unknown, but we can solve for it as such
F = ma
700 = m*9.80
700 = 9.08m
9.80m = 700
m = 700/9.80
m = 71.4285714285714
m = 71.43
The mass is roughly 71.43 kilograms.
Rust, or iron oxide, ___________.
Group of answer choices
A is the result of rainwater and oxygen combining with iron
B leaves dark streaks across rocks
C is formed by chemical erosion
D All of the above.
Answer:
D
Explanation:
because all are reffering to the answer you need
write any two methods of transport victim
simple methods to carry a sufferer encompass the four-hand seat, backpack carry, ski pole or tree limb backpack carry, and coiled rope seat. In the first method, two rescuers interlock hands. Each rescuer first grasps his right wrist with his left hand.
Temperatures of gases inside the combustion chamber of a four‑stroke automobile engine can reach up to 1000°C. To remove this enormous amount of heat, the engine utilizes a closed liquid‑cooled system that relies on conduction to transfer heat from the engine block into the liquid and then into the atmosphere by flowing coolant around the outside surface of each cylinder.
Suppose that, in a particular 4‑cylinder engine, each cylinder has a diameter of 8.75 cm, a height of 11.3 cm, and a thickness of 3.14 mm. The temperature on the inside of the cylinders is 195.2°C, and the temperature outside, where the coolant passes, is 130.0°C. The temperature of the incoming liquid (a mixture of water and antifreeze) is maintained at 95.0°C.
What volume flow rate of coolant [tex]\frac{V}{t}[/tex] would be required to cool this engine? Assume that the coolant reaches thermal equilibrium with the outer cylinder walls before exiting the engine. The specific heat of the coolant is 3.75 J/g°C and its density is 1.070×103 kg/m3. The cylinder walls have thermal conductivity of 1.10×102 W/m⋅∘C. Assume that no heat passes through the ends of the cylinders.
Answer:
thats a lot, which one u want me to do?
Explanation:
Determine the average speed of a runner who runs 15 Km in one hour and 30 minutes
True or false, transient hypertrophy is a result of short-term edema accumulation in the muscle?
Answer:
True
Explanation: