a ball of mass 0.2 kg is dropped from a height of 20m on impact to the ground it loses in 30 joule of energy calculate the height it reaches on rebound
Answers
Answer:
5 m
Explanation:
We'll begin by calculating the original potential energy. This can be obtained as follow:
Mass (m) = 0.2 Kg
Height (h) = 20 m
Acceleration due to gravity (g) = 10 m/s²
Energy (E₀) =?
E₀ = mgh
E₀ = 0.2 × 10 × 20
E₀ = 40 J
Next, we shall determine the new energy of the ball.
Energy (E₀) = 40 J
Energy lost (Eₗ) = 30 J
New energy (E) =?
E = E₀ – Eₗ
E = 40 – 30
E = 10 J
Finally, we shall determine height of the ball on rebound. This can be obtained as follow:
New energy (E) = 10 J
Mass (m) = 0.2 Kg
Acceleration due to gravity (g) = 10 m/s²
Height (h) =?
E = mgh
10 = 0.2 × 10 × h
10 = 2 × h
Divide both side by 2
h= 10 / 2
h = 5 m
Thus, the height of the ball on rebound is 5 m
Related Questions
Match each model with the behavior of light waves that it illustrates
A. a sponge taking on water B. a car changing direction on a different surface C.ocean waves changing direction as they go through the poles on a dock D. a sponge taking on water bouncing a ball on a table
( options r diffraction, absorption, refraction, and reflection )
Answers
A. Absorption
B. Refraction
C. Diffraction
D. Reflection
Modeling light wavesWhen a sponge takes on water, it absorbs the water into its structure. Similarly, when light waves are absorbed by a material, they are taken up by the material, and their energy is transferred to the material.When a car changes direction on a different surface, it changes speed and direction due to the effect of the surface on its movement. Refraction is the bending of light waves when they pass through a medium with a different refractive index, causing a change in direction and speed.When ocean waves pass through the poles on a dock, they spread out and bend around the corners of the poles, changing direction. This behavior of waves is known as diffraction, which occurs when waves encounter an obstacle or aperture and bend around it.When a sponge takes on water, it swells and changes shape. When a ball bounces on a table, it reflects off the surface and changes direction. Similarly, when light waves reflect off a surface, they bounce back and change direction, a behavior known as reflection.More on light waves can be found here: https://brainly.com/question/25588186
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Calculate the time to fatigue and record in Lab Data Time: Force(kg): Number of Active motor Units: 0s 48 4 15s 43 3 30s 38 3 45s 30 2 60s 24 2 70s 19 1
Answers
The time to fatigue calculated from the given record in Lab data is preferably 60 seconds.
Time to fatigue is the time that is taken for muscle contraction to decrease by 50% of its maximum strength.
Force is the one that is measured by weight here. Here, as time progresses force is seen to come down.
When force is seen to come down, there is a decrease in the number of motor units that get employed as well.
Time to fatigue is the one where this force expressed as weight reaches half of the maximum.
Here, the maximum force expressed as kg is 48kg at 0 sec.
Half of 48kg is 24kg. This is the point where time to fatigue happens with a decreased number of motor units.
Here, we can see that at the 60th second , 50% decay which is 24 kg force happens with the help of only 2 motor units.
Hence, our time to fatigue here is preferably 60 seconds.
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What type of device is a refrigerator?
A. A heat pump that uses work to move heat
B. A heat pump that uses heat to do work
C. A heat engine that uses work to move heat
D. A heat engine that uses heat to do work
Answers
Suppose you are observing a binary star with a telescope and are having difficulty resolving the two stars. You decide to use a colored filter to maximize the resolution. (A filter of a given color transmits only that color of light.) What color filter should you choose? (a) blue (b) green (c) yellow (d) red
Answers
The color filter that a person need to choose is option (a) blue.
Why choose the blue color?The reduction of the wavelength of the light is one that tends to make the aperture to be bigger if it is said to be relative to the light wavelength, by rising the resolving power. So, one need to choose a blue filter.
The Blue light filter is one that can act by lowering the amount of blue light that is shown on the screen of telescope device.
note that the blue light can tends to suppress the creation of melatonin thus making it to be filtering it out.
Therefore, based on the above, The color filter that a person need to choose is option (a) blue.
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What does ADA apply to?
Answers
Total distance does not take into account the direction of the object, but displacement always includes direction.
Question 1 options:
True
False
Answers
Answer: True
Explanation:
Distance is a scalar, which means it has no direction. It is the sum of the entire path traveled.
Displacement is a vector, which means it does have direction. It is the shortest path from the start to the end. It is defined as \(x_f-x_i\).
PLEASE HELPPP
Force: Adding vectors (find resultant force)
50N north plus 50N west Plus 50N north west
Answers
One way to do this is to draw a diagram of the vectors and use the head-to-tail method to find the resultant vector. We can start by drawing the vector 50N north, then draw the vector 50N west starting from the end of the first vector, and finally draw the vector 50N northwest starting from the end of the second vector and ending at the tip of the resultant vector. The resultant vector is the vector that starts at the beginning of the first vector and ends at the tip of the last vector.
Alternatively, we can use trigonometry to find the magnitude and direction of the resultant vector. We can break down each vector into its x and y components, then add up the x components and the y components separately to get the x and y components of the resultant vector. The magnitude of the resultant vector is then given by the square root of the sum of the squares of the x and y components, and the direction is given by the arctangent of the y component divided by the x component.
Using either method, we can find that the magnitude of the resultant force is approximately 70.7N, and the direction is approximately 45 degrees north of west
according to the heisenberg uncertainty principle, quantum mechanics differs from classical mechanics in that:
Answers
The measurement of an observable quantity in the quantum realm results in an intrinsic change in that quantity's value, according to Heisenberg's uncertainty principle.
Classical mechanics is the study of the motion of large, familiar entities that we encounter on a daily basis.
This similar science, but for subatomic particles, is known as quantum mechanics.
Obviously, when the ideas and principles of classical mechanics were initially established, they served their intended purposes and still do. But when research into subatomic particles grew more intense, it became impossible to correctly apply those ideas and concepts to these subatomic particles that showed wave-particle duality nature.
In order to apply these ideas to sub-atomic particles, Heisenberg's Uncertainty Principle was developed at a period when explanations and justifications were required.
The theory adequately explains why it is difficult to quantify a stance.
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As the name states, the cars of a roller coaster really do coast along the tracks. A motor pulls the cars up a high hill at the beginning of the ride. After the hill, however, the motion of the car is a result of gravity and inertia. As the cars roll down the hill, they must pick up the speed that they need to whiz through the rest of the curves, loops, twists, and bumps in the track. To learn more about designing roller coasters, read the interview with Steve Okamoto.
How did you become a roller coaster designer?
I have been fascinated with roller coasters ever since my first ride on one. I remember going to Disneyland as a kid. My mother was always upset with me because I kept looking over the sides of the rides, trying to figure out how they worked. My interest in finding out how things worked led me to study mechanical engineering. What sort of training do you have I earned a degree in product design. For this degree, I studied mechanical engineering and studio art. Product designers consider an object's form as well as its function.They also take into account the interests and abilities of the
product's consumer. Most rides and parks have some kind of theme, so I must consider marketing goals and concerns in my designs.
What is the nature of your work?
To design a roller coaster, I study site maps of the location. Then, I go to the amusement park to look at the actual site.Because most rides I design are for older parks (few parks are built from scratch), fitting a coaster around, above, and in
between existing rides and buildings is one of my biggest challenges. I also have to design how the parts of the ride will work together. The towers and structures that support the ride have to be strong enough to hold up a track and speeding cars that are full of people. The cars themselves need special wheels to keep them locked onto the track andseat belts or bars to keep the passengers safely inside. It's
like putting together a puzzle, except the pieces haven't
been cut out yet.
What advice do you have for a student who is interested in designing
roller coasters?
Studying math and science is very important. To design a successtulcoaster, I have to understand how energy is converted from one form to another as the cars move along the track. I have to calculate speeds and accelerations of the cars on each part of the
track. They have to go fast enough to make it up the next hill! I rely on my knowledge of geometry and physics to create the roller coaster's curves.loops, and dips. Sammrazie in two paragraphs
Answers
The summary of the interview with Steve Okamoto a roller coaster designer highlighted how he developed a fascination for rollercoasters and how he successfully learned how to build them.
What is the summary of the interview with Steve Okamoto?The summary of the interview with Steve Okamoto is given below.
In an interview with Steve Okamoto, a roller coaster designer, he explained that his fascination with roller coasters began at a young age, and his interest in finding out how they worked led him to study mechanical engineering and product design. As a roller coaster designer, Okamoto's work involves studying site maps, designing how the parts of the ride will work together, and fitting coasters around existing rides and buildings. He also has to consider marketing goals and concerns in his designs, as most parks have some kind of theme. Okamoto recommends that students interested in designing roller coasters should focus on studying math and science, and understanding how energy is converted from one form to another as the cars move along the track.
Overall, Okamoto's work as a roller coaster designer involves a combination of mechanical engineering, product design, and consideration for marketing goals and existing park infrastructure. To design a successful roller coaster, he relies on his knowledge of math, science, geometry, and physics to calculate speeds, accelerations, and the coaster's curves, loops, and dips. His advice for students interested in designing roller coasters is to focus on studying math and science, and understanding how energy is converted throughout the coaster's track.
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Vi VE
5. A train accelerates from 60 km/h to 150 km/h and travels 600 m. How long does
this motion take?
2.0.6
600 m.
Answers
Answer:
50%.......
Explanation:
is the correct check it then send feedback
A conductor differs from an insulator in that a conductor.
Answers
Answer:
has free electrons
Explanation:
A conductor has free electrons while an insulator does not. Free electrons are electrons which are not bounded tightly to their parent atoms, and are free to move given the right conditions (ie. a strong EM field).
at what distance is an object, to the nearest km, if its parallax angle is 0.45 degrees as measured from a baseline of 2000 km?
Answers
The distance to the object is approximately 127,907.8 km to the nearest km.
The formula to calculate the distance to an object using its parallax angle is:
distance = (baseline) / (2 * tan(parallax angle))
In this case, the baseline is 2000 km and the parallax angle is 0.45 degrees. To convert the angle to radians, we multiply by pi/180:
distance = (2000 km) / (2 * tan(0.45 * pi/180))
distance = (2000 km) / (2 * tan(0.007854))
distance = (2000 km) / (2 * 0.007854)
distance = (2000 km) / (0.01571)
distance = 127907.8 km
Therefore, the distance to the object is approximately 127,907.8 km to the nearest km
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A double inclined plane that moves is a(n) .
Answers
Answer:
a wedge.
Explanation:
it moves when you apply force to one end of the wedge.
14. All motion is relative to a reference point. (5 points)
True
False
Answers
Answer:
yes
Explanation:
All Motion is relative to a reference point. Object appears to move whether object moves, the reference point moves, or both move. is the distance traveled by an object over the period of time in which it moved. Ex - a racecar driver completes a three-mile lap in 60 seconds.
The statement "All Motion is relative to a reference point." is True.
What is frame of reference?An inertial frame of reference is a frame of reference in which the Newton's laws are valid. In this frame of reference, the objects do not accelerate without any external force. All frames of reference moving with constant velocity are considered stationary.
In a non-inertial frame of reference, the Newton's laws will not work. They are moving with an acceleration.
All Motion is relative to a reference point. Object appears to move, the reference point moves, or both move is the distance traveled by an object over the period of time..
Thus, the statement "All Motion is relative to a reference point." is True.
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Alisa, a skateboarder, is riding down a hill. If Alisa and the skateboard are considered a single object, what forces are acting on her? Check all that apply.
Answers
Answer: gravity
normal force
friction
Explanation:
A force is refered to as the interaction which when unopposed, will lead to a change in an objects motion. The velocity of an object will be changed when force is applied.
Since Alisa s riding down a hill and she and the skateboard are considered to be a single object, then the forces that are acting on her include gravity, normal force and friction.
3 examples of newtrons 2 law
Answers
Explanation:
1) Kicking a ball.
2) Capture the ball by hand.
3) Push a car.
Match each variable to the unit associated with it.
Answers
The units of the derived quantities are matched as;
P → wattsW → Joulesη → %IMA → no unitsWhat is derived units?
Derived units are units of measurement derived from the seven base units specified by the International System of Units (SI).
The following are some derived quantities and their corresponding derived units.
Power, P, is measured in wattsWork, W, is measured in JoulesEfficiency, η, is measured in percentage ( % ) Ideal mechanical advantage ( IMA ), is dimensionless because it is the ratio of output force to input force. So it will have no units.Learn more about derived units here: https://brainly.com/question/5114086
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1. A cubical block of wood (of unknown density), 10.0 cm on a side, floats at the interface between oil and water with its lower surface 1.50 cm below the interface. The density of the oil is 790 kg/m3 . (The density of water is 1000 kg/m3 .) What is the gauge pressure at the upper face of the block
Answers
The gauge pressure at the upper face of the block is 102400 Pa.
The buoyant force on the block is equal to the weight of the water displaced by the block. Let V be the volume of the block below the interface. Then, the volume of water displaced by the block is also V, and the weight of the displaced water is given by:
W_water = V * ρ_water * g
where ρ_water is the density of water and g is the acceleration due to gravity.
Similarly, the weight of the oil displaced by the block is given by:
W_oil = (V + 0.015 L^2) * ρ_oil * g
where L is the length of one side of the cube and ρ_oil is the density of oil.
Since the block is in equilibrium, the buoyant force must be equal to the
weight of the block:
W_block = V * ρ_block * g
where ρ_block is the density of the block.
Equating the buoyant force to the weight of the block, we get:
V * (ρ_block - ρ_water) * g = V * ρ_water * g + (V + 0.015 L^2) * ρ_oil * g
Simplifying and solving for ρ_block, we get:
ρ_block = ρ_water + (ρ_oil - ρ_water) * (1 + 0.015 (L/10)^2)
Substituting the given values, we get:
ρ_block = 1000 + (790 - 1000) * (1 + 0.015 (10/10)^2) = 845 kg/m^3
Since the block is in equilibrium, the pressure at the upper face of the block must be equal to the atmospheric pressure plus the gauge pressure due to the weight of the water above the block:
P = P_atm + ρ_water * g * h
where h is the height of the water column above the block.
Using the given values, we get:
P = 101325 + 1000 * 9.81 * 0.015 = 102400 Pa
Therefore, the gauge pressure at the upper face of the block is 102400 Pa.
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A baseball with a mass of 0. 15 kilograms collides with a bat at a speed of 40 meters/second. The duration of the collision is 8. 0 x 103 seconds. The
ball moves off with a speed of 50 meters/second in the opposite direction. What is the value of the force?
Answers
The value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.
When an object collides with another object, they exchange energy. For example, a baseball and bat collision or a car collision. When two objects collide, the force of the collision has to be equal on both sides of the collision according to Newton's Third Law. So, to find the value of force, we will apply the equation:
F = ΔP / ΔT
where F is the force, ΔP is the change in momentum, and ΔT is the time of collision. The equation represents the impulse momentum theorem.
Now, let's apply the given values to the above equation.
Final momentum (p2) = mass × final velocity (v2)
p2 = 0.15 kg × (-50 m/s)
p2 = -7.5 kg.m/s
Initial momentum (p1) = mass × initial velocity (v1)
p1 = 0.15 kg × (40 m/s)
p1 = 6 kg.m/s
Change in momentum (ΔP) = p2 - p1
ΔP = -7.5 kg.m/s - 6 kg.m/s
ΔP = -13.5 kg.m/s
Time of collision (ΔT) = 8.0 × 10³ s
Now, putting the values of ΔP and ΔT in the equation of impulse momentum theorem, we get:
F = ΔP / ΔT
F = -13.5 kg.m/s ÷ 8.0 × 10³ s
F = -1.7 × 10⁻³ N
Thus, the value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.
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What is this? Any help?
Answers
Answer:
the third one
Explanation:
she is using a card instead of paper
Read the following dream interpretation and answer the question that follows.
"I suspect that the patient's dream of being chased originates from his unresolved feelings of guilt during childhood."
What perspective of dream interpretation is being offered?
A. Freudian
B. activation-synthesis
C. Jungian
D. motivation
Answers
Answer:
Freudian
Explanation:
Answer:
Freudian
Explanation:
Figure 1.18 shows an oscillating pendulum. If the time taken for the pendulum to swing from A to C to B is 3 s, what is the period of the pendulum?
Answers
Answer:
a
Explanation:
A horizontal force of 40N acting on a block on a frictionless level surface produces an acceleration of 2.5m/s². A second block with a mass of 4.0 kg is dropped onto the first. What is the magnitude of the acceleration of the combination if the same force continues to act? (Show work)
Answers
Answer: 1.25 m/s²
Explanation:
The force acting on the block, F = 40 N
The acceleration of the block, a = 2.5 m/s²
The mass of the first block, m1 = unknown
The mass of the second block, m2 = 4.0 kg
From the equation F = ma, we know that the force is equal to the product of mass and acceleration.
For the first block:
F = m1a
40 N = m1 x 2.5 m/s²
m1 = 16 kg
Now we can find the total mass of the system:
m_total = m1 + m2
m_total = 16 kg + 4 kg
m_total = 20 kg
The force continues to act on the combined blocks with a total mass of 20 kg, so we can use the equation F = ma again to find the acceleration of the combined blocks:
F = m_total x a
40 N = 20 kg x a
a = 40 N / 20 kg
a = 2 m/s²
Therefore, the magnitude of the acceleration of the combination of blocks is 1.25 m/s².
The force acting on the block, F= 40 N
The mass of the first block, m1= x
The mass of the second block,m2= 4kg
From the equation F= ma, we know that the force= m*a
The acceleration speed of the block a= 2.5m/s
For the first block:
F= M*A
40 N= m1*2.5m/s
m1= 16 kg
Now we can easily find the total mass of the body:
m_total= m1+m2
m_total= 16+4
m_total= 20kg
The force continues to act on the combined blocks with a total mass of 20kg. Hence, we can use F= M*A to find the acceleration of combined blocks:
40 N= 20 kg * a
a= 40 N/20 kg
a= 2m/s
Hence, the combined magnitude of the acceleration of blocks will be 1.25m/s.
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A solid sphere and a hollow sphere, both uniform and having the same mass and radius, roll without slipping toward a hill with the same forward speed V. Which sphere will roll farther up the hill?
Answers
The solid sphere and the hollow sphere will have different rolling motions due to their different moments of inertia. The moment of inertia of a solid sphere is greater than that of a hollow sphere with the same mass and radius because the solid sphere has more mass distributed further from its axis of rotation.
As a result, the solid sphere will roll slower than the hollow sphere, but will have more rotational energy and be able to roll farther up the hill due to its greater inertia.
Therefore, the solid sphere will roll farther up the hill than the hollow sphere, even though they have the same mass and radius and are rolling with the same forward speed V.
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The graph of a falling ball is represented by the equation d = (7 m/s^2)t² +27 m where
d is in meters and t is in seconds. What distance has the ball fallen after 6.00 s?
Answers
\(d = (7 \times {6}^{2} + 27)m\)
\(d = (252 + 27)m\)
\(d = 279m\)
Part C
The driver continues in the same direction, but stops again approximately at the point (5. 2, 3. 0).
What is the car's position on the track relative to its starting point? Had the car made more or less than 1
revolution around the track when it stopped the second time? Explain
Answers
1. He has done more than I revolution of the track.
And let x=5·2 =) cos 0 = 5.2 6 => 0=29.9°
1.. Driver has is A " 360° 12 path ahead of the origin.
How do we calculate?We now know that driver is currently on the position (-3.5-4.9),i.e. in third quadrant.
Driver will stop at (5.2.3) which is in first quadrant.
So, if the driver is going in anticlockwise direction, be has to cross the initial point, i.e. (6,0).
We now know that driver is currently on the position (-3.5-4.9),i.e. in third quadrant.
The Driver will stop at (5.2,3) which is in first quadrant So, if the driver is going in anticlockwise direction, be has to cross the initial point, i.e. (6,0).
1. He has done more than I revolution of the track.
And let x=5.2 =) cos 0=5.2 6 -> 0=29.9°
.. Driver has is A = ! path ahead of the origin. 360° 12
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The car's position on the track relative to its starting point is approximately 6.00 units away.
To determine the car's position on the track relative to its starting point, we need to calculate the distance between the starting point and the current position of the car.
The starting point is given as (0, 0, 0) in three-dimensional space (x, y, z).
The second stop position is given as: (5.2, 3.0).
To calculate the distance between two points in three-dimensional space, we can use the distance formula:
Distance = √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²)
Using the formula, we can calculate the distance:
Distance = √((5.2 - 0)² + (3.0 - 0)² + (0 - 0)²)
= √(5.2² + 3.0² + 0²)
= √(27.04 + 9.0)
= √36.04
≈ 6.00
Therefore, the car's position on the track relative to its starting point is approximately 6.00 units away.
To determine whether the car made more or less than 1 revolution around the track, we need additional information. The distance traveled from the starting point to the first stop is not provided.
If we assume the car's path is a circular track, the distance traveled for one revolution would be the circumference of the circle.
Circumference = 2πr
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whether a truck comes to a stop by crashing into a haystack or a brick wall, the stopping force is
Answers
i think the stopping force would be different as a haystack has less friction whilst the brick wall would have more friction
Explanation:
Which vector has an x-component with a length of 4?
Answers
Answer:
C.) vector C
Explanation:
From the graph provided:
Four vectors are present :
Vectors a, b, c and d.
The x-component of the vector is its magnitude along the x-axis.
Taking the coordinate of each vector:
Vector a = (1,4) : length of x- component = 1
Vector b = (1, 1) : length of x- component = 1
Vector c = (4, -4) : length of x- component = 4
Vector d = (-3, 4) : length of x- component = - 3
Therefore, vector c has an x-component length of 4
What color would a red apple appear to be if you shine a blue light on it?
Answers
If you shine a blue light on a red apple, the apple would appear to be black or very dark. This is because the color of an object is determined by the wavelengths of light that it reflects.
. A red apple appears red because it reflects wavelengths of light that correspond to the color red, while absorbing other wavelengths. When a blue light is shone on the apple, the wavelengths of light that the apple would normally reflect are being absorbed by the blue light, making the apple appear to be a darker color.
This phenomenon is called subtractive color mixing, where the colors of objects are determined by the colors of the light that are absorbed, or subtracted, by the object.
In this case, the blue light is subtracting the colors that the apple would normally reflect, resulting in a darker appearance. It is important to note that the apple is still red, but the blue light is altering our perception of its color due to subtractive color mixing.
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what phase difference between two otherwise identical traveling waves, moving in the same direction along a stretched string, will result in the combined wave having an amplitude 1.8 times that of the common amplitude of the two combining waves? express your answer in (a) degrees, (b) radians, and (c) as a fraction of the wavelength. (a)
Answers
Phase difference between two otherwise identical traveling waves, moving in the same direction along a stretched string, will result in the combined wave having an amplitude 1.8 times that of the common amplitude of the two combining waves
(a) The phase difference between two otherwise identical traveling waves resulting in the combined wave having an amplitude 1.8 times that of the common amplitude of the two combining waves is 180°. In radians this is equal to π radians. As a fraction of the wavelength, this is 0.5λ.
The phase difference of 180°, or π radians, indicates that the two waves are exactly out of phase. This means that when the crest of one wave arrives, the trough of the other wave is also arriving, and vice versa. As a result, the two waves combine to produce a wave with an amplitude 1.8 times that of the common amplitude of the two combining waves. This is due to the constructive interference of the waves, where the crests and troughs of the waves add together to produce a wave with a larger amplitude than the original waves.
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