A ball is dropped from a 20.0 m high tower.
a. How long will it take the ball to reach the ground?
b. What is the velocity of the ball just before it hits the ground?
Hi there!
We can begin by using the derived kinematic equation:
[tex]t = \sqrt{\frac{2h}{g}[/tex]
Plug in the given values and let g = 9.8 m/s²:
[tex]t = \sqrt{\frac{2(20)}{g}} = \boxed{2.02 s}[/tex]
Now, we can solve for its final velocity using the equation:
[tex]v_f = v_i + at[/tex]
It is dropped from rest, so vi = 0 m/s.
[tex]v_f = at[/tex]
[tex]v_f = 9.8(2.02) = \boxed{19.796 m/s}[/tex]
Answer:
a. The ball would reach the ground in approximately [tex]2.02\; \rm s[/tex].
b. The velocity of the ball right before landing would be approximately [tex]19.8\; \rm m\cdot s^{-1}[/tex].
(Assumptions: the ball was dropped with no initial velocity; air resistance on the ball is negligible; [tex]g = 9.81\; \rm m\cdot s^{-2}[/tex].)
Explanation:
Under these assumptions, the acceleration of this ball would be constantly [tex]a = g = 9.81\; \rm m\cdot s^{-2}[/tex] (same as the gravitational field strength) during the descent.
Displacement of the ball: [tex]x = 20.0\; \rm m[/tex].
Initial velocity of the ball: [tex]v_{0} = 0\; \rm m\cdot s^{-1}[/tex].
Let [tex]t[/tex] denote the duration of this descent.
The SUVAT equation [tex]x = (1/2)\, a\, t^{2} + v_{0}\, t[/tex] relates the known quantities [tex]a[/tex], [tex]x[/tex], and [tex]v_{0}[/tex] to the unknown [tex]t[/tex].
Substitute the known quantities into this equation and solve to find the value of [tex]t\![/tex]:
[tex]\displaystyle 20.0\; {\rm m} = \frac{1}{2}\times 9.81\; {\rm m\cdot s^{-2}} \times t^{2} + 0\; {\rm m \cdot s^{-1}} \times t[/tex].
[tex]\displaystyle 20.0\; {\rm m} = \frac{1}{2}\times 9.81\; {\rm m\cdot s^{-2}} \times t^{2}[/tex].
[tex]\displaystyle t^{2} = \frac{20.0\; \rm m}{(1/2) \times 9.81\; \rm m\cdot s^{-2}}[/tex].
Since [tex]t > 0[/tex]:
[tex]\begin{aligned}t &= \sqrt{\frac{20.0\; \rm m}{(1/2) \times 9.81\; \rm m\cdot s^{-2}}} \\ &\approx 2.01928\; \rm s\\ &\approx 2.02\; \rm s \\ & (\text{Rounded to 2 sig. fig.})\end{aligned}[/tex].
Since the acceleration of this ball is constant, the velocity of the ball right before landing would be:
[tex]\begin{aligned}v_{1} &= a\, t \\ &\approx 9.81\; \rm m\cdot s^{-2} \times 2.01928\; \rm s \\ &\approx 19.8\; \rm m \cdot s^{-1} \end{aligned}[/tex].
a comet or asteroid impact on the earth is a frequently suggested cause for many of the mass extinctions. for which of the major mass extinctions does the most evidence exist that this was the main trigger for the event?
Answer:
Cretacious-Tertiary
Explanation:
I hope this helps!
What is the acceleration of a 20 kg backpack lifted with a force of 15 N?
a. 0.75 m/s2
b. 1.33 m/s2
c. 300 m/s2
d. 5 m/s2
The answer is option A. 0.75 m/s^2
the formula needed to solve this is acceleration = force/mass
we know the following:
mass of the backpack = 20KG
the force is 15N
therefor- acceleration = 15/20
which can also be written as 3/4, leaving us with the final answer of .75 m/s^2
Answer:
0.75 m/s2
Explanation:
0.75 m/s2
A 2.3 kg ball has 76 J of kinetic energy. How fast is it moving? Show all work and use correct units of measurement for the answer to get full credit.
Answer:
8.13 m/sExplanation:
The kinetic energy of an object can be found by using the formula
[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]
m is the mass in kg
v is the velocity in m/s
To find the velocity we make v the subject of the equation
That's
[tex]v = \sqrt{ \frac{2k}{m} } \\ [/tex]
From the question
k = 76 J
m = 2.3 kg
We have
[tex]v = \sqrt{ \frac{2 \times 76}{2.3} } = \sqrt{ \frac{152}{2.3} } \\ = 8.129388...[/tex]
We have the final answer as
8.13 m/sHope this helps you
1 point
What is the acceleration of a bicyclist moving at a constant speed of 10
m/s for 5 seconds? *
PLEASE HELP HURRY
Answer:
0
Explanation:
The bicyclist is not speeding up or slowing down so there is no acceleration.
Please help, and give an explanation on what you did. Thanks a lot :]
Answer:
3.0 m
Explanation:
The height of the wave is just 1.5 m + 1.5 m which equals 3.0 m
Match these items. Match the items in the left column to the items in the right column. 1 . gravitational force the physical law nicknamed "action-reaction" 2 . Newton's First Law the physical law that states that planetary orbits are ellipses 3 . Copernican system described as a field 4 . Kepler's First Law the model of a planetary system that has the earth at the center 5 . Kepler's Second Law an example of a heliocentric system 6 . centripetal force the physical law that states that R3\T2 = K for a system 7 . Kepler's Third Law a spacecraft cruising at v = constant with its rockets shut down 8 . geocentric system the physical law that relates acceleration to net force 9 . Newton's Third Law gravitational force that keeps planets in orbit 10 . Newton's Second Law the physical law that states that equal areas are swept out in equal times
Answer:
i can't tell which is left and right
Explanation:
Answer:
1. gravitational force = described as a field
2. Newton's First Law = a spacecraft cruising at v = constant with its rockets shut down
3. Copernican system = an example of a heliocentric system
4. Kepler's First Law = the physical law that states that planetary orbits are ellipses
5. Kepler's Second Law = the physical law that states that equal areas are swept out in equal times
6. centripetal force = gravitational force that keeps planets in orbit
7. Kepler's Third Law = the physical law that states that R3\T2 = K for a system
8. geocentric system = the model of a planetary system that has the earth at the center
9. Newton's Third Law = the physical law nicknamed "action-reaction"
10. Newton's Second Law = the physical law that relates acceleration to net force
pls help me do these physic questions
Answer:
1 since it is meatl and sharp
2 since it is sharp and iron
2. A bowling ball is dropped off a 300 meter high bridge. A water bottle is dropped from
the same position 3 seconds later. How high above the ground is the water bottle, when the
bowling ball has a speed of 64 m/s? *
(2 Points)
A bowling ball is dropped off a 300 meter high bridge. A water bottle is dropped from the same position 3 seconds later. the ground is the water bottle, when the bowling ball has a speed of 64 m/s is zero.
what is speed ?Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
The formula of speed is represented as s=d/t, Where, s is the speed in m.s-1, d is the distance traveled in m, t is the time taken in s
There are four types of speed such as Uniform speed, Variable speed, Average speed, Instantaneous speed
Uniform speed is an uniform speed when the object covers equal distance at equal time intervals, variable speed is defined as when the object covers a different distance at equal intervals of times.
Average speed is defined as the uniform speed the ratio of total distance travelled by an object to the total time taken by the object.
Instantaneous speed is defined as an object is moving with variable speed, then the speed at any instant of time is known as instantaneous speed.
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13. A ball is dropped. According to Newton's Third Law, the action force is the
earth pulling the ball, and the reaction is:
Answer:
the ground when the ball hits it
Explanation:
A ball falls freely towards the Earth. If the action force is the Earth pulling down on the ball, then identify which of the following best describe the reaction force:
Which is the BEST example of physics in the body?
A. a single beat of the heart
B. how the circulatory system works
с. balance when the body is standing still
D. the movement of an arm throwing a ball
The best example of physics in the body is the movement of an arm throwing a ball. The correct option is D.
What is physics?Physics is the branch of science that studies the structure of matter and how the universe's fundamental constituents interact.
It investigates objects ranging from the very small to the entire universe using quantum mechanics and general relativity.
Physics is the natural science that investigates matter, its fundamental constituents, its motion and behavior in space and time, as well as the related entities of energy and force.
Physics is one of the most fundamental scientific disciplines, with the primary goal of understanding how the universe functions.
The movement of an arm throwing a ball is the best example of physics in the body.
Thus, the correct option is D.
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How much work is required for a 74 kg sprinter to accelerate from rest to 2.2 m/s?
Answer:
179.1 kg
Explanation:
Answer:
Should be 179.1 kg
Explanation:
does the cars mass alone determine whether the egg breaks?
Answer:
Sample answer: The mass of the car and the speed of the car (determined by the height of the hill) determine whether the car will break the egg.
how to add ratio numbers can someone give me an exzample
Answer:
When the denominator of both ratios is the same, adding the ratio is simple. You just add the numbers to the left of the colon (this number is called the Ratio Numerator)xplanation:
You increase your walking speed from 1 m/s to 3 m/s in a period of 1 s.
What is your acceleration?
5 m/s2
3 m/s2
2 m/s2
4 m/s2
Answer:
2 m/s2
Explanation:
|acceleration| = (change in speed) divided by (time for the change)
Change in speed = (end speed) minus (start speed)
Initial speed of walking = 1 m/s
Final speed of walking = 3 m/s
Change of speed in walking = (3 - 1) m/s
= 2 m/s
Time in which the change of speed occurred = 1 sec
Then
Acceleration = Change of Speed/ Time taken
= 2/1 m/s^2
= 2 m/s^2
Therefore the answer is 2 m/s2.
The acceleration is 2 m/s².
What is acceleration?Acceleration can be defined as the rate of change of velocity.
The acceleration can be calculated using the formula below.
Formula:
a = (v-u)/t................... Equation 1Where:
a = accelerationv = Final velocityu = Initial velocityt = time.From the question,
Given:
v = 3 m/su = 1 m/st = 1 secondsSubstitute these values into equation 1
a = (3-1)/1a = 2 m/s².Hence, The acceleration is 2 m/s².
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I need to know how to draw the diagram of the last two questions
Answer
In the parallel circuit, you have to position the switch on only one of the loops.
Elements in the periodic table are arranged in order of increasing...
A mass number
B.Number of protons
C. number of neutrons
D. number of nucleons
Answer:
(B) The number of protons - only the number of protons in the nucleus determines the element - mass and neutrons can vary for the same element
IF THE VECTOR COMPONENTS OF VECTOR A ARE MULTIPLIED BY 9 THEN THE MAGNITUDE OF VECTOR A IS INCREASES BY A FACTOR OF .........
Answer:
it increased by 29 sorry hope this helps
Define power and explain how to determine power. (4 points)
The definition of power is operating electrically or having strength or force. An example of power is the functioning of a gasoline-driven saw or tool. Or Power is related to other quantities; for example, the power involved in moving a ground vehicle is the product of the traction force on the wheels and the velocity of the vehicle. The output power of a motor is the product of the torque that the motor generates and the angular velocity of its output shaft. Likewise, the power dissipated in an electrical element of a circuit is the product of the current flowing through the element and of the voltage across the element.
Mushroom is a fungi.
Mushrooms are filamentous fungi that produce large, often edible fruiting bodies. They live on organic material, thriving on compost, fallen leaves and damp wood and any other dead plant or animal matter. Their role in causing decay is important in maintaining ecological cycles.
what will be the effect on gravitational pull between two objects of medium between them is changed
Answer:
force of gravitational attraction between them also decreases.
Explanation:
force of gravitational attraction between them also decreases.
Suppose measure the mass of an orange. Then you peel the orange and separate out the slices. If you measure the orange peel and all the slices, will that mass equal the mass of the whole orange?
yes
no
The mass of the orange after it has been cut into pieces will still remain the same as the mass of the whole orange.
Let us recall that the law of conservation of mass states that, mass can neither be created nor destroyed but is converted from one form to another. In accordance with this law of conservation of mass. The mass of the orange must remain the same after it has been cut in pieces.
Hence, If the mass of an orange is measured after it has been cut into pieces, the mass of the orange after it has been cut into pieces will still remain the same as the mass of the whole orange.
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A race car is traveling at a speed of 80. 0 m/s on a circular racetrack of radius 450 m. What is it's centripetal acceleration in m/s2?.
Answer:
14.2m/s^2
Explanation:
The centripetal acceleration of the race car is 14.22 m/s².
What is centripetal acceleration?Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.
In your daily existence, you must have encountered numerous instances of centripetal acceleration. A centripetal acceleration occurs when you drive in a circle, and a centripetal acceleration also occurs when a satellite orbits the earth. Centripetal refers to being in the center.
Given that: Speed of the race car: v = 80.0 meter/second.
Radius of the racetrack: r = 450 meter.
Hence, the centripetal acceleration of the car is = v²/r
= (80.0)²/450 m/s²
= 14.22 m/s².
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Can you please draw circuit diagram with 5 Ω resistor in series with bulb, switch and 12 V battery?
Answer:
Sorry for the bad drawing, as you have not specified whether is should be open switch or close I have drawn both
I hope it helps.
For a boiling kettle draw a sankey diagram to show where The energy goes
Answer:
draw the picture / (.) (.) \ Patrick star
A ball of mass 0.12kg is hit by a tennis player.
The velocity of the ball changes from 0m/ s to 5.0m/s in 0.60s.
What is the average resultant force acting on the ball while it is being hit?
A 1.0N B 2.5N C 3.6N D 8.3N
Answer:
blah blah blahblah
Explanation:
because math is math and nobody understands it
What is the use of a hydrometer
Answer:
A hydrometer is an instrument used to determine specific gravity
Answer:
it is used determine specific gravity
Explanation:
and u can see them in use by measuring proof of moonshine
Terri is excited about the baby she is carrying in her womb. One day, she tells her
cousin that the child is now the size of a grape. Weeks later, she describes the child as
the size of an apple. A few weeks after that, she describes the child as the size of a
banana. "Seriously, Terri, are you having a baby or shopping for groceries?" asks her
cousin. Terri explains that this is just the easiest way to describe the size of the baby
now that it is a(n)
Zygote
O Fetus
O Embryo
Infant
Answer:
Fetus
Explanation:
the outsiders I got nuggets out of the elder and I get to make it in and I got I got
Path:p
How much zinc oxide 10% cream and zinc oxide 1% cream are needed to make 454 g of zinc oxide 3% cream?
Round your answer to the nearest tenth of a gram.
Paragraph
B
1
=
N
Answer:
.1 A1 = a1 A1 is amount at .1 %
.01 A2 = a2 A2 is the amount at .01%
a1 + a2 = 454 total of a1 and a2
A = 454 / .03 = 15133.33 tot amount needed
454 = .1 A1 + .01 A2
A2 = 15133.33 - A1
454 = .1 A1 + .01 (15133.33 - A1)
454 = .09 A1 + 151.33
A1 = 302.67 / .09 = 3363
A2 = 15133.3 - 3363 = 11770.3
Check:
.1 * A1 = 336.3
.01 * A2 = 117.7
total = 336.3 + 117.7 = 454
a child has the kinetic energy of 71 j the mass of the child is 27kg show that the velocity of the child at this point is 2.3m/s
Explanation:
kinetic energy of child = 1/2 m v^2
71 j. = 1/2×27kg ×v^2
71×2/27= v^2
142/27 = v^2
5.3. =v^2
v= √5.3
v= 2.3 m/s