Consider a compact car that is being driven
at 98 km/h.
The acceleration of gravity is 9.8 m/s2.
From what height would the car have to be
dropped to have the same kinetic energy?
Answer in units of m.
Answer:
Height h = 37.8 m
Explanation:
Given :
Velocity of car (v) = 98 km / h
Acceleration of gravity = 9.8 m/s²
Computation:
Acceleration of gravity = 9.8 m/s²
Acceleration of gravity = (98)(1,000 m / 3,600 s)
Acceleration of gravity = 27.22 m/s
By using law of conservation of energy ;
(1/2)mv² = mgh
h = v² / 2g
h = 27.22² / 2(9.8)
Height h = 37.8 m
The height from which the car would have to be dropped to have the same kinetic energy is 37.81 meters.
Given the following data:
Velocity = 98 km/h.Acceleration of gravity = 9.8 [tex]m/s^2[/tex]To find the height from which the car would have to be dropped to have the same kinetic energy:
First of all, we would convert the value of velocity in km/h to m/s.
Conversion:
[tex]98 = \frac{98}{3600} \times 1000 = 27.22 \;m/s[/tex]
Applying the law of conservation of energy:
[tex]P.E = K.E\\\\mgh = \frac{1}{2} mv^2\\\\gh = \frac{1}{2}v^2\\\\h= \frac{v^2}{2g}[/tex]
Substituting the given parameters into the formula, we have;
[tex]h = \frac{27.22^2}{2\times 9.8} \\\\h=\frac{741.05}{19.6}[/tex]
Height, h = 37.81 meters
Read more: https://brainly.com/question/23153766
5. Why did people change the Bronx River in the past?
when a glacier came through the Bronx approximately 240,000 years ago it blocked part of the original path of the Bronx river and subsequently reshaped and modified the path of the river over the past 200 years the rivers course has been altered dramatically by human impact and industry.
have a great day ☺
The area under an acceleration vs. time graph can be considered the __________. *
A.Nothing at all
B.Displacement
C.Position
D.Velocity
How much does the earth weigh??
Answer the following questions
Answer:
answer below
Explanation:
2: net force
3: balanced force
4: unbalnced force
i hope this is right
Se sumerge en agua un cubo de un material que tiene una densidad de 0,2Kg/lt, y una
Arista de 9cm. Calcula: La parte del cubo que flota y la parte que se hunde.
a. 18% y 21%
b. 20% y 25%
c. 20% y 26.8%
d. 25% y 31%
Answer:
The percentage of the cube that floats = 80%
The percentage of the cube that sinks =20%
Explanation:
Given that the density of the cube material, [tex]\rho= 0.2 kg/l[/tex]
Length of the sides of the cube, [tex]a= 9 cm[/tex]
So, the volume of the cube, [tex]v=a^3=(9cm)^3=729 cm^3[/tex]
As [tex]1000cm^3= 1 l,[/tex]
so the volume of the cube [tex]v= 729/1000 l = 0.729 l.[/tex]
Hence, the mass of the cube, [tex]m=\fho v = 0.2 \times 0.729 = 0.1458 kg[/tex].
The gravitational force acting on the cube in the downward direction,
[tex]F_c= mg[/tex] [g is the acceleration due to gravity]
[tex]\Rightarrow F_g=0.1458g[/tex] Newtons ...(i)
At equilibrium condition, let x cm of the cube sinks in the water.
So, the volume of the water replaces,
[tex]v_w=9\times 9\times x = 81x cm^3.[/tex]
Or, [tex]v_w= 81 x/ 1000 l = 0.081x l[/tex]
The density of the water, [tex]\rho_w= 1 kg/l[/tex]
So, the mass of water replaced,
[tex]m_w= \rho_w v_w = 1\times 0.081x= 0.081x kg.[/tex]
Now, the buoyancy force acting on the cube in the upward direction,
[tex]F_b = m_w \times g[/tex] [ g is the acceleration due to gravity]
[tex]\Rightarrow F_b= 0.081x\times g[/tex] Newtons ...(ii)
At equilibrium condition, the gravitational force acting on the cube in the downward direction is equal to the buoyancy force acting on the cube in the upward direction, so by from equations (i) and (ii), we have,
[tex]F_g= F_b\\\\\Rightarrow 0.1458g = 0.081x\times g \\\\\Rightarrow 0.081x=0.1458 \\\\\Rightarrow x= 0.1458/0.081 = 1.8 cm[/tex].
So, the part of the cube that sinks = 1.8 cm
As the remaining portion of the cube is floating, so the part of the cube that floats [tex]= 9-1.8= 7.2 cm[/tex].
The percentage of the cube that floats
= [tex]\frac {7.2}{9}\times 100 = 80\%[/tex]
The percentage of the cube that sinks
[tex]= \frac {1.8}{9}\times 100 = 20\%[/tex]
Please note that none of the given options are correct.
PLEASE HURRY Which of the following measurements is a measurement of velocity?
A) 125 cm/s
B) 30 km/h NW
C) 350 m/s N
D) 520 km/h
Answer:
C) 350 m/s N
Explanation:
Velocity is measured in miles per hour or metres per second.
Question 13 Which of the following will NOT occur when water undergoes a physical change? The motion of the molecules increases. The molecules form new chemical bonds. c The molecules become less closely packed. D The kinetic energy of the molecules increases
Answer:
the molecules form new chemical bonds
Explanation:
The circumstance which will not occur when water undergoes a physical change is that the molecules form new chemical bonds. Thus, the correct option for this question is B.
What do you mean by Physical change?Physical change may be defined as a type of change within the compound or things that significantly do not change the chemical properties of the matter. It usually involves the process of transition from one state to another.
When water undergoes a physical change means liquid to solid, solid to liquid, or gas, the motion of the molecules, kinetic energy, and density alter with respect to the state of matter. So, all these attributes are classified into the category of physical change.
Therefore, the molecules forming new chemical bonds is the option that will not occur at any point in time when water undergoes a physical change. Thus, the correct option for this question is B.
To learn more about Physical change, refer to the link:
https://brainly.com/question/960225
#SPJ2
At 4 seconds after starting, a cyclist is traveling 10 m/sec. At 6 seconds, he is traveling 20 m/sec. What is his average acceleration from 4 seconds to 6 seconds?
Answer:
The average acceleration of the cyclist is 5 m/s²
Explanation:
Given;
initial velocity of the cyclist, u = 10 m/s
final velocity of the cyclist, v = 20 m/s
initial time of the cyclist, t₁ = 4 seconds
final time of the cyclist, t₂ = 6 seconds
The average acceleration is given by;
[tex]a = \frac{dv}{dt}\\\\a = \frac{v-u}{t_2-t_1}\\\\a = \frac{20-10}{6-4}\\\\a = 5 \ m/s^2[/tex]
Therefore, the average acceleration of the cyclist is 5 m/s²
An acorn falls 10 meters in 4 seconds. What is its average velocity?
Answer:2.5 meters per second
Explanation:
10/4=2.5
____________ is an out made when a base runner, forced to run because another teammate must run to the base being occupied, cannot reach the next base safely *
A Mars rover has a mass of 955 kg. What is its weight in Newtons on Mars?
(g on Mars = 3.72 m/s2)
Answer:
3552.6N
Explanation:
F=mg
=3.72*955
=3552.6N
Answer:
3552.6N
Explanation:
Why does it rain a lot?
Answer:
Clouds are made up of tiny water droplets. ... As more and more droplets join together they become too heavy and fall from the cloud as rain. Warm air can hold more moisture than cool air. When the warmer air is cooled and the moisture condenses, it often rains more heavily.
Explanation:
hope it helps
Which object most likely has magnetic domains like those shown in the image? A. A piece of wood near a magnet
B. A steel paper clip near a magnet
C. A piece of wood, not near a magnet
D. A steel paper clip, not near a magnet
Answer:
b. A steel paper clip near a magnet
Explanation:
A steel paper clip near a magnet is an object that most likely has magnetic domains because of its inner composition.
What is magnetic domain?A magnetic domain is a part or region within a magnetic substance in which the magnetization is present in a uniform direction.
So we can conclude that a steel paper clip near a magnet is an object that most likely has magnetic domains because of its inner composition.
Learn more about magnet here: https://brainly.com/question/14997726
A 1400-kg car is moving at a speed of 25 m/s. How much kinetic energy does the car have?
Answer:
Kinetic energy=1/2mvsquare
1/2 x 1400 x 25 x25
Therefore kinetic energy= 437500Joules
Explanation:
Answer:
437,500 Joules
Explanation:
KE= 1/2 × M
x V^2, where
M = Mass,
V = Velocity
KE = 1/2 × 1400 × 25^ 2
KE= 1/2 × 1400 × 625
KE = 437,500 Joules.
How much force is required to move a 100kg cart with an acceleration of 2 m/s2?
Answer:
2000 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 = 1000 × 2
We have the final answer as
2000 NHope this helps you
Fun Fact:
One time a professional UFC player tried to fight a 2 year old Grizzly Bear and lost the fight, and lost an Arm
Answer:
Haha
Explanation:
Identify and explain one way in which we try to deal with infiltration? What are the benefits and cost of that particular solution?
Answer:
i vigilate
Explanation:
What are fossil fuels made from?
A. Radioactive Material
B. Harmful Poisons
C. Organic Material
D. Non-Organic Material
Answer:
organic material
Explanation:
2 sfere electrizate cu sarcini egale,situate in vid la distanta de 10 cm una de alta,interactioneaza cu o forta de 0,1 N.Aflati sarcina electrica a uneia din sfere
Răspuns:
1,054 × 10 ^ -6Combombs
Explicaţie:
Conform legii coloumbs, forța de atracție sau repulsie între sarcină este exprimată ca;
F = kq1q1 / r²
F este forța atracției
q1 și q2 sunt taxele
r este distanța dintre sarcini
Deoarece taxele sunt egale, q1 = q2 = q
Ecuația devine
F = kq² / r²
Dat
F = 0,1N
r = 10cm = 0,1m
Necesar
q
Înlocuiți parametrii dați în formulă;
0,1 = 9 × 10 ^ 9q² / 0,1
0,1 × 0,1 = 9 × 10 ^ 9q²
0,01 = 9 × 10 ^ 9q²
q² = 0,01 / 9 × 10 ^ 9
q² = 0,01 / 9.000.000.000
q² = 1,11 × 10 ^ -12
q = √1.11 × 10 ^ -12
q = 1,054 × 10 ^ -6Combombs
Prin urmare, sarcina electrică pe una dintre sfere este de 1,054 × 10 ^ -6Combombs
What is the magnitude of the velocity after it hits the ground?
Answer:
Multiply the time by the acceleration due to gravity to find the velocity when the object hits the ground. If it takes 9.9 seconds for the object to hit the ground, its velocity is (1.01 s)*(9.8 m/s^2), or 9.9 m/s.
Explanation:
56. What is the range of magnitudes that can be attained from the
combination of forces with magnitudes of 7 and 5 N?
Answer:
Explanation:
Given the magnitude of the forces, 7N and 2N, the minimum combining force acting on the forces are when the force's is acting in opposite direction.
Magnitude of the force in opposite direction is 7N - 5N = 2N
The maximum combining force occurs when they act in the same direction. Magnitude of the force in the same direction is 5N+7N = 12N
Hence the range of magnitude requires is 2N≤F≤12N
The acceleration of a particle is given as a = kt2. Where k is a constant coefficient and t is time in seconds. At time t = 0, x = 24 m; At t = 6 seconds, it is x = 96 m and V = 18 m / s. Obtain the path (x) and velocity (V) equations depending on time.
Answer:
s = t⁴/108+6t+24
v = t³/27 + 6
Explanation:
Given the equation of acceleration expressed as a = kt²
t is in seconds
To get the velocity, we will integrate the acceleration function
a = kt²
Integrate both sides
a = kt²
v = ∫kt² dt
v = k ∫t² dt
v = kt³/3 + C1..... *
s = ∫kt³/3 dt+ ∫C1 dt
s = kt⁴/12+C1t + C2
At t = 0, S= 24
24 = k(0)⁴/12 + C1(0)+ C2
24 = C2
s = kt⁴/12+C1t + 24
If at t = 6 seconds, s = 96m
Substitute;
96 = k6⁴/12+6C1+ 24 .... **
Also at t = 6, v = 18m/s
Substitute into *
v = kt³/3 + C1..
18 = k6³/3 + C1..... ***
Solve ** and *** simultaneously and get k and C1
96 = k6⁴/12+6C1+ 24
k6⁴/12+6C1+ = 72 × 1
k6³/3 + C1 = 18 × 6
---------------------------
k6⁴/12+6C1+ = 72
k6⁴/3 + 6C1 = 108
Subtract
[(6⁴k)-4(6⁴k)]/12 = 72-108
-3(6⁴k)/12 = -36
6⁴k/12 = 12
6⁴k = 144
k = 144/1296
k = 1/9
Substitute k = 1/6 into k6³/3 + C1 = 18 and get C1
1/6(216/3) + C1 = 18
12+ C1= 18
C1 = 18-12
C1 = 6
Write s in terms of t;
s = kt⁴/12+C1t + 24
s = 1/9t⁴/12+6t+24
s = t⁴/108 + 6t + 24
Write v in terms of t;
v = kt³/3 + C1
v = 1/9(t³/3)+6
v = t³/27 + 6
what is 40% of 230 i need to know soon plz im only 7
Answer:it's 92 my friend
Explanation:
have a great day
Answer:
92
Explanation:
0.4 · 230 = 92
What are the three main parts that make up GAIA? Briefly explain and describe each.
Answer:
GAIA is composed of three main parts; the astrometry instrument, the photometric instrument, and the radial-velocity spectrometer. The astrometry instrument is used to determine the angular positions of stars to better measure their distances and motions. The photometric instrument measures the luminosity of stars to help determine stellar properties such as temperature, mass, age, and what elements the stars are made up of. The radial-velocity spectrometer will determine the speed of galactic objects along the line of sight.
Explanation:
The three main parts that make up GAIA are :
Astrometry instrument Photometric instrument Radial-velocity spectrometerThe functions of the main parts of GAIA are as follows
The astrometry instrument : It is used to determine the angular positions of the star which aids in the measure of the stars distances and positions.Photometric instrument : It is used to determine the level of luminosity of the stars which aids in determining the age, temperature, mass and components of the stars. Radial-velocity spectrometer : It is used to determine the speed of objects 9 galactic ).Hence we can conclude that the three main parts that make up GAIA are astrometry , photometric instrument and radial-velocity spectrometer
Learn more about GAIA : https://brainly.com/question/14168695
A ball starts from rest at the initial position x; = 0. The
ball has a constant acceleration of 2.4 m/s2. (a) Write
the position-time equation for the ball. (b) What is the
position of the ball at t = 1.0 s? (c) What is its position
at t = 2.0 s?
Answer:
(a) s(t) = 4.9t²
(b) s(1) = 4.9 m
(c) s(2) = 19.6 m
Explanation:
(a)
the position time equation can be formed by using 2nd equation of motion:
s = Vi t + (1/2)gt²
where,
s = position
Vi = Initial velocity = 0 m/s
t = time
g = 9.8 m/s²
Therefore,
s = (0 m/s)t + (1/2)(9.8)t²
s(t) = 4.9t²
(b)
s(1) = 4.9(1)²
s(1) = 4.9 m
(c)
s(2) = 4.9(2)²
s(2) = 19.6 m
We want to get the motion equations of a ball, and we want to use them to find the position of the ball at different times.
The solutions are:
a) P(t) = (1.2 m/s^2)*t^2b) x = 1.2mc) x = 4.8mWe know that the ball starts from rest (so the initial velocity is zero) from the position x = 0.
The ball has a constant acceleration of 2.4 m/s^2
Then the acceleration equation is:
A(t) = 2.4 m/s^2
To get the velocity equation we integrate, remember, the initial velocity is zero, so we don't have a constant of integration:
V(t) = (2.4 m/s^2)*t
To get the position equation we integrate again, and because the initial position is x = 0, we don't have a constant of integration:
P(t) = 0.5*(2.4 m/s^2)*t^2
a) The position equation is:
P(t) = (1.2 m/s^2)*t^2
b) The position of the ball at t = 1s is given by:
P(1s) = (1.2 m/s^2)*(1s)^2 = 1.2m
The ball position at t = 1s is x = 1.2m
c) Similar to the above case:
P(2s) = (1.2 m/s^2)*(2s)^2 = 4.8 m
x = 4.8m
If you want to learn more, you can read:
https://brainly.com/question/2303856
What is the momentum of an 18-kg object moving at 0.5 m/s?
sorry Idk the answer ..???
Help I need it please
why a mirror is good for seeing objects
Answer:
An image can be seen in the mirror because the light reflected from an object falls on the mirror and it is reflected.
A book is being pushed to the right across a desk with a constant acceleration.
What is the force?
Explanation:
The force would be net positive.