(a) The total distance traveled by the car is 120 km.
(b) The total displacement of the car from A to G is 15 km.
(b) The average speed of the car for the first 8 hours is 11.25 km/h.
(c) The average velocity of the car from the start to the end is 8.57 km/h.
(d) The acceleration of the car during the first 2 hours is 7.5 km/hr².
(e) The motion of the car between B to C is constant.
What is the total distance traveled by the car?
The total distance traveled by the car is calculated by applying the following formula.
total distance = area of the two shape formed.
Area = ¹/₂ (8 + 4)x15 + ¹/₂(4)x15
Area = 90 km + 30 km
Area = total distance = 120 km
The total displacement of the car from A to G is calculated as follows;
Area = ¹/₂(2)x15
Area = displacement = 15 km
The average speed of the car for the first 8 hours is calculated as follows;
V = total distance / total time
total distance = ¹/₂ (8 + 4)x15 = 90 km
V = 90 km/8hr
V = 11.25 km/hr
The average velocity of the car from the start to the end;
V = total displacement / total time
V = ( 120 km ) / (14 hr)
V = 8.57 km/h
The acceleration of the car during the first 2 hours is calculated as follows;
a = Δv/Δt
v = 15 km/hr/ (2hr)
v = 7.5 km/hr²
The motion of the car between B to C can be described as a constant motion, since the car is moving at a constant velocity of 15 km/h.
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Help please please
is calculate total distance travelled
Here's the fact that you need to know:
"The AREA under a speed/time graph is the distance traveled during the time covered by the graph."
Now ... What's the area of that nice trapezoid on the graph ?
Hint: Area of a trapezoid is
(1/2) • (height) • (base-1 + base-2)
if you are riding in a car that suddenly turns to the right, why do you tend to slide to the left side?
Four atoms of hydrogen combine with one carbon atom to form CH4, but only two hydrogen atoms combine with one oxygen atom to form H2O. Which of the following helps to explain why?
Hydrogen has one valence electron.
Oxygen has two vacancies in its electron shell, but carbon has four vacancies.
Metallic bonds form between positively charged metal ions and delocalized electrons.
Atoms may share electrons in order to fill their electron shells.
Answer:
Oxygen has two vacancies in its electron shell, but carbon has four vacancies.
Explanation:
Oxygen has vacant space for two electrons in its outermost shell. Hence, it can accommodate two electrons from two hydrogen atoms. This leads to the formation of the H₂O molecule. On the other hand, the Carbon atom has vacant space for four electrons. Hence, it can accommodate four electrons from four hydrogen atoms. This leads to the formation of the CH₄ molecule.
In this way the explanation can be provided by the following statement:
Oxygen has two vacancies in its electron shell, but carbon has four vacancies.
Answer:
-Atoms may share electrons in order to fill their electron shells.
- Hydrogen has one valence electron.
- Oxygen has two vacancies in its electron shell, but carbon has four vacancies.
Explanation:
just did it
An object accelerates 2 m/s2 when an unknown force of 20 N is applied to it. What was the mass of the object?
Answer:
10 kgExplanation:
The mass of an object given only the force acting on it and it's acceleration can be found by using the formula
\(m = \frac{f}{a} \\ \)
f is the force in N
a is the acceleration in m/s²
We have
\(m = \frac{20}{2} = 10 \\ \)
We have the final answer as
10 kgHope this helps you
You have just connected two routers through their serial ports in a back-to-back configuration. You've already configured IP addresses on the Fa0/0 and Fa0/1 interfaces for both routers and have configured a static route on each router for the networks accessible through the other router. You need to complete the configuration by configuring the serial link between the two routers. Remember that a 30-bit mask has a magic number of 4. Valid subnets are 192.168.2.0, 192.168.2.4, 192.168.2.8, etc. The seventh subnet is 192.168.2.24. The first valid address on that subnet is 192.168.2.25. The last valid address on that subnet is 192.168.2.26. A 30-bit mask uses a mask value of 255.255.255.252. In this lab, your task is to: Assign an IP address to each serial interface. Use the seventh subnet on network 192.168.2.0 using a 30-bit mask: For S0/0/0 on RouterA, assign the first address on the subnet. For S0/0/1 on RouterB, assign the last address on the subnet. Use the show controllers command to identify the DCE device. On the DCE interface, configure a clock rate of 9600 using the clock rate command. Bring both interfaces up. Save the changes on both routers.
To complete the configuration as described, follow the steps below:
1. Assign IP addresses to the serial interfaces:
- On RouterA's S0/0/0 interface, assign the first address on the subnet: 192.168.2.25 with a 30-bit mask (255.255.255.252).
- On RouterB's S0/0/1 interface, assign the last address on the subnet: 192.168.2.26 with a 30-bit mask (255.255.255.252).
Here's an example of how you can configure the IP addresses on both routers: ```plaintext
RouterA# configure terminal
RouterA(config)# interface Serial0/0/0
RouterA(config-if)# ip address 192.168.2.25 255.255.255.252
RouterA(config-if)# no shutdown
RouterA(config-if)# exit
RouterA(config)# exit
RouterB# configure terminal
RouterB(config)# interface Serial0/0/1
RouterB(config-if)# ip address 192.168.2.26 255.255.255.252
RouterB(config-if)# no shutdown
RouterB(config-if)# exit
RouterB(config)# exit
```2. Use the `show controllers` command on RouterA to identify the DCE (Data Communications Equipment) device. The DCE device is the one that provides clocking on the serial interface.
```plaintext
RouterA# show controllers Serial0/0/0
``` Look for the line that indicates the DCE status, which should mention something like "Clock rate 9600" or "DCE V.35."
3. Configure the clock rate on the DCE interface:
- Assuming RouterA is the DCE device based on the previous step, configure the clock rate of 9600 on RouterA's Serial0/0/0 interface.
```plaintext
RouterA# configure terminal
RouterA(config)# interface Serial0/0/0
RouterA(config-if)# clock rate 9600
RouterA(config-if)# exit
RouterA(config)# exit
```4. Bring both interfaces up:
- On RouterA:
```plaintext
RouterA# configure terminal
RouterA(config)# interface Serial0/0/0
RouterA(config-if)# no shutdown
RouterA(config-if)# exit
RouterA(config)# exit
``` - On RouterB:
```plaintext
RouterB# configure terminal
RouterB(config)# interface Serial0/0/1
RouterB(config-if)# no shutdown
RouterB(config-if)# exit
RouterB(config)# exit
```5. Save the changes on both routers:
- On RouterA:
```plaintext
RouterA# write memory
``` - On RouterB:
```plaintext
RouterB# write memory
```
By following these steps, you should have completed the configuration of the serial link between the two routers in a back-to-back configuration.
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Can someone help me please
Two skaters A and B. having masses 50 kg and
70 kg respectively, stand facing each other 6 m
apart on a horizontal smooth surface. They pull
on a rope stretched between them. How far does
each move before they meet?
(A) both move 3 m
(B) A moves 2.5 m and B moves 3.5 m
(C) A moves 3.5 m and B moves 2.5 m
(D) both move 4 m
(E) none of the above
Answer:
Explanation:
Hell im good dude
HELPPP!!! I will give Brainliest!!! super easy question
I have a question. If a question has the numbers 500kg and 3000N, how many significant digits should the answer have?
Answer:
most likely just 1
Explanation:
I sucked at sig figs in middle school, in fact it was the lowest test grade i ever received, but it is relatively simple.
because there is only one sig fig involved in each number, there can't be multiple sig figs here. 3000/500=6
500/3000=2(round up from 1.66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666) you get the point.
catching a wave, a 73.2-kg surfer starts with a speed of 1.44 m/s, drops through a height of 1.84 m, and ends with a speed of 8.89 m/s. how much nonconservative work was done on the surfer?
The nonconservative work done on the surfer is 2845.5 J.
We can use the work-energy theorem to solve this problem. The work-energy theorem states that the net work done on an object is equal to its change in kinetic energy. In this case, we can calculate the initial and final kinetic energies of the surfer and find the difference, which will give us the net work done.
The initial kinetic energy of the surfer is:
\(K_i = (1/2) * m * v_i^2\)
\(K_i = (1/2) * 73.2 kg * (1.44 m/s)^2\)
K_i = 75.7 J
The final kinetic energy of the surfer is:
\(K_f = (1/2) * m * v_f^2\)
\(K_f = (1/2) * 73.2 kg * (8.89 m/s)^2\)
K_f = 2921.2 J
The change in kinetic energy is:
ΔK = K_f - K_i
ΔK = 2921.2 J - 75.7 J
ΔK = 2845.5 J
According to the work-energy theorem, this change in kinetic energy must be equal to the net work done on the surfer. Therefore, the nonconservative work done on the surfer is:
W_nc = ΔK
W_nc = 2845.5 J
So, the nonconservative work done on the surfer is 2845.5 J.
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A toy train moves round a circular track of radius 0.50 m.
How many radians has the trained turned through in moving 1.4 m along a track?
Answer:
2.8 radians
Explanation:
\(s = r \beta \\ 1.4 = 0.50 \beta \\ \beta = 2.8 \: rad\)
how much time does it take to roll a ball 2 meters on a steep slope
Answer:
asdadsadada
Explanation:
When light goes straight through a medium that means it has been
Question 8 options:
absorbed
reflected
transmitted
Answer:
Reflected
Explanation:
During the process of reflection whatever that is sent forth e.g light comes back (reflects)
Answer:
transmitted
Explanation:
took quiz
The electric force between two charged balloons is 0.12 newtons. If the distance between the two balloons is halved, what will be the new force?
A.
0.03 newtons
B.
0.06 newtons
C.
0.36 newtons
D.
0.48 newtons
Answer:
d. 0.48
Explanation:
What is an infrared camera simple definition
IN OWN WORDS!!!!!!!!!!
explain like you would to a kid pls
Answer:
An infrared camera – also called IR camera, thermal means heat it can track your heat camera or thermal camera – is a measuring by instrument it means its a measuring tool
used for non-contact measurements of the surface temperature of objects.
Explanation:
kids are oof
Suzy drives 10 miles north then drives 24 miles west. What is her total distance traveled?
Answer:
34
Explanation:
if an ocean has a wavelength of 2 m and a frequency of 1 wave/s then it's speed is ___ m/s.
2/28 the 230,000-lb space-shuttle orbiter touches down at about 220 mi ∕ hr. at 200 mi ∕ hr its drag parachute deploys. at 35 mi ∕ hr, the chute is jettisoned from the orbiter. if the deceleration in feet per second squared during the time that the chute is deployed is −0.0003v2 (speed v in feet per second), determine the corresponding distance traveled by the orbiter. assume no braking from its wheel brakes.
The corresponding distance traveled by the orbiter is 1,728.05 feet. Given that the deceleration in feet per second squared during the time that the chute is deployed is −0.0003v2 (speed v in feet per second), the corresponding distance traveled by the orbiter can be found using the equation below;
The equation is:ds=∫v₁ᵛ₂dt Let's put in the values we have;v₁ = 200 mi/hr = 200 * 1.467 = 293.4 ft/s, v₂ = 35 mi/hr = 35 * 1.467 = 51.345 ft/s
∫ds= ∫v₁ᵛ₂ dt = ∫v₁ᵛ₂ (-dv/0.0003v²) = [-1/0.0003 ∫(1/v²)dv] from v₁ to v₂= [-1/0.0003 (-1/v)] from v₁ to v₂ = [1/0.0003 (1/v₁ - 1/v₂)]
The distance covered by the shuttle during the time that the chute is deployed is given by 1/0.0003 (1/v₁ - 1/v₂).∴ d = 1/0.0003 (1/293.4 - 1/51.345) = 1,728.05 feet. Therefore, the corresponding distance traveled by the orbiter is 1,728.05 feet.
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The voltage V, in an electric circuit is measured in millivolts (mV) and is given by the formula
V=0.2sin0.1π(t -0.5)+0.3, where t is the time in seconds from the start of an experiment. Use the graph of the function to estimate how many seconds in the 40 second interval starting at t = 0 during which the voltage is below
0.21mV.
Select one:
a. 14.06
b. 7.03
c. 12.97
d. 27.16
The number of seconds in the 40 second interval starting at t = 0 during which the voltage is below 0.21m V is: 19.06 - 7.03 = 12.03 s = 12.97 (approx.) Thus, the correct option is (c) 12.97.
The voltage V, in an electric circuit is measured in millivolts (mV) and is given by the formula V=0.2
sin0.1π(t -0.5)+0.3, where t is the time in seconds from the start of an experiment. We have to use the graph of the function to estimate how many seconds in the 40 second interval starting at t = 0 during which the voltage is below 0.21mV.
Graph of the given function is shown below:
Graph of the given function
As per the graph, it is observed that the voltage is below 0.21 mV from 7.03 s to 19.06 s.
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9. Thermal energy (heat) is defined as
A. the sum of all the kinetic energies of all the particles in an object
B. the average of all the kinetic energies of all the particles in an object
C. the sum of all the numbers of particles in an object
D. the average number of particles in an object
Answer:
The correct answer is A. Thermal energy (heat) is defined as the sum of all the kinetic energies of all the particles in an object.
If a tow truck pulls a 907 kilogram pickup with a force of 1500 Newtons. How fast do the trucks accelerate?
Answer:
accelaration= 1.654 m/s²
Explanation:
accelaration= force/mass
a= \(\frac{F}{m}\)
a= \(\frac{1500}{907}\)
a= 1.654 m/s²
what is the color that makes purple ?
ANSWER RED)BLUE
Answer:
both
Explanation:
really you don't know something from kindergarden
What is the concentration of H^ + at apH = 2 ? Mol / L What is the concentration of H^ + ions at apH = 6 ? Mol/L How many more H^ + ions are there in a solution at a pH = 2 than in a solution at a pH = 6?
Answer:
The concentration of hydrogen ion at pH is equal to 2 :\(= [H^+]=0.01 mol/L\)
The concentration of hydrogen ion at pH is equal to 6 : \([H^+]'=0.000001 mol/L\)
There are 0.009999 more moles of \(H^+\) ions in a solution at a pH = 2 than in a solution at a pH = 6.
Explanation:
The pH of the solution is the negative logarithm of hydrogen ion concentration in an aqueous solution.
\(pH=-\log [H^+]\)
The hydrogen ion concentration at pH is equal to 2 = [H^+]
\(2=-\log [H^+]\\\)
\([H^+]=10^{-2}M= 0.01 M=0.01 mol/L\)
The hydrogen ion concentration at pH is equal to 6 = [H^+]
\(6=-\log [H^+]\\\\\)
\([H^+]=10^{-6}M= 0.000001 M= 0.000001 mol/L\)
Concentration of hydrogen ion at pH is equal to 2 =\([H^+]=0.01 mol/L\)
Concentration of hydrogen ion at pH is equal to 6 = \([H^+]'=0.000001 mol/L\)
The difference between hydrogen ion concentration at pH 2 and pH 6 :
\(= [H^+]-[H^+]' = 0.01 mol/L- 0.000001 mol/L = 0.009999 mol/L\)
Moles of hydrogen ion in 0.009999 mol/L solution :
\(=0.009999 mol/L\times 1 L=0.009999 mol\)
There are 0.009999 more moles of \(H^+\) ions in a solution at a pH = 2 than in a solution at a pH = 6.
A roller coaster car has a mass of 840 kg. It is launched horizontally from a giant spring, with spring constant 31,000 n/m into a frictionless vertical loop-the-loop track of radius 6. 2m. What is the minimum amount that the spring must be compressed if the car is to stay on the track?.
The minimum amount that the spring must be compressed if the car is to stay on the track is 8.373 Xa.
let A be the starting point
Let B be the loop's top.
Given that K=31,000 N/m, m=840 kg, and r=6.3 m
Early Compression
Xa = ?
Final (spring is in natural state then) (spring is in natural state then)
Xb = 0
Please remember to find the minimal compression now. When the roller coaster is almost at separation, which means the normal force is equal to zero, we need to determine the velocity at the top of the hoop.
total force C = Mac
mVb = mVb²/R
We now use the work energy technique.
-(1/2) * k* (Xb²-Xa²) - mg(2r) = m * (Vb²-Va²) * (1/2)
Va = 0\s
Xb = 0\s-(1/2) * k * (-Xa^2) - mg(2r)
= (1/2)*(m*Vb*2) (1/2)*(k*Xa*2) - mg(2r)
= m * Vb * (1/2)
Isolate the deformation
Using algebra, Xa of the spring equals (1/2) * k * (Xa2) = (1/2) * m * Vb2 + mg (2r)
Substituting m/k * (gR) + m/k * g* into Vb²/ Xa²
2.89 m for 4r Xa²
= 8.373 Xa.
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find the moments m x , m y and the mass m , of the triangular lamina defined by the vertices (0,0), (0,3) and (6,3). the density function is rho ( x , y )
To find the moments and mass of the triangular lamina, we first need to determine the density function rho(x, y). Once we have the density function, we can calculate the moments mx and my and the mass m.
Given that the vertices of the triangular lamina are (0,0), (0,3), and (6,3), we can see that the base of the triangle is 6 units long, and its height is 3 units. Therefore, the area of the triangular lamina is (1/2) * base * height = (1/2) * 6 * 3
= 9 square units.
To find the density function rho(x, y), we need more information. The density function represents how the mass is distributed over the lamina. Without this information, we cannot proceed with finding the moments and mass accurately.
To find the moments mx and my, we need to integrate the product of the density function rho(x, y) and the coordinates x and y, respectively, over the triangular lamina. The moments mx and my can be calculated using the following formulas:
mx = ∫∫ x * rho(x, y) dA
my = ∫∫ y * rho(x, y) dA
where dA represents the infinitesimal area element.
To find the mass m, we need to integrate the density function rho(x, y) over the triangular lamina. The mass m can be calculated using the following formula:
m = ∫∫ rho(x, y) dA
However, since we don't have the density function rho(x, y) given, we cannot determine the moments mx and my or the mass m accurately.
In order to find the moments mx and my and the mass m of the triangular lamina, we need to know the density function rho(x, y). Without this information, we cannot proceed with the calculations. It is important to have all the necessary data and information to accurately solve problems involving moments and mass.
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NASA is conducting a test with the Perseverance Rover to investigate the gravity on Mars. They test a pendulum with a length of L on the Earth and find it has a period of 1.0 s. The Perseverance Rover has a similar pendulum with a length of L/2. If the acceleration due to gravity on Mars is 1/3 the acceleration due to gravity on the Earth, what is the period of the Perseverance Rover's pendulum on Mars?
If the time period of the pendulum in earth is 1 seconds, then the length L is 0.24 m. If length in mars is L/2 and acceleration due to gravity is 1/3rd of that of earth, the time period of the pendulum on mars is 1.216 seconds.
What is time period of oscillation ?The time period of oscillation of a pendulum is the time taken to complete oscillation. It is related to the length l, and acceleration due to gravity g as:
T = 2π √l/g
T for earth = 1 s
g for earth = 9.8 m/s²
then l = T/4π² × g
l = 1/4π²× 9.8 m/s²
= 0.24 m
If in mars L = L/2 = 0.24 /2 = 0.12 m
g = 9.8 m/s²/3 = 3.22m/s²
Then time period T = 2π × √0.12 m/3.22m/s²
T = 1.216 s.
Therefore, the time period of the Rover's pendulum in mars is 1.216 seconds.
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A block is attached to the end of a horizontal ideal spring and rests on a frictionless surface. The block is pulled so that the spring stretches relative to its unstrained length. In each of the following three cases, the spring is stretched initially by the same amount. Rank the amplitudes of the resulting simple harmonic motion in decreasing order (largest first). (a) The block is released from rest. (b) The block is given an initial speed . (c) The block is given an initial speed .
Answer:
The answer is "a, c and b"
Explanation:
Its total block power is equal to the amount of potential energy and kinetic energy.Because the original block expansion in all situations will be the same, its potential power in all cases is the same.Because the block in the first case has no initial speed, the block has zero film energy.For both the second example, it also has the \(v_o\) velocity, but the kinetic energy is higher among the three because its potential and kinetic energy are higher.While over the last case the kinetic speed is greater and lower than in the first case, the total energy is also higher than the first lower than that of the second.The greater the amplitude was its greater the total energy, therefore lower the second, during the first case the higher the amplitude.What length of copper wire (resistivity 1.68x10-8\Omegam) of diameter 0.15 mm is needed for a total resistance of 15\Omega? if 6.00 Ohm resistor is connected to a 12.0 V battery with this wire, what would the voltage drop accross the resistor be? What would the voltage drop accross the wire be?
Answer: (a) The length of the wire with a diameter of 0.15m and 15-ohm resistance is 15.77 m
(b) There is no voltage drop in the resistor but there is a voltage drop of 2 V in the wire
Explanation:
The expression for resistance is R = xL/A, where R is resistance, x is Resistivity, L is the length of the wire and A is the area
Rearranging the equation we get, L = RA/x
The area of a cross-section is A = \(\pi\)(D/2)^2
D in our case is equal to 0.15 x 10^-3 m
x in our case is equal to 1.68 x 10^-8 omega m
Putting all these values in the equation we get L to be equal to 15.77 m
For the second part using our equation V = IR, we can figure out there will be no voltage drop across the resistor but there will be a voltage drop across the wire by 2 V
That is due to the new resistor being added in a series connection and using that information we can find out the current in the wire, as the current stays the same across resistors in a series connection we can find out the voltage in each resistor using our equation V = IR
Subtracting it from the initial voltage through the wire will give us the change i.e. of 2 V
an electric circuit was accidentally constructed using a 7.0µf capacitor instead of the required 16µf value. without removing the 7.0µf capacitor, what can a technician add to correct this circuit?
To correct the circuit without removing the 7.0µF capacitor, the technician can add an additional 9.0µF capacitor in parallel.
To find the total capacitance when capacitors are connected in parallel, we simply add their individual capacitances.
Given that the circuit was mistakenly constructed with a 7.0µF capacitor instead of the required 16µF capacitor, the technician needs to add a capacitance of 16µF - 7.0µF = 9.0µF to correct the circuit.
By connecting this additional 9.0µF capacitor in parallel with the existing 7.0µF capacitor, the total capacitance of the circuit will be 7.0µF + 9.0µF = 16µF.
To correct the circuit without removing the 7.0µF capacitor, the technician can add an additional 9.0µF capacitor in parallel. This will result in a total capacitance of 16µF, meeting the required value for the circuit.
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Identical point charges (+50 x 10 power -6C) are placed at the corners of a square with sides of 2.0-m length. How much external energy is required to bring a fifth identical charge from infinity to the geometric center of the square?
Answer:
636.4 J
Explanation:
The potential energy between one of the charges at the corner of the square and the fifth identical charge is U = kq²/r where q = charge = +50 × 10⁻⁶ C and r = distance from center of square. = √2 m (since the midpoint of the sides = 1 m, so the distance from the charge at the corner to the center is thus √(1² + 1²) = √2)
Since we have four charges, the additional potential energy to move the charge to the centre of the square is U' = 4U = 4kq²/r
U' = 4kq²/r
= 4 × 9 × 10⁹ Nm²/C² (+50 × 10⁻⁶ C)²/√2 m
= 900 Nm²/√2 m
= 636.4 J
The total external energy required is 636.4 J.
Electric potential energy:
According to the question, a square of side a = 2m has 4 identical charges on the corners with charge Q = 50×10⁻⁶C.
A fifth identical charge is brought at the geometric center of the square. The geometric center is at the center of the diagonal:
\(r=\frac{a}{\sqrt{2} }=\sqrt{2}\;m\)
The potential energy is a state function which means that it depends on the initial and final position.
Now the energy required is equal to the change in potential energy
\(\Delta U=\frac{1}{4\pi\epsilon_o}\frac{4Q^2}{r}\\\\\Delta U=\frac{4\times9\times10^9\times(50\times10^{-6})^2}{\sqrt{2} } \\\\\Delta U=636.4\;J\)
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If a bullet of mass 50 gm is moving with the velocity of 720 km/hr. Calculate its kinetic energy. Ans: here, mass (m)= 50 gm = 50/1000 kg = 0.05 kg velocity (v) = 720 km/hr= 720×1000/60×60=200m/s kinetic energy = ? We know, K.E.= 1/2 mv^2 = 1/2 × 0.05×(200)^2 = 0.05×40000/2 = 1000j ans. Is it correct???????
Answer:
yes 1000 j as I posted on the same Q elsewhere
Explanation: