Answer: 321.027 m/s
Explanation:
First let´s analyze the vertical problem:
Always when an object is above the ground and nothing is holding it (like the bullet after being fired) the gravitational force will start acting on it.
Then the vertical acceleration of the bullet will be the gravitational acceleration, we can write this as:
a(t) = -g
Where g = 9.8m/s^2
and the negative sign is because this acceleration pulls the bullet downwards.
To get the vertical velocity we need to integrate over time, this will lead to:
v(t) = (-9.8m/s^2)*t + v0
where v0 is the initial vertical velocity, as the bullet is fired horizontally, there is no initial vertical velocity, then we have v0 = 0m/s
And the velocity equation is:
v(t) = (-9.8m/s^2)*t
Now for the vertical position, we need to integrate again, to get:
p(t) =(1/2)*(-9.8m/s^2)*t^2 + p0
Where p0 is the initial vertical position, in this case, is 1.9 meters above the ground, then p0 = 1.9m
And the vertical position equation will be:
p(t) = (1/2)*(-9.8m/s^2)*t^2 + 1.9 m
Now we want to find the time such that the vertical position is equal to zero, this will mean that the bullet it the ground.
p(t) = 0m = (1/2)*(-9.8m/s^2)*t^2 + 1.9 m
(1/2)*(9.8m/s^2)*t^2 = 1.9m
(4.9m/s^2)*t^2 = 1.9m
t = √(1.9m/(4.9m/s^2)) = 0.623 seconds.
This means that the bullet will travel for 0.623 seconds before hitting the ground.
Now we also can ignore the air friction for the horizontal motion, then we can assume that the horizontal speed does not change.
Then we can use the relationship:
Distance = speed*time
We know that:
time = 0.623 seconds
distance = 200m
now we can replace that in the equation to find the horizontal speed.
200m = speed*0.623s
200m/0.623s = speed = 321.027 m/s
Particle moves in a circle of radius 90m with a constant speed 25m/s. how many revolution does it make in 30sec
Answer:
n =1.33 revolutions
Explanation:
Uniform Circular Motion
The angular speed can be calculated in two different ways:
[tex]\displaystyle \omega=\frac{v}{r}[/tex]
Where:
v = tangential speed
r = radius of the circle described by the rotating object
Also:
[tex]\omega=2\pi f[/tex]
Where:
f = frequency
Solving for f:
[tex]\displaystyle f=\frac{\omega}{2\pi}[/tex]
Since the frequency is calculated when the number of revolutions n and the time t are known:
[tex]\displaystyle f=\frac{n}{t}[/tex]
We can solve for n:
n=f.t
The particle moves in a circle of r=90 m with a speed v=25 m/s. Thus the angular speed is:
[tex]\displaystyle \omega=\frac{25}{90}[/tex]
[tex]\displaystyle \omega=0.278\ rad/s[/tex]
Now we calculate f:
[tex]\displaystyle f=\frac{0.278}{2\pi}[/tex]
[tex]f=0.04421\ Hz[/tex]
Calculating the number of revolutions:
n = 0.04421*30
n =1.33 revolutions
Billy throws a peach vertically upward. It takes 3 seconds for the peach to land back in his hand. How fast did Billy throw the peach?
Answer:
48 ft/s
Explanation:
Acceleration due to gravity decreased the upward velocity to zero in 1.5 seconds (half the total time), so the initial velocity must have been ...
(32 ft/s^2)(1.5 s) = 48 ft/s
A car is moving at 20 m/s. The driver steps on the gas pedal and accelerates the car for 4 seconds at an acceleration of 4 m/s2. How fast is the car moving after it accelerates?
Answer:
The final velocity of the car is 36 m/s.
Explanation:
Given;
initial velocity of the car, u = 20 m/s
time of the car acceleration, t = 4 s
acceleration of the car, a = 4 m/s²
the final velocity of the car is calculated as;
v = u + at
where;
v is the final velocity of the car
v = 20 + (4 x 4)
v = 36 m/s
Therefore, the final velocity of the car is 36 m/s.
A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 137-kg laser sensor that measures the thickness of the ice (see the drawing). The helicopter and the sensor both move only in the horizontal direction and have a horizontal acceleration of magnitude 2.63 m/s2. Ignoring air resistance, find the tension in the cable towing the sensor. Incorrect: Your answer is incorrect.
Answer:
The value is [tex]T = 1702.91 \ N[/tex]
Explanation:
From the question we are told that
The mass of the laser sensor is [tex]m = 137 \ kg[/tex]
The horizontal acceleration of the helicopter and the sensor is [tex]a = 2.63 \ m/s^2[/tex]
Generally the net force on the cable is
[tex]F = T - W = ma[/tex]
Here W is the weight of the sensor which is evaluated as [tex]W = m * g = 137 * 9.8 = 1342.6 \ N[/tex]
So
[tex]T - 1342.6 = 137 * 2.63[/tex]
=> [tex]T = 360.31 + 1342.6[/tex]
=> [tex]T = 1702.91 \ N[/tex]
a golf ball has a mass 0.046 kkg rests on a tee it is struck by a golf club with an effectiv mass of 0.22 and speed of 44 assuming the collision is elastic, find the speed of the ball when it leaves the tee
Answer:
210 m/s
Explanation:
We will use this equation for an elastic collision:
m₁v₁ + m₂v₂ = m₁v₁ + m₂v₂ The left side of the equation is before the collision; the right side is after the collision.In this case, m₁ = mass of golf ball (0.046 kg) and m₂ = mass of the golf club (0.22 kg).
Left side of equation:v₁ is 0 m/s since the ball is at rest on the tee.
v₂ is 44 m/s, given in the problem.
Right side of equation:v₁ is what we are trying to find.
v₂ is 0 m/s since the ball will be at rest on the ground.
⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯Plug these values into the elastic collision equation:
(0.046 kg)(0 m/s) + (0.22 kg)(44 m/s) = (0.046 kg)(v₁) + (0.22 kg)(0 m/s)Simplify this equation.
(0.22 kg)(44 m/s) = (0.046 kg)(v₁)Get rid of the units.
(0.22)(44) = 0.046v₁Multiply the left side of the equation.
9.68 = 0.046v₁Divide both sides by 0.046.
210.434782609 = v₁ 210 m/s = v₁The speed of the ball when it leaves the tee is about 210 m/s.
What voltage is required to move 6A through 20?
Answer:
120V
Explanation:
Given parameters:
Current = 6A
Resistance = 20Ω
Unknown:
Voltage = ?
Solution:
According to ohms law;
V = IR
Where V is the voltage
I is the current
R is the resistance
Now, insert the parameters and solve;
V = 6 x 20 = 120V
1. The coin remains at rest in the figure shown. This is due to
(a) inertia of rest
(b) two forces act on the coin which balance each other
(c) no unbalanced force acts on it
(d) all of these
what is the correct answer?
Answer:
4
Explanation:
I added all of them and them minus the 5.
How does the appearance of each phase of the moon related to the
moon's position relative to Earth and the sun?
Answer:Moon phases are determined by the relative positions of the Moon, Earth, and Sun.
Explanation:
Instead, the Moon's phase depends only on its position relative to Earth and the Sun. The Moon doesn't make its own light, it just reflects the Sun's light as all the planets do.
What did James Hutson do
Answer:
Dr Hutson is the author of several books among them: John Adams and the Diplomacy of the American Revolution (1980); winner of the Gilbert Chinard Prize, 1981; To Make All Laws: The Congress of the United States, 1789-1989 (Washington and Boston, 1989-90; 4th edition, Washington, 1990); The Sister Republics
Answer:
Dr Hutson is the author of several books among them: John Adams and the Diplomacy of the American Revolution (1980); winner of the Gilbert Chinard Prize, 1981; To Make All Laws: The Congress of the United States, 1789-1989 (Washington and Boston, 1989-90; 4th edition, Washington, 1990); The Sister Republics: ... Explanation: HOPE I HELPED!!!!!
A bus travels east for 3 km, then north for 4 km. What is its final displacement?
5 km southeast
5 km northwest
5 km northeast
5 km southwest
What machine changes electrical energy into light and sound energy?
battery
o lightbulb
alarm dock
apple
Answer:
light bulb
Explanation:
All models have a limitations True or false
Answer:
The answer is True.
How does variation impact natural selection?
Please help me with this question please
what is the reason behind superposition?why waves behave this way?
Explanation:
Most waves appear complex because they result from two or more simple waves that combine as they come together at the same place at the same time—a phenomenon called superposition. Waves superimpose by adding their disturbances; each disturbance corresponds to a force, and all the forces add
introurself please
what is the correct answer?
Answer:
length=2
Explanation:
You simply find the zeros of the quartic polynomial
The factored form is (x+1)(x-5)(x-2)=0
The zeros become -1,5 and 2
Dimension 5 is already given and the question says length>width and 2>-1
Therefore length=2
A tank holding 70 liters of water is heated by a 18000W electric immersion heater. If the specific heat capacity of water is 4200 J/(kg .℃), Calculate the time to change the temperature from 20 Degree Celsius to 100 degree Celsius.
Answer:
1306.67 s
Explanation:
From the question given above, the following data were obtained:
Volume of water = 70 L
Power (W) = 18000 w
Specific heat capacity (C) = 4200 J/g℃
Initial temperature (T1) = 20 ℃
Final temperature (T2) = 100 ℃
Time (t) =?
Next, we shall determine the mass of the water. This can be obtained by converting 70 L to kg. This is illustrated below:
1 L = 1 kg
Therefore,
70 L = 70 Kg
Thus, the mass of the water is 70 kg.
Next, we shall determine the heat energy involved. This is can be obtained as follow:
Mass (M) of water = 70 Kg
Specific heat capacity (C) = 4200 J/g℃
Initial temperature (T1) = 20 ℃
Final temperature (T2) = 100 ℃
Heat Energy (Q) =?
Q = MC(T2 – T1)
Q = 70 × 4200 × (100 – 20)
Q = 294000 × 80
Q = 3520000 J
Thus, the heat energy involved is 3520000 J
Finally, we shall determine the time taken.
Power (W) = 18000 w
Heat Energy (Q) = 3520000 J
Time (t) =?
Power = energy / time
18000 = 3520000 / time
Cross multiply
18000 × time = 3520000
Divide both side by 18000
Time = 3520000 / 18000
Time = 1306.67 s
define vector quantity giving examples
Answer:
Quantity with direction and magnitude
Displacement
Explanation:
A stone is thrown vertically upwards with an initial velocity 20m/s. Find the maximum height it reaches and the time taken by it to reach the height.
(g= 10m/s)
who gives answer with explanation i will make him braillint
Answer:
The maximum height it reaches will be 20 m.
The time taken by it to reach the height will be: t = 2 seconds.
Explanation:
We know the equation of the motion under gravity
v² - u² = 2gs
u = initial velocity = 20 m/s
v = final velocity = 0 m/s
[tex]s\:=\:h_{max}[/tex]
so
[tex]v^{2} \:-\:u^{2} \:=\:2gs[/tex]
substituting u = 20 m/s, v = 0 m/s, g = -10 and [tex]s\:=\:h_{max}[/tex]
[tex]\left(0\right)^2-\:\left(20\right)^2=\:2\left(-10\right)\times h_{max}[/tex]
[tex]2\left(-10\right)\times h_{max}=-400[/tex]
[tex]\frac{2\left(-10\right)h_{max}}{-20}=\frac{-400}{-20}[/tex]
[tex]\:h_{max}=20[/tex] m
Therefore, the maximum height it reaches will be 20 m.
We know the equation
u = gt
substitute u = 20, g = 10
20 = 10 × t
t = 20/10
t = 2 seconds
Therefore, the time taken by it to reach the height will be: t = 2 seconds.
How much force would be needed to
push a 22 kg box across the floor with
an acceleration of 1.9 m/s^2? Assume
that there is a coefficient of friction of.
17 between the box and the floor.
Help me with this!!!!!!!it’s due in 10 minutes
There would be two forces acting on the box parallel to the floor, with a net force of
∑ F = p - f = m a
where p = magnitude of the push, f = mag. of friction, m = mass of the box, and a = acceleration. To find p, we first need f .
There are also only two forces acting on the box perpendicular to the floor, with net force
∑ F = n - w = 0
where n = mag. of normal force of the floor on the box and w = weight of the box. The net force is 0 because the box is only accelerating parallel to the floor.
w = m g, where g = 9.8 m/s² is the mag. of the acceleration due to gravity, so we can solve for n :
n = w = m g
n = (22 kg) (9.8 m/s²)
n = 215.6 N
The kinetic friction is proportional to the normal force by a factor of the given coefficient of friction, µ = 0.17, such that
f = µ n
f = 0.17 (215.6 N)
f = 36.652 N
Now solve for the required pushing force:
p - 36.652 N = (22 kg) (1.9 m/s²)
p ≈ 78 N
Answer:
0
Explanation:
Which of these waves has the greatest wavelength? Group of answer choices Wave shown with 2 wavelengths. Wave shown with 3 wavelengths. Wave shown with 1 wavelength stretch over a short distance. Wavelength shown with 1 wavelength stretched over a long distance.
Answer:
This question is incomplete
Explanation:
This question is incomplete because of the absence of the figure. However, wavelength can be described as the distance between two crests (identical points) of a wave (as illustrated in the picture attached). Thus, a wave with a large/great wavelength must have a long distance between the two crests and has nothing to do with the number of crests/wavelengths since distance between crests could also be small.
Hence, what appears to be the correct option is the last option (Wavelength shown with 1 wavelength stretched over a long distance).
Answer:
Its B.
Explanation:
Im took the exam.
WHICH ONE IS IT????
RINGS
POINT
GRAPH
READS
TALKS
Answer: c or b
Explanation:
Which statement best describes an electric current?
A Energy transfers inside of an electric device.
B Charged particles move
through a conductor.
C Type of conductor or insulator.
D The measurement of the electric potential energy in a circuit.
Answer:
its B
Explanation:
the movement of charged particles in a conductor
Charged particles move through a conductor best describes an Electric current.
What is Electric current?A stream of charged particles, such as electrons or ions, traveling through an electrical conductor or a vacuum is known as an electric current.
Charge carriers, which can be any of a number of particle kinds depending on the conductor, are the moving particles. Electrons flowing over a wire are frequently used as charge carriers in electric circuits.
They can be electrons or holes in semiconductors. Ions are the charge carriers in an electrolyte, whereas ions and electrons are the charge carriers in plasma, an ionized gas.
Therefore, Charged particles move through a conductor best describes an Electric current.
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Compare the rate of heat transfer by radiation for two objects, the first one has the temperature Ts1= 25 degree Celsius and the second is kept at temperature Ts2 = 40 degree Celsius. Suppose they are made of identical material (e1=e2) and have the same area participating in radiation (Ar1=Ar2). The Surrounding temperature Tr= 25 degree Celsius.
Answer:
The rate of heat transfer of the second object is greater than the first object.
Explanation:
[tex]\varepsilon[/tex] = Emissivity of the object
[tex]\sigma[/tex] = Stefan-Boltzmann constant = [tex]5.67\times 10^{-8}\ \text{W/m}^2/\text{K}^4[/tex]
[tex]T_1[/tex] = Temperature of surface 1 = [tex]25^{\circ}\text{C}+273.15=298.15\ \text{K}[/tex]
[tex]T_2[/tex] = Temperature of surface 2 = [tex]40^{\circ}\text{C}+273.15=313.15\ \text{K}[/tex]
[tex]T_0[/tex] = Surrounding temperature = [tex]25^{\circ}\text{C}+273.15=298.15\ \text{K}[/tex]
Rate of heat transfer is given by
[tex]P_1=\varepsilon \sigma (T_1^4-T_0^4)\\\Rightarrow P_1=\varepsilon \sigma A_1(298.15^4-298.15^4)\\\Rightarrow P_1=0\ \text{W}[/tex]
[tex]P_2=\varepsilon \sigma (T_2^4-T_0^4)\\\Rightarrow P_2=\varepsilon 5.67\times10^{-8} A_2(313.15^4-298.15^4)\\\Rightarrow P_2=\varepsilon A_297.2[/tex]
[tex]\varepsilon A_297.2>0[/tex]
So, [tex]P_2>P_1[/tex]
Hence, the rate of heat transfer of the second object is greater than the first object.
2km south is a measure of what
The answer Is kilometers
Explain how itis possible for electron-group geometry to difer trom molecular geometry. Use the Lewis dot diagram below to help in your explanation
Answer:
If lone pairs of electrons, electrons not bonded to other atoms, are located in the molecule, this will change the molecular geometry, not the electron geometry. If all the electron groups are bonded, with no lone pairs, then the electron geometry and molecular geometry are the same.
A Geosynchronous orbit is one where a satellite orbits the earth with the same period of motion as the earth on its own axis.
How far from the center of the earth is the satellite's orbit?
Answer:
22236 mi
Explanation:
A stone is thrown vertically upwards with an initial velocity 20m/s. Find the maximum height it reaches and the time taken by it to reach the height.
(g= 10m/s)
who gives answer with explanation i will make him braillint
Answer:
20metere
Y=VOYYT-1/2gt^2H=20m/s*2s-1/2*10m/s^2(2s)^H=40m-1/2*10 4s^240m-20H=20mifif it takes 1-minute for 45 c of charge to pass a point in an electric circuit what is the current through the circuit?
Answer:
45C in a minute is
45/60 C in a second
.75 C in a second is 3/4 of an ampere.
Explanation:
The current through a circuit when it takes one minute for 45C of charge to pass to a point in an electric circuit is 0.75 Ampere.
What is an electric circuit?
The electric circuit: a way for current to travel. A battery or generator is a device that provides energy to the charged particles that make up the current, a device that uses current, such as a lamp, an electric motor, or a computer, and the connecting wires or transmission lines to make up an electric circuit. Ohm's law and Kirchhoff's rules are two fundamental laws that quantitatively define how electric circuits function.
Given information,
The charge, q = 45 coulombs,
the time, t =1 minute
t = 60 sec
A minute at 45C is, In one second, 45/60 C,3/4 of an ampere is equal to 0.75 C per second.
Therefore, the current through a circuit when it takes one minute for 45C of charge to pass to a point in an electric circuit is 0.75 Ampere.
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