A baseball player leads off the game and hits a long home run. The ball leaves the bat at an angleof 30.0° from the horizontal with a velocity of 40.0 m/s. How far will it travel in the air?

Answer:

Fossil fuels are energy sources that come directly from nature. First, the sun's radiant energy is stored as chemical energy in plants by photosynthesis. When the plants die, they start decaying. After many years, the plants are turned into fossil fuels.

Explanation:

Fossil fuels rely on the Sun's energy because the energy in fossil fuels came from plants and algae as they performed photosynthesis, which requires sunlight.

When sunlight strikes a plant, some of the energy is trapped through photosynthesis and is stored in chemical bonds as the plant grows.

(u should paraphrase it)

Answer:

Q = 913.9 gpm

Explanation:

The Hazen Williams equation can be written as follows:

\(P = \frac{4.52\ Q^{1.85}}{C^{1.85}d^{4.87}}\)

where,

P = Friction Loss per foot of pipe = \(\frac{0.4}{1000\ ft}\) = 4 x 10⁻⁴

Q = Flow Rate in gallon/min (gpm) = ?

d = pipe diameter in inches = (400 mm)(0.0393701 in/1 mm) = 15.75 in

C = roughness coefficient = 100

Therefore,

\(4\ x \ 10^{-4} = \frac{4.52\ Q^{1.85}}{(100)^{1.85}(15.75)^{4.87}}\\\\Q^{1.85} = \frac{4\ x \ 10^{-4}}{1.33\ x\ 10^{-9}} \\\\Q = (300384.75)^\frac{1}{1.85}\)

Q = 913.9 gpm

This question deals with projectile motion, which is a motion on both the x-axis and y-axis, simultaneously. The total time of flight of the projectile trajectory is given, while the time to reach the highest point of the projectile is required to be found.

The projectile will reach the highest point in "3 seconds".

The total time of flight of a projectile is the time during which the projectile remains in the air. For a projectile motion that ends up on the same horizontal level, from where it started, the time to reach the highest point, is equal to half of the total time of flight.

In other words, the projectile motion takes the same time, to go from the starting level to the highest point (i.e upward motion), as the time taken to reach the starting level from the highest point (i.e downward motion).

\(t = \frac{1}{2}T\)

where,

t = time to reach the highest point = ?

T = total time of flight = 6 seconds

Therefore,

\(t - \frac{1}{2}(6\ seconds)\)

t = 3 seconds

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Answer:

Explanation:

To find the resultant of two velocity vectors, we can use vector addition. Given two velocity vectors v1 and v2, their resultant vector vR can be found by adding the two vectors:

vR = v1 + v2

The angle that the resultant moves with the first vector can be found using trigonometry. If we let theta be the angle between v1 and vR, then we can use the following formula:

tan(theta) = (vR_y / vR_x)

where vR_x is the x-component of the resultant vector and vR_y is the y-component of the resultant vector.

Alternatively, we can use the dot product to find the angle between the two vectors. The dot product of two vectors is defined as:

v1 . v2 = |v1| |v2| cos(theta)

where |v1| and |v2| are the magnitudes of the vectors and theta is the angle between them. Solving for theta, we get:

theta = acos((v1 . v2) / (|v1| |v2|))

where acos is the inverse cosine function.

To summarize:

Find the resultant vector vR by adding the two velocity vectors v1 and v2: vR = v1 + v2

Find the angle theta between v1 and vR using either the tangent formula or the dot product formula:

a. tan(theta) = (vR_y / vR_x)

b. theta = acos((v1 . v2) / (|v1| |v2|))

Answer:

0.06

Explanation:

Working on the problem at hand i calculated and got my answer to around simplified at 0.06

The child's speed at the lowest point is 5.42 m/s.

At the highest point of the swing, the child is momentarily at rest and has only potential energy. At the lowest point, the child has only kinetic energy.

Using the conservation of mechanical energy, we can write:

Potential energy at highest point = Kinetic energy at lowest point

mgh = (1/2)mv²

where m is the mass of the child, g is the acceleration due to gravity, h is the height of the swing at the highest point, and v is the speed of the child at the lowest point.

First, we need to find the height of the swing at the highest point. Since the swing is supported by two chains, the height of the swing at the highest point is half the length of the chains:

h = (1/2)3.00 m = 1.50 m

Next, we can solve for the child's speed at the lowest point:

mgh = (1/2)mv²

40.0 kg * 9.81 m/s² * 1.50 m = (1/2) * 40.0 kg * v²

588 J = 20.0 kg * v²

v² = 29.4 m²/s²

v = 5.42 m/s

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Answer:

I believe B. The picture is not completely clear

Explanation:

The energy input at aphelion (farthest from the sun) is 92% of the intensity at perihelion (closest to the sun) because of the inverse-square law, which states that the intensity of radiation decreases with the square of the distance from the source.

However, the difference in energy input does not solely explain the difference in surface temperature from winter to summer.

Other factors, such as the Earth's axial tilt, atmospheric composition, and cloud cover also play a role in determining the surface temperature.

Evidence from climate models and observations indicate that changes in these factors, especially changes in the number of greenhouse gases in the atmosphere, can have a significant impact on global temperature patterns.

In conclusion, while the inverse-square law affects the intensity of solar radiation, it is not the sole factor in determining surface temperature, and the role of other factors must be considered to fully understand seasonal and climatic variations.

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1/(1/2+1/5) = 10/7 hours

Answer:

It shapes into the form of the container because water is a liquid.

Explanation:

The force is directly proportional to the acceleration hence, at twice the amount of force will be required.

The Newton's second law of motion states that the rate of change of momentum is directly proportional to the impressed force. From this law we obtain that F = ma

Since the force is directly proportional to the acceleration, at constant mass, twice the amount of force will be required.

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The time t2 when the motorcycle passes the car is approximately 6.41s.

To find the time t2 when the motorcycle passes the car, we can use the equation of motion with constant acceleration:

x = x0 + v0t + 0.5at^2

where x is the displacement, x0 is the initial position (52 m behind the car), v0 is the initial velocity (22 m/s), a is the acceleration (5 m/s^2), and t is the time.

At t2, the motorcycle will have covered the same distance as the car, so x = 0.

Substituting the known values and solving for t, we get:

0 = 52 + 22t + 0.5 * 5t^2

0.5t^2 + 22t + 52 = 0

Using the quadratic formula, the time t2 when the motorcycle passes the car is approximately 6.41 s.

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Explanation:

The distance between the school and house of Neil is 1 km

He travels 0.5 km east before he realizes he forgot his backpack and then walks back home to get it. After picking up his bag he then heads back to school.

The distance covered by an object is equal to the total path covered. The distance of Neil is 1 km.

Displacement is the shortest path covered.

Displacement = 0 + 0.5 +0 +0.5 = 1 km

Hence, his distance and displacement is 1 km.

(a) When the particle is stationary, it will only experience a force due to the electric field. The force is given by:

F = qE

where q is the particle's charge as well as E is the electric field.

Substituting the given values, we have:

F = (4.9 × 10⁻⁶ C)(242 N/C) = 1.19 × 10⁻³N

The net force is directed in the +x direction.

Magnetic force is the force that arises between two magnetic objects or between a magnetic object and a moving charged particle. It is one of the four fundamental forces of nature, the others being the strong nuclear force, the weak nuclear force, and gravity.

The magnetic force is caused by the interaction between magnetic fields. When two magnetic objects are brought near each other, their magnetic fields interact and exert a force on each other.

(b) When the particle is moving along the +x axis at a speed of 345 m/s, it will experience both electric and magnetic forces. The electric force will be the same as in part (a). The Lorentz force equation may be utilized to calculate magnetic force:

F = q(v x B)

where v is the particle's velocity and B is the magnetic field.

Substituting the given values, we have:

F = (4.9 × 10⁻⁶ C)(345 m/s)(1.9 T) = 3.28 × 10⁻³ N

The right-hand rule can be used to determine the direction of the magnetic force.  If you point your thumb in the direction of the velocity vector (+x axis) and your fingers in the direction of the magnetic field vector (+x and +y axes), your palm will face in the direction of the magnetic force vector, which is in the +z direction.

Therefore, the net force on the particle is given by the vector sum of the electric and magnetic forces:

Fnet = (1.19 × 10⁻³ N) + (3.28 × 10⁻³ N) = 4.47 × 10⁻³ N

The net force is directed in the +z direction.

(c) When the particle is moving along the +z axis at a speed of 345 m/s, it will only experience a magnetic force. The magnetic force can be calculated using the same equation as in part (b):

F = q(v x B)

where v is the particle's velocity and B is the magnetic field.

Substituting the given values, we have:

F = (4.9 × 10⁻⁶ C)(345 m/s)(1.9 T) = 3.28 × 10⁻³ N

The right-hand rule can be used to determine the direction of the magnetic force.  If you point your thumb in the direction of the velocity vector (+z axis) and your fingers in the direction of the magnetic field vector (+x and +y axes), your palm will face in the direction of the magnetic force vector, which is in the -y direction.

Therefore, the net force on the particle is given by the magnetic force:

Fnet = 3.28 × 10⁻³ N

The net force is directed in the +y direction.

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Answer:

0.24 km

Explanation:

Total time taken = 25 + 10 + 15 = 50 mins

Total distance covered  = 1.0 km( initial distance ) + 0.76 km( final distance ) = 1.76 km

therefore the displacement of the individual = 1 - 0.76  = 0.24 km

displacement is the difference between final distance and initial distance covered by an individual and it is a vector quantity

Answer:

Aluminium is lightweight

Iron is magnetic

and one is not magnetic

Answer:

Explanation:

The constant acceleration of any object, neglecting air resistance and friction, is always -9.8. Proof:

\(s(t)=-4.9t^2+13\) which is the position of this feather before it is dropped. The first derivative of position is velocity, so the velocity function for the feather is:

\(v(t)=-9.8t\). We could find the velocity that the feather is experiencing at 3 seconds, but that is not what we are being asked. What we are being asked is the acceleration of the feather at 3 seconds. So we find the acceleration function of the feather:

a(t) = -9.8

It turns out that the time doesn't matter to acceleration due to gravity because feathers and elephants all fall under the same pull.

The passenger is moving at a speed of 5.13 m/s relative to the water, with a direction of 38.1° north of east.

A quantity or phenomena with independent attributes for size and direction is called a vector. Another meaning of the term is the mathematical or geometrical representation of a quantity. Vectors can be found in nature as force, momentum, electromagnetic fields, weight, and velocity.

Let's think of the boat's velocity in relation to the water as vector B and the passenger's velocity in relation to the boat as vector P.

B = (3.97 m/s) cos(50°) i + (3.97 m/s) sin(50°) j

= 2.55 i + 3.07 j

P = (1.46 m/s) i

= 1.46 i

Adding these vectors, we get:

B + P = 2.55 i + 3.07 j + 1.46 i

= 4.01 i + 3.07 j

The magnitude of the velocity of the passenger relative to the water is the length of this vector:

|B + P| = sqrt[(4.01 m/s)^2 + (3.07 m/s)^2] = 5.13 m/s

The direction of the velocity of the passenger relative to the water is the angle this vector makes with the positive x-axis, measured counterclockwise from due east.

θ = tan^(-1)(3.07/4.01) = 38.1°

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The potential and kinetic energy of the system at the following time instances is zero and maximum.

From the given,

The displacement of the system is, x = A cos(3πt/T)

1) At t =0, the displacement of the system is given by, x = cos(3π×0/T)= cos(0) = 1. The displacement is maximum at t=0. Hence, the potential energy is maximum and kinetic energy is zero.

2) At t=T, the displacement, x = cos(3πT/T)= cos(3π) = -1. The displacement is minimum and hence, the potential energy is minimum and kinetic energy is maximum.

3) At t = T/6, the displacement x = cos(3πT/6T)=cos(π/2)=0, the displacement is zero, and hence, both the potential and kinetic energy is zero.

4) At t=T/3, the displacement, x= cos(3πt/T)=cos(3πT/3)= -1. The displacement is minimum and hence, the potential energy is minimum and kinetic energy is maximum.

5) At t=T/2, the displacemetn x = cos(3πt/T) = cos(3πT/2T) = cos (3π/2)=0. Hence, both the potential and kinetic energy is zero.

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Answer: the force will increase 16 times

Explanation:

as the equation of the force is written, it's denominator is the distance squared

\(f = G\frac{m_{1}.{m_{2}}}{r^{2} }\)

so the distance is reduced by a factor of 4 ,the equation becomes\(f = G\frac{m_{1}.{m_{2}} }{{[r/4]}^{2} }\)

now as the distance r is divided by 4 the complete equation is multiplied by 16.

Answer:

i think the 2nd one

the first=0 b/c it's initial velocity and final ones are equal the third one is constant

This statement is True, electrical power is the rate at which electrical energy is stored. the rate at which electrical energy is being wasted. the rate at which electrical energy is used. the rate at which electrical energy is transferred.

Electrical energy is a type of energy that is produced by the movement of charged particles, such as electrons, in a conductor. It is a form of energy that can be converted into other forms of energy, such as heat, light, and motion, by the use of electrical devices.

Electrical energy is a crucial source of energy for modern societies, and it is used to power homes, businesses, and industries. It is generated from a variety of sources, including fossil fuels, nuclear energy, hydro power, wind power, and solar energy.

Electrical energy can be stored in batteries or in other forms of energy storage systems. It can also be transmitted over long distances through power lines and transformers, making it a highly efficient and convenient source of energy.

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Answer:

49 Ns

Explanation:

Given data

Force= 14N

time = 3.5seconds

Applying the expression for impulse

P= Ft

substitute

P=14*3.5

P=49 Ns

Hence the impulse is 49 Ns

The horizontal velocity of the projectile as it leaves the launcher is 35 m/s.

The time of motion of the projectile is calculated by applying the following kinematic equation as shown below.

h = vt + ¹/₂gt²

where;

h = 0 + ¹/₂gt²

h = ¹/₂gt²

t = √(2h/g)

t = √(2 x 0.4 / 9.8)

t = 0.286 s

The horizontal velocity of the projectile as it leaves the launcher is calculated as follows;

v = x/t

where;

v = 10 m / 0.286 s

v = 35 m/s

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The pattern of lines of force around two positive charges separated from each other demonstrates the repulsive nature of like charges and the direction and strength of the electric field between them.

When two positive charges are separated from each other, the lines of force (also known as electric field lines) originate from one positive charge and terminate on the other positive charge. The lines of force follow a pattern that reflects the repulsion between the positive charges.

Here's a verbal description of the pattern:

From each positive charge, the lines of force radiate outward in all directions.

The lines of force are evenly spaced and radially symmetric around each charge, indicating that the electric field strength is the same at all points along a given line.

As the lines of force move away from each charge, they curve away from each other, reflecting the repulsion between the positive charges.

The density of lines of force is higher near the charges and decreases as they move further apart.

The lines of force never cross each other, maintaining their continuous and unbroken nature.

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