The baseball hits the ground approximately 75.8 meters from the base of the cliff. This is calculated using physics principles of gravity and projectile motion, considering the height of the cliff, acceleration due to gravity, and the horizontal velocity of the baseball.
Explanation:This question involves what is called projectile motion, which is a topic in physics. To find the horizontal distance from the base of the cliff where the ball hits the ground, we need to know the time it takes for the ball to fall. Incidentally, the horizontal velocity doesn't affect this; it will take the same amount of time to hit the ground whether it's thrown horizontally or simply dropped.
We know the acceleration due to gravity is 9.8 m/s². The time it takes for the ball to hit the ground can be calculated using the formula: t = √(2h/g), where h is the height and g is the acceleration due to gravity. Substituting 45m for h and 9.8m/s² for g gives: t = √(2*45/9.8) which equals about 3.03 seconds.
In this time, the ball will move horizontally at 25 m/s for 3.03 seconds, a total of about 75.8 meters. So, the ball hits the ground approximately 75.8 meters from the base of the cliff. This is assuming negligible air resistance.
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When a substance undergoes a phase change it still has a definite....
two campers pull a canoe. If the force of friction acting on the canoe is 84 N, then how much work does the two campers need to do to keep the canoe in the middle of the river for a displacement of 50 m?
The work done by the two campers against frictional force is 4200 Joule.
What is force?The definition of force in physics is: the push or pull on a mass-containing item changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
Frictional force acting on the he canoe: F = 84 N.
Displacement of the canoe: d = 50 m.
Hence, work done by the two campers against frictional force = force × displacement
= 84 N × 50 m
= 4200 Joule.
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how many moles are in 95 g of Na?
Which law describes the magnetic field in a nonlinear wire?
Answer:
Lenz's law
Explanation:
Lenz's Law states that the induced tensions will be such that they oppose the variation of the magnetic flux that produced them; However, this law is a consequence of the principle of conservation of energy.
Lenz's Law: "The sense of the currents or induced electromotive force is such that it always opposes the cause that produces it, that is, the variation of the flow."
Thanks to the already named Lenz Law, the Faraday Law was completed, so it is common to also call it the Faraday-Lenz Law to honor its efforts in the problem, Russian physicists always use the name "Faraday-Lenz Law ".
When a 58g tennis ball is served, it accelerates from rest to a constant speed of 36 m/s. The impact with the racket gives the ball a constant acceleration over a distance of 35 cm. What is the magnitude of the net force acting on the ball?
Final answer:
The net force exerted on a tennis ball being served, which accelerates from rest to 36 m/s over a distance of 35 cm, is approximately 107.05 N.
Explanation:
To determine the magnitude of the net force acting on a tennis ball being served, we first need to calculate the acceleration of the ball. With an initial speed (vi) of 0 m/s, a final speed (vf) of 36 m/s, and a distance (d) of 0.35 m over which the acceleration occurs, we can use the kinematic equation vf^2 = vi^2 + 2ad to solve for acceleration (a).
vf^2 = 2ad → a = vf^2 / (2d) → a = (36 m/s)^2 / (2*0.35 m) → a ≈ 1845.71 m/s2.
Using this acceleration and the mass of the ball (m), we can then apply Newton's second law, Fnet = ma, to find the net force. The mass of the tennis ball is 0.058 kg (58 g). Thus, Fnet = ma = 0.058 kg * 1845.71 m/s2 → Fnet ≈ 107.05 N.
So, the net force exerted by the racket on the tennis ball is approximately 107.05 N.
Which electrical protective device is designed to detect a difference in current between circuit wires and interrupt the circuit and stop the flow of electricity?
a. attach ungrounded, two-prong adapter plugs to three-prong cords and tools
b.do not operate electrical equipment when working in wet conditions
c. hold fingers on the switch while carrying a plugged-in tool
d. use gfci only when using double insulated power tools
What force is needed to give a 4.5 kg bowling ball an acceleration of 9 m/s^2?
Two basketball players are essentially equal in all respects. (They are the same height, they jump with the same initial velocity, etc.) In particular, by jumping they can raise their centers of mass the same vertical distance, (called H their "vertical leap"). The first player, Arabella, wishes to shoot over the second player, Boris, and for this she needs to be as high above Boris as possible. Arabella jumps at time , and Boris jumps later, at time (his reaction time). Assume that Arabella has not yet reached her maximum height when Boris jumps.
1)Find the vertical displacement , D(t) = H(a)(t) - H(b)(t) as a function of time for the interval 0 < t < t(r) , where H(a)(t) is the height of the raised hands of Arabella, while H(b)(t) is the height of the raised hands of Boris.
Express the vertical displacement in terms of H, g , and t.
The vertical displacement D(t) between two jumping basketball players can be found using the kinematic equation for vertical motion. By accounting for the later jump time of the second player, we can subtract their height functions to find the displacement as a function of time in terms of initial height H, gravitational acceleration g, and time t.
Explanation:The student's question involves calculating the vertical displacement of two basketball players, Arabella and Boris, during their jumps, with Arabella starting her jump before Boris. To find the vertical displacement D(t) as a function of time, we need to consider the kinematic equation for vertical motion H(t) = V0t - (1/2)gt2, where V0 is the initial vertical velocity, g is the acceleration due to gravity (9.8 m/s2), and t is the time.
Assuming both players have the same V0 and are affected by the same g, the displacement of each player at any time t is given by:
For Arabella: H(a)(t) = V0t - (1/2)gt2For Boris: H(b)(t) = V0(t - tr) - (1/2)g(t - tr)2Given that Boris starts jumping at time tr later than Arabella, his height function H(b) has t - tr. The vertical displacement D(t) between Arabella and Boris from 0 < t < tr can be found by subtracting the height of Boris from the height of Arabella:
D(t) = H(a)(t) - H(b)(t)
Substituting in the expressions for H(a)(t) and H(b)(t) gives us the final expression for D(t) in terms of the known quantities H, g, and t.
The purpose of your physics lab is to determine the specific heat of a small metal cylinder. You and your group will use calorimetry, along with a ___________ probe and the law of heat exchange, to calculate specific heat of the metal.
Answer:
temperature probe
Explanation:
According to the big bang theory, the universe was once a very and hostile place.
a.cold
b.restless
c.hot
best for growing most plants, which soil has good drainage and sufficient moisture?
Answer:
Sandy Loam soil
Explanation:
The ideal properties of a soil for growing plants is to have a reasonable drainage, good amount of aeration, pH value of the soil that allows the availability of all the elements such as potassium, iron, calcium, magnesium, nitrogen etc for growth. Loam soil has the features mentioned above and hence it makes a good choice.
As the wave interacts with a wall, which kind of wave interaction is shown?
absorption
diffraction
refraction
reflection
The kind of wave interaction shown here is reflection.
What is meant by reflection ?
Reflection is the defined as the phenomenon by which a wave bounces back when it his on a medium or a plane.
Here,
The wave is shown as incident on the wall after that it is bounced back from the surface of the wall. Since, the wave is bounced back from the surface, we can say the wave interaction happened here is reflection. The surface of the wall here acts as the reflecting surface.
The wave that incident on the surface of the wall is called the incident wave. The wave that bounced back from the surface is called reflected wave.
If we draw a perpendicular line on the reflecting surface, it can be called the normal.
According to law of reflection, the incident wave, the reflected wave and the normal, all of them lies in the same plane. Here we can see that all of them are on the same plane. So, the law of reflection is valid in this situation.
Also, here only the direction of the wave is changed, which is the property of reflection.
Hence,
The kind of wave interaction shown here is reflection.
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The mole fraction of oxygen in dry air near sea level is 0.20948. The concentration of
oxygen is __________ molecules per liter, assuming an atmospheric pressure of 739 torr and
a temperature of 29.5°C
A) 6.23
B) 0.00819
C) 4.93 × 1021
D) 3.75 × 1024
E) 5.07 × 1022
Final answer:
To calculate the concentration of oxygen in molecules per liter, we use the ideal gas law equation and substitute the given values to find the number of moles of oxygen. The concentration of oxygen is approximately 29.5 molecules per liter.
Explanation:
To calculate the concentration of oxygen in molecules per liter, we need to use the ideal gas law equation: PV = nRT. Rearranging the equation, we have n = PV/RT, where n is the number of moles of oxygen in the given volume, P is the pressure, V is the volume, R is the ideal gas constant, and T is the temperature.
Given the pressure of 739 torr, volume of 1 liter, and temperature of 29.5°C (which needs to be converted to Kelvin), we can substitute these values into the equation. The ideal gas constant R is 0.0821 L*atm/(mol*K).
Therefore, the concentration of oxygen in molecules per liter is:
n = (739 torr * 1 L) / (0.0821 L*atm/(mol*K) * (29.5+273) K)
n = 29.5
So the concentration of oxygen is approximately 29.5 molecules per liter.
A main sequence star cools and expands. It must be entering which stage?
A. white dwarf
B. black dwarf
C. red giant
D. neutron star ...?
When motion IS changing directions, acceleration is the rate at which ________changes, but when motion is NOT changing direction, acceleration may be expressed as the rate at which ________ changes.
A. speed, time
B. velocity, speed
C. elapsed time, average speed
...?
Acceleration is the rate at which velocity changes when direction is involved, and the rate at which speed changes when there is no directional change.
When motion is changing directions, acceleration is the rate at which velocity changes, but when motion is not changing direction, acceleration may be expressed as the rate at which speed changes.
Acceleration is defined as the time rate of change of velocity, which includes both the magnitude and direction of the velocity vector. Therefore, when an object changes its direction, even if maintaining a constant speed, it is still undergoing acceleration because its velocity vector is changing. However, when the direction is constant and only the speed changes, acceleration refers to the rate of this change in speed.
Concave lens cause rays to _____.
A. come together
B. reflect
C. spread apart
Temperature measures:
a. the kinetic energy of the random motion of molecules in an object.
b. the kinetic energy of the average motion of molecules in an object.
c. the potential energy of an object.
d. the motion of an object.
Temperature measures the average kinetic energy of the motion of molecules within an object. This means the faster the average molecular motion, the higher the temperature.
Explanation:The temperature of an object primarily measures
b. the kinetic energy of the average motion
of molecules in an object. The
kinetic energy
is the energy of motion. Every molecule in an object is in motion and hence possesses some kinetic energy. This motion could be translational (moving from one place to another), vibrational (moving back and forth), or rotational (spinning). The more kinetic energy they have, the faster they are moving, and the higher the temperature of the object. It's important to note that we are talking about the
average
kinetic energy per molecule, and not the total kinetic energy of all the molecules, as different molecules might be moving at different speeds.
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Which of the following conversion factors would you use to change 18 kilometers to meters?
A.) 1,000 m/1 km
B.) 1 km/1,000 m
C.) 100 m/1 km
D.) 1 km/100 m
Answer:
The answer is A) 1,000 meters = 1 Kilometer.
Explanation:
To convert 18 Kilometers into meters, one would have to multiply the figure given in Kilometer by 1000.
Therefore we have 18 x 1000
= 18,000.
So 18 Kilometers is also 18,000 meters when converted.
Cheers!
Which process forms rivers and valleys?
A. Oceanic-oceanic convergence
B. Exposed batholiths
C. Folding, uplift, and erosion
D. Volcanoes
What is transferred by electromagnetic waves?
A force that holds atoms together is a chemical .
A force that holds atoms together is a chemical "bond".
Chemical bonds hold atoms together and make brief associations that are fundamental to life. Sorts of chemical bonds including covalent, ionic, and hydrogen bonds and London dispersion forces.
The chemical bond can be thought of as a power that holds the particles of different components together in such compounds. It opens up the likelihood of a huge number of mixes of the components, and the formation of a large number of new compounds.
Answer:
Therefore, A force that holds atoms together is a chemical bond.
Explanation:
Chemical bond : A chemical bond is a lasting attraction between atoms, ions or molecules that enables the formation of chemical compounds.
Everything in the world around us is made up of atoms, which are tiny pieces of matter. Different atoms stick together to form all kinds of things in the world. A chemical bond is formed when two or more atoms are attracted to each other and form a chemical compound.
Types of chemical bonds including:
Ionic Bonds
Covalent Bonds
Which of the following statements is true about the nature of light?
A. Light behaves entirely as a particle
B. Light has properties of both particles and waves
C. Light behaves entirely as a wave
D. Light travels as a wave but does not carry energy ...?
Answer: The correct answer is "Light has properties of both particles and waves".
Explanation:
Light shows dual nature. It behaves as particle as well as waves.
Photoelectric effect is the phenomenon in which there is an emission of the electrons when the light of the particular frequency is incident on the surface of the metal.
The particle nature of the light is shown by photoelectric effect.
Reflection: Reflection is the phenomenon in which the light wave gets reflected from the surface without getting transmitted. It bounces back from the surface.
The wave nature of the light is shown by reflection.
Therefore, the correct option is (B).
What might you have if you dont feel well?
If Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s what is its radius?
69,912 km !!!!!!!!!!!!!!!!!!!!!
If a resistor of R ohms is connected across a battery of E colts with internal resistance r ohms, then the power (in watts) in the external resistor is \[P = \frac{E^2R}{(R+r)^2}\]
If E and r are fixed but R varies, what is the maximum value of the power?
The maximum power in the external resistor R, when connected to a battery of E volts and internal resistance r, occurs when R equals r. This is a principle of electrical power in physics.
Explanation:This is a physics question involving a fundamental concept in electrical power and Ohm's Law. The given formula P = E^2R/(R+r)^2 is the power delivered to an external resistor R when it is connected to a battery with electromotive force (E) and internal resistance (r).
To find the maximum power in the external resistor R, we would differentiate the formula with respect to R and equal it to zero (since the maximum or minimum of a function translates to a derivative of zero). By doing this, R would be equal to r.
Therefore, the maximum power is distributed to the external resistor when the value of the resistor (R) equals the internal resistance (r).
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The universe is mostly made up of what?
a. interstellar matter
b. particles of dust and gas
c. stars
d. empty space
An ionic bond forms between sodium and chlorine when the sodium atoms______ elections
Donate
An ionic bond forms between sodium and chlorine when the sodium atoms donate elections
Explanation;Ionic bond is a type of bonds that results from transfers of electrons from one atom to another. This types of bond is formed between metals and non metals.Metals lose electrons to form cations (positively charged ion) and non metals gain electrons forming anions, negatively charged ion. In this case, sodium donates and electron to chlorine atom, thus they both achieve a stable electronic configuration forming ions.. How much work in joules is done by a person who uses a force of 25 N to move a desk 3.0 m?
The work done by a person using a force of 25 N to move a desk 3.0 m is 75 Joules, calculated by multiplying the force and the distance.
Explanation:The concept in question is related to work and energy, under Physics. The work done by a force is defined as the product of the force and the distance over which the force acts, given by the formula: Work = Force x Distance. This implies that the work done is equal to the value of the force (in newtons) multiplied by the distance (in meters) over which the force is applied. In this case, a force of 25 N is acting to move a desk over a distance of 3 m. The work done can be calculated by multiplying the force and the distance: 25 N x 3 m = 75 J (Joules).
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If a person weighs 500 N on Earth, what would she weigh on Jupiter, where the acceleration due to gravity is 26 m/s2?
Show all work leading to your answer.
The person's weigh on Jupiter is 1326.52 N.
What is weight?Weight is a measurement of how much gravity is pulling on a body.
Weight is calculated using the formula: w = mg.
Given that weight is a force, its SI unit is also a force; hence, the SI unit of weight is the Newton (N). By examining the weight expression, we can see that it is dependent on mass and the acceleration caused by gravity.
Given that: a person weighs 500 N on Earth.
the acceleration due to gravity on Jupiter is 26 m/s^2.
Acceleration due to gravity on Earth is 9.8 m/s^2.
Hence, mass of the person
= Weight on Earth/acceleration due to gravity on Earth
=500 N/9.8 m/s^2.
= 51.02 kg.
Her weigh on Jupiter is
= mass of the person × acceleration due to gravity on Jupiter
= 51.02 kg × 26 m/s^2
= 1326.52 N.
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Gravitational force between two objects depends on
Answer:
SIZE AND DISTANCE BETWEEN THEM