By breaking the problem into vertical and horizontal components, we determined the time the ball was in the air and used it to calculate the horizontal velocity. The ball was rolling off the desk at approximately 0.66 m/s. This involves understanding projectile motion in physics.
To determine how fast the baseball was rolling off the desk, we need to use principles of projectile motion. We can break the motion into horizontal (x-direction) and vertical (y-direction) components.
Vertical (y-direction) Analysis:
Initial vertical velocity (u_y) is 0 m/s because the ball is rolling horizontally off the desk.Height of the desk (h) = 0.70 m.Acceleration due to gravity (g) = 9.8 m/s².We can use the kinematic equation: h = (1/2) * g * t² to find the time (t) it takes for the ball to hit the ground.Solving for t: 0.70 = 0.5 * 9.8 * t² → t² = (0.70 * 2) / 9.8 → t² ≈ 0.143 → t ≈ 0.38 s.Horizontal (x-direction) Analysis:
The horizontal distance (d) the ball travels is 0.25 m.The time in the air is the same as calculated in the vertical direction, t ≈ 0.38 s.The horizontal velocity (v_x) can be found using the equation: d = v_x * t.Solving for v_x: 0.25 = v_x * 0.38 → v_x ≈ 0.25 / 0.38 → v_x ≈ 0.66 m/s.Therefore, the ball was rolling off the desk at approximately 0.66 m/s.
When a candle burns, which forms of energy does the chemical energy in the candle change to?
In a series circuit, when you add more resistance, what will happen to the amount of current?
It actually decreases because I just took a lesson review questions and first I put Increase but it said that was wrong and then I put decrease and it said that was the right answer so it decreases
Most engines will contain how many cylinders in order to maintain a proper balance of weight and forces? A. An even number B. Always six C. An odd number D. Always four
Answer:
Cylinder is the most important working part of the engine it is arranged adjacently in the engine.
So, we need to tell how many cylinders are there in order to maintain a proper balance.
So, Some engines have 6 some have 4 cylinders.
So., always 6 and always 4 that is option B and D are discarded.
Therefore, The option A is correct that is an even number.
An astronomer sees two stars in the sky. Both stars are equally far from Earth, but the first star is brighter than the second star. Which of the following is a valid conclusion about the first star?
It is larger than the second star.
It is smaller than the second star.
It is older than the second star.
It is younger than the second star.
Answer:
It is larger than the second star.
It is younger than the second star.
Explanation:
The star's actual brightness depends on two factors: size and surface temperature. If we take two stars of the same size, hotter star would look brighter. If we take two stars with the same surface temperature, bigger star would like brighter.
In the given scenario, two options can be correct. The first star might be larger than the second one or it can be younger as younger stars are hotter.
The race officials want to set up portable bleachers near the finish line. Each set of bleachers is 4.50 meters long and 2.85 meters wide. How many square meters of open ground space do they need for each set?
The amount of open ground space needed for each set of bleachers is 12.825 square meters.
To calculate the area required for the portable bleachers, which are 4.50 meters in length and 2.85 meters in width, we multiply the length by the width. Thus, the area (A) is given by the formula A = length imes width. By substituting the given dimensions, A = 4.50 m imes 2.85 m = 12.825 m2. This calculation provides the total ground space necessary for setting up a single set of bleachers, assuming that no additional space is required for clearances or walkways between the bleachers.
The prefix kilo- means
Why does all light have a wavelength between about 400 and 700 nm?
A swimmer heading directly across a river 200 m wide reaches the opposite bank in 6 min 40 s. she is swept downstream 480 m. how fast can she swim in still water?a swimmer heading directly across a river 200 m wide reaches the opposite bank in 6 min 40 s. she is swept downstream 480 m. how fast can she swim in still water?
Final answer:
The swimmer's speed in still water is determined by dividing the river width (200 m) by the total swimming time (400 s), which gives a speed of 0.5 m/s.
Explanation:
The question involves calculating the speed at which a swimmer can swim in still water. The swimmer crosses a 200 m wide river and is swept downstream 480 m, reaching the opposite bank in 6 minutes and 40 seconds. To determine the speed in still water, we'll need to consider two components of the swimmer's velocity: one perpendicular to the river's flow (the swimmer's own speed in still water) and one parallel to the flow (the river's current).
Let v be the speed of the swimmer in still water (m/s) and u be the speed of the river current (m/s). The swimmer's downstream displacement due to the current is 480 m, which is equivalent to u × t, where t is the total swimming time. The total time taken is 400 seconds (6 min 40 s).
The perpendicular component of the swimmer's motion relative to the river banks is 200 m, which should be equal to v × t. From this, we can solve for v by dividing the river width by the total swimming time:
v = 200 m / 400 s = 0.5 m/s
Thus, the swimmer's speed in still water is 0.5 m/s.
By how many degrees fahrenheit can the temperature of one metric ton of water be raised with the addition of 110 thousand btus of heat?
Final answer:
The amount by which the temperature can be raised is calculated by using the specific heat capacity of water and converting BTUs to joules to find the temperature change in Celsius, which is then converted to Fahrenheit.
Explanation:
To determine by how many degrees Fahrenheit one metric ton of water can be raised with the addition of 110 thousand BTUs of heat, we need to use the specific heat capacity of water and convert the energy from BTUs to a compatible unit.
The specific heat capacity of water is 4.184 joules per gram per degree Celsius (J/g°C). Moreover, the conversion from BTUs to joules is necessary for the calculations. Since 1 BTU corresponds to approximately 1055.06 joules, 110,000 BTUs is equivalent to 110,000 × 1055.06 joules.
A metric ton of water is equal to 1,000,000 grams. Assuming the specific heat capacity of water is 4.184 J/g°C, we can set up an equation to find the temperature change in Celsius, which can then be converted to Fahrenheit.
The heat energy equation is heat energy (Q) = mass (m) × specific heat capacity (c) × temperature change (ΔT).
Q = m × c × ΔT
Substituting our values, we have:
110,000 BTUs × 1055.06 J/BTU = 1,000,000 g × 4.184 J/g°C × ΔT
This gives us the temperature change in Celsius, which can then be multiplied by 1.8 to convert to Fahrenheit.
if grapefruit juice has a ph of 3.0 and egg white have a ph of 8.0, which contains more h+ ions ? how many more ?
Answer:
concentration of H+ ions is more in pH 3.0
Explanation:
As we know that pH of a solution is defined as
[tex]pH = - Log H^+[/tex]
here we know that grape fruit has pH given as 3
[tex]3 = - Log H^+[/tex]
[tex]H^+ = 10^{-3}[/tex]
Now for pH of 8 type solutions we will have
[tex]8 = - Log H^+[/tex]
[tex]H^+ = 10^{-8}[/tex]
So concentration of H+ ions is more in pH 3.0
Mass is 80g. Volume is 40ml. What is the density?
A ray of violet light has a wavelength of about 4.2×10−7 m. will exposure to violet light cause electrons to be emitted from cesium?
Yes, violet light cause electrons to be emitted from caesium.
Given that;
A ray of violet light has a wavelength of about 4.2×10⁻⁷ m.
When exposed to violet light, caesium does have the potential to emit electrons through a phenomenon called the photoelectric effect.
The photoelectric effect occurs when light, in this case, violet light, transfers its energy to electrons in a material, causing them to be emitted.
The emission of electrons is influenced by factors like the intensity of the light, the frequency (or wavelength) of the light, and the properties of the specific material.
In the case of caesium, violet light with a wavelength of about 4.2×10⁻⁷ m falls within the visible light spectrum and can provide enough energy to cause electron emission.
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Final answer:
The subject is photoelectric effect in physics, where the energy of violet light (wavelength of about 4.2×10−7 m) is compared to cesium's work function to determine if electrons will be emitted.
Explanation:
The question involves the concept of photoelectric effect in physics, where light can cause electrons to be emitted from a material. This phenomenon is governed by the work function of the material, which is the minimum energy needed to remove an electron. For cesium, we need to compare the energy of the violet light (approximately 4.2×10−7 m) to the work function of cesium to determine if photoemission would occur.
Using the photoelectric equation and Planck's constant, we can calculate the energy of the photon and then compare it to the work function of cesium. As discussed in the references provided, certain wavelengths of light, like 420-nm violet light with an energy of 2.96 eV, are just above the threshold frequency for materials like calcium. Since the threshold wavelength for cesium is not directly provided, we need to look at the stopping potential mentioned (0.33V for 546nm light for cesium), which gives a hint about the work function of cesium. We understand that if the photon's energy is higher than this work function, electrons will be emitted.
How does a roller coaster create the sensations of falling, and being thrown around?
Final answer:
Roller coasters utilize physics principles like the conversion between potential and kinetic energy, and the manipulation of forces, to create sensations of falling and being thrown around. Apparent weightlessness and centrifugal forces are key in generating these feelings, providing riders with thrilling experiences through rapid descents and high-speed turns.
Explanation:
How Roller Coasters Create Sensations of Falling and Being Thrown Around
Roller coasters are engineered marvels that utilize basic physics principles to create thrilling experiences for riders. The sensations of falling and being thrown around are primarily caused by the manipulation of forces and energy. When a roller coaster car climbs up a hill, it is building potential energy, which is then converted into kinetic energy as it descends. This transition between potential and kinetic energy is what propels the car along the track at high speeds, over hills, and through loops.
Apparent weightlessness is experienced when the car rapidly descends, creating a feeling of free fall. This is similar to the sensation you might feel on a ride like the Supreme Scream, where riders are dropped from a height, causing their guts to feel like they're floating. This feeling is a result of the decreasing force of gravity acting on the riders as they accelerate downwards.
In other attractions, such as the vertical barrel ride, riders experience being pinned to the wall due to centrifugal force. While this force is fictitious in an inertial frame of reference (Earth), it is very real to those in the rotating frame of the ride. The real forces at play include the normal force exerted by the wall on the riders, which counters the gravitational force, creating the sensation of being pressed against the wall.
Roller coasters and similar rides cleverly utilize these principles to create the exhilarating experiences riders love, combining changes in speed, direction, and altitude to manipulate the forces acting on the body.
Which of the following terms relate to one another?
a.fireplace, radiator
b.furnace, boiler
c.furnace, radiator
d.boiler, radiator
The correct answer is D.
Answer:
FURNACE & BOILER
Explanation:
The terms "furnace" and "boiler" relate to one another because they are both forms of central heating. A boiler uses hot water to heat a home, and a furnace uses warm air.
A spherical ball of lead has a diameter of 7.5 cm . what is the mass of the sphere if lead has a density of 11.34 g/cm3? (the volume of a sphere is (43)Ïr3 where r is the radius.)
To find the mass of the lead sphere, calculate its volume using the given diameter and the formula for the volume of a sphere. Then, use the density of lead to find the mass of the sphere.
Explanation:To find the mass of the spherical ball of lead, we need to first find the volume of the sphere using the given diameter. The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius. Since the diameter is given as 7.5 cm, the radius is half of the diameter, which is 3.75 cm or 0.0375 m. We can now calculate the volume of the sphere:
V = (4/3)π(0.0375)^3 = 0.0223 m^3
Next, we can use the density of lead, which is given as 11.34 g/cm^3, to find the mass of the sphere. The density is the mass per unit volume, so we can set up the equation:
Mass = Density × Volume = 11.34 g/cm³ × 0.0223 m³ = 0.253 g
Therefore, the mass of the sphere of lead is 0.253 g.
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The law of reflection states that if the angle of incidence is 62 degrees, the angle of reflection is degrees.
In a movie, a character cuts a wire, which stops the countdown timer of a bomb. What does cutting the wire do to the circuit?
A.) It opens the circuit so that electric charges do not flow to the timer.
B.) It closes the circuit so that electric charges do not flow to the timer.
C.)It opens the circuit so that electric charges flow to the timer.
D.) It closes the circuit so that electric charges flow to the timer.
A.) It opens the circuit so that electric charges do not flow to the timer.
Explanation:
A circuit is said to be "closed" if all its points are connected, so that the current can flow without interruption, while it is said to be "open" if the circuit is interrupted somewhere so that the current cannot flow through it.
In the movie, the character cuts the wire: this way, he opens the circuit, because the charges (the electons) that carry the current cannot flow through it anymore. Therefore, the correct choice is
A.) It opens the circuit so that electric charges do not flow to the timer.
Answer:
A.) It opens the circuit so that electric charges do not flow to the timer.
Explanation:
The lowest possible frequency that can form in a musical instrument is called the _____. fundamental frequency the harmonic the second harmonic the last harmonic
The lowest possible frequency that can form in a musical instrument is called the fundamental frequency. Hence option A is correct.
What is wave ?Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase.
Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down.
Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.
Wavelength is the distance between two points on the wave which are in same phase.
Phase is the position of a wave at a point at time t on a waveform.
There are two types of the wave longitudinal wave and transverse wave.
Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave.
Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave. Light wave is a Transverse wave.
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A charge of 40 µC is pushed by a force of 15 µN a distance of 1.3 mm in an electric field. What is the electric potential difference?
Answer:
ΔV=V1-V2 = 27692307.69volts
Explanation:
Hello! Let's solve this!
The formula to calculate the power difference is
ΔV=V1-V2
V = k * (q / r)
k is a constant that equals [tex]k=9*10^{9}N*m^{2}/C^{2}[/tex]
The data we have are:
[tex]k=9*10^{9}N*m^{2}/C^{2}[/tex]
r = 0.0013m
[tex]q1=40*10^{-6}C\
F=15*10^{-6} N[/tex]
From the following formula we can calculate how much q2 is
F = k * (q1 * q2 / r2)
q2 = (F * r2) / (k * q1)
q2 = (15*10^{-6} N[/tex] * 0.00132) / (9*10^{9}N*m^{2}/C^{2}[/tex] *40*10^{-6}C\)
[tex]q2=7.0417x^{-17}C[/tex]
Now we calculate with q1 and q2, V1 and V2 respectively.
V1 = (9*10^{9}N*m^{2}/C^{2}[/tex] * 40*10^{-6}C\) /0.0013m
V1 = 27692307.69 volts
V2 = (9*10^{9}N*m^{2}/C^{2}[/tex] * 7.0417x^{-17}C[/tex]) /0.0013m
[tex]V2=4.875*10^{-4}volts[/tex]
Then we solve the potential difference:
V1-V2 = 27692307.69 volts-4.875*10^{-4}volts[/tex]
ΔV=V1-V2 = 27692307.69volts
Answer:
C. 4.9 × 10-4 V
Explanation:
ΔV = E d
E = force/charge = 15 µN / 40 µC = 0.375 N/C
ΔV = 0.375 N/C * 0.0013 m = C. 4.9 × 10-4 V
A cat pushes a ball from a 7.00 m high window, giving it a horizontal velocity of 0.20 m/s. how far from the base of the building does the ball land? (assume no air resistance and that ay= g = 9.81 m/s2.)
Mutt and Jeff are running along a path each pushing a cart loaded with rocks. If Mutt's wagon has a mass two times greater than Jeff's and they want to stay together, arriving at their destination at the same time, what must happen?
Answer:
Mutt have to apply twice the larger force than applied by Jeff
Explanation:
Since Mutt and Jeff want to reach the destination at same time
As given that wagon carried by Mutt is twice heavy than wagon of Jeff
Now to reach the destination both of the wagon must be pulled with same acceleration so that both wagon can cover equal distance in equal interval of time
Now we know that
[tex]F = ma[/tex]
since mass of wagon carried by Mutt is twice heavy than wagon of Jeff so here the force applied by Mutt must be twice larger than the force applied by Jeff.
Answer:
Mutt must use twice as much force to push his cart.
Explanation:
yw.
During a fission each time an atom divides ___.
Half the energy released
More energy released
Double the energy is released
It takes 100 n to move a box 10 meters in 5 seconds. how much power is required?
Answer: 200 w in apex
What is the relationship between the horizontal and vertical components of velocity for a projectile launched at an angle between 0° and 90°?
A) Each is independent of the other.
B) Each is dependent on the other.
C)The horizontal component is dependent on gravitational acceleration.
D)The horizontal component decreases with an increase in the vertical component.
Answer:
A. Each is independent of the other.
Hope this helps!
Explanation:
The vertical velocity of a projectile is unaffected by the horizontal velocity; these two components of motion are independent of each other.
One of the advantages of solar energy is that it is _____.
One of the advantages of solar energy is that it is nonpolluting. :)
A woman flies 300 kilometers north, 200 kilometers west, and 500 kilometers south. How far is she from her starting point?
The woman is 282.84 kilometers far from her starting point. The distance is calculated from the given values that women travel.
Given:
The distance covered in the north direction = 300 km
The distance covered in the west direction = 200 km
The distance covered in the south direction = 500 km
The net displacement between the south and north points are:
Distance from the South direction - Distance from the North direction
D = 500 - 300
D = 200 km
From Pythagoras's theorem, the distance from the starting point is:
Distance = √[(200 km)² + (200 km)²]
Distance = √(40000 km² + 40000 km²)
Distance = 282.84 kilometers
Hence, the woman is 282.84 kilometers far from her starting point.
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A farmer pulls on his obstinate mule with 250 N of force to the right. The ground exerts a reaction force to the mule’s resistance of 250 N to the left. What is the net force on the mule system? What is the mule’s acceleration?
a car slows down from 28m/s to rest in a distance of 88m. what was its acceleration assumed constant?
Answer:
The acceleration of the car was -4.4545 m/sec² where the negative sign indicates deceleration (decrease in acceleration)
Explanation:
To answer this question, we will use the following equation of motion:
v² = u² + 2as
where:
v is the final velocity = 0 m/sec (car became at rest)
u is the initial velocity = 28 m/sec
a is the acceleration we want to find
s is the distance covered = 88 m
Substitute with the givens in the equation to get "a" as follows:
v² = u² + 2as
0 = (28)² + 2(a)(88)
0 = 784 + 176a
176a = -784
[tex] a = \frac{-784}{176} [/tex] = -4.4545 m/sec²
Hope this helps :)
If you average 22.8 meters/min, how many seconds will it take you to travel 467 m?
A fox is 7 meters from the base of a tree that is 15 m tall. A nest of owls is at the top of the tree. One of the owlets tosses a piece of meat horizontally from the nest at 1.2 m/s. The fox runs to catch the meat just before it hits the ground. What is the speed of the fox just as he catches the meat?