Answer:
1.5 m/s
Explanation:
The dart moves when it leaves the spring gun with a velocity of 22.4 m/s.
What is Potential energy?Potential energy is defined as the stored energy that depends on the relative position of different parts of a system such as springs have more potential energy when it will be compressed or stretched.
For velocity calculation of the dart when it leaves the spring gun, using the formula for potential energy stored in a spring:
[tex]PE = (1/2)kx^2[/tex]
where,
k is the spring constant
x is the compression of the spring.
Since the spring is compressed by 5 cm, the potential energy stored in it is:
[tex]PE = (1/2)(250 N/m)(0.05 m)^2[/tex]
PE = 6.25 J
The potential energy stored in the spring will be transferred to the dart when it is released which can be calculated from the velocity of the dart using the equation of conservation of energy:
[tex]PE = (1/2)mv^2[/tex]
where,
m is the mass of the dart
v is its velocity.
Solving for v:
v = sqrt(2PE/m)
=> sqrt(2(6.25 J)/(0.025 kg))
=> 22.4 m/s.
Thus, the dart moves when it leaves the spring gun with a velocity of 22.4 m/s.
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Which has a higher momentum, a 3.5kg bowling ball that is rolling at 30
m/s or a 50 kg student moving at 1.75 m/s?
Answer:
The answer of this question
Explanation:
a3.5 kg blowing ball that is rolling at 30 m/s
A metal sphere of radius 10 cm carries a charge of 2.0 MicroCoulomb.What is the magnitude of the electric field 5.0 cm from the sphere's surface?
Answer:
E = 7200 J = 7.2 KJ
Explanation:
The electric field due to a sphere is similar to the electric field due to a point charge. It is calculated by the use of the following formula:
[tex]E = \frac{kq}{r^2}\\[/tex]
where,
E = Electric Field = ?
k = Coulomb Constant = 9 x 10⁹ Nm²/C²
q = charge on sphere = 2 μC = 2 x 10⁻⁶ C
r = distance from the center of the sphere to the location = 5 cm = 0.05 m
Therefore,
[tex]E = \frac{(9\ x\ 10^9\ Nm^2/C^2)(2\ x\ 10^{-6}\ C)}{(0.05\ m)^2}[/tex]
E = 7200 J = 7.2 KJ
What do waves transfer? Question 1 options: matter energy water particles
Give 2 possible definitions of half-life
Answer:
the time taken for the radioactivity of a specific isotope to fall to half its original value.
the time required for any specific property (e.g. the concentration of a substance in the body) to decrease by half.
Explanation:
I don't know if that's what your looking for
4. Anaerobic exercise helps type 2 diabetes.
a. True
b. False
Answer:
true
Explanation:
b/c anaerobic exercis helps type 2 diabetes
30 kg sits on a table the acceleration due to gravity is 10 m/s^2 what force does the table exert on the television.
0.3N
3N
300N
600N
Answer:
300N
Explanation:
F=m×a
F=30kg×10m/s^2
F=300N
If 30 kilograms sit on a table the acceleration due to gravity is 10 meters/second², then the force exerted by the table on the television would be 300 Newtons,
Therefore the correct answer is option C.
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object.
As given in the problem If 30 kilograms sit on a table the acceleration due to gravity is 10 meters/second²,
the force exerted = mass × acceleration due to gravity
= 30 kilograms × 10 meters/second²
= 300 Newtons
Thus, the force exerted by the table on the television would be 300 Newtons,
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Which event occurs during high tide?
All of Earth’s ocean levels rise.
The moon’s orbit is closer to Earth.
The gravity of the Sun and moon cause the Earth’s crust and water to bulge.
Earth’s crust and water are being pulled in opposite directions by the Sun and moon.
Answer:
(B) The moon’s orbit is closer to Earth.
Explanation:
Answer:
B
Explanation:
This diagram shows a heating curve for water.
At which segment does freezing occur?
The answer is B.) W-V
Hope this helps
Answer:
it is B
Explanation:
Because I agree with her and also got 100
How many degrees equal π in radians? How many revolutions (turns) equal π radians?
Answer:
It follows that the magnitude in radians of one complete revolution (360 degrees) is the length of the entire circumference divided by the radius, or 2πr / r, or 2π. Thus 2π radians is equal to 360 degrees, meaning that one radian is equal to 180/π ≈ 57.295779513082320876 degrees.
Explanation:
HURRY URGENT ASAP I WILL GIVE BRAINLIEST
What does mutate mean?
a)Change the DNA of your cells
b) Kill your DNA
c)Kill your cell
d)Change the cell
Answer:
A
Explanation:
please answer this time question in do not send a link to an unknown website or you are getting reported.
(1) Use Newton's second law: The force F required to accelerate a mass m with acceleration a satisfies
F = m a
So the force needed to accelerate the lion-stretcher system is
F = (175 kg) (2 m/s²) = 350 N
(2) Average speed is defined as the ratio of distance traveled to the time it takes to travel that distance, so in this case the bus's average speed is
(280 km) / (4 h) = 70 km/h
(3) The vertical lines in the plot split up the distance function into 5-minute chunks. The one with the highest average speed is the one over which the distance changes the most. Roughly, the average speeds over each of the given choices is
• 0 to 5 min : (1500 m - 0 m) / (5 min) = 300 m/min
• 10 to 15 min : (3250 m - 2500 m) / (5 min) = 150 m/min
• 15 to 20 min : (3750 m - 3250 m) / (5 min) = 100 m/min
• 25 to 30 min : (4500 m - 4250 m) / (5 min) = 50 m/min
(4) Velocity is a vector, so it has both magnitude and direction. A car moving at constant velocity would be traveling at the same magnitude and direction. But a car on the circular track is constantly turning and changing direction.
A 905 kg test car travels around a 3.25 km circular track. if the magnitude of the force that maintains the car's circular motion is 2140 N, what is the car's tangential speed?
All waves travel through a
Group of answer choices
frequency
conductor
medium
wave
The density of red wood is 15.27 g/cm'. A piece of red wood has the volume of 18.721 cm', what is the
mass?
which statement identifies a reason to preserves wetlands
Answer:
They store floodwater
Explanation:
7. It takes 1 second to hear the reflection of a loud noise made in front of a large barrier. If
the speed of sound in air is 340 m/s, how far away is the barrier?
A. 85 m
B. 170 m
C. 340 m
D. 680 m
Answer:
C 340 m
Explanation:
may i be marked brainliest?
The properties of metals depend mainly on the number and arrangement of neutrons
True
False
Answer:
False
Explanation:
Electrons
After the full moon, the moon begins its shrinking or_phases. During these phases, the light side of the moon is on the_
A. Waning, left
B. Waxing, right
C. Waxing, left
D. Waning, right
What force is caused by tiny collisions, called microwelds, on surfaces that
are stuck together?
A. heat
B. energy
C. air resistance
D. friction
Answer:
D. Friction
Explanation:
"Friction is caused by microwelds that form between two surfaces. Microwelds are stronger when the two surfaces are pushed together with a greater force." - ( Module 3 • Forces and Newton’s Laws) quoted
hope this helps and is right. p.s. i really need brainliest :)
Answer:
Friction
Explanation:
Took The Test
Dimas reads that it takes 270 N to lift a firefighter's equipment. If a firefighter does 5400 J of work carrying the equipment up a staircase, how high does the firefighter climb? (Work: W = Fd) 20 m 200 m 5130 m 1,458,000 m
Answer:
h = 20 m
Explanation:
Given that,
Force to lift a firefighter's equipment, F = 270 N
Work done, W = 5400 J
We need to find the height climbed by the firefighter. We know that,
Work done, W = Fd
So,
[tex]d=\dfrac{W}{F}\\\\d=\dfrac{5400}{270}\\\\d=20\ m[/tex]
So, the firefighter climb from a height of 20 m.
Answer:
Its A
Explanation: I got it right on Edge *lip bite*
An aircraft is moving horizontally with a speed of 50m/s, at the height of 2km, an object is dropped from the aircraft. What is the vertical and horizontal velocity of an object if the angle is 23 degrees and the time interval for the object hits the ground?
Explanation:
use the diagram^
horizontal velocity of the object nvr changes, it'll stay 50m/s till it hits the ground
initial vertical velocity = 0
to find the final vertical velocity, use the formula:
[tex]v {}^{2} = u {}^{2} + 2as[/tex]
where u = 0m/s, a = 9.8m/s², and s = 2000m
solve for v.
for time taken to reach ground, use the formula:
[tex]v = u + at[/tex]
where v = the value for v u calculated above, u = 0 m/s, a = 9.8m/s² and solve for t.
A person invested
$
8
,
900
$8,900 in an account growing at a rate allowing the money to double every 7 years. How long, to the nearest tenth of a year would it take for the value of the account to reach
$
20
,
600
$20,600?
Answer:
8.5
Explanation:
To the nearest tenth of a year, it would take around 9.1 years when calculate compoundly for the account's worth to reach $20,600.
What is Compound interest?A loan or investment's initial principal as well as any accrued interest from earlier periods are both taken into account when calculating compound interest.
To resolve this issue, we can apply the compound interest formula:
A = P(1 + r/n)nt
where:
A represents the balance of the account after t years.P stands for the initial outlay ($8,900 in this case).The annual interest rate is r, which is unknown.The number n determines how often interest is compounded each year (in this case, once every seven years because the value of the money doubles every seven years).The number of years is t.When A = $20,600, we need to determine t. Since we are aware that the initial investment would double after seven years, we can use the following formula to determine the yearly interest rate:
2 = (1 + r/n)^(nt)
If n is 1/7 (since the investment twice once every 7 years), 2 is the factor by which the investment doubles, and t is an unknown.
When we simplify this equation, we obtain:
t log(1 + r/7) = log(2)
When we solve for r, we get:
r = 7[(2^(1/t))-1]
Now that we have P, r, n, and A, we can enter them into the compound interest formula to find t:
$20,600 = $8,900(1 + r/1)^(1t)
2.318 = (1 + r)^t = log (2.318) / log (one plus r)
t is equal to log(2.318)/log(1 + 7[(2(1/t))-1]).
We can iteratively solve for t using a calculator, beginning with a first guess of 7 years (because the investment doubles every 7 years):
r = 0.0998 and A = $17,800 for t = 7 years
r = 0.0909 and A = $19,397 for t = 8 years.
r = 0.0833 and A = $20,416 for t = 9 years.
r = 0.0823 and A = $20,601 (closest to $20,600) for t = 9.1 years
As a result, it would take the account's value to reach $20,600 in around 9.1 years (to the nearest tenth of a year).
Therefore, when calculated compoundly, it would take approximately 9.1 years for the account's value to reach $20,600, to the nearest tenth of a year.
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A bat produces a sound at 17,250Hz and wavelength 0.019m. What is
the speed of the sound?
Explanation:
v = f × /\
v = 17250 × 0.019
v = 327.75ms²
A produces a sound at a frequency of 17,250 Hz and wavelength of 0.079 m then the speed of sound will be equal to 327.75 m/s².
What is Wavelength?The distance between two identical locations (adjacent crests) in successive cycles is known as the wavelength, and it is used to describe waveform signals that are transmitted over wires or into space. Typically, in wireless systems, this length is specified in meters (m), centimeters (cm), or millimeters (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10⁻⁹ m, or angstroms, which are units of 10⁻¹⁰ m, for infrared (IR), visible light (UV), and gamma radiation.
As per the given information in the question,
Frequency, f = 17,250 Hz
The wavelength λ = 0.019 m
Then the speed of the sound (v) will be,
v = f × λ
v = 17250 × 0.019
v = 327.75 m/s²
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The momentum of a car traveling in a straight line at 20 m/s is 24,500 kg•m/s. What is the cars mass?
Answer:
p=mv
p=given=24500kg-m/sec
m=?
v=20m/sec
m=p/v
=24500kg-m/sec÷20m/sec
=1225kg=ans
Answer:
1225kg=ans
Explanation:
5. What is the frequency of a sound wave when the speed of the sound is 340 m/s and has a wavelength of 1.21 m?
Explanation:
v = f × /\
340 = 1.21f
f = 280.99Hz
Una barra de plata de 335.2 g con una temperatura de 100 ºC se introduce un calorímetro de aluminio de 60 g de masa que contiene 450 g de agua a 23 ºC. Sr agita la mezcla y la temperatura se incrementa hasta 26 ºC. ¿Cuál es el calor especifico de la plata?
Respuesta:
0,0560 cal / gºC.
Explicación:
Cantidad de calor; (Q)
Q = mcΔt; Δt = t2 - t1
m = masa, c = capacidad calorífica específica; Δt = cambio de temperatura
c de agua = 1 cal / gºC
c de aluminio = 0,22 cal / gºC
QTotal = Q de agua + Q de aluminio
Q de agua = 450 * 1 * (26 - 23) = 1350 cal
Q de aluminio = 60 * 0.22 * (26 - 23) = 39.6 cal
QTotal = 1350 + 39,6 = 1389,6 cal
Calor perdido = calor ganado
QTotal = calor perdido
- 1389,6 = 335,2 * c * (26 - 100)
-1389,6 = −24804,8 * c
c = 1389,6 / 24804,8
c = 0,056021 cal / gºC.
Capacidad calorífica específica de la plata = 0,0560 cal / gºC.
You have two photos of a person walking. One shows the person at the corner of Third and Main streets, the other shows the person at the corner of Tenth and Main streets. There are lampposts at every corner in this town, and the first picture shows it to be 10:32:00 exactly. The second picture shows it to be 10:49:30. You know three facts: (1) All of the clocks are synchronized; (2) there are exactly 12 equal-sized blocks per kilometer in this town; and (3) the streets that cross Main in this area are numbered consecutively, with no interruptions. What is the person’s average speed in kilometers per hour?
Answer:
average speed
= [(10-3)/12 km] / [(49.5-32.0)/60 hour]
= 5*7 / 17.5
= 2 km/h .
A 700 kg car going 12 m/s speeds up to 30.6 m/s in 7 seconds. How much work was done to increase its speed?
Answer:
Approximately [tex]2.8 \times 10^{5} \; \rm J[/tex] (assuming that the car is moving on level ground, and that there is no friction to hinder the motion of the car.)
Explanation:
Formula for the kinetic energy, [tex]\rm KE[/tex], of an object of [tex]m[/tex] travelling at velocity [tex]v[/tex]:
[tex]\displaystyle \text{KE} = \frac{1}{2}\, m \cdot v^{2}[/tex].
Let [tex]v_1[/tex] and [tex]v_2[/tex] denote the velocity of this car before and after the acceleration.
Kinetic energy of this car before the acceleration:
[tex]\begin{aligned}\text{KE}_1 &= \frac{1}{2}\, m \cdot {v_1}^{2} \\ &= \frac{1}{2} \times 700\; \rm kg \times (12\; \rm m \cdot s^{-1})^{2} \\ &\approx 5.0 \times 10^{4}\; \rm J\end{aligned}[/tex].
Kinetic energy of this car after the acceleration:
[tex]\begin{aligned}\text{KE}_2 &= \frac{1}{2}\, m \cdot {v_2}^{2} \\ &= \frac{1}{2} \times 700\; \rm kg \times (30.6\; \rm m \cdot s^{-1})^{2} \\ &\approx 3.3\times 10^{6}\; \rm J\end{aligned}[/tex].
Assume that this car was travelling on level ground. Also assume that there is no friction to hinder the motion of this car. The work of the engine of this car would be equal to the amount of [tex]\rm KE[/tex] that the car has gained:
[tex]\rm KE_2 - KE_1 \approx 2.8\times 10^{5}\; \rm J[/tex].
A prism is made from transparent plastic. In this plastic, light travels at 0.8
in air. Light enters one face of the prism at right-angles as shown.
NOT TO
SCALE
ө
The light just escapes from the sloping face of the prism.
What is angle 0?
A 37°
B
390
С
510
D
53°
Answer:
Real answer is im sorry if im wrong
Explanation:
A 53°
The value of the angle Θ will be 51.3°. Option C is correct.
What is the definition of geometry?It is concerned with the geometry, region, and density of various 2D and 3D shapes.
From snell's law;
[tex]\rm n= \frac{sini}{sinr} \\\\ 0.8= \frac{sin(90-\theta)}{sin \theta} \\\\ 0.8= cot \theta \\\\ \theta= cot^{-1} (0.8)\\\\ \theta =51.3^0[/tex]
The value of the angle Θ will be 51.3°.
Hence,option C is correct.
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True or false? In a linear relationship, a change in one variable will always result in a change of the
same size in the other variable.
The statement 'in a linear relationship, a change in one variable will always result in a change of the same size in the other variable' is FALSE.
What is a linear relationship?A linear relationship is a type of association between two variables where a change in one produces a direct modification in the another one.
A linear relationship may change depending on the rate of change and therefore the size of this variation is not the same.
In conclusion, the statement 'in a linear relationship, a change in one variable will always result in a change of the same size in the other variable' is FALSE.
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