The force acting on the particle at t = 1 s is 24.4 N.
Mass of the particle, m = 2 units
Distance of the curve, r(t) = (4t²- t³)i - 5tj + (t⁴- 2)k
The velocity of the particle,
v = d[r(t)]/dt = (8t - 3t²)i - 5j + 4t³k
The acceleration of the particle,
a = d²[r(t)]/dt² = (8 - 6t)i + 12t²k
Let the time for which the force is acting be 1 second.
Therefore, acceleration at t = 1 is,
a₁ = 2i + 12k
Hence, the magnitude of acceleration,
|a₁| = √(2²+ 12²)
|a₁| = √148
|a₁| = 12.2 unit/s²
Therefore, the force acting on the particle at t = 1 s is,
F₁ = m x |a₁|
F₁ = 2 x 12.2
F₁ = 24.4 N
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1. Which of the following does not affect the resistance of a wire?
a) Length
b) Temperature
c) Usage time
d) Cross-sectional area
2. If a 12V battery is passing current through a resistor with a current of 2A, what is the value of the resistor?
a 24resistance
b) 14resistance
c) 10resistance
d) 6resistance
3. Describe the differences between series and parallel circuits.
4. A circuit contains resistors of 8resistance and 4resistance，what is combined resistance if the resistors are combined:
a) In series
b) In parallel
5. A 0.5A current is passing across three resistors of 8resistance, 4resistance and 12resistance that are linked in series.
What is the potential difference of the circuit?
6. Wire A has a resistance of 24resistance. If wire B is double the length and has a diameter four times as large as wire A, what is the resistance of wire B?
Waves portfolios I will give brainliest!
Now, leave the frequency constant, but play with the amplitude. What is the affect of changing the
amplitude on the tone generated?
Now, leave the frequency of wave constant, but play with the amplitude. then the effect of changing the amplitude on the tone generated is its loudness. more the amplitude more it will be loud.
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.
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Gavin can type 1/2 page of his book report in 5 3/4 minutes what’s the typingrate
Answer:
Jim Crow Laws Effects.
User
What were Jim Crow laws? Your response should also describe at least two effects Jim Crow laws
had on the rights of Black Americans. (4 points)
ChatGPT
Jim Crow laws were a set of state and local laws in the United States, enacted between the 1870s and 1960s, that enforced racial segregation and discrimination against Black Americans. These laws were named after a popular 19th-century minstrel show character who stereotyped African Americans.
Two effects of Jim Crow laws on the rights of Black Americans were:
Limited access to public facilities: Jim Crow laws mandated that public spaces such as schools, parks, hospitals, and restaurants were segregated by race. Black Americans were often denied access to public spaces that were reserved for white people. This segregation limited the ability of Black Americans to participate fully in public life and access resources and opportunities that were available to white Americans.
Restricted voting rights: Jim Crow laws were used to disenfranchise Black Americans by making it difficult or impossible for them to vote. These laws included literacy tests, poll taxes, and other requirements that were designed to exclude Black Americans from voting. As a result, many Black Americans were unable to exercise their constitutional right to vote until the Voting Rights Act of 1965 was passed. This restriction on voting rights undermined the ability of Black Americans to participate fully in democracy and have their voices heard.
User
Gavin can type 1/2 page of his book report in 5 3/4 minutes what’s the typingrate
ChatGPT
To calculate Gavin's typing rate, we need to divide the amount he can type by the time it takes him to type it.
First, we need to convert the mixed number 5 3/4 into an improper fraction:
5 3/4 = (4 x 5 + 3)/4 = 23/4
Next, we can convert the mixed number 1/2 into an improper fraction:
1/2 = 2/4
Now, we can add the two fractions:
23/4 + 2/4 = 25/4
This means that Gavin can type 25/4 pages in 5 3/4 minutes.
To find Gavin's typing rate, we need to divide the amount he can type (25/4 pages) by the time it takes him to type it (5 3/4 minutes):
Typing rate = (25/4) / (5 3/4)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
Typing rate = (25/4) x (4/23)
Simplifying the fractions, we get:
Typing rate = 25/23
Therefore, Gavin's typing rate is 25/23 pages per minute.
An isolated charged conductor sphere of radius 12cm has an electric field 49000 N/C at distance 21cm its center
What is its surface charge denisty
The surface charge density of the isolated charged conductor sphere is approximately 22.15 [tex]C/m^{2}[/tex]
The surface charge density of an isolated charged conductor sphere can be determined using the formula:
σ = E / ([tex]4πr^{2}[/tex])
where σ is the surface charge density, E is the electric field strength, and r is the distance from the center of the sphere.
In this case, the electric field strength E is given as 49000 N/C, and the distance from the center of the sphere r is 21 cm (which can be converted to meters as 0.21 m). Plugging these values into the formula, we have:
σ = (49000 N/C) / [tex](4π * (0.21 m)^{2})[/tex]
Calculating this expression, we find:
σ ≈ 22.15 [tex]C/m^{2}[/tex]
Therefore, the surface charge density is approximately 22.15 [tex]C/m^{2}[/tex]. This indicates the amount of charge per unit area distributed on the surface of the sphere.
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