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Troyanec [42]
3 years ago
10

A particle moving along the x-axis has a position given by m, where t is measured in s. What is the magnitude of the acceleratio

n of the particle at the instant when its velocity is zero
Physics
1 answer:
8090 [49]3 years ago
4 0

Question:

A particle moving along the x-axis has a position given by x=(24t - 2.0t³)m, where t is measured in s. What is the magnitude of the acceleration of the particle at the instant when its velocity is zero

Answer:

24 m/s

Explanation:

Given:

x=(24t - 2.0t³)m

First find velocity function v(t):

v(t) = ẋ(t) = 24 - 2*3t²

v(t) = ẋ(t) = 24 - 6t²

Find the acceleration function a(t):

a(t) = Ẍ(t) = V(t) = -6*2t

a(t) = Ẍ(t) = V(t) = -12t

At acceleration = 0, take time as T in velocity function.

0 =v(T) = 24 - 6T²

Solve for T

T = \sqrt{\frac{-24}{6}} = \sqrt{-4} = -2

Substitute -2 for t in acceleration function:

a(t) = a(T) = a(-2) = -12(-2) = 24 m/s

Acceleration = 24m/s

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Answer:

Thermal/Heat energy, kinetic energy, light energy, & Electromagnetic  energy

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A backpack weighs 8.2 newtons and has a mass of 5kg on the moon. What is the strength of the gravity on the moon?
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Using:
F = ma

a = 8.2 / 5
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The gravitational field strength is equivalent to 1.64 N/kg.
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With all his gear, Neil Armstrong weighed 360 pounds on Earth. When he landed on the Moon, he weighed 60 pounds. Why?
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4 0
3 years ago
A fireman standing on a 15 m high ladder operates a water hose with a round nozzle of diameter 2.02 inch. The lower end of the h
Nataly_w [17]

Answer:

v₁ = 1,606 10⁴ m / s

Explanation:

For this exercise we must use Bernoulli's equation, let's use index 1 for the nozzle on the stairs and index 2 the pump on the street

              P₁ + ½ ρ v₁² + ρ g y₁ = P₂ + ½ ρ v₂² +ρ g y₂

             

The pressure when the water comes out is the atmospheric pressure

           P₁ = P_atm

The difference in height between the street and the nozzle on the stairs is

           y₂-y₁ = 15 m

Now let's use the continuity equation

             v₁ A₁ = v₂ A₁

The area of ​​a circle is

             A = π r² = π (d/2)²

            v₁ π d₁²/ 4 = v₂ π d₂²/ 4

            v₂ = v₁ d₁² / d₂²

Let's replace

           P₂-P_atm + ½ ρ [ (v₁ d₁² / d₂²)²- v₁² ] + ρ g (y2-y1) = 0

           P₂- P_Atm + ρ g (y₂-y₁) = ½ ρ v₁² [1- (d₁/d₂)⁴]

           v₁² [1- (d₁/d₂)⁴] = (P₂-P_atm) ρ / 2 + g (y₂-y₁) / 2

Let's reduce the magnitudes to the SI system

           d₂ = 3.37 in (2.54 10⁻² m / 1 in) = 8.56 10⁻² m

           d₁ = 2.02 in = 5.13 10⁻² m

Let's calculate

            v₁² [1- (5.13 / 8.56) 4] = 449.538 10³ 10³/2  -9.8 15/2

            v₁² [0.8710] = 2.2477 10⁸ - 73.5 = 2.2477 10⁸

            v₁ = √ 2.2477 10⁸ /0.8710

             v₁ = 1,606 10⁴ m / s

4 0
3 years ago
An atom has a mass of 24 and a nuclear charge of 12. Which statement about the atom is accurate?
Oksana_A [137]

The correct answer is It has equal numbers of neutrons and protons.

A characteristic that can be physically determined, the atomic mass of an atom is equal to the total mass of the protons, neutrons, and electrons that make up the atom. The number of protons in the atom's nucleus is indicated by the atomic number. It is equal to the atomic number in value. Moving over the periodic table causes the nuclear charge to grow. The charge is filled when the electrons approach the protons.

The protons and neutrons of an atom are added to determine the mass number. Therefore, the mass number for each atom will be twice the atomic number (number of protons) if the number of protons (atomic number) and neutrons are identical.

To learn more about  protons and neutrons refer the link:

brainly.com/question/13119648

#SPJ9

5 0
1 year ago
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