Answer:
B. Solute
Explanation:
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The shorter the time required to cover the same distance, the greater the speed of the RC car.
Acceleration is rate of change of velocity.
a = acceleration (m / s²)v = final velocity (m / s)
u = initial velocity (m / s)
t = time taken (s)
d = distance (m)
Let us now tackle the problem!
The formula for finding speed is:
v = velocity (m/s)
s = distance (m)
t = time taken (s)
From the formula above, it is clear that speed is inversely proportional to travel time. The shorter the time required to cover the same distance, the greater the speed of the RC car.
For example, let's look at the data in the table in the attachment. RC Car B has the greatest speed
Grade: High School
Subject: Physics
Chapter: Kinematics
Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate
In this question we have given
velocity of missile=1350m/s
angle at which missile is moving=25degree
distance between missile and targets=23500m
angle between target and missile=55degree
time=10.2s
To find the final velocity of missile we will first find the acceleration required
Let x be the horizontal component of distance
x - vertical component of distance
t-time
ax- horizontal component of acceleration
ay-Vertical component of acceleration
Vx-horizontal component of velocity
Vy-Vertical component of velocity
horizontally: x = Vx*t + ½*ax*t²
23500m * cos55.0º = 1350m/s * cos25.0º * 10.20s + ½ * ax * (10.20s)²
ax = 19.2 m/s²
V'x = Vx + ax*t = 1350m/s * cos25.0º + 19.2m/s² * 10.20s = 1419 m/s
similarly vertically:
y = Vy*t + ½*ay*t²
23500m * sin55.0º = 1350m/s * sin25.0º * 10.20s + ½ * ay * (10.20s)²
ay = 258 m/s²
V'y = Vy + ay*t = 1350m/s * sin25.0º + 258m/s² * 10.20s = 3204 m/s
Therefore
V = √(V'x² + V'y²) = 3504 m/s
therefore magnitude of final velocity of missile=3504m/s
The gravitational force between two individual masses can be calculated using Newton's law of universal gravitation. Given the total mass and the gravitational force, we can derive a quadratic equation to solve for the individual masses. The quadratic formula is then used to solve this equation.
The properties of the gravitational force between two masses can be derived from Newton's law of universal gravitation: F = G * (m1*m2) / r². In this equation, F is the force between the masses, G is the gravitational constant (approximately 6.674 * 10^{-11} N*(m²/kg²)), m1 and m2 are the masses, and r is the distance between the centers of the two masses.
Given that F = 8.50 * 10^{-9} N, r = 0.205 m (we need to convert cm to m), and m1 + m2 = 5.80 kg, we can substitute the known values into the equation to solve for the two masses.
This results in a quadratic equation in terms of one of the masses, which can be solved using the quadratic formula: -b ± sqrt(b² - 4ac) / 2a. Once we solve this equation we get the individual values of m1 and m2.
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To find the values of m1 and m2, we can use the formula for gravitational force and solve for each mass. By substituting the given values, solving the equation, and simplifying, we can find the individual masses. The value of m1 is approximately 0.07415 kg and the value of m2 is approximately 0.05728 kg.
To determine the value of the individual masses, we can use the formula for gravitational force: F = G * (m1 * m2) / r^2, where G is the gravitational constant and r is the distance between the masses. Rearranging the formula, m1 = (F * r^2) / (G * m2). Substituting the given values, we can solve for m1 and m2.
Therefore, the value of m1 is approximately 0.07415 kg and the value of m2 is approximately 0.05728 kg.
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Answer:
1069.38 gallons
Explanation:
Let V₀ = 1.07 × 10³ be the initial volume of the gasoline at temperature θ₁ = 52 °F. Let V₁ be the volume at θ₂ = 97 °F.
V₁ = V₀(1 + βΔθ) β = coefficient of volume expansion for gasoline = 9.6 × 10⁻⁴ °C⁻¹
Δθ = (5/9)(97°F -52°F) °C = 25 °C.
Let V₂ be its final volume when it cools to 52°F in the tank is
V₂ = V₁(1 - βΔθ) = V₀(1 + βΔθ)(1 - βΔθ) = V₀(1 - [βΔθ]²)
= 1.07 × 10³(1 - [9.6 × 10⁻⁴ °C⁻¹ × 25 °C]²)
= 1.07 × 10³(1 - [0.024]²)
= 1.07 × 10³(1 - 0.000576)
= 1.07 × 10³(0.999424)
= 1069.38 gallons
To calculate the amount of gasoline that can be poured into the tank, we need to find the change in volume of the gasoline when its temperature changes from 97.0°F to 52.0°F. Using the equation for volume expansion, we can calculate this change in volume to be approximately 258 gallons.
To calculate the amount of gasoline that can be poured into the tank, we need to find the change in volume of the gasoline when its temperature changes from 97.0°F to 52.0°F. We can use the equation for volume expansion to calculate this change in volume:
ΔV = V₀ * β * ΔT
Where ΔV is the change in volume, V₀ is the initial volume, β is the coefficient of volume expansion, and ΔT is the change in temperature.
In this case, the initial volume V₀ is 1.07 * 10³ gallons, the coefficient of volume expansion β is 9.6 * 10⁻⁴ (°C)⁻¹, and the change in temperature ΔT is (52.0°F - 97.0°F) = -45.0°F.
Converting the change in temperature to Celsius: ΔT = (45.0°F) * (5/9) = -25.0°C.
Plugging in these values into the equation, we get:
ΔV = 1.07 * 10³ * 9.6 * 10⁻⁴ * -25.0 = -258 gallons.
Therefore, when the gasoline is poured into the tank, approximately 258 gallons will be poured out of the truck.
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