Question about Rationalization of Denominators
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Rationalization of Denominators
Rationalization of Denominators
Difficulty Easy
Easy
(Originais Teachy 2024) - Question Easy of Mathematics
During the construction of an amusement park, an architect needed to calculate the height of a new extreme ride to ensure the safety of the users. The height of the free fall was designed to create a sensation of extreme speed, with the tracks described by a parabola in the air. To ensure the integrity of the structure, the architect needs to calculate the ratio between the velocity of a cart at the highest point of the parabola and the gravitational force pulling it down, represented by the weight of the cart. This ratio is directly influenced by the angle formed by the parabola in relation to the ground, which, in turn, depends on the height of the highest point. If the height of the highest point is represented by √10 meters, and the desired ratio is expressed as a fraction where the numerator is the square root of g (√g) and the denominator is the mass of the cart, in kilograms, rationalize the expression that represents the velocity of the cart at the highest point, in order to correctly identify the gravitational force acting on it.a.
√g / (10 * m), where m is the mass of the cart in kilograms.
b.
√(10 * g) * m, where m is the mass of the cart in kilograms.
c.
(g * 10) / m², where m is the mass of the cart squared in kilograms.
d.
√(g * 10) / m, where m is the mass of the cart in kilograms.
e.
g / (10 * m²), where m is the mass of the cart squared in kilograms.
Answer sheet:
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