Answer:
a) T = 20.601 N
b) T = 9.4585 N
Step-by-step explanation:
The tension in the string if the 5.8 kg box is held in place, so that it cannot move can be obtained as follows
For m = 2.1 Kg
∑ Fy = 0
T - W = 0 ⇒ T = W = m*g
⇒ T = 2.1 Kg*9.81 m/s²
⇒ T = 20.601 N (↑)
The tension in the string once the box begins to move can be obtained as follows
For M = 5.8 Kg
∑ Fx' = M*a
where x' is the direction of the slope
then
∑ Fx' = M*a ⇒ <em>T - M*g*Sin ∅ = M*a (I)</em>
For m = 2.1 Kg
∑ Fy = m*a
⇒ T - W = m*a
⇒ <em>T - m*g = m*a (II)</em>
If we solve the system of equations that comprises <em>I</em> and <em>II</em> we will know T:
T = M*m*g*(Sin ∅ -1) / (m - M)
⇒ T = (5.8 Kg)(2.1 Kg)(9.81 m/s²)(Sin 45º - 1) / (2.1 Kg - 5.8 Kg)
⇒ T = 9.4585 N
Answer:
your answer will be D). (6,9)
Step-by-step explanation:
hope it helps bye!!
The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The Margin of error in this survey is 1%.
<h3>What is the margin of error?</h3>
The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.
The random sample of 2500 sports fans, out of which 61% prefer basketball over soccer, therefore, we can write n=2500 and p=0.61. Thus, the margin of error can be written as,
Hence, the Margin of error in this survey is 1%.
Learn more about Margin of Error:
brainly.com/question/13990500
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Answer:
see explanation
Step-by-step explanation:
Consider the left side
1 + cot²A
= 1 + 
= 
= 
= cosec²A
= right side, thus proven
Answer:
the third one
Step-by-step explanation:
the square root of 25 is 5. 5+2 = 7.
this is a rational number (the set of all integers and fractions).
the other 2 portions contain at least one element that is not rational. and so the sum with such a number is not rational.
45 and 7 are no square numbers, and therefore the square root of these numbers contains a neverending chain of digits after the decimal point without having any repeating pattern. these are real numbers but not rational numbers.
