Your friend has slipped and fallen. To help her up, you pull with a force F, as the drawing shows. The vertical component of thi
1 answer:
This question can be solved using the concept of the composition of the vector.
(a) The magnitude of F is b "164.27 N".
(b) The angle of the vector from horizontal is " ".
(a)
From the composition of the rectangular components of a vector, we know that the magnitude of the resultant vector is given by the following formula:
where,
= x-component of the force = 122 N
= y-component of the force = 110 N
Therefore,
<u>F = 164.27 N</u>
(b)
The angle of the vector is given by the following formula:
<u>θ = 42.04°</u>
Learn more about the composition of vector here:
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The answer is 24.84kJ.
We apply the expression for the work done by the heat engine is,
. Putting all given values in the equation we get the final answer.
What is heat engine?
- A heat engine is a machine that uses heat to generate power. It draws heat from a reservoir, uses that heat to produce work, such as move a piston or lift weights, and then releases that heat energy into the sink.
- We are given:The heat input is
. The heat output is
.
- The expression for the work done by the heat engine is,
- Substituting the given values in the above expression, we will get
=24.84kJ.
- Thus, the work done by the heat engine is 24.84kJ.
To learn more about heat engine visit: brainly.com/question/15735984
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Answer:
d_{b} = 2 d_{a}
Explanation:
The electrical resistance for a cylindrical wire is described by the expression
R = ρ L / A
The area of a circle is
A = π r²
r = d / 2
A = π d²/4
We substitute
R = ρ L 4 /π d²
Let's apply this expression to our case, they indicate that the resistance of wire A is 4 times the resistance of wire B
= 4 R_{b}
We substitute
ρ 4/π ² = 4 (ρ 4/π d_{b}²)
1 / d_{a}² = 4 / d_{b}²
d_{a} = d_{b} / 2