Answer:
a)W=8.333lbf.ft
b)W=0.0107 Btu.
Explanation:
<u>Complete question</u>
The force F required to compress a spring a distance x is given by F– F0 = kx where k is the spring constant and F0 is the preload. Determine the work required to compress a spring whose spring constant is k= 200 lbf/in a distance of one inch starting from its free length where F0 = 0 lbf. Express your answer in both lbf-ft and Btu.
Solution
Preload = F₀=0 lbf
Spring constant k= 200 lbf/in
Initial length of spring x₁=0
Final length of spring x₂= 1 in
At any point, the force during deflection of a spring is given by;
F= F₀× kx where F₀ initial force, k is spring constant and x is the deflection from original point of the spring.
Change to lbf.ft by dividing the value by 12 because 1ft=12 in
100/12 = 8.333 lbf.ft
work required to compress the spring, W=8.333lbf.ft
The work required to compress the spring in Btu will be;
1 Btu= 778 lbf.ft
?= 8.333 lbf.ft----------------cross multiply
(8.333*1)/ 778 =0.0107 Btu.
<h3><u>Volume is 0.1848 m³</u></h3><h3 />
Explanation:
<h2>Given:</h2>
m = 49.9 kg
ρ = 270 kg/m³
<h2>Required:</h2>
volume
<h2>Equation:</h2>
where: ρ - density
m - mass
v - volume
<h2>Solution:</h2>
Substitute the value of ρ and m
<h2>Final Answer:</h2><h3><u>Volume is 0.1848 m³</u></h3>
when a car moves on a rode and it,s force is =100,000N
D) the ability to make things happen
Explanation:
Energy is simply defined as the ability to do work or to make things happen. Energy is important to all aspects of living and non-living things. Based on the law of conservation of energy "energy can neither be created nor destroyed but can be transformed from one form to another".
Different forms of energy exists such as heat, thermal, chemical, mechanical, sound, electrical, e.t.c
Learn more:
Energy brainly.com/question/8727665
#learnwithBrainly
Answer:
29.22 N
Explanation:
Parameters given:
Density = 7800 kg/m³
Diameter of rod = 2.4cm = 0.024m
Radius = 0.012m
Length = 84.5cm = 0.845m
To find the weight, we must find get the mass.
Density is given as:
Density = mass/volume
Therefore, mass is:
Mass = density * volume
Volume of the cylindrical rod is:
Volume = pi * r² * h
Volume = 3.142 * 0.012² * 0.845
Volume = 0.0003823 m³
Mass = 7800 * 0.0003823
Mass = 2.982 kg
Weight = m * g
Where g is acceleration due to gravity
Weight = 2.982 * 9.8 = 29.22 N
