Answer:
<h2>1567.09 N/m</h2>
Explanation:
Step one:
given data
mass m=5kg
compression x= 3.13cm to m= 0.0313m
<em>According to Hooke's law, provided the elastic limit of an elastic material is not exceeded the extension e is directly proportional to the applied force</em>
F=ke
where
k= spring constant in N/m
e= extension/compression in
Step two:
assume g= 9.81m/s^2
F=mg
F=5*9.81
F=49.05N
substitute in the expression F=ke
49.05=k*0.0313
k=49.05/0.0313
k=1567.09 N/m
<u>The force constant (in N/m) of the spring is 1567.09 N/m</u>
Answer:
8.59 rad/s
Explanation:
Given that:
A thin uniform cylindrical turntable radius = 2.7 m
with a mass (M) = 22 kg
initial angular speed (ω₁) = 12 rad/s
Mass of the clump of the clay (m) = 11 kg
Diameter (d) from the point of rotation = 1.7 m
We are to find the final angular velocity (ω₂) ,To do that; we apply the conservation of annular momentum; which is as follows:
L₁ = L₂
l₁ω₁ = l₂ω₂
( 0.5 × M × r²) × ω₁ = (0.5 × M × r² + md²) ω₂
Making ω₂ the subject of the formula ; we have:



Hence, the angular speed of the clay and turntable = 8.59 rad/s
Oil is a compound.
The species which contain more than one element is called compound. Oil is a mixture of many elements like liquid hydrocarbons, oxygen, nitrogen, sulphur, hydrogen gas etc. This elements form a large variety of structure.
Answer:
255N
Explanation:
Given parameters:
Mass of barrel = 75kg
Acceleration = 3.4m/s²
Unknown:
Force exerted = ?
Solution:
Force is the product of mass and acceleration according to Newton's second law of motion.
Force = mass x acceleration
Now insert given parameters and solve,
Force = 75 x 3.4 = 255N