Answer:
Explanation:
The condition for translation equilibrium is that is that the net force acting on the body must be zero.
The sum all the external forces acting on the body in horizontal as well as vertical direction must be zero.
∑Fₓ=0 and ∑Fy=0
now if the above two condition are satisfied the rigid body is said to be in translational equilibrium.
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The kinetic energy (KE) of a 0.155 kg arrow that is shot from ground level, upward at 31.4 m/s, when it is 30.0 m above the ground is 30.85 J
Assuming air friction is negligible,
a = - 9.8 m / s²
u = 31.4 m / s
s = 30 m
v² = u² + 2 a s
v² = 31.4² + ( 2 * - 9.8 * 30 )
v² = 985.96 - 588
v² = 397.96 m / s
KE = 1 / 2 m v²
KE = 1 / 2 * 0.155 * 397.96
KE = 0.0775 * 397.96
KE = 30.85 J
Therefore, the kinetic energy ( KE ) when it is 30.0 m above the ground is 30.85 J
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Answer:
Total load = 2999.126 kg
Explanation:
Let the spring constant of the shock absorber be k.
We know that the force applied on a spring is directly proportional to elongated length and the constant of proportionality is called spring constant.
Thus
Force, F = kx
where,
x = elongation = 9.1 cm 0.091 m
mass of the people, m = 127 kg
F = weight of the people = mg = 127 x 9.8 = 1244.6 N
substituting these values in the first equation,
1244.6 = k x 0.091
thus, k = 13,676.923 N/m
Now we know that the time period, T of an oscillating spring with a load of mass m is


thus,

T = 1.66s
substituting these values in the equation,
m = 2999.126 kg
Answer:
Mass of natural gas needed to heat the room is 350,000BTUs
Explanation:
The heating efficiency of a furnace is never 100% because not all energy is released and not all heat is available to heat the place. A lesser efficiency requires more consumption of fuel. Heating values are used for heating fuels in order to calculate the mass of fuel needed.
The heating value of natural gas is 1,000,000BTUs
Therefore the formular for calculating mass of natural gas needed= Heating value of natural gas×efficiency.
Mass=1,000,000×0.35
Mass=350,000BTUs