Answer:
From the formula of force:
since AB and k are constants:
x is a constant of proportionality
• when force is 4N, separation distance is 1
therefore, equation becomes
when r is doubled, r becomes 2. find F:
To find the force we use the formula,
F = ma , where m is mass and a acceleration
Using the formula,
F = ma
F = 0.42 x 14.8
F = 6.216 N / 6.22 N
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Answer:
1963.93 Moles
Explanation:
-We know the standard conversion ratio for the volume of a mole is
Given volume of rooms as
Convert the volume into liters:
#From our conversion ratio above, we get the volume of air molecules in moles as:
Hence, the volume of air molecules is 1963.93 Moles
Answer:
(a) 10 m/s
(b) 22.4 m/s
Explanation:
(a) Draw a free body diagram of the car when it is at the top of the loop. There are two forces: weight force mg pulling down, and normal force N pushing down.
Sum of forces in the centripetal direction (towards the center):
∑F = ma
mg + N = mv²/r
At minimum speed, the normal force is 0.
mg = mv²/r
g = v²/r
v = √(gr)
v = √(10 m/s² × 10.0 m)
v = 10 m/s
(b) Energy is conserved.
Initial kinetic energy + initial potential energy = final kinetic energy
½ mv₀² + mgh = ½ mv²
v₀² + 2gh = v²
(10 m/s)² + 2 (10 m/s²) (20.0 m) = v²
v = 22.4 m/s