What’s the maximum height of the second hill? Use your answer from part E and the formula PE=m•g•h to determine the answer. Assu
me that g = 9.8m/sec2.
2 answers:
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Explanation:
It is given that,
Mass of an object,
(a) Time period of oscillation, T = 2.4 s
The formula for the time period of spring is given by :
Where
k is the force constant
(b) Displacement in the spring, x = 2.2 m
Energy stored in the spring is given by :
Hence, this is the required solution.
Answer:
b) tan a = 3
Explanation:
Draw a free body diagram (see attached).
There are three forces acting on the insect. Weight downwards, normal force towards the center of the hemisphere, and friction tangent to the surface.
Sum of the forces in the radial direction:
∑F = ma
N − mg cos α = 0
N = mg cos α
Sum of the forces in the tangential direction:
∑F = ma
μN − mg sin α = 0
Substituting:
μ(mg cos α) − mg sin α = 0
μ cos α − sin α = 0
μ cos α = sin α
μ = tan α
The maximum possible value of the angle is such that its tangent is equal to the coefficient of friction.
