The combined mass of Danny+skateboard is 72.5 kg
Explanation:
We can solve the problem by using Newton's second law of motion:
where:
F is the net force applied on Danny and the skateboard
m is the mass of Danny+skateboard
a is the acceleration
Here we have the following data:
F = 29 N is the force applied
is the acceleration of Danny and the skateboard
Solving for m, we find their combined mass:
Learn more about Newton's second law:
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Answer, gravity helps pull you back down to the earth. At the maximum kinetic energy, the forces acting on the swing is the force of gravity downwards and the normal force from the swing seat on you.
Answer:
a)V= 2.09 m/s
b)TE= 0.56 J
c)K=50.47 N/m
d)a=29.23 m/s²
Explanation:
Given that
m = 0.26 kg , T= 0.45 s ,A= 0.15 m
We know that time period given as
ω =Angular frequency
ω = 13.96 rad/s
The velocity at equilibrium
V= ω A
V= 13.96 x 0.15
V= 2.09 m/s
The total energy TE
TE= 0.56 J
The spring constant K
Maximum stored energy in the spring
From energy balance
U= TE
K A² = m V²
K=50.47 N/m
The maximum acceleration a
a= ω² A
a = 13.96² x 0.15 m/s²
a=29.23 m/s²