parkerfreeze
29.07.2019 •
Physics
Dale and alex push on opposite sides of a couch. dale pushes to the left with
a force of 100 n, while alex pushes to the right with a force of 175 n. if the
couch has a mass of 55 kg, what is the acceleration of the couch?
o a. 5 m/s2 right
o b. 5 m/s2 left
o c. 1.4 m/s? right
o d. 1.4 m/s2 left
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Ответ:
C. 1.4 m/s² right
Explanation:
Apply Newton's second law. Take right to be positive and left to be negative:
∑F = ma
175 N − 100 N = (55 kg) a
a = 1.4 m/s²
The couch accelerates to the right at 1.4 m/s².
Ответ:
96.10 A
Explanation:
The capacitor is connected to a voltage source defined by the expression,
V(t) = √2 × Vrms×sin2πft
Where V(t)=instantaneous voltage, Vrms= root mean square voltage value, f= frequency, t= time π=pi.
Vrms= 120 V, f= 60.0Hz, t= 1/171s, π= 3.143.
∴ V(t) = √2 × 120 × sin(2×3.143×60×t)
∴V(t) = 169.71 × sin(377.16t)(1)
using capacitor's equation,
I(t)=C(dv/dt)(2)
Note: the differentiation of sin∅ = cos∅
∴ dv/dt=169.71×377.16×cos(377.16t)
dv/dt = 64109.65× cos(377.16t)
At time t=1/171s.
∴dv/dt=64109.65 × cos(377.16×1/171)
dv/dt = 64109.65 ×cos(2.21)
dv/dt = 64109.65 × 0.999
dv/dt = 64045.54.
I(t) = C(dv/dt)
Where C= I.5 mF = 0.0015 F
∴ I(t) = 0.0015 × 64045.54
I(t) = 96.07
I(t) ≈ 96.10 A