please answer all qustion 1 and 2 1- A 25-kg object on a frictionless horizontal
ID: 1405931 • Letter: P
Question
please answer all qustion 1 and 2
1- A 25-kg object on a frictionless horizontal surface oscillating on a spring that has a force constant equal to 2.0 kN/m has a total mechanical energy of 0.50 J.
(a) What is the amplitude of the motion?
...... cm
(b) What is the maximum speed?
...... cm/s
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2- During an earthquake, a floor oscillates horizontally in approximately simple harmonic motion. Assume it oscillates at a single frequency with a period of 0.87 s.
(a) After the earthquake, you are in charge of examining the video of the floor motion and discover that a box on the floor started to slip when the amplitude reached 15cm. From your data, determine the coefficient of static friction between the box and the floor.
(b) If the coefficient of friction between the box and floor were 0.32, what would be the maximum amplitude of vibration before the box would slip?
..... cm
Explanation / Answer
1)
a)
the formula of total energy is
E = 0.5 * k * A^2
0.5 = 0.5 * 2 * A^2
A = 0.7071 m = 70.71 cm
the amplitude is 70.71 cm
b)
the formula of energy
E = 0.5 * m * v^2
0.5 = 0.5 * 25 * v^2
v = sqrt( 1 / 25)
v = 0.2 m/s
the maximum speed is 0.2 m/s = 20 cm/s
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