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mina [271]
4 years ago
13

Two particles oscillate in simple harmonic motion along a common straight-line segment of length

Physics
1 answer:
Finger [1]4 years ago
8 0
Assuming the two functions are sine functions.
From the problem:
T = 1.5
So
b = 2π/T
b = 2π/1.5
b = 4π/3

The first sine function has an equation
y1 = sin 4π/3x
and since they have a difference in phase of π/6, the other sine function has an equation
y2 = sin 4π/3x + π/6

Their difference is simply π/6.
If we substitute 0.5 s to each equation,
y1 = 2π/3
y2 = 5π/6

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A bullet with a mass ????b=13.5 g is fired into a block of wood at velocity ????b=249. The block is attached to a spring that ha
larisa86 [58]

Answer:

M = 0.436 kg

Explanation:

As per energy conservation we can say that energy stored in the spring at the position of maximum compression must be equal to the kinetic energy of bullet and block system

so here we have

\frac{1}{2}(m + M)v^2 = \frac{1}{2} kx^2

here we know that

k = 205 N/m

x = 35 cm

\frac{1}{2}(m + M)v^2 = \frac{1}{2}(205)(0.35)^2

now by momentum conservation we know that

mv_o = (m + M)v

v = \frac{m}{m + M} v_o

now plug in all values in it

v = \frac{0.0135}{0.0135 + M}(249)

now from above equation

\frac{1}{2}(0.0135 + M)( \frac{0.0135}{0.0135 + M}(249))^2 = 12.56

\frac{5.65}{0.0135 + M} = 12.56

by solving above equation we have

M = 0.436 kg

3 0
4 years ago
When a gas is compressed, its volume _____
iren [92.7K]

Answer:

decreases

Explanation:

5 0
4 years ago
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Suppose you wish to whirl a pail full of water in a vertical circle at a constant speed without spilling any of its contents (ev
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Answer:

V = 2.87 m/s

Explanation:

The minimum speed required would be that at which the acceleration due to gravity is negated by the centrifugal force on the water.

Thus, we simply need to set the centripetal acceleration equal to gravity and solve for the speed V using the following equation:

Centripetal acceleration = V^2 / r

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For our case, r will be 0.65 + 0.19 = 0.84 m

and solving the above equation we get:

9.81 = V^2 / 0.84

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