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lawyer [7]
3 years ago
6

An object attached to a horizontal spring is oscillating back and forth along a frictionless surface. the maximum speed of the o

bject is 1.25 m/s, and its maximum acceleration is 6.89 m/s2. how much time elapses betwen an instant when the object's speed is at a maximum and the next instant when its acceleration is at a maximum?
Physics
1 answer:
Andreas93 [3]3 years ago
7 0
<span>First of all, the maximum speed occurs when the object passes through the
 equilibrium position

The kinetic energy when the object has this max speed is

K= 1/2 * mass * (1.25 m/s)^2

The potential energy in the spring when the speed is equal to zero

U= 1/2 * k * xmax^2

The maximun force of the spring is

mass*acceleration = k*xmax

m * 6.89 m/s2 = k * xmax
xmax = 6.89* m / k

0.5 * m * 1.56  = 0.5 * k * xmax^2

</span>m * 1.56  =  k * (<span>6.89* m / k )^2 </span>
<span>
1.56 m = 47.47 m^2 / k
m/k = 0.032862

period = 2 *pi*sqrt[m/k]
= 2 pi </span><span>sqrt [ </span><span>0.032862]
= 1.139  s

  A fourth of the period elapses between the instants of max acceleration and maximum speed

= 1/4* period
= 1/4 * </span><span><span>1.139  s </span> = 0.284s </span>






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The component of the external magnetic field along the central axis of a 78-turn circular coil of radius 34.0 cm decreases from
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Answer:

Induced current, I = 18.88 A

Explanation:

It is given that,

Number of turns, N = 78

Radius of the circular coil, r = 34 cm = 0.34 m

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Resistance of the coil, R = 1.5 ohms

We need to find the magnitude of the induced current in the coil. The induced emf is given by :

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2 years ago
A particle leaves the origin with a speed of 3 106 m/s at 38 degrees to the positive x axis. It moves in a uniform electric fiel
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Explanation:

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The electric field intensity along the positive y axis E_y, can be given by the formula:

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E_y = \frac{2 m_e u^2 sin \theta cos \theta}{qx} \\

E_y = \frac{2 * 9.1 * 10^{-31} * (3*10^6)^2 *(sin38)( cos38)}{1.6*10^{-19} * 0.015} \\

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