A30.0-g object connected to a spring with a force constant of 30.0 n/m oscillates with an amplitude of 7.00 cm on a frictionless, horizontal surface.

(a) find the total energy of the system. mj.
(b) find the speed of the object when its position is 1.05 cm. (let 0 cm be the position of equilibrium.) m/s.
(c) find the kinetic energy when its position is 3.50 cm. mj.
(d) find the potential energy when its position is 3.50 cm.

(a)  E = 73.5mJ

(b) v = 2.188 m/s

(c) KE = 55.1 mJ

(d) PE = 18.37mJ

Explanation:

m = mass of the object = 0.03 kg

k = spring constant = 30 N/m

A = amplitude = 0.07 m

For part (a)

The total energy of the system can be found by:

E = k × A² / 2  

E = (30 N/m) × (0.07 m)² / 2

E = 0.0735 J

E = 73.5mJ

For part (b)

The elastic potential energy in the spring at position d = 0.0105 m is:

PE = k × d² / 2

PE = (30 N/m) × (0.0105 m)² / 2

PE = 0.00165375 J

The kinetic energy at that point is:

KE = E - PE

KE = (0.0735 - 0.00165375)

KE = 0.07184 J

So its speed is:

KE = m × v² / 2

v = √( 2 × KE / m )

v = √( 2 × (0.07184 J) / (0.03 kg) )

v = 2.188 m/s

For part (d)

The elastic potential energy in the spring at position d = 0.035 m is:  

PE = k × d² / 2

PE = (30 N/m) × (0.035 m)² / 2

PE = 0.018375 J

PE = 18.37mJ

For part(c)

The kinetic energy at that point is:

KE = E - PE

KE = (0.0735J) - (0.018375 J)

KE = 0.0551 J

KE = 55.1 mJ

seeing the graph would

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

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