An object with mass 3.3 kg is executing simple harmonic motion, attached to a spring with spring constant 260 N/m . When the object is 0.017 m from its equilibrium position, it is moving with a speed of 0.40 m/s . Part A Calculate the amplitude of the motion. Express your answer to two significant figures and include the appropriate units.

the amplitude of the motion is 0.048 m

Explanation:

Given that;

mass m = 3.3 kg

spring constant k = 260 N/m

When the object is x = 0.017 m from its equilibrium position,

it is moving with a speed of v = 0.40 m/s

amplitude of the motion = ?

we know that;

formula for Potential of the string PE = 1/2kx²1

Kinetic energy KE = 1/2mv² 2

Now expression for the maximum potential energy of the spring is

PE_max = 1/2 kx²_max 3

Now from conservation of Energy

PE_spring = PE + KE

from our equation 1, 2 and 3

1/2kx²_max = 1/2kx² + 1/2mv²

now we rearrange for x_max

x²_max = (1/2kx² + 1/2mv²) / 1/2k

x²_max = (kx² + mv²)  / k

x_max = √ [(kx² + mv²)  / k]

now we substitute our values into the equation

x_max = √ [(260(0.017)² + 3.3×(0.40)²)  / 260]

= √((0.07514 + 0.528) / 260)

= √(0.60314 / 260)  

= √ 0.002319

x_max = 0.048 m

Therefore the amplitude of the motion is 0.048 m

a.metals can become magnetic if they have many spinning electrons that create magnetic fields.d.only some metals are attracted by magnets; these metals are called ferromagnetic.

d.wrapping an insulated wire around a metal with ferromagnetic properties and applying an electric current.

report!

explanation:

physics means: "the branch of science concerned with the nature and properties of matter and energy. the subject matter of physics, distinguished from that of chemistry and biology, includes mechanics, heat, light and other radiation, sound, electricity, magnetism, and the structure of atoms."