The middle c string on a piano is under a tension of 907 n. the period and wavelength of a wave on this string are 3.82 ms and 1.40 m, respectively. find the linear density of the string.

The linear density of the spring = 0.00675 kg/m

Explanation:

F₀ = 1/λ........................ Equation 1

Making D the subject of formula in equation 1,

D = T/(F₀λ)²................................... Equation 2

Where F₀ = Frequency of the string, T = Tension, D = linear Density, λ = Wave length.

Given: T = 907 N,  λ = 1.40 m

F₀ = 1/t, where t = period and t = 3.82 ms = 3.82 × 10⁻³ s

F₀ = 1/(3.82×10⁻³) = 10³/3.82 = 261.78 Hz.

Substituting these values into equation 2

D = 907/(1.4×261.78)²

D = 907/(366.492)²

D = 907/134316.39

D = 0.00675 kg/m

The linear density of the spring = 0.00675 kg/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.

1.195000

explanation:

total mass=0.0117+0.0137+0.0881+0.0111

total mass= 0.01172kg

total velocity = 0.283-0.743+0.871-0.799+0.155+0.637+0.301=0.102

momentum=mv=0.1172*0.102=1.195000//