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

as a general rule, scissors have blades less than 6 in (15 cm) long and usually have handles with finger holes of the same size. shears have blades scissors used to cut hair or fabric must be much sharper

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.