The velocity, , of an object that falls freely due to the Earth gravity can be modeled with the equation: m dv/dt = -mg + kv^2
where m is the mass of the object, g = 9.81 m/s^2, and k is a constant. Solve the equation for v for the case that m = 5 kg, k = 0.05 kg/m, 0

The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

According to Newton's second law of motion,

mdv/dt= -mg+kv²

Calculation:

mdv/dt=-mg+kv²

5dv/dt=-10g+0.05v²

dv/dt=-2×9.81×0.01v²

dev/dt=0.01v²-19.62

-1/19.62 dv/dt =1-v²/1962

-1/19.62 ∫dv/1-v²/1962=∫dt

√1962 Tanh∧-1 (v/√1962)=-19.62t

Tanh∧-1(v/√1962)=-√1962/100 t

v=√1962 Tan h∧-1 (-√1962t/100)

To know more about Newton's second law of motion, click on https://brainly.com/question/25545050

#SPJ4

The velocity, , of an object that falls freely due to the Earth gravity can be modeled with the equation: m dv/dt = -mg + kv^2 where m is the mass of the object, g = 9.81 m/s^2, and k is a constant. Solve the equation for v for the case that m = 5 kg, k = 0.05 kg/m, 0

Respuesta :

What is Newton second law of motion?

Calculation:

Otras preguntas

The velocity, , of an object that falls freely due to the Earth gravity can be modeled with the equation: m dv/dt = -mg + kv^2
where m is the mass of the object, g = 9.81 m/s^2, and k is a constant. Solve the equation for v for the case that m = 5 kg, k = 0.05 kg/m, 0