Question

Find Fn and a please.

Use the steps outlined above to find the magnitude of the acceleration a of a chair and the magnitude of the normal force F_N acting on the chair: Yusef pushes a chair of mass m = 45.0 kg across a carpeted floor with a force F vector_p (the subscript p here is lowercase and throughout the question) of magnitude F_p = 170 N directed at theta = 35.0 degrees below the horizontal (Figure 1). The magnitude of the kinetic frictional force between the carpet and the chair is F_k = 91.6 N You have created two equations that describe the motion of the chair sigma F_x = F_p cos theta - F_k = ma_x and sigma F_y = F_N - F_g - F_p sin theta = ma_y Solve these equations to find F_N and a. What is the magnitude of the acceleration a of the chair? What is the magnitude of the normal force F_N acting on the chair? Express your answers, separated by a comma, in meters per second squared and newtons to three significant figures.

Answer 1

M = 45 kg F_p = 170 N theta = 35 degree F_k = 91.6 N Horizontal component of applied force = 9cos 35 ties 170) = 139 N Net applied force:- = (139 N - 91.6 N) = 47.65 N acceleration = F/M = 47.65 N/45 kg a = 1.059 m/s^2 F_n = (45 times g) + (sin 35 times 170) F_n = 539 N a, F_n = (1.059, 539) m/s^2, N