A man pulls a 50 kg box at a constant speed across the floor by puling a rope with a 200 N force at an angle of 30 degrees. A) Sum the forces in the x-direction. What is the value of the frictional force opposing the motion? B) Sum the forces in the y direction. What is the value of the normal force?

Amachinist turns the power on to a grinding wheel, at rest, at time t = 0 s. the wheel accelerates uniformly for 10 s and reaches the operating angular velocity of 96 rad/s. the wheel is run at that angular velocity for 40 s and then power is shut off. the wheel slows down uniformly at 1.5 rad/s2 until the wheel stops. in this situation, the time interval of deceleration is closest to: