You need to estimate the floor area of your unusual oval-shaped living room from memory. You remember that it is longer than it is wider, and is about 6 m long. So you take it to be rectangular with a width of 0.5 m and multiply width by length to get an estimate of 3 m2 . Why was your estimate not done correctly? The estimate ignored the space occupied by the furniture. The floor was not really rectangular. The assumed width was unrealistic. The area of a rectangle is not simply its length multiplied by its width.

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 710 n/m. it is initially at rest on an inclined plane that is at an angle of θ = 23° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. a) what is the block's initial mechanical energy? b) if the spring pushes the block up the incline, what distance, l, in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.

Ameter stick is pivoted at the 0.50-m line. a 3.0-kg object is hung from the 0.15-m line. where should a 5.0-kg object be hung to achieve equilibrium (the meter stick oriented horizontal and motionless)?

If the new moon happens on january 15th, what shape will it be on february 6th?