Two constant forces are applied to a 100.0 kg boat, as shown in the diagram below. Assume that no other forces act in the x-y pane. Find the magnitude and direction of the boat's acceleration.

Block B in the figure weighs 609 N. The coefficient of static friction between block and table is 0.21; angle e is 27°; assume that the cord between B and the knot is horizontal. Find the maximum weight of block A for which the system will be stationary. Knot A Number i Units >

A uniform density sheet of metal is cut into the shape of an isosceles triangle, which is oriented with the base at the bottom and a corner at the top. It has a base B = 43 cm, height H = 25 cm, and area mass density σ. - The horizontal center of mass of the sheet will be located:  On the center line. Not enough information to determine. To the left of the center line. To the right of the center line. -  The vertical center of mass of the sheet will be located:  Below the mid height. Not enough information to determine. Above the mid height. At the mid height. - Write a symbolic equation for the total mass of the triangle.  -Consider a horizontal slice of the triangle that is a distance y from the top of the triangle and has a thickness dy. Write an equation for the area of this slice in terms of the distance y, and the base B and height H of the triangle.  - Set up an integral to calculate the vertical center of…

A block of mass ?=2.80 kg is being pulled by a force ?⃗of magnitude 12.0 N on a horizontal, smooth (frictionless) surface. The force makes an angle ?=30.0° abovethe horizontal, as shown in the figure. 1.  Find the magnitude of the normal force exerted by the surface on block. 2. Find the acceleration of the box.  3. If the box starts from rest, what would be its speed after it travels 2.00 m?