A boat weighing 1.5 tons, starting off, for some time reaches a speed of v = 5 m / s (assume that the boat is moving in calm water). The traction force of the motor is constant and equal to F = 103 Assuming that the drag force Ffr to the boat’s movement is proportional to the speed (Ffr = k⋅v, where the friction coefficient is k = 100 kg / s), determine the time for which the boat reaches the specified speed.

Problem 2: An applied force of 20 N is used to accelerate an object to the right across a frictional surface. The object encounters 10 N of friction. Use the diagram to determine the normal force, the net force, the coefficient of friction (u) between the object and the surface, the mass, and the acceleration of the object. (Neglect air resistance.) Fnorm Friet =10 N Fapp = 20 N Fgrav=100 N m = a = Fnet=

A bicyclist is coasting straight down a hill at a constant speed. The mass of the rider and bicycle is 84.0 kg, and the hill is inclined at 18.0° with respect to the horizontal. Air resistance opposes the motion of the cyclist. Later, the bicyclist climbs the same hill at the same constant speed. How much force (directed parallel to the hill) must be applied to the bicycle in order for the bicyclist to climb the hill? Number i Units

A ball of mass 1.6 kg and a diameter of 41.1 cm is attached to a string of length 1.1 m. It moves in a circular path at constant speed, 4.5 m above the ground. The string makes a constant angle of 42° with respect to vertical. m (a) What is the speed of the ball? (b) What is the tension in the string?

A 60 kg skydiver falls, beginning at rest.  This isn't an ordinary skydive though, because it's taking place on an alien planet where g = 8 m/s2.  The drag force on the skydiver is given by FD = -0.14 v   (N).  Calculate the speed of the skydiver after they have fallen for 322 s, in m/s. (Please answer to the fourth decimal place - i.e 14.3225)

A monkey pushes a box of mass 25 kg in a straight line across a rough floor. The applied force F has magnitude 85 N and acts downward at an angle 0 = 10° with respect to the horizontal, as shown below. The box is initially at rest at the position x/ a). Find the coefficient of friction between the box and the floor. and it has speed v2 = 0.55 m/s at position x2 = 3.50 m. 0 m, b). What is the net work done? c). How much work (magnitude and sign) is done by the friction force? m Hint: this q involves constant acceleration, Newton's laws, work

A 126 kg crate is sitting at the top of a ramp, which is inclined at an angle of 19 degrees with respect to the horizontal. The crate is a height 0.71 m from the ground, measured vertically from the ground to the crate. Someone gives the crate a quick shove to get it moving, after which it slides down the ramp without any further assistance. The coefficient of kinetic friction between the crate and the ramp is ls = 0.23. How much time (in seconds) does it take for the crate to get to the base of the ramp?