A marble is projected from a card stock catapult at a point 18 cm above the floor. If the marble is given an initial velocity of 8 m/s at an angle of 50° find (a) the time to the maximum height of the marble.
(b) the maximum height of the marble.
(c) the total time the marble is in the air graphically.
(d) the range of the marble.
(e) the final speed when the marble strikes the ground.

Agas initially at p1 = 1 bar and occupying a volume of 0.5 liter is compressed within a piston–cylinder assembly to a final pressure p2 = 4 bar. (a) if the relationship between pressure and volume during the compression is pv = constant, determine the volume, in liters, at a pressure of 3 bar. (b) repeat for a linear pressure–volume relationship between the same end states. reference

Using the free-body diagram, calculate the net force acting on the sled. is the sled in a state of dynamic equilibrium?

(8%) problem 12. a bowling ball of mass mb 3 kg 's rolled down the lane with a velocity ofy-2/ m s lt strikes a single remaining pin mp 0.93 kg head on. after the collision the bowling ball has a velocity (in the same direction) of v2 1.1 m/s. = ▲ 33% part (a) write an expression for the velocity of pin in the horizontal direction after the impact, im ,, 33% part (b) what is the pins speed in ms? 33% part (c) assuming the coefficient of friction s μ,-0.1. how far in meters could the pin slide before stopping if it doesn't topple?