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- Suppose that the resistive force of the air on a skydiver can be approximated by f=bv2 . If the terminal velocity of a 50.0-kg skydiver is 60.0 m/s, what is the value of b?In the following figure, the horizontal surface on which this block slides is frictionless. If the two forces acting on it each have magnitude F=30.0Nand M=10.0kg, what is the magnitude of the resulting acceleration of the block?Check Your Understanding suppose the resistive force the air on a skydiver can be approximated f=bv2 . If the terminal velocity of a 100-kg skydiver is 60 m/s, what is the value of b ?
- What properties do forces have that allow us to classify them as vectors?As shown below, if F=60.0Nand M=4.00kg, what is the magnitude of the acceleration of the suspended object? All surfaces are frictionless.A helicopter with mass 2.35104kg has a position given by r(t)=(0.020t3)i +(2.2t)j -(0.060t2)k . Find the net force on the helicopter at t=3.0s .
- A small diamond of mass 10.0 g drops from a swimmers earring and falls through the water, reaching a terminal velocity of 2.0 m/s. (a) Assuming the frictional force on the diamond obeys f=bv2 , what is b ? (b) How far does the diamond fall before it reaches 90 percent of its terminal speed?Suppose that the particle of the previous problem also experiences forces and What is its acceleration in this case?What force must be applied to a 100.0-kg crate on a frictionless plane inclined at 30 to cause an acceleration of 2.0m/s2 up the plane?
- Two forces are acting on a 5.0-kg object that moves with acceleration 2.0m/s2 in the positive y -direction. If one of the forces acts in the positive x -direction and has magnitude of 12 N, what is the magnitude of the other?Two teenagers are pulling on ropes attached to a tree. The angle between the ropes is 30 . David pulls with a force of 400.0 N and Stephanie pulls with a force of 300.0 N. (a) Find the component form of the net force. (b) Find the magnitude of the resultant (net) force on the tree and the angle it makes with David’s rope.As shown below, if M = 5.50 kg, what is the tension in string 1?