A pilot with a mass of 50 kg comes out of a vertical dive in a circular arc such that at the bottom of the arc her upward acceleration is 3.5g. (a) How does the magnitude of the force exerted by the airplane seat on the pilot at the bottom of the arc compare to her weight? (What is the ratio of magnitude of the force exerted by the seat to the magnitude of the pilot's weight?) (b) Use Newton's laws of motion to explain why the pilot might be subject to a blackout. This means that an above normal volume of blood "pools" in her lower limbs. How would an inertial reference frame observer describe the cause of the blood pooling? (Do this on paper. Your instructor may ask you to turn in this work.) eBook

(a) What happens to the gravitational force between two objects if their separation is doubled? (b) Two objects with masses of m,= 5 kg and m2= 8 kg are connected by a light string that passes over a frictionless pulley, as in figure. Determine (i) the acceleration of each object, (ii) the tension in the string and (iii) the distance each object will move in 0.8 s of motion if both objects start from rest. m2

An airplane flies at 120.0 m/s and banks at a 30° angle. If its mass is 2.50 × 103 kg, (a) what is the magnitude of the lift force? (b) what is the radius of the turn?

A 40 kg wooden crate is being pulled across a wooden surface by a force (of magnitude F) that is angled 20° above the horizontal. The coefficient of static friction is 0.5 and the coefficient of kinetic friction is 0.3. (a)Calculāte the minimum force F (in N) that must be exerted to get the crate moving. (b)What is the acceleration (in m/s?) of the crate once it starts to move, if that force (F) is maintained?

A elevator accelerates upward in 3.2 s to a final speed of 7.2 m/s. Determine the apparent weight of a passenger with mass of 56 kg.

(a) Calculate the tension (in N) in a vertical strand of spiderweb if a spider of mass 8.00 x 10¯° kg hangs motionless on it. (Enter a number.) 0.000784 N (b) Calculate the tension (in N) in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in the figure. 5.0° 5.0° T. TR w T. TR The strand sags at an angle of 15.0° below the horizontal. (Enter a number.) 0.046688914 X N Compare this with the tension in the vertical strand (find their ratio). (Enter a number.) (tension in horizontal strand) / (tension in vertical strand) =

A warehouse worker pushes a box with a mass of 11.6 kg in a horizontal plane at a constant speed of 3.4 m / s. Calculate the horizontal force that the worker must apply in order to keep this motion, if the kinetic coefficient of friction between the box and the surface is µ = 0.21.

Two packing crates of masses m1 = 10.0 kg and m2 = 5.60 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 5.60-kg crate lies on a smooth incline of angle 41.0°. Find the following.   (a) the acceleration of the 5.60-kg crate  m/s2 (up the incline)   (b) the tension in the string  N

An 8 kg box is on an incline at 40 degrees from the horizontal. It is attached to a 10 kg box via a rope over a pulley that is on another incline of 50 degrees from the horizontal. Both inclines are frictionless. What is the acceleration of the system and what is the tension in the rope connecting the boxes. (Think of a triangle with one box on one side and the other box on the other side connected by a single rope over a pulley).

A box of mass 5 kg is at rest on a rough plane inclined at an angle of 40° to the horizontal. Calculate the magnitude of the friction force, in newtons, to two significant figures. (Take the magnitude of the acceleration due to gravity, g. to be 9.8 ms 2.) The magnitude of the friction force is N (to 2.s.f.).