Firefighters connect a fire hose to a hydrant and lift the o…

Firefighters connect a fire hose to a hydrant and lift the other end of the hose into the air to attack a fire in an upper floor. In the ground just below the hydrant the gauge water pressure is 148 kPa, the pipe has a diameter of 6.0 cm, and the volume flow rate through the pipe is 0.04 m3/s. If the gauge water pressure is zero at the end of the hose, which has a diameter of 5.0 cm, to what height did the firefighters lift the hose?

A 48-year-old man comes into your health club and wants to s…

A 48-year-old man comes into your health club and wants to start an exercise program.  He is physically inactive.  He has brought his blood chemistry panel with him from his last check-up.  His low density lipoproteins are 138 mg/dl, high density lipoproteins 55 mg/dl, triglycerides 350 mg/dl, and fasting blood glucose 106 mg/dl.  Both his parents are living his mother had no indication of heart disease but his father had a heart attack at the age of 58. He has also told you that he quit smoking 5 months ago. After five minutes of rest, you get a blood pressure of 118/92 mmHg with a resting heart rate of 108 b/min.  He is not on any medications.  He is 6-feet and has a bodyweight of 218 pounds with a waist circumference of 110 cm. How many positive risk factors for cardiovascular disease does he have? 

In a riveting and infuriating game of croquet, Pierre and Re…

In a riveting and infuriating game of croquet, Pierre and Regnault launch their identical croquet balls, which have masses of 0.45 kg each, at each other instead of the wickets. Pierre fires his north at a speed of 5 m/s, and Regnault sends his south at a speed of 6 m/s. The balls collide midair, sending Regnault’s ball directly east at a speed of 4 m/s. In what direction does Pierre’s ball go after the collision? 

The restoring force a bow provides to an arrow as it is pull…

The restoring force a bow provides to an arrow as it is pulled back can be modeled as a spring force. The archer Gila “nocks” an 18-g arrow by pulling it back a distance of 45 cm. Gila fires the arrow horizontally from a small cliff with a height of 15 m, and when the arrow reaches the bottom, it has a speed of 63 m/s. What is the effective spring constant of the bow as Gila nocks the arrow?