Deadeye Martin fires a 18-g arrow at a speed of 51 m/s at a…

Deadeye Martin fires a 18-g arrow at a speed of 51 m/s at a 150-g apple tossed into the air by his friend Jaquette. If the arrow arrow travels straight through the apple at the peak of the apple’s trajectory, and the apple’s speed is 1.8 m/s after the collision, what is the speed of the arrow immediately after hitting the apple?

Marie and Maria each send a spinning uniform disc towards th…

Marie and Maria each send a spinning uniform disc towards the center of an axle. Marie’s disk has a mass of 0.5 kg with a radius of 15 cm and spins about the axle at a rate of 100 rpm. Maria’s disk also has a mass of 0.5 kg, but a radius of 20 cm, and it spins in the same direction as Marie’s at a rate of 150 rpm. The two discs then collide and stick together. What is their final rotational speed in rad/s?

The hero Oudart claims that he can “punch with the energy of…

The hero Oudart claims that he can “punch with the energy of a speeding arrow”. Let us assume his claims are true and he can punch with the same kinetic energy as a 15-g arrow fired at a speed of 65 m/s. Witnesses say that the speed of his arm during a punch is 6.0 m/s. What is the mass of Oudart’s arm?

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?