While a roofer is working on a roof that slants at 38.0 ∘∘ above the horizontal, he accidentally nudges his 87.0 NN toolbox, causing it to start sliding downward, starting from rest. If it starts 4.65 mm from the lower edge of the roof, how fast will the toolbox be moving just as it reaches the edge of the roof if the kinetic friction force on it is 18.0 NN?

You are designing a ski jump ramp for the next winter olympics. You need to calculate the vertical height h from the starting gate to the bottom of the ramp. The skiers push off hard with their skipoles at the start, just above the starting gate so they typically have a speed of 2.0 m/s as they reach the gate. For safety, the skiers should have a speed of no more than 30.0 m/s when they reach the bottom ofthe ramp. You determine that for an 85.0 kg skier with good form, friction and air resistance will do a total work of magnitude 4000 J on him during his run down the slope. What is the maximum height h for which the maximum safe speed will not be exceeded?

Two identical arrows, one with twice the speed of the other,are fired into a bale of hay. Assuming the hay exerts aconstant “frictional” force on the arrows, the faster arrowwill penetrate how much farther than the slower arrow?Explain.

A student releases a 3.9kg cart from the top of ramp and starts a stopwatch. The length from the front of the cart to the end of the ramp and the distance from the end of the ramp to the stopper are shown. Neglect backwards friction and drag and assume the cart does not lose speed transitioning from the ramp to the floor. What is the cart's acceleration on the ramp? unit | (magnitude) What is the cart's acceleration on the floor? 130cm unit (magnitude) How long does the cart take to reach the end of the ramp? 5° 200cm unit (timed from the release) How fast is the cart traveling as it hits the stopper? unit How long does the cart take to reach the stopper? unit (timed from the release) cannot be detern check answers challenge ne Calculator ound = 343m/s cant figures Rain to stop e here to search ACC t;320

A drone at too great a height drops a box. The box drops straight down the ground and hits at 100 m/s smashing the contents. Neglecting air friction, approximately, how high, in m, was the drone? O 360 O 720 O 250 O 510 O 25

R Q F4 % 5 T I F5 28/50 32. A body of weight P, placed close to the Earth's surface, is let fall from rest. Let g be the gravitational acceleration and let the air resistance be negligible. Then the kinetic energy possessed by the body after t seconds is: & 6 A. (1/2)Pgt B. (1/2) pgt2 C. 2Pgt D. 2Pgt2 E. (1/2)Pg²t² Y 100% + MacBook Air c F6 F7 U ( 8 DII F8 ) 9 F9 C = 7 F10 D ? 1 a F11 2