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BIO The Champion Jumper of the Insect World. The froghopper, Philaenus spumarius, holds the world record for insect jumps. When leaping at an angle of 58.0° above the horizontal, some of the tiny critters have reached a maximum height of 58.7 cm above the level ground. (See Nature, Vol. 424, July 31, 2003, p. 509.) (a) What was the takeoff speed for such a leap? (b) What horizontal distance did the froghopper cover for this world-record leap?
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- A volcano erupted and spit a rock in the atmosphere at an angle of 35 degrees with the horizontal with an initial velocity of 25m/s. The rock hit the ground 20 meters below the crater. How far in meters that the rock has reached? O 81 60 O 18 25arrow_forwardDuring the siege of Constantinople that led to its conquest by the Ottomans in 1453, the Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2 km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in the absence of air resistance, this gives the largest range. a) What speed did the stone have to be launched at to achieve this range? b) How long was the ball in the air? c) How fast was the ball traveling at the apex of its flight?arrow_forwardIn the vertical jump, an Kobe Bryant starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat Kobe as a particle and let ymax be his maximum height above the floor. Note: this isn't the entire story since Kobe can twist and curl up in the air, but then we can no longer treat him as a particle. Hint: Find v0 to reach y_max in terms of g and y_max and recall the velocity at y_max is zero. Then find v1 to reach y_max/2 with the same kinematic equation. The time to reach y_max is obtained from v0=g (t), and the time to reach y_max/2 is given by v1-v0= -g(t1). Now, t1 is the time to reach y_max/2, and the quantity t-t1 is the time to go from y_max/2 to y_max. You want the ratio of (t-t1)/t1 Note from Asker: I am generally confused on how to manipulate the formulas, so if you could show every step that would be great, Thank You. Part A Part complete To explain why…arrow_forward
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- Physics In the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what was called a fastball special. Suppose Colossus throws Wolverine at an angle of 0 34.9° with respect to the ground (see figure below). Wolverine is d = 2.26 m above the ground when he is released, and he leaves Colossus's hands with a speed of v¡ = 19.3 m/s. = (a) Using conservation of energy and the components of the initial velocity, find the maximum height attained by Wolverine during the flight. m (b) Using conservation of energy, what is Wolverine's speed the instant before he hits the ground? m/sarrow_forward(b) y-coordinate Need Help? Read It Watch It Submit Answer 2. DETAILS SERCP11 3.2.P.009. MY NOTES ASK YOUR TEACHER The best leaper in the animal kingdom is the puma, which can jump to a height of 3.7 m when leaving the ground at an angle of 45°. With what speed must the animal leave the ground to reach that height? m/s Need Help? Read It Watch It PRACTICE AOTHER MY NOTES ASK YOUR TEACHER 3. DETAILS SERCP11 3.2.P.014. From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 8.90 m/s and angle of 22.0° below the horizontal. It strikes the gyound 6.00 s (a) If the base of the building is taken to be the origin of the coordinates, with upward-the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: Yo: Assume SI units. Do not substitute numerical values; use variables only.) later. 10:03arrow_forward6. A long-jumper leaves the ground at an angle of 20.0° above the horizontal and at a speed of 11.0 m/s. (a) How far does he jump in the horizontal direction? (Assume his motion is equivalent to that of a particle.) 7. An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 15.0 m if her initial speed is 3.00 m/s. What is the free-fall acceleration on the planet? 8. A tire 0.500 m in radius rotates at a constant rate of 200 rev/min. Find the speed and acceleration of a small stone lodged in the tread of the tire (on its outer edge). (Hint: In one revolution, the stone travels a distance equal to the circumference of its path, 2nr.) 9. A student attaches a ball to the end of a string 0.600 m in length and then swings the ball in a vertical circle. The speed of the ball is 4.30 m/s at its highest point and 6.50 m/s at its lowest point. Find the acceleration of the ball when the string is vertical and the ball is at (a) its highest point and (b) its…arrow_forward
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