A ball is thrown with a speed of 10 m/s and at an angle of 0 = 36.9° with respect to the ground (see figure below). Using conservation of mechanical energy and the components of the initial velocity, what is the vertical component of the ball's velocity when its height h = 1 m during the flight?
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- Conservation of Energy, Projectile Motion, Acceleration x, y, z. A marble of weight=5lb is launch thanks to a spring on a ramp. The spring has a coefficient of rigidity of = 5lb/ft, an unstretched length of s0=7ft. The ramp is 1=9ft long and h=5ft tall. k www. е VA h Th max Range If the velocity at A is vA=9ft/s find: 1. The displacement of the spring needed to reach this velocity. 2. The range of the flight. 3. The maximum altitude of the flight. с In the box below, enter the maximum altitude of the flight in ft with 2 decimals (Question3).An object of mass 2 kg is launched at an angle of 30o above the ground with an initial speed of 40 m/s. Neglecting air resistance , calculate: the kinetic energy of the object when it is launched from the the ground. the maximum height attained by the object . the speed of the object when it is 12 m above the ground.Con 9: Newton is a unit equal to Kg.m/s. True (b) False tion A ball is thrown vertically up in the air that reaches a height of 10 m, using the principle of conservation of energy; its initial speed is .... 15 m/s (b) 14 m/s (c) 13 m/s (d) 12 m/s estion If a vector a =28+39 and b-+9 then the magnitude of (a + 5) is... (b) (c) 4. (d) nestion 12: All the given units are basic units except; Newton (b) Meter (c) kelvin (d) Candle Question If a vector â -f+9, then the direction of a is... a) | 35 (b) 40° (c) 45° (d) 50° Question 14: Find the vector F that satisfied the equation &+9 +2+-+9 (b) F-108-29-22 (a) F-52 -109+22 (c) F--2 (d) F-22 Question 15: The speed is the magnitude of .... (b) Acceleration (c) Mass (d) Time (a) Velocity The displacement is the first derivative of velocity. Question 16 (b) False (a) | True is the final velocity of the car after sec.? (b) 7 m/s Question (c) 10 m/s (d) 12 m/s 17 (a) | 5 m/s
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- A projectile is fired at an upward angle of 48.0° from the topof a 135m-high cliff with a speed of 165 m/s. What will be itsspeed when it strikes the ground below? (Use conservationof energy methods only, remembering that energy is a scalarquantity. Assume there is no air resistance.An archer using a simple bow exerts a force of 165 N to draw back the bow string 0.51 m. (Assume the given force is the force exerted at the very end of the pull.) (a) What is the total work (in J) done by the archer in preparing to launch her arrow? (Hint: Compute the total work as: total work = Fanal - Finitia ld.) Ffinal (b) If all the work is converted into the kinetic energy of the arrow upon its release, what is the arrow's speed (in m/s) as it leaves the bow? Assume the mass of the arrow is 0.021 kg and ignore any kinetic energy in the bow as it relaxes to its original shape. m/s (c) If the arrow is shot straight up, what is the maximum height (in m) achieved by the arrow? Ignore any effects due to air resistance in making your assessment. (Assume the arrow is initially 2 m from the ground.)W = F₁Ax = ² · AX, Wnet = ½ m(v₁)² — ²/ m(v;)², W = ƒ Fxdx, W = S F · dř F S
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