A projectile is launched at a very high wall 15meters from the launching point. The launch angle is 40° and the initial speed is 30m/sec. 30 m/sec 40° 15 m a)How high above the ground will the projectile strike the wall? b)Use energy considerations to determine the speed of the projectile when it hits the wall. c)What is the y-component of the velocity when the projectile hits the wall?
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- A projectile is launched at a very high wall 15 meters from the launching point. The launch angle is 40⁰ and the initial speed is 30 m/sec. a) How high above the ground will the projectile strike the wall? b) Use energy considerations to determine the speed of the projectile when it hits the wall. c) What is the y-component of the velocity when the projectile hits the wall?A small box with a mass of 0.05 kg is placed against a compressed spring that has K = 150 N/m. The box is on a frictionless surface inclined at 40 degrees. When the spring is released, the box travels a distance of 1.8m up the incline. a) What distance was the spring originally compressed? b) What was the kinetic energy of the box when it was 0.80m from its initial position? c) What was the velocity of the box at 0.80m from its initial position?A baseball is thrown from the roof of h = 21.8-m-tall building with an initial velocity of magnitude 14.0 m/s and directed at an angle of 53.1 above the horizontal. a) What is the speed of the ball just before it strikes the ground? Use energy methods and ignore air resistance. b) What is the answer for part (A) if the initial velocity is at an angle of 53.1 below the horizontal? c) If the effects of air resistance are included, will part (A) or (B) give the higher speed?
- Same set-up for the conservation of energy was performed. The 5-g marble covered a horizontal distance of 40 cm from the edge of the ramp (horizontal) from an elevation of 15 cm above the ground. At what height (in cm) relative to edge of the ramp was the marble released? Use g=9.8 m/s2. Round off your answer to two decimal places.X Problem 1. An NFL punter punts a 0.02 kg football 100 meters into the air. A. What is the initial potential energy of the ball when it's at its peak? 0.02 x 9.8 x 100 = 19.6 j What is its final kinetic energy before it hits the ground? 1 o add speaker notes B. C. What is the velocity of the ball before it hits the ground? در نگاه U EVAA child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop). c)What is the child's final speed, vf in m/s?
- If an object of mass 2.00 kg is dropped from rest into free fall from some height where it has +5.00 Joules of gravitational potential energy, then what kinetic energy will it have when its height is zero? a. 5.00 J b. 4.00 J c. 10.0 J d. 2.00 J e. zero JI need the answer as soon as possibleYou push a box up a ramp (friction between the box and the ramp is not negligible). Call the initial state when you begin to push the box. Call the final state after you have pushed the box up the ramp a distance of 0.5 m and it is moving with a speed of 2 m/s For which of the following systems does the energy remain constant?A. System: box + ramp + Earth + youB. System: boxC. System: box + ramp + EarthD. System: youE. System: box + rampF. None of the above. Two cars are driving down the road. They notice that they are going to crash, so both drivers slam on the brakes. The cars skid, but still collide. The cars stick together and eventually slide to a stop. Call the initial state just before the drivers apply the brakes and the final state just after the collision had occurred. Treat this situation as realistically as possible. For which of the following systems does the energy remain constant?A. System: both carsB. System: both cars + the groundC. System: the second carD. System:…
- You are launching a 2-kg potato out of a potato cannon. The cannon is 1.5 m long and is aimed 30 degrees above the horizontal. It exerts a 50 N force on the potato. What is the kinetic energy of the potato as it leaves the muzzle of the potato cannon?You throw a basketball straight up into the air with an initial velocity of 5.6 m/s. The ball leaves your hand 1.2 meters above the ground. It moves upwards, stops, and then goes all the way down until it hits the ground (below the height you threw from).A. Use conservation of energy (and not the kinematics equations) to calculate the velocity of the ball the instant before it hits the ground.2. Your task is to defend the Disney Castle from attackers. You have a catapult with which you can lob a rock with a launch speed of 14.2 m/s. from the courtyard over the walls onto the attackers at an elevation of 7.20 m. below that of the courtyard. What is the speed with which the rock will hit the ground at the attacker's camp? Note: Use the Law of Conservation of Mechanical Energy.