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It's been a great day of new, frictionless snow. Julie starts at the top of the 60∘ slope shown in the figure. At the bottom, a circular arc carries her through a 90∘ turn, and she then launches off a 3.0-m-high ramp. What horizontal distance will she travel before touching down?
It's been a great day of new, frictionless snow. Julie starts at the top of the 60∘ slope shown in the figure. At the bottom, a circular arc carries her through a 90∘ turn, and she then launches off a 3.0-m-high ramp. What horizontal distance will she travel before touching down?
Julie will travel a distance of almostbefore she touches the ground.Further Explanation:Since Julie starts to travel down the incline from a height of. Therefore, Julie has some potential energy initially and as she travels down the inclined, she attains some speed and the potential energy of Julie gets converted into the kinetic energy.Apply the conservation of energy at the initial point and the final point of the ramp.Here,is the initial height of the inclined,is the final height from where Julie takes off,is the initial velocity of Julie andis the final velocity of Julie.Initially, Julie starts from rest. So, the initial kinetic energy will be zero.Rearrange the above expression for the final velocity of Julie at the take off pointabove the ground.Substituteforandforandforin above expression.As soon as Julie takes off from this point above the ground, she moves under the action of the gravity and follows a projectile path.Now we calculate the time taken by Julie to reach the ground in the vertical direction using the second equation of motion.Here,is the displacement of Julie in vertical direction,is the initial velocity of Julie as she takes off from the ramp andis the time taken by her to reach the ground.Since the direction of displacement of Julie is in downward direction so, the displacement will be negative and the speed of Julie in the vertical direction will be.Substitutefor,forandforin above expression.The speed of Julie in the horizontal direction will be.So, the horizontal distance covered by Julie after taking off from the ramp will be.Thus, Julie will cover a distance of almostafter taking off from the ramp.Learn More:1. A ball falling under the acceleration due to gravitybrainly.com/question/109341702. The stress developed in a wirebrainly.com/question/129850683. Translational kinetic energy of a gas moleculebrainly.com/question/9078768Answer Details:Grade:High SchoolSubject:PhysicsChapter:Conservation of energyKeywords:Julie, ramp, 60 degree, 60, 25 m, takes off, 3 m, circular arc, carries through, kinetic energy, potential, horizontal distance, displacement, slope....