**Tarzan and the Vine Rescue: A Physics Challenge****Scenario:**Tarzan, with mass \(M_T\), swings on a vine to rescue Boy, who has mass \(m_B\) and is surrounded by snakes on the ground.**Problem Description:****(a)** For Tarzan to swing up to a tree branch at height \(h\) from the ground, we need to determine the minimum height \(H\) above the ground from which Tarzan must start his swing. Assume Tarzan starts from rest and grabs Boy at the lowest point of his swing. Provide your answer in terms of \(m_B\), \(M_T\), and \(h\).**(b)** Given:- Tarzan's mass \(M_T = 80 \, \text{kg}\)- Boy's mass \(m_B = 40 \, \text{kg}\)- Tree branch height \(h = 10 \, \text{m}\)- Vine length \(L = 30 \, \text{m}\)- Vine's breaking strength = 2200 NDetermine if the vine breaks immediately after Tarzan grabs Boy, when the vine is vertical. **Illustration Description:**The diagram shows Tarzan beginning his swing from a ledge, with a downward trajectory towards Boy, who stands below at height \(h\). Tarzan needs to swing across a dangerous area filled with snakes to safely rescue Boy. The trajectory is a curved path from the ledge towards the tree branch.**Analysis:**- Calculate the forces and energy transformations during the swing.- Apply conservation of energy to solve for the necessary heights.- Evaluate the tension in the vine to judge if it exceeds the breaking strength, considering both Tarzan's and Boy's weights during the swing.

Answer: From the Given figure and data, Tarzan starts from rest and grabs Boy at lowest point of…

Answered: Tarzan, whose mass is M, swings on a…

Similar questions

An airplane of mass 1.30 x 104 kg is moving at 66.0 m/s. The pilot then increases the engine's thrust to 7.90 × 104 N. The resistive force exerted by air on the airplane has a magnitude of 6.00 x 104 N. (a) Is the work done by the engine on the airplane equal to the change of the airplane's kinetic energy after it travels through some distance through the air? yes no (b) Is the mechanical energy conserved? Explain your answer. (c) Find the speed of the airplane after it has traveled 500 m. Assume that the airplane is in level flight throughout the mqtion. m/s
A 5.27-kg object passes through the origin at time t = 0 such that its x component of velocity is 5.50 m/s and its y component of velocity is -2.73 m/s. (a) What is the kinetic energy of the object at this time? (b) At a later time t = 2.00 s, the particle is located at x = 8.50 m and y = 5.00 m. What constant force acted on the object during this time interval? magnitude direction N o measured from the +x axis (c) What is the speed of the particle at t = 2.00 s? m/s
An object of mass m = 2.9 kg is free to move on a horizontal surface without any friction. It is initially at rest and starts moving under a net force of F = (3N)i + (4N)j. What is the object's speed in m/s after moving 1 meter?
A volleyball player starts a serve by throwing the ball vertically upward. The 240g volleyball comes to rest at its maximum height. The server then hits it and exerts an average horizontal force of magnitude 6.2 N on the ball. Determine the speed of the ball after the player hits it if the average force is exerted on the ball for 600 ms.
Particle A has mass m. Particle B has twice the mass of Particle A. The same constant force F acts on both particles for time At. Which particle has the larger kinetic energy? Ο ΕΑ> EΒ О ЕA < Ев EA = EB There is not enough information to tell.
A gymnast is swinging on a high bar. The distance between his waist and the bar is 1.28 m, as the drawing shows. At the top of the swing his speed is momentarily zero. Ignoring friction and treating the gymnast as if all of his mass is located at his waist, find his speed at the bottom of the swing.
A block of mass m is at the top of an inclined plane of length L and angle 0. At the bottom of the plane there is a relaxed spring with spring constant k. (See the figure.) The block is released from rest and slides without friction down the plane. At the bottom of the plane, the block strikes the spring and momentarily comes to rest by compressing the spring by some amount D. (a) Find D in terms of m, k, L, g, and 0. (b) Describe in words what the motion will look like over time.
The pulley system below consists of two masses connected by a string of negligible mass through a massless pulley. A spring with constant k is placed so that its equilibrium position is located a distance h below the bottom of mass m2. There is no friction either in the pulley, or between the surfaces of the masses and the platform. When the two masses m₁ and m2 are released from rest, mass m2 begins falling and pulls mass m₁ up the ramp. Find an expression for the maximum compression of the spring d caused by mass m2 when it hits the spring. Your answer should be in terms of the variables given (and g). m2 MW my 0
In the figure here, two children are playing a game in which they try to hit a small box on the floor with a marble fired from a spring- loaded gun that is mounted on a table. The target box is horizontal distance D = 2.18 m from the edge of the table. Bobby compresses the spring 1.18 cm, but the center of the marble falls 25.6 cm short of the center of the box. How far should Rhoda compress the spring to score a direct hit? Assume that neither the spring nor the ball encounters friction in the gun. 00000 Number i Unit
A ball is held at rest at some height above a horizontal surface. Once the ball is released it falls under gravity, hits the surface at time T1 , and starts bouncing vertically up and down. Suppose that with each bounce the ball loses a fixed fraction p (with 1>p>0) of its energy. This loss could be due to a number of reasons (inelasticity, drag, etc) that are left unspecified. How many times will the ball bounce before coming to rest? Provide a detailed explanation of your reasoning, not simply a one-line answer. How long will it take for the ball to come to rest (if at all), i.e., what is the stopping time Tstop? Give your answer for Tstop as a single formula that contains only two independent variables, namely p and the time T1 .