### Physics Problem: Swinging on a Vine**Problem Statement:**Jane, looking for Tarzan, is running at a speed of 6.40 m/s and grabs a vine hanging vertically from a tall tree in the jungle. How high can she swing upward? \((g = 9.8 \, m/s^2)\)[Input Box]__________ meters**Detailed Explanation:**1. **Given Data:** - Initial speed (v_i): 6.40 m/s - Acceleration due to gravity (g): 9.8 m/s²2. **Concept Applied:** - The problem involves the conversion of kinetic energy to potential energy.3. **Formulas:** - Kinetic Energy (K.E): \( \frac{1}{2}mv_i^2 \) - Potential Energy (P.E): \( mgh \) - At the highest point, all kinetic energy will convert into potential energy: \[ \frac{1}{2}mv_i^2 = mgh \]4. **Solving for Height (h):** \[ h = \frac{v_i^2}{2g} \] Substituting the given values: \[ h = \frac{(6.40 \, m/s)^2}{2 \times 9.8 \, m/s^2} \] \[ h = \frac{40.96}{19.6} \] \[ h \approx 2.09 \, meters \]So, the height \( h \) that Jane can swing upward is approximately 2.09 meters.**Reminder:** This calculation assumes no energy loss due to air resistance or friction.

initial speed = V0 = 6.4 m/sheight = h = ?

Answered: Jane, looking for Tarzan, is running at…

Jane, looking for Tarzan, is running at a speed (6.40 m/s) and grabs a ne hanging vertically from a tall tree in the jungle. How high can she ving upward?(g = 9.8 m/s²)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

previous problem: A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. The value of d is 3.85 m, and x and y are measured in meters as usual. Suppose the block starts from rest on the track, at x = -1.99 m. What will the block s speed be when it reaches x = 0? New problem Same type of track as in the previous problem, this time with d = 4.73 m. The block starts at x = 0, and is given a push to the left with an initial speed of 7.57 m/s, so it starts sliding up the track to the left. At what value of x will the block reverse direction and start sliding back down? -3.72 m 3.72 m 2.92 m -2.92 m
Suppose I need to toss an object of mass 5.2 up onto a shelf 5.94 meters above where my hands can reach. What is the minimum speed of toss necessary to do this? Your answer should be in meters per second, but don't write teh unit, just the number. You can approximate the acceleration due to gravity at the earth's surface as 10 meters per square second.
A block is launched up a 3.75 m high frictionless inclined plane (0 = 35.0°) with an %3D initial speed of vo = 12.5 m/s as shown in the figure below. (a) What is the block's %3D speed as it leaves the ramp? (b) How far from the base of the ramp does the block land? (Air resistance is negligible) Vo=12.5 m/s 3.75 m 0= 35.0° X= ?
6. Two blocks are connected by a light string passing over a light, frictionless pulley as shown in the figure. Block m1, initially at rest, is released from height h above the table. Block m,, which is the heavier block, begins to fall, while block m2 rises. a) Calculate the speed of m2 just as m¡ hits the table. b) Suppose block m, continues to rise without obstruction even after block m, hits the table. Calculate the maximum height above the table to which m2 rises. h
A ball of mass m is released from the top of a frictionless inclined plane AB with an initial velocity v₁ = 2m/s from a height h₁ = 5 m above the ground. It slides along the inclined plane and reaches the bottom at point B of height h = 2 m above the ground with a velocity v that will be equal to: Take g = 10 m/s². v₁=2m/s A₁ Vf=? hi h=0 O 6.63 m/s 8 m/s O 4 m/s O 12.8 m/s O 17.32 m/s B hf
A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. The value of d is 3.88 m, and x and y are measured in meters as usual. Suppose the block starts from rest on the track, at x = -2.99 m. What will the block s speed be when it reaches x = 0? 6.72 m/s 4.75 m/s 3.33 m/s 9.41 m/s
A bowling ball is dropped from the top of a building that has a height of h = 112 m. Part (a) Assuming air resistance is negligible, what is the ball's speed, vf in m/s, when it strikes the ground?Part (b) If drag produces an opposing force of 10 N while the ball's falling, what is the ball's speed, vf in m/s, when it strikes the ground? Assume the ball has a mass of 5 kg.Part (c) A different ball was dropped and the final speed was measured to be vf = 8.5 m/s while the drag force was measured to be 50 Newtons. What is the mass of this ball in kg?
You throw a rock of mass 0.750 kg straight up in the air with an initial speed of 20.0 m/s. Throughout the flight of the rock assume there’s a constant air resistance force of magnitude 1.25 N acting on it. The trajectory of the rock is vertically up and down, with no horizontal motion. (a) What is the maximum height reached by the rock? (b) What is the speed of the rock when it returns to the point of release?
A drone at too great a height drops a box. The box drops straight down the ground and hits at 100 m/s smashing the contents. Neglecting air friction, approximately, how high, in m, was the drone? O 360 O 720 O 250 O 510 O 25
While at a water park, Hunter tries the water slide. The starting point is 13.0 m above the ground. He pushes off with an initial speed of 2.5 m/s. If the slide is frictionless, how fast will Hunter be traveling at the bottom?
44. A 15 kg child slides, from rest, down a play- ground slide that is 4.0 m long, as shown in the figure. The slide makes a 40° angle with the horizontal. The child's speed at the bot- tom is 3.2 m/s. What was the force of friction that the slide was exerting on the child? 傳 4.0 m 40°
A skier leaves a ski jump at 14.4 m/s at some angle . At what speed is he travelling at his maximum height of 4.40 m above the level of the end of the ski jump? neglect air friction I need to find speed m/s?