How High Does Tarzan Swing From Point A to B?

[samiha.shakil]

Tarzan swinging on a vine...PLEASE HELP

starting from rest at point A, Tarzan (whose mass = 100kg) swings on a 10 m long vine, which initially makes a 60deg angle with with the vertical.

a) how much lower than the starting point A is Tarzan, when he reaches point B, the lowest part of his swing?
i got 1.34

b)how much work has Earth's gravity done on tarzan between points A and B
i got 4387.80Joules

c) how fast is tarzan moving at point B? neglect friction
> i don't understand how to approach this one
d) what is the tension in the vine when tarzan passes throught point B?
> yeh don't know about this one either

 

[mgb_phys]

Please try...

 

[nlightner]

I would approach this problem by using principles of physics and kinematics to analyze Tarzan's swinging motion.

For part a), we can use the equation for conservation of energy to determine the difference in height between points A and B. This equation states that the initial potential energy (mgh) equals the final kinetic energy (1/2mv^2), where m is the mass, g is the acceleration due to gravity, h is the height, and v is the velocity. We know the mass of Tarzan (100kg), the height of the swing (10m), and the angle of the vine (60 degrees), so we can solve for the final velocity at point B. Then, we can use the equation for displacement (h = (1/2)gt^2) to determine the height difference between points A and B.

For part b), we can use the equation for work (W = Fd) to determine the work done by Earth's gravity on Tarzan. The force of gravity is equal to the mass of Tarzan (100kg) multiplied by the acceleration due to gravity (9.8 m/s^2), and the distance is the height difference between points A and B that we calculated in part a).

For part c), we can use the equation for velocity (v = u + at) to determine Tarzan's final velocity at point B. We know his initial velocity (0 m/s) and the acceleration due to gravity (9.8 m/s^2), and we can calculate the time it takes for him to reach point B using the equation for displacement (h = (1/2)gt^2) and the height difference we calculated in part a).

For part d), we can use the equation for tension (T = mg + ma) to determine the tension in the vine at point B. We know the mass of Tarzan (100kg), the acceleration due to gravity (9.8 m/s^2), and the acceleration of Tarzan (9.8 m/s^2) as he swings down. This will give us the total force acting on Tarzan, which is equal to the tension in the vine.

In conclusion, by using principles of physics and kinematics, we can determine the height difference between points A and B, the work done by Earth's gravity, Tarzan's velocity at point B, and the tension in the vine at point B. This information can