1. a pendulum is created by attaching one end of a 78 cm long string to the ceiling and tying a 150 g steel ball to the other end. the ball is pulled back until the string is 600 from the vertical, then released.
what is the speed of the ball at its lowest point?

ω=3.39rad/s

Explanation:

. A pendulum is created by attaching one end of a 78 cm long string to the ceiling and tying a 150 g steel ball to the other end. The ball is pulled back until the string is 600 from the vertical, then released.

What is the speed of the ball at its lowest point?

a pendulum will move in a simple harmonic motion(to and fro m ovement of the body about a fixed point, having an acceleration which is directed towards the fixed point)

velocity is change in displacement per time

speed at it lowest point will be angular speed

recall that

l=length of the long string

m=mass of the steel ball

g=acceleration due to gravity 9.m/s

and ω=2

ω=2

ω=

ω=3.39rad/s

compass can be used day and night, cloudy or sunny

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west