A heavy ball with a weight of 100 NN is hung from the ceiling of a lecture hall on a 4.4-mm-long rope. The ball is pulled to one side and released to swing as a pendulum, reaching a speed of 5.7 m/sm/s as it passes through the lowest point

175.3 N

Explanation:

The motion of the ball is a uniform circular motion, therefore the net force on it must be equal to the centripetal force.

There are two forces acting on the ball at the lowest point of motion:

- The tension in the string, T , upward

- The weight of the ball, , downward

The net force (centripetal force) has the same direction as the tension (upward, towards the centre of the circular path), so we can write:

where the term on the right is the expression for the centripetal force, and where:

T is the tension in the string

is the weight of the ball

is the mass of the ball

v = 5.7 m/s is the speed of the ball at the lowest point

r = 4.4 m is the length of the rope, so the radius of the circle

Solving for T, we find the tension in the string:

wire in brush may conduct electricity from cell to drill and vice versa electrc shock possible

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles