Question

. A 2.00 kg ball is attached to a ceiling by a string. The distance from the ceiling to the center of the ball is 1.00 m, and the height of the room is 3.00 m. What is the gravitational potential energy associated with the ball relative to each of the following? (a) the ceiling (b) the floor (c) a point at the same elevation as the ball

Answer 1

a) Potential energy of ball relative to ceiling is 19.62 J

b) Potential energy of ball relative to floor is 39.24 J

c) Potential energy of ball relative to same elevation is 0 J

Explanation:

Mass of ball, m = 2 kg

Acceleration due to gravity, g = 9.81 m/s²

Height of ball from ground = 3 - 1 = 2 m

Potential energy, PE = mgh

Potential energy of ball, PE = 2 x 9.81 x 2 = 39.24 J

a) Potential energy of ball at ceiling = 2 x 9.81 x 3 = 58.86 J

Potential energy of ball relative to ceiling = 58.86 - 39.24 = 19.62 J

b) Potential energy of ball at floor = 2 x 9.81 x 0 = 0 J

Potential energy of ball relative to floor = 39.24 - 0 = 39.24 J

c) Potential energy of ball at same elevation = 2 x 9.81 x 2 = 39.24 J

Potential energy of ball relative to same elevation = 39.24 - 39.24 = 0 J

Answer 2

The gravitational potential energy of the ball attached to a ceiling by a string at different place is,

• (a) At the ceiling is 19.62 joules.
• (b)At the floor is 0 joules.
• (c) At a point at the same elevation as the ball is 39.24 joules.

What is gravitational potential energy?

Gravitational potential energy is the energy which a body posses because of its position.

The gravitational potential energy of a body is given as,

$U=mgh$

Here, (m) is the mass of the body, (g) is the gravitational force and (h) is the height of the body.

The mass of the ball is 2 kg and the distance from the ceiling to the center of the ball is 1.00 m.

• (a) At the ceiling-

As the height of the room is 3.00 meters. Thus the gravitational potential energy of the body at the ceiling is,

$U_c=2\times9.81\times3\\U_c=19.62 \rm J$

• (b)At the floor-

As the height of the floor is 0 meters from the ground. Thus the gravitational potential energy of the body at the floor is,

$U_f=2\times9.81\times0\\U_f=0$

• (c) At a point at the same elevation as the ball

As the height of the ball is 2 meters from the ground(3-1). Thus the gravitational potential energy of the body at the same elevation as the ball is,

$U_b=2\times9.81\times2\\U_b=39.24\rm J$

The gravitational potential energy of the ball attached to a ceiling by a string at different place is,

• (a) At the ceiling is 19.62 joules.
• (b)At the floor is 0 joules.
• (c) At a point at the same elevation as the ball is 39.24 joules.

Learn more about the gravitational potential energy here;

https://brainly.com/question/15896499