To solve this problem, we need to use the formula for gravitational potential energy, which is:

Potential Energy (PE) = mass (m) * gravity (g) * height (h)

We know the mass (m) is 0.25 kg and the acceleration due to gravity (g) is approximately 9.8 m/s². However, we don't know the height (h) the ball reaches.

We can find the height by using the formula for the maximum height reached by a projectile, which is:

h = (initial velocity²) / (2*g)

The initial velocity is given as 12.3 m/s. So, we substitute these values into the formula:

h = (12.3 m/s)² / (2*9.8 m/s²) = 7.74 m

Now we can find the potential energy at the top of the flight by substituting the values of m, g, and h into the potential energy formula:

PE = 0.25 kg * 9.8 m/s² * 7.74 m = 18.9 J

So, the ball will have 18.9 Joules of gravitational potential energy at the top of its flight. The correct answer is B. 18.9 J.

Question

To solve this problem, we need to use the formula for gravitational potential energy, which is:

Potential Energy (PE) = mass (m) * gravity (g) * height (h)

We know the mass (m) is 0.25 kg and the acceleration due to gravity (g) is approximately 9.8 m/s². However, we don't know the height (h) the ball reaches.

We can find the height by using the formula for the maximum height reached by a projectile, which is:

h = (initial velocity²) / (2*g)

The initial velocity is given as 12.3 m/s. So, we substitute these values into the formula:

h = (12.3 m/s)² / (2*9.8 m/s²) = 7.74 m

Now we can find the potential energy at the top of the flight by substituting the values of m, g, and h into the potential energy formula:

PE = 0.25 kg * 9.8 m/s² * 7.74 m = 18.9 J

So, the ball will have 18.9 Joules of gravitational potential energy at the top of its flight. The correct answer is B. 18.9 J.

Knowee AI · Accepted Answer

To solve this problem, we need to use the formula for gravitational potential energy, which is:

Potential Energy (PE) = mass (m) * gravity (g) * height (h)

We know the mass (m) is 0.25 kg and the acceleration due to gravity (g) is approximately 9.8 m/s². However, we don't know the height (h) the ball reaches.

We can find the height by using the formula for the maximum height reached by a projectile, which is:

h = (initial velocity²) / (2*g)

The initial velocity is given as 12.3 m/s. So, we substitute these values into the formula:

h = (12.3 m/s)² / (2*9.8 m/s²) = 7.74 m

Now we can find the potential energy at the top of the flight by substituting the values of m, g, and h into the potential energy formula:

PE = 0.25 kg * 9.8 m/s² * 7.74 m = 18.9 J

So, the ball will have 18.9 Joules of gravitational potential energy at the top of its flight. The correct answer is B. 18.9 J.

A boy throws a ball up into the air with a speed of 12.3 m/s. The ball has a mass of 0.25 kg. How much gravitational potential energy will the ball have at the top of its flight? (Assume there is no air resistance.)A.12.1 JB.18.9 JC.13.5 JD.20.2 J

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