A 2 kg ball is launched upward and has a kinetic energy of 25 J. Solve for the velocity of the ball as it was launched

A) 25 J
B) 50 m/s
C) 12.5 J
D) 5 m/s

Correct answer is 5 m/s

Well, launching a ball is a lot like launching a joke - you need some energy! In this case, we can use the equation for kinetic energy:

KE = (1/2) * m * v^2

Where KE is the kinetic energy, m is the mass, and v is the velocity. Given that the mass is 2 kg and the kinetic energy is 25 J, we can rearrange the equation to solve for v:

v^2 = (2 * KE) / m

v^2 = (2 * 25 J) / 2 kg

v^2 = 25 J / kg

v^2 = 25 m^2/s^2

Taking the square root of both sides, we get:

v ≈ 5 m/s

So the answer is D) 5 m/s. The ball was launched with a velocity of approximately 5 m/s. Just be careful not to launch any jokes at that speed - you might scare someone!

To solve for the velocity of the ball as it was launched, we can use the formula for kinetic energy:

Kinetic energy = 1/2 * mass * velocity^2

Given that the mass of the ball is 2 kg and the kinetic energy is 25 J, we can substitute these values into the formula and solve for the velocity:

25 = 1/2 * 2 * velocity^2

Divide both sides of the equation by 1/2 * 2:

25 = velocity^2

Take the square root of both sides:

√25 = √velocity^2

5 = velocity

Therefore, the velocity of the ball as it was launched is 5 m/s.

The correct answer is D) 5 m/s.

To solve for the velocity of the ball as it was launched, we can use the formula for kinetic energy.

Kinetic energy (KE) is given by the equation: KE = (1/2) * mass * velocity^2

From the given information, we know the mass of the ball (m) is 2 kg and the kinetic energy (KE) is 25 J. We need to find the velocity (v).

Let's rearrange the equation to solve for velocity:

KE = (1/2) * m * v^2

25 J = (1/2) * 2 kg * v^2

Now, let's isolate the v^2 term:

v^2 = (2 * 25 J) / (1 kg)

v^2 = 50 J / kg

Finally, take the square root of both sides to solve for v:

v = sqrt(50 J / kg)

Approximately, v = 7.071 m/s

So, the correct answer is not listed among the given options. The velocity of the ball as it was launched is approximately 7.071 m/s.

ke = 1/2 m v^2

v = √(2 ke / m)