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)