a 4.8 force acts on a 4.4 kg mass that sits on a frictionless table for 6.4 meters. What is the Kinectic Energy that the object has?
To find the kinetic energy of an object, you need to know its mass and its velocity. In this case, the force is given instead of velocity. However, we can use Newton's second law of motion to calculate the acceleration of the object.
Newton's second law states that the force acting on an object is equal to the mass of the object multiplied by its acceleration: F = m * a.
We are given that a force of 4.8 N acts on a mass of 4.4 kg. By rearranging the equation, we can solve for acceleration: a = F / m.
Let's calculate the acceleration:
a = 4.8 N / 4.4 kg
a ≈ 1.09 m/s^2
Now, we can use the equations of motion to find the object's final velocity. Since the object starts from rest (assuming no initial velocity), we can use the equation:
v^2 = u^2 + 2as
where v is the final velocity, u is the initial velocity (which is 0 m/s), a is the acceleration, and s is the displacement.
Given that the displacement is 6.4 m and the acceleration is 1.09 m/s^2, we can calculate the final velocity:
v^2 = 0^2 + 2 * 1.09 m/s^2 * 6.4 m
v^2 = 0 + 13.824 m^2/s^2
v ≈ 3.72 m/s (approximated to two decimal places)
Finally, we can calculate the kinetic energy of the object using this formula:
Kinetic Energy (KE) = (1/2) * m * v^2
Plugging in the values:
KE = (1/2) * 4.4 kg * (3.72 m/s)^2
KE = 0.5 * 4.4 kg * 13.8384 m^2/s^2
KE ≈ 30.5168 J (approximated to two decimal places)
Therefore, the kinetic energy of the object is approximately 30.52 Joules.