To find the total amount of energy used for a stomp rocket, we need to consider two types of energy: potential energy and kinetic energy.
Potential Energy:
The potential energy of an object is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height.
In the case of a stomp rocket, the height is the vertical distance it reaches. Since the rocket is launched at an angle of 40 degrees, we need to find the vertical component of the height.
The vertical height can be calculated using the formula h = d * sin(theta), where d is the horizontal distance (in this case, 60 cm) and theta is the launch angle (40 degrees).
First, we convert the distance to meters: 60 cm = 0.6 m.
Then, we calculate the vertical height: h = 0.6 m * sin(40 degrees).
Kinetic Energy:
The kinetic energy of an object is given by the formula KE = 0.5 * m * v^2, where m is the mass of the object and v is the velocity.
To find the velocity, we need to calculate the horizontal component of the launch speed. We can use the formula v = d / t, where d is the horizontal distance (0.6 m) and t is the total time (2.45 seconds).
Now we have the velocity, v. We can calculate the kinetic energy: KE = 0.5 * 0.013874 kg * v^2.
Finally, to find the total energy used, we add the potential energy and kinetic energy together:
Total Energy = Potential Energy + Kinetic Energy
Please note that this calculation assumes there is no air resistance or other external factors affecting the energy conversion.