'a 48 kg projectile is fired at an angle of 30 degree above the horizontal with an initial speed of 1.34 x10^2m/s fro the top of a cliff 150m above level ground, where the ground is taken to be y=0 what is the inital total mechanical energy of the projectile?'
To find the initial total mechanical energy of the projectile, we need to consider both its kinetic energy and potential energy.
1. Kinetic Energy:
The formula for kinetic energy is:
KE = (1/2) * m * v^2
where m is the mass of the projectile and v is its initial speed.
Given that the mass of the projectile is 48 kg and its initial speed is 1.34 x 10^2 m/s, we can calculate the kinetic energy.
KE = (1/2) * 48 kg * (1.34 x 10^2 m/s)^2
2. Potential Energy:
The formula for potential energy due to height is:
PE = m * g * h
where m is the mass of the projectile, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height above the reference point. In this case, the reference point is taken as y=0.
Given that the mass of the projectile is 48 kg and the height of the cliff is 150 m, we can calculate the potential energy.
PE = 48 kg * 9.8 m/s^2 * 150 m
3. Total Mechanical Energy:
The total mechanical energy is the sum of the kinetic energy and potential energy.
Total Mechanical Energy = KE + PE
Now you have all the information needed to calculate the initial total mechanical energy of the projectile.