To calculate total mechanical energy, apply the formula:
total mechanical energy = KE + PE
KE = (1/2)mv^2
=(1/2) x 8 x (20)^2 = 1600 J
For PE, use mgh
g ≈ 10 m/s^2
= 8 x 10 x 85 = 6800 J
Thus, total mechanical energy is 1600 + 6800 = 8400 J
The answer is B. $55
Explanation:
To tackle this problem, you first need to calculate Carlos's total income and then account for all his monthly outlays, which will give you the remaining amount for the tuxedo.
1. Initially, Carlos earns $150 each week, leading to a monthly income of $600 ($150 multiplied by 4 weeks = $600).
2. Carlos's expenses tally up to $545, comprised of $200 for his car monthly, $15 weekly for gas (totaling $60 monthly), $85 for his cell phone, and $200 for tuition ($200 + $60 + $85 + $200 = $545).
3. Thus, the remaining funds available for his tuxedo amount to $55, derived from $600 (total income) minus $545 (overall expenses).
