Together as one moving package, their mass is (15 + 50) = 65 kg.
Kinetic energy = (1/2) (mass) (speed)²
= (1/2) (65 kg) (5 m/s)²
= (32.5 kg) (25 m²/s²)
= 812.5 kg-m²/s² = 812.5 joules .
Answer:
(B) 39
Explanation:
Use synthetic division:
-2 | 3 0 -1 3 1
____<u>-6 12 -22 38</u>
3 -6 11 -19 | 39
This means that the remainder is 39
Answer:
The Answer is B because the material the object is made of, the position, or the color have absolutely nothing to do with gravitational potential energy
Answer:
0.3 %
Explanation:
Earth cleans and replenishes the water supply through the hydrologic cycle. The earth has an abundance of water, but unfortunately, only a small percentage, is even usable by people.
Answer: 
Explanation: In a mass-spring-damper system, the differential equation that rules the motion of the mass is: mx" + cx' + kx = 0
Using m = 4, k = 24 and c = 20, we have
4x" + 20x' + 24x = 0
Simplifying, we have
x" + 5x'+ 6x = 0
The characteristic equation of this differential is

The solutions for the quadratic equation are:
and 
Hence:
x(t) = 
x'(t) = 
To determine the constants, we have the initial conditions x(0) = 4 and
x'(0) = 2, then:


Substituing the constants:

The position function for this system is: 