To solve this problem it is necessary to apply to the concepts related to energy conservation. For this purpose we will consider potential energy and kinetic energy as the energies linked to the body. The final kinetic energy is null since everything is converted into potential energy, therefore
Potential Energy can be defined as,

Kinetic Energy can be defined as,

Now for Conservation of Energy,




Therefore the highets position the car reaches above the bottom of the hill is 40.02m
Answer:
A. 7.1m
B. 3.55m/s
C. 1.775m/s^2
Explanation:
First step is to identify given parameters;
Ball 1: m₁ = 0.5kg, u (initial velocity) =0, t = 2seconds
Ball 2: m₂ = 0.25kg, u = 15m/s, t = 2seconds
<u>Second step:</u> we determine the y-coordinate of ball 1 after 2 seconds, using the equation of motion under gravity as shown below;



Recall, that the ball was thrown from a height of 25m, total y-coordinate of ball 1 after 2 seconds becomes 25m +(-19.6m)
[tex]y_{1} = 5.4m[/tex]
<u>Third step</u>: we determine the y-coordinate of ball 2 after 2 seconds


<u>Fourth step: </u>we determine the y-component of the center mass of the two balls


y = 7.1m
<u>Fifth step:</u> we solve B part of the question; velocity of the center mass of the two balls


velocity = 3.55m/s
<u>Sixth step:</u> we solve C part of the question; acceleration of the center mass of the two balls


acceleration = 1.775 m/s^2
Answer:
D. 200 kgm/s
Explanation:
Momentum is conserved.
Initial momentum = final momentum
(50 kg) (4 m/s) + (30 kg) (0 m/s) = final momentum
200 kgm/s = final momentum
The land of airplane gear of an airplane can be idealized as the spring-mass-damper system shown in fig. 3.52. if the runway surface is described
The total energy produced by the generator is 3.45 kJ. Of this energy, 2.23 kJ are lost because friction and electrical resistance, so this amount of energy is converted into thermal energy. This means that the rest of the energy is available as electric energy, and it is equal to: