<span>Kinetic
energy is the energy that is possessed by an object that is moving. It is
calculated by one-half the product of the mass and the square of the velocity
of the object. We need to determine the velocity of the cart that is moving.
</span>
First, we use Newton's Second Law of motion;
<span>Force = ma
200 = 55a
a = 3.64 m/s^2
Then, from the kinematic equation we calculate the velocity;
v^2 = v0^2 + 2ax
where v is the final velocity, v0 is the initial veocity (zero since it initially start at zero), a is the acceleration ( 3.64 m/s^2) and x is the distance traveled.
v^2 = 0^2 + 2 (3.64) (10)
v^2 = 72.73 m^2 / s^2
v = 8.53 m / s
KE = mv^2 / 2
KE = 1/2 (55) (8.53^2)
KE= 2000 J</span>
OPTION D is the correct answer.
Refer to the attachment for complete calculation...
Answer:
1.5288 J
Explanation:
We can use the Energy conversion law
Energy can not be made or destroyed. It can only be converted to another form of energy
Potential Energy (PE) is the energy an object has due to its height of the location
<em>PE = mass * gravitational acceleration * height from the ground</em>
Simply here , lemming had a PE and KE also.
(g = 9.8 m/s²)
PE = 0.0780 * 9.8 *2
= 1.5288 J