What is the relationship between the speed of an object and its kinetic energy?
2 answers:
The kinetic energy of an object is directly proportional to the square of the speed of the object.
<u>Explanation: </u>
The kinetic energy is the measure of energy exerted by the object during its state of motion. The kinetic energy depend on the mass of the object and the speed the object is moving. So, the kinetic energy is related to square of the speed of the object.
Thus, kinetic energy is directly proportional to the square of the speed of the object. So, as the speed of the object increases the kinetic energy increases double the times of its speed of the object.
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When dealing with multiple forces acting on a body, it is advisable to draw a free-body diagram like that shown in the picture. There are four forces acting on the box: weight (W) pointing straight down, normal force perpendicular to the slope denoted as Fn, force used to push the box upwards along the slope and the frictional force acting opposite to the direction of motion of the box denoted as Ff. Frictional force is equal to coefficient of kinetic friction (μk) multiplied with Fn.
∑Fy = Fn - mgcos30° = 0
Fn = (50)(9.81)(cos 16) = 471.5 N
When in motion, the net force is equal to mass times acceleration according to Newton's 2nd Law of Motion:
Fnet = F - μk*Fn - mgsin30° = ma
250 - (0.2)(471.5 N) - (50)(sin 16°) = (50)(a)
a = 2.84 m/s²
∑Fy = Fn - mgcos30° = 0
Fn = (50)(9.81)(cos 16) = 471.5 N
When in motion, the net force is equal to mass times acceleration according to Newton's 2nd Law of Motion:
Fnet = F - μk*Fn - mgsin30° = ma
250 - (0.2)(471.5 N) - (50)(sin 16°) = (50)(a)
a = 2.84 m/s²