The position vector can be
transcribed as:
A<span> = 6 i + y j
</span>
i <span>points in the x-direction and j points
in the y-direction.</span>
The magnitude of the
vector is its dot product with itself:
<span>|A|2 = A·A</span>
<span>102 = (6 i +
y j)•(6 i+ y j)
Note that i•j = 0, and i•i = j•j =
1 </span>
<span>100 = 36 + y2
</span>
<span>64 = y2</span>
<span>get the square root of 64 = 8</span>
<span>The vertical component of the vector is 8 cm.</span>
Following the initial 4.0 seconds of travel, the cart moved 32m.
<h3>What is an equation of motion?</h3>
Physicists use equations of motion to describe how a physical system behaves in terms of how its motion changes over time.
The behavior of a physical system is described by the equations of motion in more detail as a collection of mathematical functions expressed in terms of dynamic variables. These variables typically comprise time and spatial coordinates, but they could also have momentum components. The most flexible option is generalized coordinates, which can be any useful variable that is a component of the physical system. In classical mechanics, the functions are defined in a Euclidean space, while curved spaces are used in relativity instead. The equations are the answers to the differential equations describing the motion of the dynamics of the dynamics of a system are known. The amount of motion changes according to the strength of the force and does so in the direction of the force's applied straight line.
To know more about equations of motion, click here:
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The mechanical enegia is the sum of the kinetic energy plus the potential energy
Kinetic energy = (1/2) * m * v ^ 2
Potential energy = m * g * h
Mechanical energy = (1/2) * m * v ^ 2 + m * g * h
What is the mechanical energy of the sled at the top?
Mechanical energy = (1/2) * m * v ^ 2 + m * g * h
Mechanical energy = (1/2) * (50) * (0) ^ 2 + (50) * (9.8) * (7.5) = 3675
Mechanical energy = 3675J
What is the mechanical energy of the sled at the bottom?
By conservation of energy we have that the energy in point 1 is equal to the energy in point 2
Mechanical energy = 3675J
What is the speed of the sled at the bottom of the hill?
Mechanical energy = 3675J = (1/2) * m * v ^ 2
clearing up v we have
(1/2) * (50) * v ^ 2 = 3675
v ^ 2 = 3675 * (2) * (1/50)
v = root (3675 * (2) * (1/50)) = 12.12 m / s
answer
3675J
3675J
12.12 m / s
A: 6,000 watts
Equation for power: P= work / time
