To calculate the change in kinetic energy, you must know the force as a function of _______. The work done by the force causes t
1 answer:
To calculate the change in kinetic energy, you must know the force as a function of position. The work done by the force causes the kinetic energy change
Explanation:
The work-energy theorem states that the change in kinetic enegy of an object is equal to the work done on the object:
where the work done is the integral of the force over the position of the object:
As we see from the formula, the magnitude of the force F(x) can be dependent from the position of the object, therefore in order to solve correctly the integral and find the work done on the object, it is required to know the behaviour of the force as a function of the position, x.
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Answer:
dr/dt = 1.94 units per second
Explanation:
A particle is moving on the x-axis to the right at 2 u/s.
To know how is changing the distance of the particle respect to the point (0,9), on the y-axis, you first take into account that the distance between charge and a point over the y-axis is given by:
(1)
Next, you calculate implicitly the derivative of the equation (1) respect to t:
(2)
Next, you solve the previous equation for dr/dx:
(3)
dx/dt: the speed of the particle on the x-axis = 2
dy/dt: speed of the particle on the y-axis = 0
For the instant given in the statement, you have that:
x = 5
y = 9
Then, you replace the values for x, y, dx/dt and dy/dt in the equation (3):
The speed of change of the distance between particle and point (0,9) is 1.94 units per second