1. An object situated at a distance x (in meters) from a fixed starting point moves on a rectilinear course under the action of a force F, defined byF(x)=6x26x (in newtons). What is the work done by this force to move the object from 2m to 5m.

2. For each of the flat surfaces, calculate its exact area (fractional answer) (useful to make a graphical representation).

a) The surface composed of all the surfaces bounded by the curve y=x31, the x-axis, the y-axis, and the line x=2.

b) The surface bounded by the curvey=2x , the x-axis and the line5y=4x12 using the vertical rectangles.

c) The surface bounded by the curvey=2x , the x-axis and the line5y=4x12 using the horizontal rectangles.

3. Simple pendulum has a length of 70 cm and a bob of mass 1.2 kg. When the string is at 18 degrees to the vertical. the bob has a speed of 2.6 m/s. a) What is the maximum speed of the bob?

b) What is the maximum angle to the vertical?

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1 To calculate the work done by the force to move the object from 2m to 5m we need to evaluate the definite integral of the force function Fx over the ... View the full answer