A 2 kg block is experiencing a variable force P as it moves down an incline. In the first 4 m, the force P points down the incline block and in the last 4 m the force P is directed up the incline. a) Find the work done by P in the first 8 m b) Find the work done by gravity if As = 10 m down the incline. P(N) P. AS As (m), 10 displacement down the ramp 2 4 8 6m 10m f 8m -15 ] c) Find the work done by the one-dimensional variable force, F(x) = ½ x³ (all in Sl units) in moving an object from x = -2 m to x = 0.

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Chapter1: Units, Trigonometry. And Vectors
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A 2 kg block is experiencing a variable force P as it moves down an incline.
In the first 4 m, the force P points down the incline block and in the last 4 m the force P is
directed up the incline.
a) Find the work done by P in the first 8 m
b) Find the work done by gravity if As = 10 m down the incline.
P(N)
AS
As (m),
2
10
displacement
6m
10m
down the ramp
8m
-15
] c) Find the work done by the one-dimensional variable force, F(x) = ½ x³
in moving an object from x = -2 m to x = 0.
]d) A constant force of F = 4i – 3 j Newtons acts on an object that is displaced
As = -5 i -12 k meters. Using the definition of the dot product, A•B = |A|B|cos 0,
Find the work is done by this force on the object.
Find the angle 0 between this force and the displacement.
(all in Sl units)
Note |F|= 5, |As |= 13
& i•k=j•i= j• k = 0
Transcribed Image Text:A 2 kg block is experiencing a variable force P as it moves down an incline. In the first 4 m, the force P points down the incline block and in the last 4 m the force P is directed up the incline. a) Find the work done by P in the first 8 m b) Find the work done by gravity if As = 10 m down the incline. P(N) AS As (m), 2 10 displacement 6m 10m down the ramp 8m -15 ] c) Find the work done by the one-dimensional variable force, F(x) = ½ x³ in moving an object from x = -2 m to x = 0. ]d) A constant force of F = 4i – 3 j Newtons acts on an object that is displaced As = -5 i -12 k meters. Using the definition of the dot product, A•B = |A|B|cos 0, Find the work is done by this force on the object. Find the angle 0 between this force and the displacement. (all in Sl units) Note |F|= 5, |As |= 13 & i•k=j•i= j• k = 0
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