| Phys: Question 2.13 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-mode == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair x0 '(the x-pos of (the origin of ?the-move)))
(:pair ac '(the acceleration of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v0 '((the velocity of ?the-move) called "v0"))
(:pair v '((the velocity of ?the-move) called "v"))
(:pair v-av '((the velocity of ?the-move) called "v-av"))))))
(model-equations
(('(= v (+ v0 (* ac t)))
'(= x (+ x0 (+ * v0 t) (* (* 0.5 ac) (expt t 2))))
'(= v (sqrt (+ (expt v0 2) (* (* 2 ac) (- x x0)))))
'(= v-av (/ (+ v v0) 2))))))
;;; Composition-Equation-Set
(Composition-Equation-Set has (superclasses (Equation-Set)))
(every Composition-Equation-Set has
(model-symbols
((
(?the-first-movement == (the first Move has-part of
(the model-component of
(the model-equation-set-of of Self))))
(?the-second-movement == (the second Move has-part of
(the model-component of
(the model-equation-set-of of Self))))
(?the-composition-movement == (the Event has-part of
(the model-component of
(the model-equation-set-of of Self))))
and
(:set (:pair t1 '(the duration of ?the-first-movement))
(:pair t2 '(the duration of ?the-second-movement))
(:pair t '(the duration of ?the-composition-movement))))))
(model-equations
(('(= t (+ t1 t2))))))
|
| Phys: Question 2.16 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-mode == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair x0 '(the x-pos of (the origin of ?the-move)))
(:pair ac '(the acceleration of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v0 '((the velocity of ?the-move) called "v0"))
(:pair v '((the velocity of ?the-move) called "v"))
(:pair v-av '((the velocity of ?the-move) called "v-av"))))))
(model-equations
(('(= v (+ v0 (* ac t)))
'(= x (+ x0 (+ * v0 t) (* (* 0.5 ac) (expt t 2))))
'(= v (sqrt (+ (expt v0 2) (* (* 2 ac) (- x x0)))))
'(= v-av (/ (+ v v0) 2))))))
|
| Phys: Question 2.29 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-mode == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair x0 '(the x-pos of (the origin of ?the-move)))
(:pair ac '(the acceleration of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v0 '((the velocity of ?the-move) called "v0"))
(:pair v '((the velocity of ?the-move) called "v"))
(:pair v-av '((the velocity of ?the-move) called "v-av"))))))
(model-equations
(('(= v (+ v0 (* ac t)))
'(= x (+ x0 (+ * v0 t) (* (* 0.5 ac) (expt t 2))))
'(= v (sqrt (+ (expt v0 2) (* (* 2 ac) (- x x0)))))
'(= v-av (/ (+ v v0) 2))))))
|
| Phys: Question 2.49 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-mode == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair x0 '(the x-pos of (the origin of ?the-move)))
(:pair ac '(the acceleration of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v0 '((the velocity of ?the-move) called "v0"))
(:pair v '((the velocity of ?the-move) called "v"))
(:pair v-av '((the velocity of ?the-move) called "v-av"))))))
(model-equations
(('(= v (+ v0 (* ac t)))
'(= x (+ x0 (+ * v0 t) (* (* 0.5 ac) (expt t 2))))
'(= v (sqrt (+ (expt v0 2) (* (* 2 ac) (- x x0)))))
'(= v-av (/ (+ v v0) 2))))))
|
| Phys: Question 2.61 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-mode == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair x0 '(the x-pos of (the origin of ?the-move)))
(:pair ac '(the acceleration of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v0 '((the velocity of ?the-move) called "v0"))
(:pair v '((the velocity of ?the-move) called "v"))
(:pair v-av '((the velocity of ?the-move) called "v-av"))))))
(model-equations
(('(= v (+ v0 (* ac t)))
'(= x (+ x0 (+ * v0 t) (* (* 0.5 ac) (expt t 2))))
'(= v (sqrt (+ (expt v0 2) (* (* 2 ac) (- x x0)))))
'(= v-av (/ (+ v v0) 2))))))
;;; Scale-Equation-Set
(Scale-Equation-Set has (superclasses (Equation-Set)))
(every Scale-Equation-Set has
(model-symbols
((
(?component == (the model-component of
(the model-equation-set-of of Self))))
and
(:set (:pair input '(the input of ?component))
(:pair factor '(the factor of ?component))
(:pair output '(the output of ?component)))))
(model-equations
(('(= output (* input factor))))))
|
| Phys: Question 2.66 | |
;;; Constant-Acceleration-Equation-Set2
(Constant-Acceleration-Equation-Set2 has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set2 has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-move == (the Move object-of of ?the-object))
and
(?the-tf == (the time-sequence of ?the-move))
and
(:set (:pair ac '(the acceleration of ?the-move))
(:pair t1 '(the init-time of ?the-tf))
(:pair t2 '(the final-time of ?the-tf))
(:pair dura '(the duration of the-tf))
(:pair x1 '(the origin of ?the-tf))
(:pair x2 '(the destination of ?the-tf))
(:pair dist '(the distance of ?the-tf))
(:pair v1 '(the init-velocity of ?the-tf))
(:pair v2 '(the final-velocity of ?the-tf)))
(model-equations
(('(= dura (- t2 t1))
(= dist (- x2 x1))
'(= v2 (+ v1 (* ac delta-t)))
'(= dist (+ * v1 delta-t) (* (* 0.5 ac) (expt delta-t 2)))
'(= v2 (sqrt (+ (expt v1 2) (* (* 2 ac) dist))))
'(= v-av (/ (+ v2 v1) 2))))))
;;; Composition-Move-Equation-Set
(Composition-Move-Equation-Set has (superclasses (Equation-Set)))
(every Composition-Move-Equation-Set has
(model-symbols
((
(?the-first-movement == (the first time-sequence has-part of
(the model-component of
(the model-equation-set-of of Self))))
(?the-second-movement == (the second time-sequence has-part of
(the model-component of
(the model-equation-set-of of Self))))
and
(:set (:pair final-time1 '(the final-time of ?the-first-movement))
(:pair init-time2 '(the init-time of ?the-second-movement))
(:pair destination1 '(the destination of ?the-first-movement))
(:pair origin2 '(the origin of ?the-second-movement))
(:pair final-velocity1 '(the final-velocity of ?the-first-movement))
(:pair init-velocity2 '(the init-velocity of ?the-second-movement)))
(model-equations
(('(= final-time1 init-time2)
'(= destination1 origin2)
'(= final-velocity1 init-velocity2))))))))
|
| Phys: Question 4.5 | |
;;; Weight-Mass-Equation-Set
(Weight-Mass-Equation-Set has (superclasses (Equation-Set)))
(every Weight-Mass-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of (the model-equation-set-of of Self)))
and
(?the-planet == (the element of ?the-system))
and
(?the-object == (the is-at-of of ?the-planet)))
and
(:set (:pair weight '(the weight of ?the-object))
(:pair gravity '(the gravity of ?the-planet))
(:pair mass '(the mass of ?the-object))))))
(model-equations
(('(= force (* mass gravity))))))
|
| Phys: Question 4.7 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-move == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair x0 '(the x-pos of (the origin of ?the-move)))
(:pair ac '(the acceleration of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v0 '((the velocity of ?the-move) called "v0"))
(:pair v '((the velocity of ?the-move) called "v"))
(:pair v-av '((the velocity of ?the-move) called "v-av"))))))
(model-equations
(('(= v (+ v0 (* ac t)))
'(= x (+ x0 (+ * v0 t) (* (* 0.5 ac) (expt t 2))))
'(= v (sqrt (+ (expt v0 2) (* (* 2 ac) (- x x0)))))
'(= v-av (/ (+ v v0) 2))))))
;;; Force-Equation-Set
(Force-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Force-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of (the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-force == (the acted-on-by of ?the-object))
and
(?the-move == (the object-of of ?the-object))
and
(:set (:pair force '(the measure of ?the-force))
(:pair acceleration '(the acceleration of ?the-move))
(:pair mass '(the mass of ?the-object))))))
(model-equations
(('(= force (* mass acceleration))))))
|
| Phys: Question 4.10 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-move == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair x0 '(the x-pos of (the origin of ?the-move)))
(:pair ac '(the acceleration of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v0 '((the velocity of ?the-move) called "v0"))
(:pair v '((the velocity of ?the-move) called "v"))
(:pair v-av '((the velocity of ?the-move) called "v-av"))))))
(model-equations
(('(= v (+ v0 (* ac t)))
'(= x (+ x0 (+ * v0 t) (* (* 0.5 ac) (expt t 2))))
'(= v (sqrt (+ (expt v0 2) (* (* 2 ac) (- x x0)))))
'(= v-av (/ (+ v v0) 2))))))
;;; Force-Equation-Set
(Force-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Force-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of (the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-force == (the acted-on-by of ?the-object))
and
(?the-move == (the object-of of ?the-object))
and
(:set (:pair force '(the measure of ?the-force))
(:pair acceleration '(the acceleration of ?the-move))
(:pair mass '(the mass of ?the-object))))))
(model-equations
(('(= force (* mass acceleration))))))
|
| Phys: Question 98B.59 | |
;;; Weight-Mass-Equation-Set
(Weight-Mass-Equation-Set has (superclasses (Equation-Set)))
(every Weight-Mass-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of (the model-equation-set-of of Self)))
and
(?the-planet == (the element of ?the-system))
and
(?the-object == (the is-at-of of ?the-planet)))
and
(:set (:pair weight '(the weight of ?the-object))
(:pair gravity '(the gravity of ?the-planet))
(:pair mass '(the mass of ?the-object))))))
(model-equations
(('(= force (* mass gravity))))))
|
| Phys: Question 98B.59 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-mode == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair x0 '(the x-pos of (the origin of ?the-move)))
(:pair ac '(the acceleration of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v0 '((the velocity of ?the-move) called "v0"))
(:pair v '((the velocity of ?the-move) called "v"))
(:pair v-av '((the velocity of ?the-move) called "v-av"))))))
(model-equations
(('(= v (+ v0 (* ac t)))
'(= x (+ x0 (+ * v0 t) (* (* 0.5 ac) (expt t 2))))
'(= v (sqrt (+ (expt v0 2) (* (* 2 ac) (- x x0)))))
'(= v-av (/ (+ v v0) 2))))))
|
| Phys: Question 2.1 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-mode == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v '((the velocity of ?the-move) called "v"))))))
(model-equations
(('(= x (* v t))))))
|
| Phys: Question 2.2 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-mode == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v '((the velocity of ?the-move) called "v"))))))
(model-equations
(('(= x (* v t))))))
|
| Phys: Question 2.3 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-mode == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v '((the velocity of ?the-move) called "v"))))))
(model-equations
(('(= x (* v t))))))
|
| Phys: Question 2.19 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-mode == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair x0 '(the x-pos of (the origin of ?the-move)))
(:pair ac '(the acceleration of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v0 '((the velocity of ?the-move) called "v0"))
(:pair v '((the velocity of ?the-move) called "v"))
(:pair v-av '((the velocity of ?the-move) called "v-av"))))))
(model-equations
(('(= v (+ v0 (* ac t)))
'(= x (+ x0 (+ * v0 t) (* (* 0.5 ac) (expt t 2))))
'(= v (sqrt (+ (expt v0 2) (* (* 2 ac) (- x x0)))))
'(= v-av (/ (+ v v0) 2))))))
|
| Phys: Question 2.20 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-mode == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair x0 '(the x-pos of (the origin of ?the-move)))
(:pair ac '(the acceleration of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v0 '((the velocity of ?the-move) called "v0"))
(:pair v '((the velocity of ?the-move) called "v"))
(:pair v-av '((the velocity of ?the-move) called "v-av"))))))
(model-equations
(('(= v (+ v0 (* ac t)))
'(= x (+ x0 (+ * v0 t) (* (* 0.5 ac) (expt t 2))))
'(= v (sqrt (+ (expt v0 2) (* (* 2 ac) (- x x0)))))
'(= v-av (/ (+ v v0) 2))))))
|
| Phys: Question 2.21 | |
;;; Constant-Acceleration-Equation-Set
(Constant-Acceleration-Equation-Set has (superclasses (Equation-Set)))
(every Constant-Acceleration-Equation-Set has
(model-symbols
((
(?the-system == (the model-component of
(the model-equation-set-of of Self)))
and
(?the-object == (the Physical-Object has-part of ?the-system))
and
(?the-mode == (the Move object-of of ?the-object))
and
(:set (:pair x '(the distance of ?the-move))
(:pair x0 '(the x-pos of (the origin of ?the-move)))
(:pair ac '(the acceleration of ?the-move))
(:pair t '(the duration of ?the-move))
(:pair v0 '((the velocity of ?the-move) called "v0"))
(:pair v '((the velocity of ?the-move) called "v"))
(:pair v-av '((the velocity of ?the-move) called "v-av"))))))
(model-equations
(('(= v (+ v0 (* ac t)))
'(= x (+ x0 (+ * v0 t) (* (* 0.5 ac) (expt t 2))))
'(= v (sqrt (+ (expt v0 2) (* (* 2 ac) (- x x0)))))
'(= v-av (/ (+ v v0) 2))))))
|