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Catégorie :Category: nCreator TI-Nspire
Auteur Author: kingschool9
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 12.96 Ko KB
Mis en ligne Uploaded: 14/12/2024 - 21:21:18
Uploadeur Uploader: kingschool9 (Profil)
Téléchargements Downloads: 3
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4406467
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 12.96 Ko KB
Mis en ligne Uploaded: 14/12/2024 - 21:21:18
Uploadeur Uploader: kingschool9 (Profil)
Téléchargements Downloads: 3
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4406467
Description
Fichier Nspire généré sur TI-Planet.org.
Compatible OS 3.0 et ultérieurs.
<<
Formulas Final velocity^2 = initial velocity^2 + 2 * acceleration * distance Displacement = final position - initial position Density = mass / volume v2=u2+2as (final velocity squared = initial velocity squared + 2 × acceleration × displacement) s=vavgts = v_{avg}*t for constant acceleration. For vertical motion under gravity: h=0.5*gt^2, solving for t: t= sqr(2h/gt) . W = mgh (vertical lifts) Energy conservation: mgh turns into 0.5*m*v^2 Concets Vectors have direction like arrows. A scalar has only magnitude (like time, mass, or temperature). Projectile motion splits vector into horizontal and vertical component. Time in the air depends only on the vertical motion. At constant speed (no acceleration), tension or force just balances weight: F=mg With acceleration upward: F=m(g+a) Equal and opposite forces during collisions (Newtons 3rd Law): both objects feel the same magnitude of force. Moment of Inertia (I) depends on mass distribution. For a rod about an axis not at its end, use formulas based on the parallel axis theorem. Angular momentum (L) is conserved if theres no external torque. Pulling arms in reduces moment of inertia and increases angular speed. Orbital speed depends on gravitational parameter GM/R. Increasing mass of the orbiting object doesnt change orbital speed if radius is fixed. Weight on another planet (or the Sun) depends on that bodys gravitational acceleration. Exam 1 1.Consider the following quantities: distance x, velocity v, acceleration a, and time t. Which of the following are dimensionally consistent? (choose all that apply) x=3vt, a^3 = x^2*v / t^5 , v = x^2 / at^3, v=5at 2.A particular gasoline tank can hold 49.5 kg of gasoline when full. What is the depth, in meters, of the tank if it is a rectangular box 0.45-m wide by 1.15-m long? The density of gasoline is typically 0.680 × 103 kg/m3. V = 49.5 / (0.68 * 10^3). A = 0.45 m * 1.15 m. Depth = V / A The intersection point of two lines acts as the vertex of two right triangles, as shown. The right angles and the legs of the triangles have been labeled. The relative scaling of side lengths and angle measures may differ from the illustration. If d1=11.91, h1=5.03 and h2=2.36, enter a value for side length d2. d2 = 5.588 Convert the angle, specified in degrees, to an angle specified in radians. Enter an angle, in radians, which is equal to 217.85. 3.802 Rad Solve the following question regarding vectors. From the given list choose all that are examples of vectors. Force., Acceleration. , Velocity. A fireworks shell has a constant acceleration from rest to a velocity of 69 m/s over a distance of 7.5 m. Part (a) How long, in seconds, does the acceleration last? v^2 = 2as. T = (v)/ a 0.217 seconds Part (b) Calculate the acceleration, in meters per second squared. v^2 = u^2 + 2as. Solve for a = 317.4 Please answer the following questions about displacement vs. time graphs. Part (a) Which of the following graphs represents an impossible motion? Graph with vertical lines down Part (b) Which graph has only negative velocity? Constant slope down Part (c) Which graph represents an object being stationary for periods of time? Horizontal lines occasionally A point on the second hand of a clock has a centripetal acceleration of 0.109 cm/s2. How far is this point, in cm, from the rotational axis? Centripetal acceleration = v^2 / r. V = (2*pi* r) / 60. Plug in V to ac and solve for r. Plug 0.109 as ac. = 9.94 A bullet is shot horizontally over level ground. The initial height is 1.34 m, and its initial speed is 170 m/s. Part (a) How much time, in seconds, elapses before the bullet hits the ground? Height = 0.5 * g * t^2 t= sqr( 2h/ g) = 0.523 seconds Part (b) How far does the bullet travel horizontally, in meters, before hitting the ground? Distance = speed * time = 170 * 0.523 = 88.91 Exam 2 Suppose a 60.2kg gymnast is climbing a rope. Part (a) What is the magnitude, in newtons, of the tension force in the rope if the gymnast climbs at a constant speed? F = mg = 60.2*9.8 = 590 N Part (b) What is the magnitude, in newtons, of the tension force in the rope if the climbing gymnast accelerates upward at a rate of 1.49m/s2? F = m ( g + a) = 60.2 ( 9.8 + 1.49) = 680 The figure illustrates a uniform metal sheet shaped like a triangle, with a hole cut in the center.Where is the center of mass of this object, relative to the coordinate system shown? Somewhere on the y-axis, where x = 0. A woman has just left home for her morning commute and has forgotten that her coffee mug is on the roof of her car. At one point, as she is driving at a constant speed of 35 km/h, she sees a squirrel running in front of the car. She slams on the brakes and the coffee mug slides across the cars roof and falls onto the windshield and hood. An observer standing on the roadside witnesses this event. For this problem, consider the motion of the coffee mug from the moment the brakes are touched to just before it falls off the roof. (Assume that it slides across th
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Compatible OS 3.0 et ultérieurs.
<<
Formulas Final velocity^2 = initial velocity^2 + 2 * acceleration * distance Displacement = final position - initial position Density = mass / volume v2=u2+2as (final velocity squared = initial velocity squared + 2 × acceleration × displacement) s=vavgts = v_{avg}*t for constant acceleration. For vertical motion under gravity: h=0.5*gt^2, solving for t: t= sqr(2h/gt) . W = mgh (vertical lifts) Energy conservation: mgh turns into 0.5*m*v^2 Concets Vectors have direction like arrows. A scalar has only magnitude (like time, mass, or temperature). Projectile motion splits vector into horizontal and vertical component. Time in the air depends only on the vertical motion. At constant speed (no acceleration), tension or force just balances weight: F=mg With acceleration upward: F=m(g+a) Equal and opposite forces during collisions (Newtons 3rd Law): both objects feel the same magnitude of force. Moment of Inertia (I) depends on mass distribution. For a rod about an axis not at its end, use formulas based on the parallel axis theorem. Angular momentum (L) is conserved if theres no external torque. Pulling arms in reduces moment of inertia and increases angular speed. Orbital speed depends on gravitational parameter GM/R. Increasing mass of the orbiting object doesnt change orbital speed if radius is fixed. Weight on another planet (or the Sun) depends on that bodys gravitational acceleration. Exam 1 1.Consider the following quantities: distance x, velocity v, acceleration a, and time t. Which of the following are dimensionally consistent? (choose all that apply) x=3vt, a^3 = x^2*v / t^5 , v = x^2 / at^3, v=5at 2.A particular gasoline tank can hold 49.5 kg of gasoline when full. What is the depth, in meters, of the tank if it is a rectangular box 0.45-m wide by 1.15-m long? The density of gasoline is typically 0.680 × 103 kg/m3. V = 49.5 / (0.68 * 10^3). A = 0.45 m * 1.15 m. Depth = V / A The intersection point of two lines acts as the vertex of two right triangles, as shown. The right angles and the legs of the triangles have been labeled. The relative scaling of side lengths and angle measures may differ from the illustration. If d1=11.91, h1=5.03 and h2=2.36, enter a value for side length d2. d2 = 5.588 Convert the angle, specified in degrees, to an angle specified in radians. Enter an angle, in radians, which is equal to 217.85. 3.802 Rad Solve the following question regarding vectors. From the given list choose all that are examples of vectors. Force., Acceleration. , Velocity. A fireworks shell has a constant acceleration from rest to a velocity of 69 m/s over a distance of 7.5 m. Part (a) How long, in seconds, does the acceleration last? v^2 = 2as. T = (v)/ a 0.217 seconds Part (b) Calculate the acceleration, in meters per second squared. v^2 = u^2 + 2as. Solve for a = 317.4 Please answer the following questions about displacement vs. time graphs. Part (a) Which of the following graphs represents an impossible motion? Graph with vertical lines down Part (b) Which graph has only negative velocity? Constant slope down Part (c) Which graph represents an object being stationary for periods of time? Horizontal lines occasionally A point on the second hand of a clock has a centripetal acceleration of 0.109 cm/s2. How far is this point, in cm, from the rotational axis? Centripetal acceleration = v^2 / r. V = (2*pi* r) / 60. Plug in V to ac and solve for r. Plug 0.109 as ac. = 9.94 A bullet is shot horizontally over level ground. The initial height is 1.34 m, and its initial speed is 170 m/s. Part (a) How much time, in seconds, elapses before the bullet hits the ground? Height = 0.5 * g * t^2 t= sqr( 2h/ g) = 0.523 seconds Part (b) How far does the bullet travel horizontally, in meters, before hitting the ground? Distance = speed * time = 170 * 0.523 = 88.91 Exam 2 Suppose a 60.2kg gymnast is climbing a rope. Part (a) What is the magnitude, in newtons, of the tension force in the rope if the gymnast climbs at a constant speed? F = mg = 60.2*9.8 = 590 N Part (b) What is the magnitude, in newtons, of the tension force in the rope if the climbing gymnast accelerates upward at a rate of 1.49m/s2? F = m ( g + a) = 60.2 ( 9.8 + 1.49) = 680 The figure illustrates a uniform metal sheet shaped like a triangle, with a hole cut in the center.Where is the center of mass of this object, relative to the coordinate system shown? Somewhere on the y-axis, where x = 0. A woman has just left home for her morning commute and has forgotten that her coffee mug is on the roof of her car. At one point, as she is driving at a constant speed of 35 km/h, she sees a squirrel running in front of the car. She slams on the brakes and the coffee mug slides across the cars roof and falls onto the windshield and hood. An observer standing on the roadside witnesses this event. For this problem, consider the motion of the coffee mug from the moment the brakes are touched to just before it falls off the roof. (Assume that it slides across th
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