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    • https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_Spiral_Physics_-_Calculus_Based_(DAlessandris)/Spiral_Mechanics_(Calculus-Based)/04%3A_Model_3/4.03%3A_New_Page
      Note that when the block is at a positive position, the force of the spring is in the negative direction and when the block is at a negative position, the force of the spring is in the positive direct...Note that when the block is at a positive position, the force of the spring is in the negative direction and when the block is at a negative position, the force of the spring is in the positive direction. Determine the speed of the cart (v) as a function of the angular position of the cart on the loop (let straight down be \(\theta\) =0°), the spring constant (k), the initial compression of the spring (s), H, m, and g.
    • https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_Spiral_Physics_-_Calculus_Based_(DAlessandris)/Spiral_Electricity_and_Magnetism__(Calculus-Based)/7%3A_Electric_Circuits/04._Activities/XI_-_38
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    • https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_Spiral_Physics_-_Calculus_Based_(DAlessandris)/Spiral_Electricity_and_Magnetism__(Calculus-Based)/7%3A_Electric_Circuits/04._Activities/XI_-_20
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    • https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_Spiral_Physics_-_Calculus_Based_(DAlessandris)/Spiral_Mechanics_(Calculus-Based)/03%3A_Model_2/3.00%3A_New_Page
      For our second pass through the study of mechanics, we will eliminate one of the major restrictions in our original model. We will now allow objects to move through three dimensional space. We will st...For our second pass through the study of mechanics, we will eliminate one of the major restrictions in our original model. We will now allow objects to move through three dimensional space. We will still, however, restrict our model with the following approximations. The object is acted on by constant forces. The object’s size and shape are unimportant. The object is classical.
    • https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_Spiral_Physics_-_Calculus_Based_(DAlessandris)/Spiral_Mechanics_(Calculus-Based)/02%3A_Model_1/2.02%3A_New_Page
      Notice that between the instant she hits the brakes and the instant she steps on the gas the acceleration is negative, while between the instant she steps on the gas and the instant she passes the lig...Notice that between the instant she hits the brakes and the instant she steps on the gas the acceleration is negative, while between the instant she steps on the gas and the instant she passes the light the acceleration is positive.
    • https://phys.libretexts.org/Bookshelves/Modern_Physics/Book%3A_Spiral_Modern_Physics_(D'Alessandris)/3%3A_Spacetime_and_General_Relativity/3.3%3A_Activities
    • https://phys.libretexts.org/Bookshelves/Modern_Physics/Book%3A_Spiral_Modern_Physics_(D'Alessandris)/1%3A_The_Special_Theory_of_Relativity_-_Kinematics/1.7%3A_The_Lock_and_Key_Paradox__(Project)
      Write an expression for the length of the key when the front tip finally stops, K*. If K* is greater than or equal to the rest length of the lock, L0, the button will be pressed. Write an expression f...Write an expression for the length of the key when the front tip finally stops, K*. If K* is greater than or equal to the rest length of the lock, L0, the button will be pressed. Write an expression for the depth of the lock when the button finally stops, L*. If L* is less than or equal to the rest length of the key, K0, the button will be pressed.
    • https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_Spiral_Physics_-_Calculus_Based_(DAlessandris)/Spiral_Mechanics_(Calculus-Based)/05%3A_Model_4/5.01%3A_New_Page
      Since the point on the pulley attached to the block is accelerating at 0.75 m/s 2 , the block itself must be accelerating at 0.75 m/s 2 . In a nutshell, what we’ve done is used the acceleration of the...Since the point on the pulley attached to the block is accelerating at 0.75 m/s 2 , the block itself must be accelerating at 0.75 m/s 2 . In a nutshell, what we’ve done is used the acceleration of the truck to find the angular acceleration of the pulley, and then used the angular acceleration of the pulley to find the acceleration of the block.
    • https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_Spiral_Physics_-_Calculus_Based_(DAlessandris)/Spiral_Mechanics_(Calculus-Based)/03%3A_Model_2/3.5%3A_Selected_Answers
      2 v1 = 11.2 m/s 4 v1 = 3.28 m/s 5 v1 = 31.4 m/s 6 The ball hits people in the stands behind home plate. (It sails 10.7 m above home plate.) 16 t2 = 40 s a = 0.15 m/s 2 19 t2 = 33.5 s \(\theta\) = 188°...2 v1 = 11.2 m/s 4 v1 = 3.28 m/s 5 v1 = 31.4 m/s 6 The ball hits people in the stands behind home plate. (It sails 10.7 m above home plate.) 16 t2 = 40 s a = 0.15 m/s 2 19 t2 = 33.5 s \(\theta\) = 188° from line initially between ship and man 21 a = 0 m/s 2 22 a = 0.94 m/s 2 26 a = 1.39 m/s 2 down 27 a = 0.84 m/s 2 34 a = 0.73 m/s 2 35 a = 0.66 m/s 2 36 a = 0 m/s 2 v2 = 2.52 m/s b. 45 v2 = 27 m/s 47 v2 = 14.9 m/s 48 v2 = 8.89 m/s 49 v2 = 14.3 m/s 51 v2 = 5.8 m/s 52 v2audi = 12.8 m/s
    • https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_Spiral_Physics_-_Calculus_Based_(DAlessandris)/Spiral_Electricity_and_Magnetism__(Calculus-Based)/7%3A_Electric_Circuits/03._Analysis_Tools_2
      The dashed area is the area over which we will calculate the flux. (The current along the inner wire flows toward the top of the page, resulting in magnetic field pointing directly out of the page in ...The dashed area is the area over which we will calculate the flux. (The current along the inner wire flows toward the top of the page, resulting in magnetic field pointing directly out of the page in the area of interest.) This equation says that the time derivative of the derivative of the current is equal to the product of the derivative of the current and a numerical factor.
    • https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_Spiral_Physics_-_Calculus_Based_(DAlessandris)/Spiral_Electricity_and_Magnetism__(Calculus-Based)/7%3A_Electric_Circuits/04._Activities/XI_-_31
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