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**r**(t) = t² i^+ t³ j^ v(t) = 2t i^ + 3t² j^ a(t) = 2 i^ + 6t...3 Answers · Science & Mathematics · 11/11/2019

...5+x)/10 = x/y When y = 3 m, solve this and get x = 2.143 m differentiate w/

**r**/t time, using the quotient rule on the RHS: 0.1 * dx/dt = (1/y²...2 Answers · Science & Mathematics · 07/11/2019

...the car in a circle at any given speed we need a centripetal acceleration of v^2 /

**r**= 4^2/523 To accelerate the car along a path we require an acceleration = dv/dt...1 Answers · Science & Mathematics · 05/11/2019

ac = Vt^2/

**r**= 103^2/106 = 100 m/sec^2 acceleration a = g-ac = 4-100 = 96 m/sec^2 reading = zero2 Answers · Science & Mathematics · 04/11/2019

...and the speed of the center of mass are related by the definition ω = v/

**r**The kinetic energy is the sum of the translational and rotational ...1 Answers · Science & Mathematics · 03/11/2019

...the shortest distance from the axis to our point of interest is

**r**= 6.37 x 10^6 cos45 = 4.50 x 10^6 m The angular velocity of earth is...1 Answers · Science & Mathematics · 31/10/2019

2

**R**above the surface is 3**R**from the center. So the acceleration of gravity is 1/9 of the surface value. Then force = mass * acceleration = 1950 * (9.80665 / 9) = 2124 newtons.1 Answers · Science & Mathematics · 29/10/2019

...do this. You take Newton's law of gravity g2 = g * (Re /

**R**)^2 And Newton's description of circular motion. a = w^2**R**...6 Answers · Science & Mathematics · 27/10/2019

...moment of inertia in kg•m²I = cMR² M is mass (kg),

**R**is radius (meters) c = 1 for a ring or hollow cylinder c = 2/5...1 Answers · Science & Mathematics · 20/10/2019

...see http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/curloo.html#c3 with z =

**R**. Simplifying gives: B = μ₀R²I/(2(R²...2 Answers · Science & Mathematics · 18/10/2019