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Question: 1. The constant of gravitation G is defined by
F = G mM F = G m1m2 r2 r2
Where F is the gravitational force between two masses m1 and m2 whose centers of mass are a distance r apart. Find the dimensions of G and its units in both SI and Imperial units
2. Assuming the period of oscillation of a simple pendulum τ to depend on the mass of the object, the length of the pendulum l, and the acceleration due to gravity g, use the theory of dimensional analysis to show that the mass of the object is not, in fact, relevant. Then find a suitable expression for the period of oscillation in terms of the other variables.
An object, oscillating harmonically in the x-coordinate, follows a trajectory described by the following equation: x(t) = 3.83 cm *sin(4.18 s-1 *t). What is the maximum speed attained by the object
Find the steady solution for the nutation angle of 30 degrees and compare to a simulation of this case
The person shown below is pushing on a refrigerator that sits on a level floor. Assume the floor is very slippery so that the only horizontal force on the refrigerator is due to the person. find the magnitude of the refrigerator's acceleration
A photon is emitted from a light bulb located 2 m above the floor. The photon travels in a straight line shown with the dashed arrow in the diagram below. The angle among the photon’s path and the wall is 65 degrees.
What is the density of Neon gas at standard temperature and pressure? The atomic mass of Neon is 20.18 atomic mass unit
A rock is thrown from the edge of a cliff to theground 16.0 m below. The rock has an initial velocity of 18.5 m/s, directed 40.0° above the horizontal.
A 0.045kg ball is propelled by a 2.15kg racquet from rest to a speed of 50.0m/s. If the two objects are in contact for 220ms, calculate the average force exerted by the racquet on the ball
A large fake cookie sliding on a horizontal surface is attached toone end of a horizontal spring with springconstant k =440 N/m; How far will the cookie slide from the equilibrium position beforecoming momentarily to rest
What is the density of the Applewood if a piece of 10cm^3 of Applewood has a mass of 7.45g?
A projectile is fired with an initial speed of 29 m/s at an angle of 54° above the horizontal. The object hits the ground 6.8 s later. What are the magnitude and direction of the projectile's velocity
The maximum transverse acceleration of a point at the middle of the segment is 8800 m/s^2 and the maximum transverse velocity is 3.50m/s.
An object is 23.0cm from the center of a silvered spherical glass Christmas tree ornament 6.50cm in diameter. What is the magnification of its image
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