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A star having rotational inertia of
48 2 10 10 kgm
is rotating at an angular speed
of 2.0 revolutions per month about its axis. The only force on it is the force of
gravitation. When its nuclear fuel is exhausted, it shrinks to a neutron star
having rotational inertia of
48 2 6.0 10 kgm .
Determine the angular speed
of the neutron star in revolutions per month.
Consider the two pucks shown in the figure. As they move towards each other, the momentum of each puck is equal in magnitude and opposite in direction. Given that vi, green = 8.0 m/s, and mblue is 15.0% greater than mgreen, what are the final speeds of each puck (in m/s), if 1/2 the kinetic energy of the system is converted to internal energy?
A proton, moving with a velocity of viî, collides elastically with another proton that is initially at rest. Assuming that after the collision the speed of the initially moving proton is 2.40 times the speed of the proton initially at rest, find the following.
(a) the speed of each proton after the collision in terms of vi
initially moving proton__ x vi
initially at rest proton__ x vi
(b) the direction of the velocity vectors after the collision (assume that the initially moving proton scatters toward the positive y direction)
initially moving proton ___°relative to the +xdirection
initially at rest proton ___°relative to the +xdirection
Gauge length prior to starting =50mm
Length after fracture =66.4mm
0.1% proof load=18.5kn
Maximum load=26.6kn
Original diameter =10mm
Calculate using the above data the
2. 0.1 proof stress
3. Tensile strength
A stone is thrown vertically up with an initial velocity of 4.9 m/s from the top of a building that is 52 m high. On its way down , it misses the top of the building and goes straight to the ground. Find a.) maximum height reached b.) maximum height reached relative to the ground and its velocity when it strikes the ground if the time of flight is 3.8 s.
SA13. A basketball player throws a desperation shot at the buzzer from the backcourt 1.0 second before the game ended with the score tied. If the ball was released at a velocity of 12.0 m/s at an angle of 38O and if the release was made at the same level as the basket from a distance of 14.2 m, did he score? Why?
SA12. Illustrate the path of a projectile launched at a velocity of 150.0 m/s at an angle of 50O with the horizontal and find, illustrate, and label the following in the same illustration you have. a. The viy of the projectile
b. The vix of the projectile
c. Its vy 2.0 seconds after it was launched
d. Its vf based on letter c
e. Its maximum height (𝐦𝐚𝐱 𝐝𝐲 ↑)
f. The time it will reach a height of 3.0 m (𝒕 ↑)
g. Its position/location 4.0 seconds of its flight (𝐝𝐲 ↑)
h. Its range ( R )
A chopper drops boxes of relief goods to a group of people stranded in an island. The goods were released 20.0 m above the sea and landed 40.0 m from a point exactly below where the goods were released. What was the velocity of the goods when they were released? What was the velocity of the chopper?
A position function of a moving particle is given as a function of time, ~r(t) = (2t 2 + 3t)ˆi + (5t 3 + 2t)ˆj m. (1) (a) What is the average velocity between time t1 = 2 s and t2 = 5 s? (b) What is the average acceleration between time t1 = 2 s and t2 = 5s? (c) What is the instantaneous acceleration of the particle at t2 = 5 s?
The positions of three particles a, b, and c in a 2-D Cartesian coordinate system are given by the coordinates (3, 2), (-4, 3), and (5, -2) respectively. (a) Find the position vectors of each of the particles ~ra, ~rb , and ~rc respectively in unit vector notation along with their magnitudes. (b) If R~ is the resultant of the three vectors, then find out the magnitude and direction of the resultant vector R~ with respect to the positive x-axis. (c) Calculate the angle between the resultant vector R~ and the position vector of Particle c, ~rc.
