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1: A projectile is ?red into the air from ground level over level ground. The initial speed of the projectile is 30 m/s and the launch angle of the projectile is 45?. At the highest point in its ?ight the projectile explodes into two pieces of equal mass. Immediately after the explosion one piece has a momentary speed of zero and then falls straight to the ground. Neglect air resistance.
A) Where does the center of mass of the projectile land?
B) Where does the second piece land?
C) What is the speed of the second piece immediately after the explosion?
2: Consider a 1-dimensional collision between blocks of objects of m1 = 2 kg and m2 = 5 kg. The collision occurs along the x-direction Before the collision m1 has an x-component of velocity of 10m/s and m2 has an x-component of velocity of ?6 m/s.
A) Find the x-component of velocity of m2.
B) Find Q for this collision. Recall Ktot,bef - Ktot,aft = Q.
In the x-y plane, a point of +2.6 uC is on the x-axis at (-3 cm, 0), and a second point charge of -3.4 uC is also located on the x-axis, Determine the Work required (in keV) to move an electron from Pa to Pb
A 21.5 g bullet strikes a 0.650 kg block attached to a fixed horizontal spring whose spring stiffness constant is 7.30 x 10^3 N/m and sets it into vibration with an amplitude of 21.5 cm. What was the speed of bullet before impact if the bullet and bl..
Find the coefficient of friction between ax and grindstone.Two negative point charges are separated by 20 rm cm and feel a mutual repulsive force of 3.35 mu N. The charge of one is three times that of the other. How much charge does each have.
While traveling along a level highway at a speed of 27m/s you shift the vehicle into neutral and find it takes 45 second to slow down to 20 m/s mile per hours.
A rope and two masses are suspended from the ceiling of an elevator which is accelerating downward at 2.8 m/s^2. find the tension in the rope connecting the two masses
A 95 long train begins uniform acceleration from rest. The front of the train has a speed of 25 while it passes a railway worker who is standing 170 from where the front of train started. What will be the speed of the last car as it passes the wor..
In a 45° - 90° - 45° prism with a ray of light entering and exiting on the long side of the prism after undergoing two total internal reflections. Determine the minimum index of refraction of the prism in order for this to occur
A vertical spring has one end attached to the ceiling and a 2.50 kg weight attached to the other one. find how fast the weight is moving
A lighthouse sweeps its beam of light around in a circle once every 6.0 s. To an observer in a spaceship moving away from Earth, What is the speed of the spaceship relative to Earth
In the Bohr model of the hydrogen atom, an electron moves in a circular path around a proton. The speed of the electron is approximately 2.19 106 m/s. Find the centripetal acceleration of the electron
An archer fires an arrow horizontally by pulling the bow string back a distance of 0.47 m before releasing the arrow which has a mass of 0.030 kg, how much work does the archer do on the system
A light commuter rail train usually accelerates at a rate of 2.15 m/s^2 and usually decelerates with a rate of 3.20 m/s^2, The train can stop in 10.5 seconds from its top speed in an emergency. How far would it travel during this braking period
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