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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.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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