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Consider two particles of equal mass m. Determine the system mass for each of the following cases.
Assume that the transmission of the van is in neutral, the brakes are not being applied, and the collision is elastic.
A bullet of mass 0.1kg is fired into a block of mass 10kg initially at rest at the edge of a frictionless table of a height 2m.
A pion of mass m moves with a speed u in the positive y direction in frame S with parametrs BETAu = u/c and GAMMAu = (1 - BETAu^2)^-1/2.
Determine the temperature rise that results from the collision in terms of c and the other given quantities.
Use the Lorentz transformations to show that the spacetime interval is invariant ?s'2=?s2 for relative motion along one direction.
Show that the spacetime interval (delta s) is invariant under the lorentz transfermations:
A zero-momentum spinner has a momentum wheel spinning at 5000 rpm. The angular momentum of the wheel is 100 N-m-s.
Two spaceships approach the Earth from opposite directions. According to an observer on the Earth, ship A is moving at a speed of 0.753c
The radar antenna on a navy ship rotates with an angular speed of 0.22 rad/s. What is the angular speed of the antenna as measured by an observer
A softball of mass 0.221 kg that is moving with a speed of 6.5 m/s (in the positive direction) collides head-on and elastically with another ball initially.
What is the angular momentum of the system relative to the center of mass?What is the angular speed about the center of mass after collision?
If a wire is placed next to the face of a permanent magnet and a current sent through the wire, then a Lorentz force is present orthogonal to both the direction
A ball (B) of mass m moves with velocity v relative to an observer (O). The momentum of B relative to O is p=mv according to Newtonian mechanics
A moving shuffleboard puck has a glancing collision with a stationary puck of the same mass. If the friction is negligible, what are the speeds of pucks.
Consider a Schwarzchild black hole of mass M=15Ms where Ms is the mass of the sun.
Give a very brief description of two observational tests of general relativity.
A stone is dropped at t = 0. A second stone, with 3 times the mass of the first, is dropped from the same point at t = 190 ms.
If the lower end of the chute is a vertical distance of 4.00 m above the bottom of the cart, what is the speed of the package just before it lands in the cart?
A 0.30 kg puck, initially at rest on a frictionless horizontal surface, is struck (inelastically) by a 0.20 kg puck that is initially moving along the x-axis.
Prove that the divergence of a tensor T^(ab) is given by
Laura, who’s mass is 35 kg, jumps horizontally off a 55 kg canoe at 1.5 m/s relative to the canoe. What is the canoe’s speed just after she jumps?
A set of quantities , whose inner product with an arbitrary vector (that is, a contravariant tensor of rank one) is a tensor
The big glider with an incident velocity of 2.6 m/s collides with the small glider that is initially at rest. The final velocity of the two gliders.
The following diagram shows two charged spheres arranged to the right of a point in space labelled P.