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1.) You are playing with carts in lab. while your lab instructor isn't looking, you carefully attach a spring-loaded plunger on the end of a 0.25kg cart and push it at a velocity of +20m/s relative to the earth. It collides with a 0.5kg cart traveling at +10m/s relative to the earth. the collision triggers the plunger, causing an explosive collision between them. If you know the system's kinetic energy is increased by 25% in the collision in the earth's frame of reference, what are the final velocities of the carts in this reference frame?
2.) You and your friends are playing soccer. Your friend kicks a soccer ball at 8m/s toward you. Instead of kicking it like normal, you decide to kick a slightly larger ball at it to make it reverse directions. They hit head on with a coefficient of restitution of .9.
a.) If the soccer ball has an inertia of 600g, how fast would the larger, 750g, ball have to be traveling to exactly reverse the soccer ball's velocity?
b.) What is the initial relative velocity of the two objects?
c.) What percentage of the original kinetic energy is convertible to some other form?
d.) What are the final velocities of both of the balls immediately after the collision?
A crate of mass 45.0 kg is being transported on the flatbed of a pickup truck. The coefficient of static friction between the crate, What is the acceleration of the crate relative to the ground
Define damped and undamped vibration - damped and undamped vibration of simple harmonic motion in physics.
At t = 0, a stone is dropped from a cliff above a lake; 1.8 seconds later another stone is thrown downward from the same point with an initial speed of 37 m/s. Both stones hit the water at the same instant. Discover the height of the cliff.
Visible light (wavelength 400 - 700 nm) passes through a diffraction grating with 5000 lines/cm and illuminates a wall 5.0 m away. How wide (linear distance) is this order spectrum on the wall
Suppose you throw a rock from an initial height h0 at a speed v0 and angle ? from the horizontal. Neglect drag or friction, Determine the coordinate system and draw a diagram of the trajectory. Draw the free-body diagram and find the net force
What are magnitude and direction of the force
Two tiny, spherical water drops, with identical charges of -7.20 x 10-17 C, have a center-to-center separation of 1.4 centimeter. Find the magnitude of the electrostatic force acting between them
A ball rolls down a hill. What causes constant acceleration down the hill? What determines how much acceleration there is (is the angle/incline of the hill a factor)
A positive charge of 4.40 µC is fixed in place. From a distance of 4 centimeter a from the fixed positive charge, Evaluate what is the speed of the +3.20 µC when it is 7.90 centimeter away from the fixed positive charge
A battery is connected in series with a R = 0.31 ? resistor and an inductor, as shown in the figure below. The switch is closed at t = 0. The time constant of the circuit is ? = 0.20 s, and the maximum current in the circuit is I = 7.9 A.
Suppose a string of length l under a certain tension has a fundamental frequency of 120 Hz. what is the new fundamental frequency
A glass of water is left sitting out in the kitchen. It contains 100g of ice and 400g of water. How much ice melts? Did the entropy of the system increase or decrease? How do you know?
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