Consider a 0.05 kg stick of dynamite that is launched vertically upward. At its apex, the dynamite explodes into two unequal chunks of 0.01 kg and 0.04 kg. You know a couple of things: that the larger chunk is moving vertically downward immediately after the explosion, that 5200 J of thermal energy is generated during the explosion, and that 9900 J of potential energy is lost during the explosion. What must be the magnitude of the smaller chunk’s velocity immediately after the explosion?

A roller coaster design is presented to you where the maximum speed of the car will be 9.00 meters per second and the highest point of the tracks is 5.099 meters above the lowest point.  Do you accept or reject the design?  Use conservation of energy to justify your decision.

A 79 kg bike racer climbs a 1100m long section of road that has a slope of 4.3∘.  By how much does his gravitational potential energy change during this climb? Express your answer with the appropriate units

Scenario: Some Marines are lowering a 170 kg sled loaded with ammunition down a hill, when the rope breaks and the sled begins sliding uncontrolled. Beginning with a speed of 1.9 m/s, the sled loses 4.3 meters of elevation before coming to a stop. Question: How much thermal energy (in joules) was generated in the sled and the hill during the slide?

The figure below shows a plot of potential energy U versus position x of a 0.76 kg particle that can travel only along an x axis. (Nonconservative forces are not involved.) In the graphs, the potential energies are UA = 20.0 J, UB = 35.0 J, and Uc = 45.0 J. Uc UB UA 4 х (m) The particle is released at x = 4.5 m with an initial speed of 6.0 m/s, headed in the negative x direction. (a) If the particle can reach x = 1.0 m, what is its speed there, and if it cannot, what is its turning point? m (b) What are the magnitude and direction of the force on the particle as it begins to move to the left of x = 4.0 m? magnitude direction +X Suppose, instead, the particle is headed in the positive x direction when it is released at x = 4.5 m at speed 6.0 m/s. (c) If the particle can reach x = 7.0 m, what is its speed there, and if it cannot, what is its turning point? m (d) What are the magnitude and direction of the force on the particle as it begins to move to the right of x = 5.0 m? magnitude…

When its 75-kW (100-hp) engine is generating full power, a small single engine airplane with mass 700 kg gains altitude at a rate of 2.5 m/s (150 m/min, or 500 ft/min). What fraction of the engine power is being used to make the airplane climb (the rest is used to overcome drag and friction)?

Given: A shooting guard throws a basketball m = 1 kg straight up with an initial speed of v0 = 5.5 m/s. He releases the ball at shoulder height h0 = 1.95 m. Let gravitational potential energy be zero at ground level. Give the total mechanical energy of the ball E in terms of maximum height hm it reaches, the mass m, and the gravitational acceleration g.  What is the height, hm in meters?

calculate the train's final speed and energy lost with these numbers.  A train car hits a three-car train; together, it becomes a four-car train. The mass of each train car is 40*103 kg. The initial speed of the single car is 3.3 m/s. The initial speed of the three-car train is 1.8 m/s.

Hi please help with the following: After hitting a long fly ball that goes over the right fielder's head and lands in the outfield, the batter decides to keep going past second base and try for third base. The 59 kg player begins sliding 3.40 m from the base with a speed of 4.35 m/s. If the player comes to rest at third base, how much work was done on the player by friction?

A roller coaster has 800,000 Joules of kinetic energy and is moving with a speed of 40 m/s. VWhat is the mass of the roller coaster in kg? PLEASE USE COMMAS IN YOUR ANSWERS IF NEEDED! The formula for kinetic energy is: KE = 1/2 mv2 V = velocity = distance/time DON'T FORGET SIG FIGS! « Previous 90°F Partly