as 250 kilotons. That is a staggering explosion, but the asteroid impact that wiped out the dinosaurs was significantly greater. Assume that the asteroid was a sphere 10 km in diameter, with a density of 2500 kg/m³ and moving at 30 km/s. What energy was released at impact, in joules and in kilotons? 73. Il A 2.3 kg box, starting from rest, is pushed up a ramp by a 10 N force parallel to the ramp. The ramp is 2.0 m long and tilted at 17°. The speed of the box at the top of the ramp is 0.80 m/s. Consider the system to be the box + ramp + earth. a. How much work W does the force do on the system? b. What is the change AK in the kinetic energy of the system? c. What is the change AU in the gravitational potential energy of the system?
as 250 kilotons. That is a staggering explosion, but the asteroid impact that wiped out the dinosaurs was significantly greater. Assume that the asteroid was a sphere 10 km in diameter, with a density of 2500 kg/m³ and moving at 30 km/s. What energy was released at impact, in joules and in kilotons? 73. Il A 2.3 kg box, starting from rest, is pushed up a ramp by a 10 N force parallel to the ramp. The ramp is 2.0 m long and tilted at 17°. The speed of the box at the top of the ramp is 0.80 m/s. Consider the system to be the box + ramp + earth. a. How much work W does the force do on the system? b. What is the change AK in the kinetic energy of the system? c. What is the change AU in the gravitational potential energy of the system?
Transcribed Image Text:**Educational Content: Physics - Energy and Work**
**Problem 74: Skateboarder in a Half-Pipe**
A 55 kg skateboarder wants to just make it to the upper edge of a "half-pipe" with a radius of 3.0 m, as shown in Figure P10.74.
**Figure P10.74:**
- The figure illustrates a skateboarder at the bottom of a half-pipe.
- The half-pipe has a curved shape with a radius of 3.0 meters.
- \( v_i \) is the initial speed of the skateboarder at the bottom of the half-pipe pointing upwards.
**Questions:**
a. What initial speed does the skateboarder need at the bottom if he is to reach the upper edge?\
b. If the skateboarder starts from rest in the pipe at the bottom with an initial speed found in (a), what will be the kinetic energy at the bottom?
c. Find the gravitational potential energy at the top of the half-pipe in terms of mgh, where m=mass, g=gravitational constant, h=height.
**Problem 73: Work Done by Forces on a Box**
A 2.3 kg box, starting from rest, is pushed up a ramp by a 10 N force parallel to the ramp and tilted at 17°. The speed of the box at the top of the 2.0 m ramp is 0.80 m/s. Consider the system to be the box + ramp + earth.
**Questions:**
a. How much work \( W \) does the 10 N force do on the system?\
b. What is the change \( \Delta U \) in the gravitational potential energy of the system?\
c. What is the change \( \Delta K \) in the kinetic energy of the system?\
d. What is the change \( \Delta E \) in the thermal energy of the system?
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