A cannonball with a mass of 1.0 kilogram is fired horizontally from a 500-kilogram cannon, initially at rest, on a horizontal, frictionless surface. The cannonball is acted on by an average force of 8000 newtons for 0.1 second. What is the magnitude of the change in momentum of the cannonball during firing? a. 0 kg•m/s b. 800 kg•m/s c. 8000 kg•m/s d. 80000 kg•m/s Use the following information to answer the two questions that follow. The data table below lists the mass and speed of four different objects. 2. Which object has the greatest inertia? a. A b. B c. C d. D 3. Which object has the greatest momentum? a. A b. B c. C d. D
To find the magnitude of the change in momentum of the cannonball during firing, we can use the formula:
Change in momentum = force x time
Given that the force acting on the cannonball is 8000 N and the time is 0.1 s, we can substitute these values into the formula:
Change in momentum = 8000 N x 0.1 s = 800 kg•m/s
Therefore, the magnitude of the change in momentum of the cannonball during firing is 800 kg•m/s. The correct answer is option b.
To answer question 2, we need to understand that inertia is the resistance of an object to changes in its state of motion. In other words, it is related to an object's mass. The object with the greatest mass will have the greatest inertia. From the given data table, we can see that object D has the greatest mass (10 kg), so the correct answer to question 2 is option d.
To answer question 3, we need to understand that momentum is calculated by multiplying an object's mass by its velocity. From the given data table, we can see that object B has the greatest mass (6 kg) and the greatest velocity (10 m/s). Therefore, the object with the greatest momentum is object B. The correct answer to question 3 is option b.