Two identical steel balls, each of diameter 24.8 mm and moving in opposite directions at 4 m/s, run into each other head-on and bounce apart. prior to the collision, one of the balls is squeezed in a vise precise measurements are made of the resulting amount of compression. the results show that hooke's law is a fair model for the ball's elastic behavior. for one datum, a force of 25 kn exerted by each jaw of the vise results in a 0.5-mm reduction in the ball's diameter. the diameter returns to its original value when the force is removed. modeling the ball as a spring, find its spring constant.

Mass (kg) force (n) 5 25 10 50 15 75 20 100 a student was trying to find the relationship between mass and force. he placed four different masses on a table and pulled them using a spring scale. the table shows the different masses used in the experiment and the force required to pull each mass. the student concluded that more force was required to pull heavier objects. what comment would you make regarding his conclusion? a) no clear relation can be observed between mass and force from the data. b) there is a direct proportion between the mass and force listed in the table. c) gravity should have been taken into account while performing the experiment. d) there is an inverse proportion between the mass and force listed in the table.

The mass of a bowling ball is 10 kg and the mass of a ping pong ball is 0.015 kg. if the two objects are 5 meters apart, what is the gravitational force ?

Air conditioners not only cool air, but dry it as well. suppose that a room in a home measures 5.0m×9.0m×2.4m . if the outdoor temperature is 30 ∘c and the vapor pressure of water in the air is 85 % of the vapor pressure of water at this temperature, what mass of water must be removed from the air each time the volume of air in the room is cycled through the air conditioner? the vapor pressure for water at 30 ∘c is 31.8 torr.