The power rating on the motor is the maximum power it's ABLE to deliver. It can run with LESS power output than the rating, but if you try to run it with MORE than it's rated, the motor will overheat and eventually burn out.
" 10 watts " means " 10 Joules of enrgy per second ".
If the motor is operated at its full maximum rated capacity, then
(500 joules) / (10 joules/sec) = 50 seconds
Inertia is a property of an object that resists changes in motion, and its quantity is directly proportional to the object's mass. Therefore, a shopping cart full of groceries, having a greater mass, will exhibit more inertia than an empty shopping cart.
In physics, inertia refers to the tendency of an object to resist changes in its motion. The greater an object's mass, the greater its inertia, making it harder to start or stop its movement. In comparing a shopping cart full of groceries and an empty one, the cart full of groceries will have a higher mass, thus a greater inertia.
Consider an experiment where you exert the same amount of force on both carts. The full cart would be more resistant to change in motion and would move slower or a shorter distance than the empty one due to the higher inertia it possesses.
The same principle can be applied to a group of students using two carts (A and B) for a one-dimensional collision experiment. Cart B with unknown mass is initially at rest while cart A with known mass moves towards it. Since mass directly influences inertia, if cart B was loaded with materials (like a shopping cart full of groceries), it would be harder to shift its motion than if it were empty.
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