Answer:
The time needed is
Explanation:
From the question we are told that
The magnitude of the stimulated acceleration due gravity is
The diameter of the spaceship is
Generally the force acting on the spaceship is
Given that the spaceship is rotating it implies that the force experienced by the occupant is a centripetal force so
Thus
=>
Generally the speed of this spaceship is mathematically represented as
=>
=>
=>
=>
substituting values
Electric generator is a device that converts mechanical energy obtained from an external source into electrical energy as an output. It was discovered that the above flow of electric charges could be induced by moving an electrical conductor such as a wire that contains electric charges in a magnetic field
Answer:
The change in momentum is
Explanation:
From the question we are told that
The time taken for the stone to stop is
The net force on the rock is
The impulse of the rock can be mathematically represented as
Substituting values
Now impulse is defined as the rate at which momentum change
Hence the change in momentum of the rock is equal to the impulse of the rock
So
Answer:
Explanation:
In order to solve this problem, we can do an analysis of the energies involved in the system. Basically the addition of the initial potential energy of the spring and the kinetic energy of the mass should be the same as the addition of the final potential energy of the spring and the kinetic energy of the block. So we get the following equation:
In this case, since the block is moving from rest, the initial kinetic energy is zero. When the block loses contact with the spring, the final potential energy of the spring will be zero, so the equation simplifies to:
The initial potential energy of the spring is given by the equation:
the Kinetic energy of the block is then given by the equation:
so we can now set them both equal to each other, so we get:
This new equation can be simplified if we multiplied both sides of the equation by a 2, so we get:
so now we can solve this for the final velocity, so we get: