Answer:
4. both blocks will both have the same amount of kinetic energy.
Explanation:
When the blocks are released free from the compression force, the spring exerts equal and opposite force on each block but the block with heavier (double) mass will attain slower ( half ) speed as compared to the lighter block according to the law of inertia. This works in synchronization to energy conservation.
Spring force is given as:
where: length of compression in the spring
<u>We know kinetic energy is given by:</u>
Hence the kinetic energy of both the blocks is equal when they are released to move free.
The final velocity before takeoff is 104.96 m / s.
<u>Explanation:</u>
The last velocity of a given object over some time defines the final velocity. The final velocity of the object is given by the product of acceleration and time and adding this product to the initial velocity.
To calculate the final velocity,
V = u + at
where v represents the final velocity,
u represents the initial velocity,
a represents the acceleration
t represents the time taken.
v = 104.96 m / s.
Answer:
i.e.
Explanation:
Given:
angular speed,
mass of the disk,
radius of the disk,
mass of the chunk,
radius of the chunk,
We know that the angular momentum is given by:
and moment of inertia for a disc:
According to the conservation of angular momentum, the final angular momentum is equal to the initial angular momentum.
Answer:
<em>The glider's new speed is 68.90 m/s</em>
Explanation:
<u>Principle Of Conservation Of Mechanical Energy</u>
The mechanical energy of a system is the sum of its kinetic and potential energy. When the only potential energy considered in the system is related to the height of an object, then it's called the gravitational potential energy. The kinetic energy of an object of mass m and speed v is
The gravitational potential energy when it's at a height h from the zero reference is
The total mechanical energy is
The principle of conservation of mechanical energy states the total energy is constant while no external force is applied to the system. One example of a non-conservative system happens when friction is considered since part of the energy is lost in its thermal manifestation.
The initial conditions of the problem state that our glider is glides at 416 meters with a speed of 45.2 m/s. The initial mechanical energy is
Operating in terms of m
Then we know the glider dives to 278 meters and we need to know their final speed, let's call it . The final mechanical energy is
Operating and factoring
Both mechanical energies must be the same, so
Simplifying by m and rearranging
Computing
The glider's new speed is 68.90 m/s