Answer: The height (position) of the ball and the acceleration due gravity
Explanation:
In this case we are taking about gravitational potential energy, which is the energy a body or object possesses, due to its position in a gravitational field. In this sense, this energy depends on the relative height of an object with respect to some point of reference and associated with the gravitational force.
In the case of the Earth, in which the gravitational field is considered constant, the gravitational potential energy 
will be:
Where:
is the mass of the ball
is the acceleration due gravity (assuming the ball is on the Earth surface)
is the height (position) of the ball respect to a given point
Note the value of the gravitational potential energy is directly proportional to the height.
Answer:
The box displacement after 6 seconds is 66 meters.
Explanation:
Let suppose that velocity given in statement represents the initial velocity of the box and, likewise, the box accelerates at constant rate. Then, the displacement of the object (
), in meters, can be determined by the following expression:
(1)
Where:
- Initial velocity, in meters per second.
- Time, in seconds.
- Acceleration, in meters per square second.
If we know that 
, 
and 
, then the box displacement after 6 seconds is:
The box displacement after 6 seconds is 66 meters.
K.E. increases by 9 times
Explanation:
The kinetic energy of a car is given by:
where
m is the mass of the car
v is its speed
From this definition, we see that the kinetic energy depends on the square of the velocity. Assuming that both cars have same mass, m, the kinetic energy of the first car is:
while the kinetic energy of the second car is
if we calculate the ratio, we get
Answer:
option (1)
Explanation:
fundamental frequency of open pipe, fopen = v/2L
fundamental frequency of closed pipe, f closed = v / 4L
By dividing both of them
f open = 2 x f closed
f open = two times f closed
f closed = 1 / 2 x f open
