Answer:

Explanation:
Height of the cliff is given as

now the time taken by the diver to hit the surface is given as



Now in the same time it has to cover a distance of 13.39 m
so the speed in horizontal direction is given as



Answer: Option (A) and (D) are the correct statements.
Explanation:
Potential energy is defined as the energy obtained by an object due to its position. Whereas kinetic energy is defined as the energy obtained by an object due to the motion of its molecules.
When there will be only one phase present then addition or removal of energy will lead to change in kinetic energy of the substance but no change in potential energy will take place.
Whereas if change in phase is occurring then adding or removing any energy will lead to change in potential energy of the substance while kinetic energy will remain the same.
Thus, we can conclude that correct statements are as follows.
- While only one phase is present, adding or removing energy changes PE but not KE.
- During a phase change, adding or removing energy changes PE but not KE.
Answer:

Explanation:
We know that weight of an object on Earth is,

Thus,

where,
m = mass of an object, which is constant and is independent of gravity
g = acceleration due to gravity on Earth
On the new planet, gravity = a
Thus the weight of the object on the new planet will be


Answer:
To=20.44 °C
Explanation:
Given that
Velocity , v= 30 m/s
Temperature , T= 20°C
We know that specific heat capacity for air ,Cp=1.005 kJ/kg.K
By using energy conservation ,the stagnation temperature is given as

Now by putting the values in the above equation we get

To= 293.44 K
To= 293.44 - 273 °C
To=20.44 °C
Therefore the stagnation temperature will be 20.44 °C.
The maximum displacement angle of the bob is 13⁰.
The given parameters;
- <em>Length of the pendulum, L = 1.25 m</em>
- <em>Initial velocity of the bob, v = 0.8 m/s</em>
The maximum displacement of the bob is calculated by applying the principle of conservation of energy;

The maximum displacement angle is calculated as follows;

Thus, the maximum displacement angle of the bob is 13⁰.
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