Answer:
the maximum height reached by the marble is 11.84 m.
Explanation:
Given;
mass of the marble, m = 0.02 kg
extension of the string, x = 0.08 m
force applied to the string, F = 58 N
Apply the principle of conservation of energy;
elastic potential energy = gravitational potential energy
¹/₂fx = mgh

Therefore, the maximum height reached by the marble is 11.84 m.
The total distance covered by the person is 12 times the height of each stair:

The work done by the person to climb the stairs is equal to the increase in his gravitational potential energy:

And therefore, the power generated by the person in 12 s is the work done divided by the time taken:

So, the correct answer is B.
Answer:
Part a)
f = 371.1 Hz
Part b)
f = 417.7 Hz
Part c)
beat frequency = 46.6 Hz
Explanation:
Part a)
Due to doppler's Effect the frequency of the sound heard by the train which is moving away from the observer is given as



Part b)
Now from the second train which is approaching the person we can say



Part c)
As we know that beat frequency is the difference in the frequency from two sources


Earth distance to the Sun is about 40 times the Moon's distance from earth.
<u>Explanation:</u>
- The Earth's distance from the Sun is about 93 million miles. When it expressed in Km, it is 150 million Km.
- The Moon's distance from Earth is 238,855 miles. When it is 40 times then it will approximately equal to 93 million miles.
- The Sun's distance from Venus is 67.237 million miles. The Sun's distance from mercury is 35.832 million miles.
Answer:
Explanation:
Given
mass of projectile 
initial horizontal speed 
height 
Considering vertical motion
velocity gained by projectile during 26.7 m motion

v=final velocity
u=initial velocity
a=acceleration
s=displacement



Horizontal velocity will remain same as there is no acceleration
final velocity 

Initial kinetic Energy 

Final Kinetic Energy 


Work done by all the force is equal to change in kinetic Energy of object
Work done by gravity is 
