Explanation:
Given that,
Length of the spring, l = 50 cm
Mass, m = 330 g = 0.33 kg
(A) The mass is released and falls, stretching the spring by 28 cm before coming to rest at its lowest point. On applying second law of Newton at 14 cm below the lowest point we get :

(B) The amplitude of the oscillation is half of the total distance covered. So, amplitude is 14 cm.
(C) The frequency of the oscillation is given by :

Answer:
35.6 s
Explanation:
The power through the resistor is given by:

where V=9.0 V is the voltage and I=0.50 A is the current. Substituting into the formula, we find

The power is also equal to:

where W is the work done while t is the time taken. Since we know the work done, W=160 J, we can re-arrange the equation to find the time taken:

Answer:

Explanation:
Given:
- mass attached to the rope,

- given time,

function of height of the mass connected via a rope:
differentiate the above eq. with respect to time t gives us the velocity in vertical direction:


put the value of given time:


- As we know form the Newton'a second law of motion that the rate of change in momentum is proportional to the applied force.



The angular speed of the lander must be 3.92 rpm
Explanation:
The (centripetal) acceleration of the lander is given by:

where
is the angular speed
r is the length of the arm
In this problem, we have
r = 7.75 m
(we are told that the acceleration of the lander must be the same as the acceleration due to gravity at the surface of Europa, which is
Therefore we can find the angular speed of the lander:

And keeping in mind that


We can convert this angular speed into rpm:

Learn more about rotational motion:
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