Answer:
The mass of the asteroids is 0.000334896182184 times the mass of the Earth.
39929.4542466 m
Explanation:
Total mass of the asteroids

= Mass of Earth = 
The ratio is

The mass of the asteroids is 0.000334896182184 times the mass of the Earth.
Volume is given by

The diameter is 39929.4542466 m
Translation of important question part (Google translation used)
Force of 6N causes a displacement of 0.03m. remove the balance and connect a body 0.5 kg to the end, pull it to move it 0.02 m, release it and see how it oscillates.
(a)Determine the spring constant.
(b)Calculate angular velocity, frequency, and oscillation period
Answer:
(a)K=200 N/m
(b) w= 20 rad/s f=3.2 Hz T=0.3125 s
Explanation:
(a)
From Hooke's law, we deduce that F=kx where F is applied force, k is spring constant and x is extension of the spring. Making k the subject of the formula then k=F/x and substituting F with 6 N and x with 0.03 m then k=6/0.03=200 N/m
(b)
Angular velocity, w is given by
where m is the mass and k is spring constant calculated in part a above. Substituting mass with 0.5 kg and k with 200 N/m then

We know that frequency, f is given by
and substituting 20 rad/s for w then
Finally, oscillation period, T is usually the reciprocal of frequency hence T=1/f and substituting f with 3.2 Hz then T=1/3.2=0.3125 s
The odometer of an automobile measures the distance travelled by the vehicle. the car(b) is moving faster.
This can be explained as follows:
In order to compare the speed of both the vehicles and determine which one is moving faster, the speed of both the vehicles should be represented by the same unit.
Speed of scooter = 300 m/min
Converting this to km/hr,
Distance travelled by the scooter in 1 min= 300 m
Therefore, distance travelled by the scooter in 60min( or 1 hr ) = 18000m = 18 km
Speed of the car= 36 km/hr
Since the car travels a greater distance in 1 hr , we can say that it is moving faster.
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