Answer:
Maximum speed of the coin, v = 0.607 m/s
Explanation:
It is given that,
A coin rests on a record 0.13 m from its center i.e. the radius of the circular path, r = 0.13 m
The coefficient of static friction between the coin and the record is, 
The centripetal force acting on the coin is balanced by the frictional force. Its mathematical relation is given by :



v = 0.607 m/s
So, the maximum coin speed at which it does not slip is 0.607 m/s. Hence, this is the required solution.
Answer:
Mass of star is
kg.
Explanation:
The cube of orbital radius is equal to the square of its orbital time period is known as Kepler's law.
.....(1)
Here T is time period, r is orbital radius, G is universal gravitational constant and M is the mass of the star.
According to the problem,
Time period, T = 109 days = 109 x 24 x 60 x 60 s = 9.41 x 10⁶ s
Orbital radius, r = 18 AU = 18 x 1.496 x 10¹¹ m = 2.70 x 10¹² m
Gravitational constant, G = 6.67 x 10⁻¹¹ m³ kg⁻¹ s⁻²
Substitute these values in equation (1).

M =
kg
Answer:
60 kWh
Explanation:
The computation of the annual energy consumption in KW-h is shown below:
As we know that
1 kw = 1000 w
So, for 1400 W it would be
= 1,400 ÷ 1,000
= 1.4 kW
Now the number of hours it used in a year
= 7 minutes × 365 days ÷ 60 minutes
= 42.58333 hours
So in one year it used
= 1.4 kW × 42.58333
= 59.61 kWh
= 60 kWh
as it is given that it covers a total distance 1 * 10^2 m
total time taken by it = 13.6 s
now the average speed is given as ratio of total distance and total time



so the average speed will be 7.35 m/s
now if it starts from rest and achieve the final speed as 7.35 m/s
now we can use kinematics



so its acceleration will be 3.68 m/s^2
lf a heavy point mass is suspended by a weightless, inextensible and perfectly flexible string from a rigid support, then this arrangement is called simple pendulum.
In practice, however, these requirements cannot be fulfilled. So we use a practical pendulum.
A practical pendulum consists of a small metallic solid sphere suspended by a fine silk thread from a rigid support. This is the practical simple pendulum which is nearest to the ideal simple pendulum.
Note :
The metallic sphere is called the bob.
When the bob is displaced slightly to one side from its mean position and released, it oscillates about its mean position in a vertical plane.