Answer:
a) 
b) 
Explanation:
From the exercise we know that



From dynamics we know that the formula for average velocity is:

a) For the three intervals:



b) The average velocity for the entire motion can be calculate by the following formula:

Answer:
3.8 km
Explanation:
Eastern Side Bus
Velocity = 20m/s
Covers distance in 2 min (120sec) = 20×120 = 2400m = 2 km
Western Side Bus
Velocity = 15m/s
Covers distance in 2 min (120sec) = 15×120 = 1800m = 1.8 km
Separation Distance = 2+1.8 = 3.8 km
Answer:
B) both the amplitude of the motion and the weight of the ball
Explanation:
Time period of a pendulum is given by

where,
L = Length of pendulum
g = Acceleration due to gravity
The system here is similar to a simple pendulum
It can be seen that the time period depends on L and g.
Amplitude and weight are the factors that do not determine the time period.
Hence, the answer is B) both the amplitude of the motion and the weight of the ball
Answer:
Explanation:
First of all we shall find out net electric field at q₃ due to both of the remaining charges .
electric field due to charge Q = k Q / r² where k = 9 x 10⁹ Q is amount of charge and r is distance of point
electric field due to charge 105 x 10⁻⁶ C
= 9 x 10⁹ x 105 x 10⁻⁶ / .95²
= 1.047 x 10⁶ N/C .
It will act away from q₂
electric field due to charge 53 x 10⁻⁶ C
= 9 x 10⁹ x 53 x 10⁻⁶ /( .5+.95)²
= 0.227 x 10⁶ N/C .
It will act towards q₁
These fields are in opposite direction so
net field E = 0.82 x 10⁶ N/C.
It will act away from q₂ .
Force on q₃ due to net field
= q₃ E
= 88 x 10⁻⁶ x 0.82 x 10⁶
= 72.16 N
The direction of this field will be towards q₂ because force on negative charge in a field is always in a direction opposite to the direction of the field.
In electrostatics, the electrical force between two charged objects is inversely related to the distance of separation between the two objects. Increasing the separation distance between objects decreases the force of attraction or repulsion between the objects.
hope this helped