Answer:
35.36776 Hz
Explanation:
B = Magnetic field = 
= Maximum voltage = 20 V
d = Diameter of coil = 40 cm = 0.4 m
A = Area = 
N = Number of turns = 500
= Angular velocity
Maximum emf is given by

The angular velocity would be 35.36776 Hz
a) Answer;
= 6.72 hours
Explanation and solution;
velocity = distance over time
Since we know the velocity and the distance, we can simply calculate time
For the first part
85 km/h = 300km / time
time = 3.53 hours
Then there is a 22 min stop, which is the same as 0.37 hours
so far the trip is:
3.53 + 0.37 = 3.9 hours
then for the last stretch:
78 km/h = 220 km / time
time = 2.82 hours
So the total trip is:
3.9 + 2.82 = 6.72 hours
b) Answer;
= 77.38 km/hr
Explanation and solution;
we take the total distance divided by the total time to get the average.
total distance = 300 km + 220 km = 520 km
total time = 6.72 hours
Average velocity = 520 km / 6.72 hours = 77.38 km/hr
Force of gravity on an object is the weight of the object and is given by mass times accerelation due to gravity. The accerelation due to gravity is the accerelation of an object in free fall and is given by 9.8m/s^2. Given that the force of gravity acting on a child's mass on earth is 490 newtns, i.e. F = mg which means that 490 newtons = 9.8 times mass. Therefore, mass of the child is 490 / 9.8 = 50 kg.
Answer:
1.36m/s
Explanation:
We are given that
Mass of one acrobat,
Mass of another acrobat,


We have to find their velocity immediately after they grab onto each other.
The collision between two acrobat is inelastic
According to law of conservation of momentum

Substitute the values



Answer:

Explanation:
The universal law of gravitation is defined as:
(1)
Where G is the gravitational constant, M and m are the masses of the two objects and r is the distance between them.
The centripetal force can be found by means of Newton's second law:
(2)
Since it is a circular motion, the acceleration can be defined as:
(3)
Where v is the velocity and r is the orbital radius.
Replacing equation (3) in equation (2) it is gotten:
(4)
Hence,
Then, v can be isolated:
So the relationship between speed and orbital radius is given by the expression 