Answer :
(A) Time period sec
(B) Angle is independent of weight.
Explanation:
Given :
Length of fastened arm m
Length of cable m
(A)
Time of one revolution is
Total radius of circle is m
Total force in horizontal direction X- direction
Since
Total force in Y - direction,
Comparing both equation,
Where
So time period,
s
(B)
Mass is cancelled out, so the angle is independent of weight.
Answer:
Power, P = 350 watts
Explanation:
It is given that,
Mass of the person, m = 70 kg
Speed of the person, v = 5 km/h = 1.388 m/s
It is assumed that the metabolic power required is equal to that required for walking on a flat surface plus the rate of doing work for the vertical climb. Let P is the power required. It can be calculated as :
Since,
Here,
P = 47.60 watts
It can be assumed that, the required power to walk is 300 W. So,
P = 300 W + 47.60 W
P = 347.6 W
or
P = 350 W
So, the power required is 350 watts. Hence, this is the required solution.
Conservation of momentum requires that the sum of momenta after is equal to that before. Since initially nothing is moving, the sum after the shot will also add to zero.
m₁v₁ = -m₂v₂
Solve for the cannon's velocity v₁
v₁ = -m₂v₂/m₁ = -2.10m/s
The negative sign means it's moving 2.10m/s south.
So we want to know how to write the number 0.0003711 in scientific notation. Scientific notation is the way scientist write very big and very small numbers with the powers of 10. It is used to simplify writing of those numbers. So 0.0003711 is 3.711*10^-4.
The information they already have, what they know and what they see