Answer:
a) w = 7.27 * 10^-5 rad/s
b) v1 = 463.1 m/s
c) v1 = 440.433 m/s
Explanation:
Given:-
- The radius of the earth, R = 6.37 * 10 ^6 m
- The time period for 1 revolution T = 24 hrs
Find:
What is the earth's angular speed?
What is the speed of a point on the equator?
What is the speed of a point on the earth's surface located at 1/5 of the length of the arc between the equator and the pole, measured from equator?
Solution:
- The angular speed w of the earth can be related with the Time period T of the earth revolution by:
w = 2π / T
w = 2π / 24*3600
w = 7.27 * 10^-5 rad/s
- The speed of the point on the equator v1 can be determined from the linear and rotational motion kinematic relation.
v1 = R*w
v1 = (6.37 * 10 ^6)*(7.27 * 10^-5)
v1 = 463.1 m/s
- The angle θ subtended by a point on earth's surface 1/5 th between the equator and the pole wrt equator is.
π/2 ........... s
x ............ 1/5 s
x = π/2*5 = 18°
- The radius of the earth R' at point where θ = 18° from the equator is:
R' = R*cos(18)
R' = (6.37 * 10 ^6)*cos(18)
R' = 6058230.0088 m
- The speed of the point where θ = 18° from the equator v2 can be determined from the linear and rotational motion kinematic relation.
v2 = R'*w
v2 = (6058230.0088)*(7.27 * 10^-5)
v2 = 440.433 m/s
Speed of car A is given as

now we need to convert it into SI units
1 miles = 1609 m
1 hour = 3600 s
now we have

now its distance from Bambi is given as

time taken by it to hit the Bambi



Now other car is moving at speed 50 mph
so its speed in SI unit will be


now its distance from Bambi is given as

as we know that 1 feet = 0.3048 m

now the time to hit the other car is


So Car B will hit the Bambi first
A- PRICE
B-QUANTITY
C-SUPPLY
D-DEMAND
E-EQUILIBRIUM POINT
Explanation:
It is the Supply Demand curve in Economics. It gives relationship between price and quantity
It is described as having a marshy surface where mosses, lichens, berries and low shrubs grow with mucky soil and permafrost underneath. This is a term use to describe an ecological community in which moisture and temperature are high. This is a northern hemisphere habitat with wet soil.
Answer:
21000 N
Explanation:
From the question given above, the following data were obtained:
Change in momentum = 105000 kg.m/s
Time = 5s
Force =?
Force is related to momentum and time according to the following formula:
Force = Change in momentum / time
With the above formula, we can calculate the force the white car experience during the collision. This can be obtained as illustrated below:
Change in momentum = 105000 kg.m/s
Time = 5s
Force =?
Force = Change in momentum / time
Force = 105000 / 5
Force = 21000 N
Thus, the white car experience a force of 21000 N during the collision.