Mechanics | Relativity Answers

a satellite is to be put into orbit 500km above the earths surface.if its vertical velocity after launching is 2000m/s at this height calculate the magnitude and direction of the impulse required to put the satellite directly into its orbit,if its mass is 50kg

A baseball with a mass of m = 0.145 kg moves with a initial velocity of 40 m/s towards a batter on home plate. The batter swings a bat of mass M = 1 kg and length L = 1 m through an angle of 90 degrees in 0.04s, stricking the ball head-on near the then end of the bat.
a) What is the relative velocity of the end of the bat with respect to the baseball the instant before the two collide? Treat the angular velocity of the bat as constant during the swing.
b) Experts estimate that the furtherse a baseball can be struck by a human is roughly 145 m. Assume the velocity of the struck ball makes and angle of 45 degrees above the horizontal and starts 1.5m above the ground. What is the speed of the ball just after it is struck?

the hulk kicks a soccer ball off with an initial velocity of 84m/s (30 degrees universe horizontal.
A. What is the balls horizontal velocity?
B. What is the balls flight time?
C. What is the balls maximum height?
D. How far forward does the ball hit the ground?
E. What is the balls velocity when it hits the ground?

We dont feel earth rotation because we all are moving with same velocity as earth is
But in routine life we move on different paths i.e. we unknowingly move against direction of spinning og earth what happens i mean that i am moving against direction of spinning of earth then what we feel rest or motion

Relation between torque and angular accelerations.

a fisherman sailed farther to sea to find a good catch. He sailed directly east for 55.3 km. Then he sailed Northeast for 25.0 km. From that point. He continued sailing toward a straight path and found himself 200 km. East from his original posisition.

Since Earth is spinning, why do we land in the same place when we jump or fall?
This question has ans on many sites but i feel confused by those ans because they say 2 things
That we move along with earth in air too
But about air resistance and how air moves along earth
So pls explain the above quest in a much easy manner with considering air resistance

A car starts moving along a line first with acceleration a=5ms-2 starting from rest then uniformly and finally decelerating at same rate a and comes to rest.The total time of motion is 25s.The average speed during time is 20 ms-1. How long does particle move uniformly?

if your in the bed of a truck doing 50 mph and you throw a baseball from the Back of the truck and you throw a 50 mph pitch is the Baseball traveling at 100 mph?

A student throws balls outside the window at all possible directions with speed u. The pebbles hit the ground with an angle theta with the horizontal. Deduce the expression for the height of projection above ground level. According due to gravity is g