Answer:
2.4 m
Explanation:
Consider the motion along the vertical direction
= initial position of ball above the ground = 4.5 m
= time taken by the ball to hit the smokestack = 0.65 s
= initial velocity of the ball along vertical direction
= acceleration due to gravity = - 9.8 m/s²
= position of ball at the time of hitting the smokestack
Using the kinematics equation
inserting the above values
The farther away an object is from the Sun the slower it orbits around it. The closer an object is from the Sun the faster it orbits around it.
Answer:
Explanation:
From the question we are told that:
Acceleration
Displacement
Initial time
Final Time
Generally the equation for Velocity of 1.05 travel is mathematically given by
Using Newton's Law of Motion
Generally the equation for Distance traveled before stop is mathematically given by
Generally the equation for Distance to stop is mathematically given by
Since For this Final section
Final velocity
Initial velocity
Therefore
Using Newton's Law of Motion
Giving
Therefore
Generally the Total Distance Traveled is mathematically given by
Answer:
Explanation:
This is a recoil problem, which is just another application of the Law of Momentum Conservation. The equation for us is:
which, in words, is
The momentum of the astronaut plus the momentum of the piece of equipment before the equipment is thrown has to be equal to the momentum of all that same stuff after the equipment is thrown. Filling in:
Obviously, on the left side of the equation, nothing is moving so the whole left side equals 0. Doing the math on the right and paying specific attention to the sig fig's here (notice, I added a 0 after the 4 in the velocity value so our sig fig's are 2 instead of just 1. 1 is useless in most applications).
0 = 90.0v - 2.0 and
2.0 = 90.0v so
v = .022 m/s This is the rate at which he is moving TOWARDS the ship (negative was moving away from the ship, as indicated by the - in the problem). Now we can use the d = rt equation to find out how long this process will take him if he wants to reach his ship before he dies.
12 = .022t and
t = 550 seconds, which is the same thing as 9.2 minutes