2. An aspiring juggler realizes that the acceleration due to gravity can be measured simply by comparing the time interval an object spends above a certain height when tossed vertically upwards to the total time it is in the air. Suppose she tosses a small ball vertically upwards and catches it a moment later (after a time ∆T elapses) at the same height it was released. In flight, the ball spends a time interval ∆t above a certain height H (where H is smaller than the maximum extent of its vertical displacement). Determine an expression for the acceleration due to gravity in terms of ∆T, ∆t, and H.
Please I need help with this problem and make sure you show the work in step by step solution and please make it clear so i can read it
2. An aspiring juggler realizes that the acceleration due to gravity can be measured simply by...
2: For this problem the heights are low enough that the acceleration due to gravity can be approximated as -g. (Note: even at low Earth orbit, such as the location of the International Space Station, the acceleration due to gravity is not much smaller then g. The apparent weightlessness is due to the space station and its occupants being in free-fall.) A rocket is launched vertically from a launchpad on the surface of the Earth. The net acceleration (provided by...
Note: Show this using kinematic equations, please. The acceleration due to gravity g near the surface of the Earth can be measured by projecting an object vertically upward and measuring the time that it takes to pass two given points in both directions. See the diagram below. Notice that the horizontal axis is time not position the path of the object is purely along a straight, vertical line. Show that if the time the body takes to pass a horizontal...
The acceleration of gravity can be measured by projecting a body upward and measuring the time that it takes to pass two given points in both directions. Show that if the time the body takes to pass a horizontal line A in both directions is TA, and the time to go by a second line B in both directions is TB, then assuming that the acceleration is constant, its magnitude is g = 8h / ((TA)2 - (TB)2) where h...
a stone is thrown vertically upwards with an initial speed of u, its vertically displacement s after an elapsed time t is given by the formular s= ut - gt^2/2 where g is the acceleration due to gravity air resistance is ignored, calculate the value of s over a period of 12.3 seconds at intervals of 0.1 seconds . and plot the distance time graph over this period by writing matlab/ octave code that implements and solves rhis problem.
1. Constant Acceleration – 1. Constant Acceleration - 1 g Spaceship. Imagine that a spaceship can accelerate (starting from rest) at a sustained 1 g (9.8 m/sec2) for any desired length of time. Make a table as follows Veloci m/sec km/sec Distance Traveled meters kilometers millions of kilometer billions of kilometers billions of kilometers Elapsed time 1 minute our 1 day 1 week(7 days) 1 month (30 days) km/sec km/sec For each listed time, calculate both the attained velocity and...
1. Constant Acceleration -1g Spaceship. Imagine that a spaceship can accelerate (starting from rest) at a sustained 1 g (9.8 m/sec') for any desired length of time. Make a table as follows Elapsed time 1 minute 1 hour dadayS 1 week (7 days) 1 month (30 days) m/sec km/sec km/sec km/sec km/sec Distance Travel meters kilometers millions of kilometers billions of kilometers billions of kilometers For each listed time, calculate both the attained velocity and the distance traveled. (The numbers...
A rocket, initially at rest on the ground, accelerates straight upward with constant net acceleration, from time t=0 until, at which time the fuel is exhausted. Neglect air resistance and assume that the rocket stays close enough to the ground that the acceleration due to gravity (after the rocket engine stops) is given by g. a) Find the maximum height, h, that the rocket reaches above the ground. b) Find the total time of flight, that the rocket is in...
I need help in this lab report, I am struggling, Please help, its urgent, You can select data of your choice, like supposed data PURPOSE: To calculate the acceleration due to gravity at the Earth's surface by measurement of the total distance an object falls and the time required to fall that distance. EQUIPMENT:1 tape measure or similar device 1 table tennis (Ping-Pong) ball 1 stopwatch EQUATIONS where v is the average velocity of the object, h is the height...
6. An astronaut ona distant planet wants to determine its acceleration due to gravity. The astronaut throws a rock straight up with a velocity of +15 m/s and measures a time of 20.0 s before the rock returns to his hand. What is the acceleration (magnitude and direction) due to gravity on this planet? See Diagram below: 20.0s v,15 m/s Show your work below: 7. Problem using vectors: A sailboat sails for 1 hr at 4 km/hr (relative to the...
Can you please give me the whole solution for this question! Thanks 2. According to Newton's Law of Universal Gravitation, the gravitational force on an object of mass m that has been projected vertically upward from Earth's surface is F( is the objer s distan boe he urfac at time t, Ris Earth's radius, ngR (x+R)2 and g is the acceleration due to gravity. Also, by Newton's Second law, mgR2 (x +R)2 dv F = mal = m dt =...