The relaxed length of a vertical spring is 4.22 m. When a 5 kg object is attached to the end of the spring, the vertical length of the spring is 5.72 m and the object is found to be 10. m from the ground. Calculate using significant figures. a) X = m

b) The spring constant K = N/m

c) The elastic potential energy PEe = J

d) The gravitational potential energy PEG = J

e) Given that formula to calculate the total potential energy of the system is PETOTAL = PEG + PEe, calculate the PETOTAL = J

We put a force of 50n on an object and the acceleration is 100 m/s². what is the mass of the object?

Your starship, the aimless wanderer, lands on the mysterious planet mongo. as chief scientist-engineer, you make the following measurements: a 2.50-kg stone thrown upward from the ground at 14.0 m/s returns to the ground in 5.70 s ; the circumference of mongo at the equator is 2.20×10^5 km ; and there is no appreciable atmosphere on mongo. (a) the starship commander, captain confusion, asks for the following information: what is the mass of mongo? (b) if the aimless wanderer goes into a circular orbit 2.20×10^4 km above the surface of mongo, how many hours will it take the ship to complete one orbit? (c) an unmanned spacecraft is in a circular orbit around the moon, observing the lunar surface from an altitude of 44.0 km . to the dismay of scientists on earth, an electrical fault causes an on-board thruster to fire, decreasing the speed of the spacecraft by 23.0 m/s . if nothing is done to correct its orbit, with what speed (in km/h) will the spacecraft crash into the lunar surface?

What is the kinetic energy of a baseball moving at a speed of 40 m/s if the baseball has mass of 0.15 kg?