. An astronaut is tasked to compute the gravitational acceleration of planet Z. After landing, he dropped a test object from a height of 2 meters and the time duration of the drop was 1 second. What is the gravity of planet Z in m/s^2? b. If the astronaut jumped upward with an initial velocity of 8m/s, how high is the jump? in meters

a) i. b) i. Define gravitational field strength at a point. Determine the mass of the Earth assuming that it is a uniform sphere of radius 6378 km and that the gravitational field strength at the Earth's surface is 9.81 N kg¹¹. Determine the average density of the Earth. iii. Use the mass of the Earth as calculated in part b)i to determine the gravitational field strength due to the Earth at a distance of 3.5 x 108 m from the centre of the Earth. ii. iv. Consider a point X a distance of 3.5 x 108 m from the centre of the Earth and which lies on the line joining the centre of the Earth to the centre of the Moon. c) i. ii. At X the gravitational field strength due to the Moon is equal but opposite to that of the Earth. The mass of the Moon is 7.4 x 10²2 kg. Determine the distance from the centre of the Moon to X and hence determine the distance between the centres of the Earth and Moon. Determine the time in Earth years for the planet Jupiter to complete one orbit of the Sun. Take 1…

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1. Gravity: a. What is the magnitude and direction of the gravitational force that the Earth exerts on you in Sl units? Make a reasonable numerical estimate and include units. b. The SI unit of force is a newton. What is a newton in terms of the more basic units, kilograms (kg), meters (m), and seconds (sec)? What is the magnitude and direction of the gravitational force that you exert on the Earth? Consider your answer to part a. 2. Contact Forces¹: Besides gravity, nearly all other forces we will encounter in this course are contact forces, which means that the two objects must be touching for the objects to exert forces on each other. Normal Force: When a surface is touching an object, the surface exerts a force on the object that is perpendicular to the surface and pushes into the object. This is called a "normal" force (normal means perpendicular in math). The harder the surfaces press against each other, the larger the normal force.²