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Question 4. You are driving your car at 45 mph. Your car has mass1435kg. You run into a car that has mass 1084kg and is going 55 mphin the opposite direction. The two cars lock bumpers, so they movetogether. No one hits the brakes. How fast will the cars move afterthe collision? Give your answer in mph to two decimal places.Correct answer: 1.97Question 5 (1 point)If your distance from the center of a planet becomes 0.81 timeswhat it was before, what happens to your weight? Give the answer interms of the number by which you would multiply your originalweight. Express your answer in scientific notation, to threesignificant figures. E.g. if you move to 3.4 times as far from thecenter of the planet as you were before, your weight would bemultiplied by (1/3.4 squared) = 0.08650519=8.65E-2. This answer hasNO unitsCorrect answer: 1.52E0 (1.52 * 100)Question 6 (1 point)If you weigh 232.12 lb on the Earth, what do you weigh at the topof a tower (on Earth) where the tower is 0.22 Earth radii tall.Give your answer in pounds to two decimal places.Correct answer: 155.95Question 7 (1 point)If you weigh 96.6 lb on the Earth. Then the Earth collapses. Thereis no change of Earth's total mass, and the surface just contracts,but the radius decreases to 0.15 times what it was formally? Whatdo you weigh after the expansion. Tell the number of pounds to twodecimal places.Correct answer: 4293.33Question 8 (1 point)If you weigh 142.2 lb on the Earth, what do you weigh on adifferent planet where the planet has mass 1.0 times as much asEarth's and radius 0.5 times as large as Earth's. Give your answerin pounds to two decimal places.Correct answer: 568.80Question 9 (1 point)What is the smallest velocity that will enable you to escape fromthe Earth if you are 2.66 Earth radii from the center of the Earth?Give your answer in scientific notation to three significantfigures. Remember that the Earth orbits the Sun at 30 km/sec andthat satellites at about 1 Earth radius from the center go 7.8km/sec.Correct answer: 6.76E0 (6.76 * 100)Question 10 (1 point)You hit the 8 ball and it moves East at 3.8 cm/sec. It hits the 3ball. After the collision, the 8 ball continues to move, but withspeed 2.3 in the East direction. How fast does the 3 ball move?Tell the answer to one decimal place and follow it by the directionthat it moves.Correct answer: 1.5Question 11 (1 point)A rocket has 556 kg of fuel and 142 kg of solid parts. The fuelexits the rocket at a speed of 4504 meters/second. If the fuelcomes out all at one moment, how fast will the rocket be goingafter the fuel leaves? Assume that the rocket and the fuel were notmoving before the fuel left. Use the positive sign for thedirection that the fuel goes. Express your answer in scientificnotation to three significant figures.Correct answer: -1.76E4 (-1.76 * 104)