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- An object has a mass of 100 kg.a) How much does it weigh on Earth?b) How much does it weigh on the Moon (gmoon = 1.6 m/sz)?In 1908, Washington Senators' catcher Gabby Street caught a baseball dropped from the top of the Washington Monument, a height of 555 feet. A baseball weighs 5.125 ounces. Assume that the drag force is proportional to the velocity and that the drag coefficient is c = 0.0018 lb-sec/ft. How fast (in ft/s) was the baseball going when Street caught it 7 feet above ground level? (Round your answer to the nearest tens place.)Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 12,100 kg. The thrust of its engines is 33,500 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s2.) (a) Calculate its magnitude of acceleration in a vertical takeoff from the Moon. m/s2 (b) Could it lift off from Earth? If not, why not? O No, the thrust of the module's engines is less than its weight on Earth. O No, the thrust of the module's engines is equal to its weight on Earth. O Yes, the thrust of the module's engines is greater than its weight on Earth. O Yes, the thrust of the module's engines is equal to its weight on Earth. If it could, calculate the magnitude of its acceleration. (If not, enter NONE.) m/s2 Additional Materials O Reading ASK YOUR TEACHER PRACTICE ANOTHER 30°E Partly sunny A MY NOTES 12-56 PM OSCOLPHYS144015
- A 2kg box is being pulled up a ramp by a force of 24N. The ramp is at an angle of 35 degrees from the ground. The force of friction on the box is 1.5N. What is the magnitude and direction of the component of gravity in the x-direction?Henry is lifting a jug of water with mass 3.82 kg from a floor at the rate of 0.89 m/s2. What is the magnitude of the force Henry applies to the jug of water in the unit of N? Use g = 9.81 m/s2 to calculate the weight force. Round your answer to the nearest tenths if necessary.Mountain pull. A large mountain can slightly affect the direction of “down” as determined by a plumb line. Assume that we can model a mountain as a sphere of radius R=2.00 km and density (mass per unit volume) 2.6*103 kg/m3. Assume also that we hang a 0.50 m plumb line at a distance of 3R from the sphere’s center and such that the sphere pulls horizontally on the lower end. How far would the lower end move toward the sphere?
- The International Space Station (ISS) orbits the Earth at an altitude (distance above the surface of the Earth) of 408 km, conducting various experiments in a "weightless" environment. Consider the force(s) acting on the ISS and write a simplified equation relating its force(s) to speed. Air resistance is negligible. (HINT: The centripetal force is equal to the net inward force on an object. You are being asked to write an equation to find speed.)A person pushes on a stationary 125-N box with a force of 77 N at 30∘ below the horizontal. The coefficient of static friction between the box and the horizontal floor is 1.18. What is the largest the friction force could be? The person now replaces his push with a 77 N pull at 30∘ above the horizontal. Find the normal force on the box in this case.American astronauts brought a trunk of instruments on their trip to the Moon. The mass of the trunk at Cape Canaveral, FL, the launch site, was 125.0 kilograms (kg). They wondered what the mass of the trunk would be on the surface of the Moon. They knew that the gravity on the Moon is one-sixth of the gravity on Earth. What was the mass of the trunk on the Moon, to the nearest tenth of a kilogram?
- A ball with mass 0.85 kg is thrown upward with initial velocity 30 m/s from the roof of a building 40 m high. Assume there is a force due to v² directed opposite to the velocity, air resistance of magnitude 1325 where the velocity v is measured in m/s. NOTE: Use g=9.8 m/s² as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.A ball with mass 0.3 kg is thrown upward with initial velocity 10 m/s from the roof of a building 50 m high. Assume there is a force due to directed opposite to the velocity, air resistance of magnitude 1325 where the velocity v is measured in m/s. NOTE: Use g-9.8 m/s as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.A man exerts a northward force of 100 newtons on a 50 kilogram box which sits on a level floor. If the frictional force is 80 newtons, what is the magnitude of the northward acceleration of the box?
