1. Solve the following problems. a) What is the mass of a book that weighs 3 N at a location where g = 9.8 m/s? b) At the same location, what is the weight of a dog whose mass is 12 kg?
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- An astronaut weighing 236 lbs on Earth is on a mission to the Moon and Mars. a.What would he weigh in newtons when he is on the Moon? The acceleration due to gravity on the Moon is one-sixth that on Earth? b. How much would he weigh in newtons when he is on Mars, where the acceleration due to gravity is 0.38 times that on Earth? c. What is his mass in kilograms on Earth?An old phrase used to sell cars was that they could "stop on a dime," meaning they could stop before the car moved a distance equal to the diameter of a dime. a. To see if this is realistic, calculate the net force needed to stop a 490-kg car moving at 25 miles/hour in a distance of 1.8 cm (the diameter of a dime). b. Compare that force to the weight of the car. Are they even close to the same size? Based on your comparison, is "stopping on a dime" a reasonable claim, or is the force needed unreasonably large? c. Calculate how much time it would take the car to stop. Is this a reasonable time for a car moving at 25 mph to stop, based on your experience traveling in cars?1. Solve the following problems. a) What is the mass of a book that weighs 3 N at a location where g = 9.8 m/s2? b) At the same location, what is the weight of a dog whose mass is 12 kg? 2. At the surface of Mars, the acceleration due to gravity is g = 3.7 m/s2. A watermelon weighs 45 N at the surface of the earth. What are its mass and weight on the surface of Mars? 3. A crate with mass 4 kg and initially at rest on a frictionless horizontal plane is acted upon by a horizontal force of 10 N. Calculate : a) What acceleration is produced? b) How far does the crate travel in 10 seconds? c). What is its speed at the end of 10 seconds?
- 2. Two masses were connected by a frictionless pulley and is placed in an inclined plane with kinetic friction coefficient of 0.2. If we let mass m2 to move at a constant speed downwards, give the following: a. Draw the FBD and write the summation of all forces acting on the masses. b. Solve for mass m2 if mass mı = 4kg. c. Find the tension force of the string.Problems 1. A hemispherical bowl (mass 0.5kg) is sitting on a slippery table, so there is no friction between the bowl and the table, and yet the bowl is not moving. Two normal forces, A and B, are applied to the top of the bowl. Suppose N₁ = 20N. NA a) Draw a force diagram and fill out the force table below. Force b) Solve for NB. C X c) Find the normal force of the table on the bowl. y 2 55° y NB 0.5kg 65° XA 5kg box is sitting on a floor.a. What is the box’s mass?b. What is the box’s weight?c. What is the normal force acting on the box?
- An object has a mass of 250 g. What is the gravitational force on the object by the earth? 3. The earth exerts a gravitational force of 500 N on an object. What is the mass of the object in kg? 4. The earth exerts a gravitational force of 0.500 N on an object. What is the mass of the object in g? 5. The gravitational field strength on the moon is 1.63 N/kg. If a rock on the moon weighs 2000N, how much does the same rock weigh on the earth? 6. A rock has a mass of 5.00 kg on the moon. What is the mass of the rock on the earth?A person is trying to lift a box off the floor. The box has a mass of 55kg and the person can lift with a force of300N.a. Can the person lift the box?b. Find the normal force acting on the box.1. A mass hanging from a string is 65.65 grams. What is the force pulling on the string due to gravity? answer for (1) the gravitational force pulling the string is 0.643 N. 2. This string will be accelerating a "carriage" that rides horizontally on a track. The carriage has a mass of 1415.18 grams. The total mass being accelerated will be the mass on the string plus the mass of the carriage. What will the acceleration of the system be? 3. If the carriage is accelerated horizontally (from rest) over 0.775 meters, what will the horizontal velocity at the end be? 4. If, after being accelerated over 0.775 meters, a ball is then dropped from the carriage (while it is moving) from a height of 1.65 meters, how far horizontally will the ball travel (relative to the point where it was dropped) before hitting the floor?
- 1. The International Space Station has a mass of approximately 370,000 kg. a. What is the force on a 130 kg suited astronaut if she is 22 m from the center of mass of the station? b. How accurate do you think your answer would be?A person is trying to lift a box off the floor. The box has a mass of 55kg and the person can lift with a force of300N 2. A second person comes to help lift the box and applies a force of 300N.a. Can they lift the box?b. What is the normal force on the ground?c. If they can lift the box, what would be the acceleration of the box?1. Answer the following: a. Carlo walks 8 km East, then 5 km South and finally 6 km West. Find his final displacement. b. Carlo and Karlo pull at two ropes attached to a cabinet with forces 80 N and 120 N. What is the resultant force if they pull at right angle to each other? c. Carlo leaves Buting Senior High School, drives 26 km due North, then turns onto a street and continues in a direction 30° NE for 35 km and finally turns onto the highway due East for 40 km. What is his total displacement?