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Since astronauts in orbit are apparently weightless, a clever method of measuring their masses is needed to monitor their mass gains or losses to adjust diets. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 50.0 N is exerted and the astronaut's acceleration is measured to be 0.893 m/s2. (a) Calculate her mass. (b) By exerting a force on the astronaut, the vehicle in which they orbit experiences an equal and opposite force. Discuss how this would affect the measurement of the astronaut's acceleration. Propose a method in which recoil of the vehicle is avoided.
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- Astronauts in orbit are apparently weightless. This means that a clever method of measuring the mass of astronauts is needed to monitor their mass gains or losses and adjust their diet. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 45.0 N is exerted, and an astronaut's acceleration is measured to be 0.662 m/s². (a) Calculate her mass (in kg). 67.98 kg (b) By exerting a force on the astronaut, the vehicle in which she orbits experiences an equal and opposite force. Use this knowledge to find an equation for the acceleration of the spaceship that would be measured by a nearby observer. (Enter the magnitude. Use the following as necessary: mastro for the astronaut's mass, mship for the spaceship's mass, and a astro for the magnitude of the astronaut's acceleration. Do not substitute numerical values; use variables only.) mastro“ astro a ship ashiparrow_forwardAstronauts in orbit are apparently weightless. This means that a clever method of measuring the mass of astronauts is needed to monitor their mass gains or losses, and adjust their diet. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 50.0 N is exerted, and an astronaut's acceleration is measured to be 0.983 m/s. (a) Calculate her mass. (b) By exerting a force on the astronaut, the vehicle in which she orbits experiences an equal and opposite force. Use this knowledge to find an equation for the acceleration of the system (astronaut and spaceship) that would be measured bya nearby observer. (c) Discuss how this would affect the measurement of the astronaut's acceleration. Propose a method by which recoil of the vehicle is avoided.arrow_forwardSince astronauts in orbit are apparently weightless, a clever method of measuring their masses is needed to monitor their mass gains or losses to adjust diets. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 57.5 N is exerted and the astronaut's acceleration is measured to be 0.880 m/s². Calculate her mass (in kg). kg By exerting a force on the astronaut, the vehicle in which they orbit experiences an equal and opposite force. Discuss how this would affect the measurement of the astronaut's acceleration. Propose a method in which recoil of the vehicle is avoided.arrow_forward
- A “doomsday” asteroid with a mass of 1.0x1010 kg is hurtling through space. Unless the asteroid’s speed is changed by about 0.20 cm/s it will collide with Earth and cause tremendous damage. Researchers suggest that a small “space tug” sent to the asteroid’s surface could exert a gentle constant force of 2.5 N. For how long must this force act?arrow_forwardIn Newton's 2nd law experiment, the relation between the added mass (M₁) and the inverse of the acceleration M. (kg) (1/a) is shown in the figure. The driving force is constant (M₁0.08 kg). Q5: The magnitude of the gravitational acceleration (in m/s) estimated Slope= 0.85 N from the graph is: a) 11.88 b) 9.50 c) 8.50 d) 13.25 e) 10.63 0.4 1/a (s/m) 06: The mass of the cart Mc (in kg) is: a) 0.30 b) 0.28 c) 0.24 d) 0.20 e) 0.26 M. Mc Mharrow_forwardSuppose 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 OSCOLPHYS144015arrow_forward
- Question 5. A 21.3-g bullet is fired from a rifle. It takes 2.40 × 10-³ s for the bullet to travel the length of the barrel, and it exits the barrel with a speed of 730 m/s. Assuming that the acceleration of the bullet is constant, find the average net force exerted on the bullet. Ans: 6479 N IN Question 6. A planet has a mass of 707 is the 2000arrow_forwardA 3 kg object has a velocity of 3i m/sat one instant. 8 seconds later, its velocity is (5i + 7j) m/s. Assuming the object was subject to a constant Net Force, (a) find the components of the force as well as (b) its magnitude?arrow_forwardTwo forces F, = (81.24i – 26.83ĵ) N and F, = (27.41i - 80.52j) N are exerted on a particle. The particle's mass is 23.21 kg. (a) Find the particle's acceleration in component form. (Express your answer in vector form.) a = m/s2 (b) What are the magnitude and direction of the acceleration? magnitude |x m/s2 direction X ° counterclockwise from the +x axisarrow_forward
- The values of gravitational acceleration at the surfaces of Jupiter, Pluto, and the sun are 23.12 m/s, 0.72 m/s, and 273.98 m/s, respectively. Determine your weight at each of these locations in both SI and US customary units. Assume no loss of mass results from the extreme conditions.arrow_forwardSuppose the mass of a fully loaded module in which astronauts take off from the Moon is 10,400 kg. The thrust of its engines is 33,000 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s2.) (a) Calculate (in m/s2) its magnitude of acceleration in a vertical takeoff from the Moon. m/s? (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 (in m/s?) the magnitude of its acceleration. (If not, enter NONE.) |m/s²arrow_forwardTwo forces F, = (62.13î - 26.83ĵ) N and F, = (19.73î - 69.15ĵ) N are exerted on a particle. The particle's mass is 17.75 kg. (a) Find the particle's acceleration in component form. (Express your answer in vector form.) a = m/s? (b) What are the magnitude and direction of the acceleration? m/s2 ° counterclockwise from the +x axis magnitude directionarrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University