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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 50.0 N is exerted, and an astronaut’s acceleration is measured to be
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- Newton's second law states that force equals mass times acceleration. For a 10-gram weight, force given an acceleration of x meters per second can be modeled by the equation y = 10x .The relationship is a/an with a constant of variation ofarrow_forwardA “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_forward
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- Two 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_forwardA net force of 3,000.0 N accelerates a car from rest to 37.4 km/h in 5.00 s. (a) What is the mass of the car? (b) What is the weight of the car? (а) т%3 x 10° kg sa (b) w = × 10ª N Nextarrow_forwardThis exercise represents a hypothetical implementation of the experiment suggested by Newton's second law of motion which says that Force varying accelerations, and the resulting force was measured. In the following table, acceleration is in meters per second per second, and force is in newtons. = Mass · Acceleration. A mass of 18 kilograms was subjected to TI Acceleration Force 6. 108 9. 162 12 216 15 270 18 324 (a) Construct a table of differences. Change in A Change in F Step 1 54 Step 2 3 54 Step 3 3 54 Step 4 3 54 Explain how it shows that these data are linear. For each change of 54 in F (Step 1 to Step 2) there is an increase of 3 in A. (b) Find a linear model for the data. (Enter your answer in terms of A.) F = (c) Explain in practical terms what the slope of this linear model is. The slope is the mass of 18 kilograms used in the experiment. (d) Express using function notation, the force resulting from an acceleration of 14 meters per second per second. F( 14 Calculate the…arrow_forward
- 2.3. A crate of mass 50 kg slides on a horizontal floor under the action of an applied horizontal force of 200N and against a friction force of 120 N. Calculate (a) the acceleration, and (b) the applied horizontal force required to give the same acceleration with twice the mass and half the friction. 2.4. Calculate the force required to accelerate an electron from a speed of 100 m/s to 100 km/s in the same direction in a distance of 5.0 cm. The mass of an electron is 9.1X10" kg. 2.5. A horizontal force of 300 N is required to maintain constant velocity of a vehicle on the level, and a force of 1 100N gives it a speed of 6.0 m/s in a time of 5.0s from rest. What force is required for half the speed in double the time, assuming constant resistance? 2.6. A car of mass 750 kg is accelerated from rest by a constant force of 500 N for a distance of 200 m. Calculate the maximum speed reached and the brake force required to stop the car in a distance of 20 m. 2.7. It is reckoned that the…arrow_forwardAn astronaut takes a set of scales to do some measurements while travelling. Before leaving earth, the astronaut stands on the scales and they read "75 kg". Determine what the readings would be in the following circumstances. (You will first need to decide what the scales physically relate to). (a) On the moon where gravity is 1.6 m/s² nds o t tant (b) Near the surface of Jupiter where gravity is 26 m/s? the Tian (of mas m basks in the sen on a dop Which ofe The de of the no fore (c) In the spaceship travelling in between planets the ig lore ain .ont fom an action The direction of the o l foree acting on the ands verically upwants 4 The normal frce tg on he wegharrow_forwardTwo forces É, = (81.24i – 26.83j) N and É, = (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/s? (b) What are the magnitude and direction of the acceleration? magnitude |m/s2 direction counterclockwise from the +x axisarrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University