A rocket takes off from Earth's surface, accelerating straight up at 71.2 m/s2. Calculate the normal force (in N) acting on an astronaut of mass 82.4 kg, including her space suit. (Assume the rocket's initial motion parallel to the +y-direction. Indicate the direction with the sign of your answer.)
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A rocket takes off from Earth's surface, accelerating straight up at 71.2 m/s2. Calculate the normal force (in N) acting on an astronaut of mass 82.4 kg, including her space suit. (Assume the rocket's initial motion parallel to the +y-direction. Indicate the direction with the sign of your answer.)
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- Two forces F1 = (55.6i - 26.83j) N and F2 = (27.41i - 80.52j) N are exerted on a particle. The particle's mass is 10.14 kg. (a) Find the particle's acceleration in component form (express your answer in vector form). (b) what are the magnitude (m/s2) and direction of the acceleration (counterclockwise from the +x axis). Use four decimal places.On 24 November 2021 the DART (Double Asteroid Redirection Test) spacecraft was launched. Its mission is to assess the ability of an impact to deflect the path of an asteroid. DART was launched on a Falcon 9 rocket. At launch a Falcon rocket has a mass of 555 000 kg and generates a force of 7.6 x 106 N. A. Neglecting the effect of gravity, what is the initial acceleration of the rocket? Give your answer to an appropriate number of significant figures. B. Assuming that the initial acceleration remains constant, how fast will the rocket be moving after 2 seconds? C. In practice, as the rocket burns fuel, its mass decreases. Assuming the thrust remains the same, how would your answer to part (ii) change? Would the speed after 2 seconds be lower, the same or higher?A 2140 kg car traveling to the west at 17.1 m/s slows down uniformly. How long would it take the car to come to a stop if the force on the car is 8560 N to the east? Let East be positive.Answer in units of s. What is the car’s displacement during the time it takes to stop?Answer in units of m.
- A flea jumps by exerting a force of 1.02 x 10-5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 1.16 × 10-6 N on the flea. Find the direction and magnitude (in m/s²) of the acceleration of the flea if its mass is 6.0 × 107 kg. (Let us assume that F points to the right. We will consider this to be the +x direction and vertical to be the +y wind direction.) magnitude 17.1 Did you draw a free-body diagram, and identify the forces acting on the flea? Consider the forces acting on the flea during the time it is in contact with the ground. m/s² direction 6.49 Review vector components. In which of the four quadrants is the resultant force located?° (measured clockwise from the vertical) Tutorial Supporting Materials Physical Constants Submit AnswerTwo 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 axisConsider a person standing on a scale in an elevator. If the elevator accelerates upwards with an acceleration of 1.27 m/s2 and the person has a mass of 79.2 kg, what would the scale read? HINT: you need to take into account the acceleration due to gravity, as well as that of the elevator.
- From a standstill, a 77.0 kg basketball player bends their knees and pushes against the floor andextends legs vertically 30.0 cm before jumping vertically off the ground and reaches a maximumheight of 25.0 inches above the ground. Assume the force the floor exerts on the player is constant.What is the force the floor exerts on the player? Give answer in lbs. (Let 4.45 N = 1 lb., 1 inch = 2.54 cm)Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 12,200 kg. The thrust of its engines is 27,000 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/s² (b) Could it lift off from Earth? If not, why not? Yes, the thrust of the module's engines is equal to its weight on Earth. ◇ No, the thrust of the module's engines is equal to its weight on Earth. No, the thrust of the module's engines is less than its weight on Earth. Yes, the thrust of the module's engines is greater than its weight on Earth. If it could, calculate (in m/s²) the magnitude of its acceleration. (If not, enter NONE.) m/s²A contestant in a winter games event pushes a 37.0 kg block of ice across a frozen lake as shown in the figure. 25°. The coefficient of static friction is 0,1 and the coefficient of kinetic friction is 0.03. (a) Calculate the minimum force F (in N) he must exert to get the block moving. 39.96 (b) What is its acceleration (in m/s2) once it starts to move, if that force is maintained? 0.686 xm/s2 Additional Materials O Reading Submit Answer P Type here to search DELL Esc F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 トI @ #3 $ % 3 4 Tab W R T. Y Caps Lock K Ehift V つ A
- Consider a person standing on a scale in an elevator. If the elevator accelerates upwards with an acceleration of 1.47 m/s2 and the person has a mass of 98.1 kg, what would the scale read? HINT: you need to take into account the acceleration due to gravity, as well as that of the elevator.A rocket is descending to the surface of Mars where g = 4 m/s ^ 2 . The rocket is initially 80 m above the planet's surface and is descending downward at 50 m/s. The mass of the rocket is 2500 kg. The rocket will land on the surface with a final velocity of 0. Our goal is to find the upward thrust force on the rocket to make this happen. Find the thrust force on the rocket ? Answer is 49,000 N, please show work.A spacecraft was designed to assess the ability of an impact to deflect the path of an asteroid. The spacecraft was launched on a rocket. At launch, the rocket has a mass of 555,000 kg and generates a force of 7.6 x 106 N. If you were to neglect the effect of gravity, what would the intial acceleration of the rocket be? Give your an answer to an appropriate number of significant figures.