exerts a force of 1.18 x 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 x 10-7 kg. (Let us assume that Fwind points to the right. We will consider this to be the +x direction and vertical to be the +y direction.)
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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.Let's say an astronaut is walking on the moon and wants to test out some basic kinematics. Because there's no atmosphere, there's no air resistance, so the only thing that can cause an object to move faster on the moon is the moon's gravity. Let's say you have a hammer and a feather, each weighing 10.0 kg and 1.00 kg respectively. When you drop them from a height of 1.65 meters, they should both hit the ground at the same time. The gravity on the moon is around 1/6 of what it is on Earth, so you need to figure out how long it'll take for the hammer to reach the ground.A block of mass 8 kg moves in a straight line On a friction horizontal surface (u = 0.35), its initial velocity is 5.5 m/s. Find its velocity after it has travelled 3.5 m. (Take g = 10 m/s2, write the answer with 2 decimal places only). Answer:
- 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 AnswerA crate of mass m = 24 kg rides on the bed of a truck attached by a cord to the back of the cab as in the figure below. The cord can withstand a maximum tension of 64 N before breaking. Neglecting friction between the crate and truck bed, find the maximum acceleration the truck can have before the cord breaks. (Enter the magnitude of the maximum acceleration in the forward direction.) m/s?
- Two 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.On aircraft carriers, catapults are used to accelerate jet aircraft to flight speeds in a short distance. One such catapult takes a 18,100-kg jet from 0 to 68 m/s in 2.7 s. (Assume the catapult acts in the positive horizontal direction. Indicate the direction with the sign of your answer where appropriate.) (a) What is the acceleration of the jet in m/s2? m/s2What is the acceleration of the jet in g's? g(b) How far does the jet travel while it is accelerating? m(c) How large is the force that the catapult must exert on the jet? N
- 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 skydiver weighing 203 lbf (including equipment) falls vertically downward from an altitude of 5000 ft and opens the parachute after 14 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.77 |v| when the parachute is closed and 10 |v| when the parachute is open, where the velocity v is measured in ft/s. Use g = 32 ft/s². Round your answers to two decimal places. (a) Find the speed of the skydiver when the parachute opens. v(14) = i (b) Find the distance fallen before the parachute opens. x (14) = i ft ft/s (c) What is the limiting velocity after the parachute opens? UL = i ft/sA 5.0 kg mass is attached to the ceiling of an elevator by a rope whose mass is negligible. What force does the mass exert on the rope when the elvator has an acceleration of 4.0 m/s2 upward?