Problem (1): An 5-kg object moves around a circular track with a radius of 18 cm with a constant speed of 6 m/s. Find (a) The magnitude and direction of the acceleration of the object.
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- A Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 107 m and a takeoff speed 77 m/s at the end of the runway. Jets are catapulted into airspace from the deck of an aircraft carrier with two sources of propulsion: the jet propulsion and the catapult. At the point of leaving the deck of the aircraft carrier, the F-35's acceleration decreases to a constant acceleration of 4.8 m/s2 at 23° with respect to the horizontal. (Assume that the F-35's initial direction along the deck of the aircraft carrier is the +x-direction and that the +y-direction is up.) What is its velocity and speed at this time? (Enter your answers in m/s.) v(5.4 s)= (?î +?ĵ) v(5.4 s)= ? m/s How far (in m) has it traveled horizontally?A speed skater increases his speed from 10m/s to 12.5m/s over a period of 3s while coming out of a curve of 20m radius. What is the magnitude of the resultant acceleration as he leaves the curve?An object moves in a plane from position r1=(-1,-2) m to the position r2=(-2,7 m and then to r3=(3,8)m. The time of the motion is t=30s. Find (a) total displacement; (b) distance between the initial and final positions; (c)distance travelled (d)average velocity and average speed
- A car, moving at the constant speed of 36 km per hour, enters (at t = 0) a ramp heading north. One minute later, it completes the turn and travels toward the east. Find its average acceleration (both magnitude and direction).Please answer all question parts: A Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 97 m and a takeoff speed 72 m/s at the end of the runway. Jets are catapulted into airspace from the deck of an aircraft carrier with two sources of propulsion: the jet propulsion and the catapult. At the point of leaving the deck of the aircraft carrier, the F-35's acceleration decreases to a constant acceleration of 4.3 m/s2 at 33° with respect to the horizontal. (Assume that the F-35's initial direction along the deck of the aircraft carrier is the +x-direction and that the +y-direction is up.) (a) What is the initial acceleration (in m/s2) of the F-35 on the deck of the aircraft carrier to make it airborne? (Enter the magnitude.) (b) Write the position (in m) and velocity (in m/s) of the F-35 in unit vector notation from the point it leaves the deck of the aircraft carrier. (Use the following as necessary: t.) (c) At what altitude (in m) is…A fish swimming in a horizontal plane has velocity V₁ = (4.00 i + 1.00 ĵ) m/s at a point in the ocean where the position relative to a certain rock is r = (16.01- 3.60 ĵ) m. After the fish swims with constant acceleration for 15.0 s, its velocity is = (15.01 - 1.00 j) m/s. (a) What are the components of the acceleration of the fish? ax = m/s2 m/s2 ay = (b) What is the direction of its acceleration with respect to unit vector î? counterclockwise from the +x-axis (c) If the fish maintains constant acceleration, where is it at t = 24.0 s? x = y = m In what direction is it moving? counterclockwise from the +x-axis
- The initial velocity of a car is 35 m/s due North. Its final velocity is 42 m/s at 15 degrees South of East. If this takes 30 seconds, what is the magnitude and direction of the car's average acceleration?After 5.2 seconds of uniform acceleration from rest, a spacecraft reaches an altitude of 5.7 x 10² meters upwards. What is the final velocity of the Spacecraft?A rocket blasts off and moves straight upward from the launch pad with constant acceleration. After 2.8 seconds the rocket is at a height of 91 meters. (A) What are the magnitude and direction of the rocket's acceleration? (B) What is it's speed at this time? Can you please solve the question using one or more of these equations: v = v0 +at vav = (1/2) times (v0 + v) x = x0 + (1/2) times (v0 + v) times t x = x0 + v0t + (1/2)at2 v2 = v02 + 2a(x - x0)
- A particle moves along a circular path having a radius of 1.1 m. At an instant when the speed of the particle is equal to 3.22 m/s and changing at the rate of 6.46 m/s², what is the magnitude of the total acceleration of the particle?The velocity (in m/s) of a particle is given by v(t) = 2t- 6 where t is the time in seconds. During the interval 0An object has an acceleration as a function of time given by (in m/s2): A = (3t2 + 3t) i + (7t3 + 6) j Given: at t=0.0 s, the object is at the origin with a velocity of 0.0 m/s. What is the magnitude of its velocity (in m/s) when t= 4 s ?SEE MORE QUESTIONS