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(a) The velocity of a particle moving in the x - y plane is given by...
3. A 5 kg particle moves in the +x direction with a velocity of 6 m/s...
3. A 5 kg particle moves in the +x direction with a velocity of 6 m/s shown in the figure below. You are told that it makes an elastic collision with a 2kg particle that is initially at rest. After the collision, the 2 kg particle moves with a speed of 5 m/s in the direction 30° above the x-axis. (a) What are the x and y components of the 5 kg particle after the collision? (20 points) (b) Were...
The velocity of a particle moving along a straight line is given by v = 0.2s1/2...
The velocity of a particle moving along a straight line is given by v = 0.2s1/2 m/s where the position s is in meters. At t = 0 the particle has a velocity v0 = 3 m/s. Determine the time when the particle’s velocity reaches 15 m/s and the corresponding acceleration. Ans: 600 s, a = 0.02 m/s2
2) A particle moves in the x-y plane. Known information about the particle’s motion is given...
2) A particle moves in the x-y plane. Known information about the particle’s motion is given below: ???? = 150?? ft/sec. and at time t = 0, x = 6 ft ?? =5??3+50?? ft a) Derive, as functions of time, the position (x), acceleration (ax), velocity (vy), and acceleration (ay). b) Using your functions, calculate, at time t = 0.25 seconds, the total magnitude of velocity ?? of the particle and the angle ????the velocity vector makes with the x-axis....
A 2.0-g particle moving at 7.0 m/s makes a perfectly elastic head-on collision with a resting...
A 2.0-g particle moving at 7.0
m/s makes a perfectly elastic head-on collision with a resting
1.0-g object. (a) Find the speed of each particle after the
collision.
A 2.0-g particle moving at 7.0 m/s makes a perfectly elastic head-on collision with a resting 1.0-g object. (a) Find the speed of each particle after the collision. 2.0 g particle 2.33 m/s 1.0 g particle 9.33 m/s (b) Find the speed of each particle after the collision if the stationary particle...
Two pucks are sliding on a frictionless surface. There is an elastic collision between the two...
Two pucks are sliding on a frictionless surface. There is an elastic collision between the two pucks. The masses of the pucks are: m4 = 0.20 kg, m2 = 0.40 kg. Puck#1 initially moved with a velocity of 5.5" ( + 4.8 Vir 4.8") s After the collision, puck #1 moves at 3.2 m/s in the positive x-direction, and puck #2 moves at 2.6 m/s in the negative y-direction. a. [6] Determine the initial velocity of puck #2. b. [2]...
2. A particle moves in the x-y plane. Its coordinates are given as functions of time...
2. A particle moves in the x-y plane. Its coordinates are given as functions of time t(2 0) b x(t)-R(at-sina)t), )Sketch the trajectory of the particle. This is the trajectory of a point on the rim of a wheel y(t)-R(1-cosω t), where R and ω are constants. (a) (3 that is rolling at a constant speed on a horizontal surface. The curve traced out by such a point as it moves through space is called a cycloid. (b) (5 Find...
The velocity of a particle moving along the x axis is given for t > 0...
The velocity of a particle moving along the x axis is given for t > 0 by vx = (32.0 − 2.00t2) m/s, where t is in s. What is the acceleration of the particle when (after t = 0) it achieves its maximum displacement in the positive x direction?
A 2.00-9 particle moving at 7.40 m/s makes a perfectly elastic head-on collision with a resting...
A 2.00-9 particle moving at 7.40 m/s makes a perfectly elastic head-on collision with a resting 1.00-9 object. (Assume the 2.00-9 particle is moving in the positive direction before the collision. Indicate the direction with the sign of your answer.) (a) Find the velocity of each particle after the collision. 2.00-9 particle 1.00-9 particle m/s m/s (b) Find the velocity of each particle after the collision if the stationary particle has a mass of 10.0 g. 2.00-9 particle m/s 10.0-9...
Vx is the velocity of a particle moving along the x axis as shown
Vx is the velocity of a particle moving along the x axis as shown. If x = 1.0 m at t= 1.0 s, what is the position of the particle at t = 6.0 s? -2.0 m -1.0 m +2.0 m +1.0 m -3.0 m
A particle moves in the x-y plane such that its position is defined by r (2t...
A particle moves in the x-y plane such that its position is defined by r (2t i+ 4tj) ft, where t is in seconds. Determine the radial and transverse components of the particle's velocity and acceleration whent-2 s.
3. A 5 kg particle moves in the +x direction with a velocity of 6 m/s shown in the figure below. You are told that it makes an elastic collision with a 2kg particle that is initially at rest. After the collision, the 2 kg particle moves with a speed of 5 m/s in the direction 30° above the x-axis. (a) What are the x and y components of the 5 kg particle after the collision? (20 points) (b) Were...
A 2.0-g particle moving at 7.0
m/s makes a perfectly elastic head-on collision with a resting
1.0-g object. (a) Find the speed of each particle after the
collision.
A 2.0-g particle moving at 7.0 m/s makes a perfectly elastic head-on collision with a resting 1.0-g object. (a) Find the speed of each particle after the collision. 2.0 g particle 2.33 m/s 1.0 g particle 9.33 m/s (b) Find the speed of each particle after the collision if the stationary particle...
Two pucks are sliding on a frictionless surface. There is an elastic collision between the two pucks. The masses of the pucks are: m4 = 0.20 kg, m2 = 0.40 kg. Puck#1 initially moved with a velocity of 5.5" ( + 4.8 Vir 4.8") s After the collision, puck #1 moves at 3.2 m/s in the positive x-direction, and puck #2 moves at 2.6 m/s in the negative y-direction. a. [6] Determine the initial velocity of puck #2. b. [2]...
2. A particle moves in the x-y plane. Its coordinates are given as functions of time t(2 0) b x(t)-R(at-sina)t), )Sketch the trajectory of the particle. This is the trajectory of a point on the rim of a wheel y(t)-R(1-cosω t), where R and ω are constants. (a) (3 that is rolling at a constant speed on a horizontal surface. The curve traced out by such a point as it moves through space is called a cycloid. (b) (5 Find...
A 2.00-9 particle moving at 7.40 m/s makes a perfectly elastic head-on collision with a resting 1.00-9 object. (Assume the 2.00-9 particle is moving in the positive direction before the collision. Indicate the direction with the sign of your answer.) (a) Find the velocity of each particle after the collision. 2.00-9 particle 1.00-9 particle m/s m/s (b) Find the velocity of each particle after the collision if the stationary particle has a mass of 10.0 g. 2.00-9 particle m/s 10.0-9...
A particle moves in the x-y plane such that its position is defined by r (2t i+ 4tj) ft, where t is in seconds. Determine the radial and transverse components of the particle's velocity and acceleration whent-2 s.
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