At t = 3 s, a certain particle has a speed of 12 m/s and is moving at an angle of 30∘ above the +x axis. At t = 6 s the same particle is moving at 5 m/s straight down at angle of 90∘ below the +x axis. Calculate the magnitude of its average acceleration.
SOLUTION:
Resolving the initial velocity into two vectors, we get a vector along positive x- axis and one vector along positive y- axis.
Hence, Initial velocity is given by:
Similarly, final velocity is along negative y-axis.
Therefore, acceleration is given by:
Therefore, Magnitude of average acceleration is given by:
At a certain time a particle had a speed of 12 m/s in the positive x direction, and 3.2 s later its speed was 79 m/s in the opposite direction. What was the average acceleration of the particle during this 3.2 s interval?
A proton in a particle accelerator has a speed of 5.0 x 10^6 m / s. The proton is found with a magnetic field whose magnitude is 0.40 T and its direction is 30 degrees with respect to the speed of the proton. Find the magnitude of the magnetic force acting on the proton and find its acceleration.
A particle moving along the x axis has a position given by x=(24t-2t^3)m where t is measured in s. What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?
Initially, a particle is moving at 5.30 m/s at an angle of 35.0° above the horizontal (+x axis). Two seconds later, its velocity is 5.13 m/s at an angle of 50.0° below the horizontal. What was the particle's average acceleration during this time interval? m/s2 (x component) m/s2 (y component)
Initially, a particle is moving at 4.50 m/s at an angle of 35.0° above the horizontal (+x axis). Two seconds later, its velocity is 5.79 m/s at an angle of 50.0° below the horizontal. What was the particle's average acceleration during these 2.00 seconds? 1. m/s2 (x component) 2. m/s2 (y component)
A 0.470-µC particle moves with a speed of 16.0 m/s through a region where the magnetic field has a strength of 0.668 T. At what angle to the field is the particle moving if the following magnitudes of the force are exerted on it? (a) 4.80 ✕ 10−6 N ° (counterclockwise from the +x-axis) (b) 3.00 ✕ 10−6 N ° (counterclockwise from the +x-axis) (c) 1.00 ✕ 10−7 N ° (counterclockwise from the +x-axis)
The position of a particle moving along the x axis is given by x= 6.0.-1.0p, where x is in meters and ria seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction? a. 32m b. 12m c. 16 m d. 24 m c. 2.0m 12. 13. The position of a particle moving along the x axis is given by x (21 +221-6.0)m, where t is in s. What is the average...
1 A proton in a particle accelerator has a speed of 5.0 x 106 m/s.Proton is with a magnetic field whose magnitude is 0.40 T and your address is 30 degrees with respect to the speed of the proton.Halle the magnitude of the magnetic force acting on the proton and find its acceleration. 2) A particle with the same mass and charge a proton into a region where the magnetic field has a magnitude of 4000 G.The particle moves in...
A person walks first at a constant speed of S.10 m/s along a straight line from point to point m/s. and then back along the line from to at a constant speed of 2.75 (a) What is her average speed over the entire trip? m/s (b) What is her average velocity over the entire trip? m/s Need Help? eMeser The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the...
A particle with a charge of 34 μC moves with a speed of 75 m/s in the positive x direction. The magnetic field in this region of space has a component of 0.42 T in the positive y direction, and a component of 0.87 T in the positive z direction.What is the magnitude of the magnetic force on the particle?What is the direction of the magnetic force on the particle? (Find the angle measured from the positive z-axis toward the...