A 150 g particle at x = 0 is moving at 8.00 m/s in the +x-direction....

Question

Question

A 150 g particle at x = 0 is moving at 8.00 m/s in the +x-direction. As it moves, it experiences a force given by Fx=(0.350N)sin(x/2.00m).

What is the particles speed when it reaches x = 3.14 m?

Express your answer with the appropriate units.

science physics

Answer 1

Answer #1

v_o = initial speed at x = 0 , = 8 m/s

v = speed at x = 3.14 m , = ?

m = mass of particle = 150 g = 0.150 kg

F_x = force acting on the particle = (0.350) Sin(x/2)

Using work-energy theorem

F_x dx = (0.5) m (v² - v_o²)

(0.350) Sin(x/2) dx = (0.5) m (v² - v_o²)

(0.350) (1.99841) = (0.5) (0.150) (v² - 8²)

v = 8.6 m/s

Answer 2

Similar Homework Help Questions

A 150 g particle at x = 0 is moving at 8.00 m/s in the +x...

A 150 g particle at x = 0 is moving at 8.00 m/s in the +x -direction. As it moves, it experiences a force given by Fx=(0.150N)sin(x/2.00m) . Figure of 0 Part A Part complete What is the particles speed when it reaches x = 3.14 m ? Express your answer with the appropriate units. A 150 g particle at x = 0 is moving at 8.00 m/s in the +x -direction. As it moves, it experiences a force given...
A charged particle moving through a magnetic field at right angles to the field with a...

A charged particle moving through a magnetic field at right angles to the field with a speed of 24.7 m/s experiences a magnetic force of 2.38 x 10* N. Determine the magnetic force on an identical particle when it travels through the same magnetic field with a speed of 5.44 m/s at an angle of 26.2° relative to the magnetic field. N What is the maximum force on a rod with a 0.100 C charge that you pass between the...
An electron moving with a speed of 5.8×105 m/sm/s in the positive x direction experiences zero...

An electron moving with a speed of 5.8×105 m/sm/s in the positive x direction experiences zero magnetic force. When it moves in the positive y direction, it experiences a force of 3.8×10−13 N that points in the positive z direction. What is the magnitude of the magnetic field? Express your answer using two significant figures. Answer in T.

A proton moving in the positive x direction with a speed of 9.1 105 m/s experiences...

A proton moving in the positive x direction with a speed of 9.1 105 m/s experiences zero magnetic force. When it moves in the positive y direction it experiences a force of 1.8 10-13 N that points in the positive z direction. Determine the magnitude and direction of the magnetic field. magnitude T
An electron moving with a speed of 5.2×105 m/s in the positive x direction experiences zero...

An electron moving with a speed of 5.2×105 m/s in the positive x direction experiences zero magnetic force. When it moves in the positive y direction, it experiences a force of 4.1×10-13 N that points in the positive z direction. What is the direction of the magnetic field?
A particle moving with a velocity of 4.6 m/s in the + x direction is given...

A particle moving with a velocity of 4.6 m/s in the + x direction is given an acceleration of 0.1 m/s in the + y direction for 3.7 s. Find the final speed of the particle. m/s Submit

An atomic nucleus initially moving at 390 m/s emits an alpha particle in the direction of...

An atomic nucleus initially moving at 390 m/s emits an alpha particle in the direction of its velocity, and the remaining nucleus slows to 280 m/s . If the alpha particle has a mass of 4.0 u and the original nucleus has a mass of 222 u, what speed does the alpha particle have when it is emitted? Express your answer to two significant figures and include the appropriate units.
A particle is moving along the x-axis. It starts from rest at x = 0 and...

A particle is moving along the x-axis. It starts from rest at x = 0 and moves to x = L under the action of a variable force with an x-component given by Fx(x): F(x) x2 if 0 SX SL 1 L2 -=Lx if L < x < 3L 2 2 Everything is in SI units: x in meters and F in Newtons. 1: What is the particle's kinetic energy at x = L? Express your answer in terms of...
An atomic nucleus initially moving at 390 m/s emits an alpha particle in the direction of...

An atomic nucleus initially moving at 390 m/s emits an alpha particle in the direction of its velocity, and the remaining nucleus slows to 250 m/s . Part A If the alpha particle has a mass of 4.0 u and the original nucleus has a mass of 222 u , what speed does the alpha particle have when it is emitted? Express your answer to two significant figures and include the appropriate units. v ′ α v α ′ =...

An electron moving with a speed of 8.8 x105 m/s in the positive z direction experiences...

An electron moving with a speed of 8.8 x105 m/s in the positive z direction experiences zero magnetic force. When it moves in the positive x direction it experiences a force of 2.4 x10-13 N that points in the negative y direction. What is the magnitude and direction of the magnetic field? Magnitude: B= _____________T Direction: Magnetic field is pointed in ____________(indicate positive or negative) direction of ______________(indicate which axis i.e. x, y, or z) axis.