A particle that starts from x 0, y = 0 is initially moving at an angle of 30° ab

Question

A particle that starts from x 0, y = 0 is initially moving at an angle of 30° above the +x axis. The initial kinetic energy of the particle is 0.035 J. The particle moves to x 30 cm, y 3 cm in 0.07 s. An electric field of 280 N/C points in the -y direction. (Ignore gravity, air resistance, and magnetism.) What is the x component of the particle's initial velocity?, What is the magnitude of the particle's initial velocity? What is the y component of the particle's initial velocity? What is the y component of the particle's acceleration? What is the mass of the particle? What is the electric charge of the particle? m/s m/s m/s m/s kg C.

Explanation / Answer

along x axis.

x = (v0x) t

0.30 = (v0 cos30) t

0.30 = (v0 cos30)(0.07)

v0 = 4.95 m/s

v0x = v0 cos30 = 4.29 m/s .........Ans

v0 = 4.95 m/s .........Ans

v0y = v0 sin30 = 2.47 m/s ..........Ans

along y,

0.03 = (2.47 x 0.07) + (ay 0.07^2 / 2)

ay = - 58.4 m/s^2 .........Ans  

KE = m v0^2 / 2

0.035 = m (4.95^2)/2

m = 2.86 x 10^-3 kg .............Ans

ay = q E / m

2.86 x 10^-3 x 58.4 = q (280)

q = - 596 x 10^-6 C .......Ans

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