A charged particle of mass 1 kg and charge 2 μc is thrown from a horizontal ground at an angle

step 1 given a particle of mass 1 KG carrying the charge of two micropoleum moving with the speed of 20

A charged particle of mass 1 kg and charge 2 μc is thrown...

A charged particle of mass $1 \mathrm{~kg}$ and charge $2 \mu \mathrm{c}$ is thrown from a horizontal ground at an angle $\theta=45^{\circ}$ with speed $20 \mathrm{~m} / \mathrm{s}$. In space a horizontal electric field $\mathrm{E}=2 \times 10^{7} \mathrm{~V} / \mathrm{m}$ exist. The range on horizontal ground of the projectile thrown is $\ldots \ldots \ldots$ (A) $100 \mathrm{~m}$ (B) $50 \mathrm{~m}$ (C) $200 \mathrm{~m}$ (D) $0 \mathrm{~m}$

A charged particle of mass $1 \mathrm{~kg}$ and charge $2 \mu \mathrm{c}$ is thrown from a horizontal ground at an angle $\theta=45^{\circ}$ with speed $20 \mathrm{~m} / \mathrm{s}$. In space a horizontal electric field $\mathrm{E}=2 \times 10^{7} \mathrm{~V} / \mathrm{m}$
exist. The range on horizontal ground of the projectile thrown is $\ldots \ldots \ldots$
(A) $100 \mathrm{~m}$
(B) $50 \mathrm{~m}$
(C) $200 \mathrm{~m}$
(D) $0 \mathrm{~m}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Uniform Acceleration in Kinematics

Uniform acceleration is a key concept in kinematics where an object experiences a constant acceleration, leading to a predictable change in its velocity over time. When an additional constant force acts on a projectile, the horizontal motion no longer remains at a constant velocity but is instead governed by the equation s = v_i * t + 0.5 * a * t^2, where s is displacement, v_i is the initial velocity, a is acceleration, and t is time.

Projectile Motion

Projectile motion refers to the two-dimensional motion of an object launched into the air, where the only acceleration acting is due to gravity (vertically). In this context, the motion is analyzed by breaking the initial velocity into horizontal and vertical components, with the vertical motion determining the time of flight and the horizontal motion (initially constant in the absence of other forces) determining the displacement.

Electric Force on a Charged Particle

A charged particle in an electric field experiences a force given by F = qE, where q is the charge of the particle and E is the magnitude of the electric field. This force results in an acceleration on the particle (a = F/m) in the direction of the electric field, which when applied in conjunction with gravitational effects, alters the projectile’s trajectory and overall displacement.

Transcript

Please give Ace some feedback