An object falling in a vacuum near a planet has a charge of -4 ×10^-8 C and a mass of 0.3 kg . I

Name: Problem 24, Chapter 13: Matter & Interactions
Uploaded: 2022-04-09T17:44:17-08:00
Duration: 1 min 10 s
Channel: Adriano Chikande
Description: An object falling in a vacuum near a planet has a charge of -4 ×10^-8 C and a mass of 0.3 kg . In this region of space there is an electric field ⟨2 ×10^7, 0,0⟩N / C and a gravitational field ⟨0,5,0⟩N/kg. What is the net force acting on the object?

step 1 In answering this question we need to recall that the net force that is acting on a particle or

Question

An object falling in a vacuum near a planet has a charge of $-4 \times 10^{-8} \mathrm{C}$ and a mass of $0.3 \mathrm{kg} .$ In this region of space there is an electric field $\left\langle 2 \times 10^{7}, 0,0\right\rangle \mathrm{N} / \mathrm{C}$ and a gravitational field \langle 0,5,0\rangle N/kg. What is the net force acting on the object?

   An object falling in a vacuum near a planet has a charge of $-4 \times 10^{-8} \mathrm{C}$ and a mass of $0.3 \mathrm{kg} .$ In this region of space there is an electric field $\left\langle 2 \times 10^{7}, 0,0\right\rangle \mathrm{N} / \mathrm{C}$ and a gravitational field \langle 0,5,0\rangle N/kg. What is the net force acting on the object?

Matter & Interactions

Ruth W. Chabay,… 4th Edition

Chapter 13, Problem 24

Instant Answer

Solved by Expert Adriano Chikande

04/09/2022

Step 1

The gravitational force is given by the equation $F_{g} = m \cdot g$, where $m$ is the mass of the object and $g$ is the gravitational field. In this case, $m = 0.3 \, \mathrm{kg}$ and $g = \langle 0,5,0 \rangle \, \mathrm{N/kg}$. So, the gravitational force is Show more…

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An object falling in a vacuum near a planet has a charge of $-4 \times 10^{-8} \mathrm{C}$ and a mass of $0.3 \mathrm{kg} .$ In this region of space there is an electric field $\left\langle 2 \times 10^{7}, 0,0\right\rangle \mathrm{N} / \mathrm{C}$ and a gravitational field \langle 0,5,0\rangle N/kg. What is the net force acting on the object?

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Key Concepts

Electric Force

Electric force is the force exerted on a charged object when it is placed in an electric field. It is calculated as the product of the object's charge and the electric field vector, and its direction depends on the sign of the charge relative to the direction of the field.

Gravitational Force

Gravitational force is the force acting on an object due to gravity. It is given by the product of the object's mass and the gravitational field, and it always acts in the direction of the gravitational field.

Vector Addition

Vector addition is the process of combining multiple forces by adding their corresponding components to determine the net force acting on an object. This method ensures that both magnitude and direction are considered, which is critical when forces are not aligned along a single straight line.

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