A body of mass 5 kg is acted upon by two perpendicular forces 8 N and 6 N. Give the magnitude

step 1 In this question we have given a body of mass 5 KG and it is acted upon by two perpendicular for

A body of mass 5 kg is acted upon by two perpendicular...

A body of mass $5 \mathrm{~kg}$ is acted upon by two perpendicular forces $8 \mathrm{~N}$ and $6 \mathrm{~N}$. Give the magnitude and direction of the acceleration of the body (a) $2 \mathrm{~m} / \mathrm{s}^{2}$ at an angle $3 \underline{*}$ to force (b) $2 \mathrm{~m} / \mathrm{s}^{2}$ at an angle $57^{\prime}$ to force (c) $4 \mathrm{~m} / \mathrm{s}^{2}$ at angle $37^{*}$ to force (d) $4 \mathrm{~m} / \mathrm{s}^{2}$ at an angle 57 to force

A body of mass $5 \mathrm{~kg}$ is acted upon by two perpendicular forces $8 \mathrm{~N}$ and $6 \mathrm{~N}$. Give the magnitude and direction of the acceleration of the body
(a) $2 \mathrm{~m} / \mathrm{s}^{2}$ at an angle $3 \underline{*}$ to force
(b) $2 \mathrm{~m} / \mathrm{s}^{2}$ at an angle $57^{\prime}$ to force
(c) $4 \mathrm{~m} / \mathrm{s}^{2}$ at angle $37^{*}$ to force
(d) $4 \mathrm{~m} / \mathrm{s}^{2}$ at an angle 57 to force

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

Determining Direction Using Trigonometry

The direction of the resultant force (and hence the acceleration) can be found using trigonometric functions, such as the inverse tangent, which relates the ratio of the force components to the angle of the resultant vector relative to a reference axis.

Calculating Magnitude of a Resultant Vector

After vector addition, the magnitude of the net force can be determined using the Pythagorean theorem by treating the components as sides of a right triangle. This step is crucial for finding the resultant acceleration when the force's effect in multiple directions is combined.

Newton's Second Law

This principle states that the acceleration of an object is directly proportional to the net force acting upon it and inversely proportional to its mass. It provides the fundamental relation F = m*a, which is essential when determining how forces affect motion.

Vector Addition of Forces

When multiple forces act on a body, especially at angles, they must be combined using vector addition. This involves breaking the forces into their components along mutually perpendicular axes and then summing these components to find the net force.

Transcript

Please give Ace some feedback