Answer

Verified

372.6k+ views

**Hint:**Kinematics is a branch of physics that deals with the motion of points, bodies (objects), and structures of bodies (groups of objects) without taking into account the forces that drive them. Kinematics is often referred to as the "geometry of motion" and is often considered a branch of mathematics.

**Formula used:**

Formulas of Kinematics are:

$V = u + at \\

{V^2} = {u^2} + 2as \\

s = ut + \dfrac{1}{2}a{t^2}$

**Complete step by step answer:**

According to Newton’s second law: The second law states that the rate at which a body's momentum changes over time is proportional to the force applied and occurs in the same direction as the applied force.

$F = \dfrac{{dp}}{{dt}}$

Where $p$ is the mass momentum of the body.

The second law can be re-stated in terms of an object's acceleration for objects and structures with constant mass.

$F = \dfrac{{d(mv)}}{{dt}} \\

\Rightarrow F= m\dfrac{{dv}}{{dt}} \\

\Rightarrow F = ma$

Where \[F\] is the applied net force, $m$ is the body's mass, and $a$ is the body's acceleration. As a result, a proportional acceleration is generated by the net force applied to a body.

Given: Mass of the bullet $(m) = 20\,g= 0.02\,kg$

Initial velocity $(u) = 100$ m/s

Final velocity $(v) = 0$ (since the bullet has come to a rest)

Time taken to come to rest $(t) = 0.05s$

According to the first equation of kinematics:

$V = u + at$

Acceleration of the bullet (a)

$0 = 100 + a( - 0.05) \\

\Rightarrow a = - \dfrac{{100}}{{0.05}} \\

\Rightarrow a = - 2000\,m/{s^2} \\$

The negative sign here means that the bullet's velocity is decreasing.

From Newton’s law of motion we know that:

$\text{Force(F)} = \text{Mass} \times \text{Acceleration}$

$\Rightarrow F = 0.02 \times ( - 2000)$

$\therefore F = - 40\,N$

**As a result, the force exerted on the bullet by the wooden block is 50 N.**

**Note:**A condition that must be met in order to apply motion equations. It should be much slower than the speed of light in order to avoid relativistic effects. If $v$ is the object's velocity and $c$ is the speed of light, then Newton's laws of motion should apply if $v$ and $c$ are very close to $0$. It is not necessary to maintain constant acceleration or travel in a straight line.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Which are the Top 10 Largest Countries of the World?

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE