Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

1. why should an iron almirah be called solid? three marks questions : …

Question

  1. why should an iron almirah be called solid?

three marks questions :
. a truck starts from rest and rolls down a hill with a constant acceleration. it travels a distance of 400 m in 20 s. find its acceleration. find the force acting on it if its mass is 7 tonnes. (1 tonne = 1000kg)
. derive the formula of force using newton law of motion.
. differentiate between plant cell and animal cell.
. differentiate between colloidal and suspensions.
.differentiate between distance and displacement.
. a train is travelling at a speed of 90 km/h brakes are applied so as to produce a uniform acceleration

Explanation:

Response
1. Why should an iron almirah be called solid?
Brief Explanations

An iron almirah has definite shape and volume. Its particles are closely packed with strong intermolecular forces, characteristic of solids.

Step1: Use the second - equation of motion

The second - equation of motion is $s = ut+\frac{1}{2}at^{2}$. Since the truck starts from rest, $u = 0$. The equation becomes $s=\frac{1}{2}at^{2}$. We need to solve for $a$.
$s = 400m$, $t = 20s$. Rearranging for $a$, we get $a=\frac{2s}{t^{2}}$.
$a=\frac{2\times400}{20^{2}}$

Step2: Calculate the acceleration

$a=\frac{800}{400}=2m/s^{2}$

Step3: Calculate the mass in kg

The mass of the truck $m = 7$ tonnes. Since 1 tonne = 1000 kg, $m=7\times1000 = 7000kg$

Step4: Use Newton's second law to find the force

Newton's second law is $F = ma$. Substituting $m = 7000kg$ and $a = 2m/s^{2}$, we get $F=7000\times2$
$F = 14000N$

Step1: State Newton's second law

Newton's second law states that the rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction in which the force acts.
Momentum $p=mv$, where $m$ is the mass and $v$ is the velocity.
The rate of change of momentum $\frac{\Delta p}{\Delta t}=\frac{p_{2}-p_{1}}{t_{2}-t_{1}}$
If the mass $m$ is constant, $p_{2}=mv_{2}$ and $p_{1}=mv_{1}$
So, $\frac{\Delta p}{\Delta t}=\frac{mv_{2}-mv_{1}}{t_{2}-t_{1}}=m\frac{v_{2}-v_{1}}{t_{2}-t_{1}}$

Step2: Recall the formula for acceleration

We know that acceleration $a=\frac{v_{2}-v_{1}}{t_{2}-t_{1}}$

Step3: Obtain the force formula

Since $\frac{\Delta p}{\Delta t}\propto F$ and $\frac{\Delta p}{\Delta t}=ma$, and taking the proportionality constant as 1 (in SI units), we get $F = ma$

Answer:

An iron almirah is called solid because it has a definite shape and volume, and its particles are closely - packed with strong intermolecular forces.

2. A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of 400 m in 20 s. Find its acceleration. Find the force acting on it if its mass is 7 tonnes. (1 tonne = 1000 kg)