Question

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 it’s mass is 7 tonnes (Hint: 1 tonne = 1000 kg.) plz answer friends ​

Answer 1

Answer:

Explanation:

ANSWER:-

• Distance is 400 metre
• Time is 20 seconds.
• We need it's acceleration,
• Given that initial speed is zero.

To find Final Speed,

$\sf{Speed = \dfrac{Distance}{Time}}$

$= \dfrac{400}{20}$

$\sf{v = 20 m/s}$

Now,

$\sf{s = ut+\dfrac{1}{2}at^2}$

$\sf{400=\dfrac{1}{2}a \times (20)^2}$

$\sf{a = \dfrac{400 \times 2}{400}}$

$\sf{a = 2m/s}$

Now,

$\sf{F=m \times a}$

$\sf{F=7000 \times 2}$

$\sf{F= 14000 \ Newton }$

Some Units:-

• Newton for Force.
• Mass is Kilogram
• Acceleration is metre per scond square.
• Speed is metre per second.

Answer 2

$\mathtt{\huge{\underline{\red{Question\:?}}}}$

★ 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 it’s mass is 7 tonnes (Hint: 1 tonne = 1000 kg.)

$\mathtt{\huge{\underline{\green{Answer:-}}}}$

✒ The acceleration is 2m/s² & the force acting on it 14000 N.

$\mathtt{\huge{\underline{\orange{Explaination:-}}}}$

Given :-

• A truck starts from rest and rolls down a hill with a constant acceleration.

• It travels a distance of 400 m in 20 s.

To Find :-

• Its acceleration.

• The force acting on it if it’s mass is 7 tonnes.

Solution :-

According to the question ,

A truck starts from rest and rolls down a hill with a constant acceleration.

• Initial velocity (u) = 0 m/s

It travels a distance of 400 m in 20 s.

• Distance covered(s) = 400m

• Time taken (t) = 20 s.

We know the second equation of motion,

s = ut + ½ at²

(We have some given data.Using in formulae.)

➝ 400 = 0 + ½ × a × (20)²

➝ 400 = 0 + ½ × a × 400

➝ $\dfrac{400}{400}$ = 0 + ½ × a

➝ 1 = ½ × a

➝ a = 2 m/s²

So, the acceleration is 2 m/s².

We have mass of 7 tonne,

=> 1 tonne = 1000 kgs

=> So , 7 tonne = 7 × 1000 = 7000 kg.

So, our mass is 7000 kg & acceleration

is 2 m/s².

We know ,

Force = mass × acceleration

➝ F = ma

➝ F = 7000 × 2

➝ F = 14000 N

The force acting on it is 14000 N.

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