Question

1. A vehicle has a mass of 1500 kg. What must be the force between the vehicle and the
road if the vehicle is to be stopped with a negative acceleration of 1.7 ms 2?
(Ans:--2550 N in a direction opposite to that of the motion of the vehicle) (AS)
​

Answer 1

Given :

• Mass of a vehicle, m = 1500 kg
• Acceleration, a = - 1.7 m/s²

To find :

• Force between the vehicle and the road, F

According to the question,

➞ Force = Mass × Acceleration

Or,

➞ F = ma

➞ F = 1500 × (- 1.7)

➞ F = - 2550

• So,the force between the vehicle and the road is - 2550 Newton.

Note : Negative signs means that the force is acting on opposite direction.

___________________

Retardation ;

Negative acceleration is known as retardation.

• SI unit is m/s²

More formulas :

Newton's first equation of motion :

• v = u + at

Newton's second equation of motion :

• s = ut + ½ at²

Newton's third equation of motion :

• v² = u² + 2as

Answer 2

Answer:

Given :-

• A vehicle has a mass of 1500 kg. The vehicle is to be stopped with a negetive acceleration of - 1.7 m/s².

To Find :-

• What is the force between the vehicle and the road.

Formula Used :-

By using second law of motion we know that,

★ Force = Mass × Acceleration ★

Solution :-

Given :

• Mass = 1500 kg
• Acceleration = - 1.7 m/s²

According to the question by using the formula we get,

⇒ F = ma

⇒ F = 1500 × (- 1.7)

➠ F = - 2550 N

∴ The force between the vehicle and the road is - 2550 N .

✯ Extra Information ✯

⍟︎ Newton's 1st Law of Motion :-

• Newton's 1st law states that the body at rest or uniform motion will be continued to be at rest or uniform motion untill and unless a net force acts on it.

⍟︎ Newton's 2nd Law of Motion :-

• Newton's 2nd law states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force in the same direction.

⍟︎ Newton's 3rd Law of Motion :-

• Newton's 3rd law of motion states that for every action there is an equal and opposite reaction.

✦ Important Formula ✦

⋆ First equation of motion :

↦ v = u + at

⋆ Second equation of motion :

↦ s = ut + ½ at²

⋆ Third equation of motion :

↦ v² = u² + 2as