An automobile vehicle has a mass of $1500\,Kg$. What must be the force between the vehicle and road if the vehicle is to be stopped with a negative acceleration of $1.7\,m{s^{ - 2}}$ ?.
Answer
648.6k+ views
Hint
Use the formula given below and substitute the values of the mass and the acceleration of the vehicle in that formula. The answer obtained shows the force acting between the vehicle and the road that must help the vehicle to stop its movement.
The Newton’s second law of motion is
$\Rightarrow F = ma$
Where $F$ is the force acting on the object, $m$ is the mass of the object and the $a$ is the acceleration acting on the object.
Complete step by step answer
The given data from the question is
The mass of the vehicle, $m = 1500\,Kg$
The acceleration acts on the vehicle, $a = - 1.7\,m{s^{ - 2}}$ (since the acceleration makes the vehicle to stop)
The acceleration of the vehicle makes it stop by the application of the frictional force. Hence the frictional force between the road and the vehicle is calculated by using Newton's second law.
By using the formula,
$\Rightarrow F = ma$
Substituting the value of the mass and the acceleration of the vehicle in the above formula,
$\Rightarrow F = 1500 \times - 1.7$
By performing multiplication,
$\Rightarrow F = - 2550\,Kgm{s^{ - 2}}$
We know that $1\,N = 1\,Kgm{s^{ - 2}}$
$\Rightarrow F = - 2550\,N$
Thus the frictional force between the road and the vehicle is $2550\,N$(negative since this stops the movement of the vehicle).
Note
The negative acceleration implies that this acceleration is required by the vehicle to stop its movement. Here the acceleration changes negative and opposite as the velocity. This acceleration that retards the movement said as the deceleration.
Use the formula given below and substitute the values of the mass and the acceleration of the vehicle in that formula. The answer obtained shows the force acting between the vehicle and the road that must help the vehicle to stop its movement.
The Newton’s second law of motion is
$\Rightarrow F = ma$
Where $F$ is the force acting on the object, $m$ is the mass of the object and the $a$ is the acceleration acting on the object.
Complete step by step answer
The given data from the question is
The mass of the vehicle, $m = 1500\,Kg$
The acceleration acts on the vehicle, $a = - 1.7\,m{s^{ - 2}}$ (since the acceleration makes the vehicle to stop)
The acceleration of the vehicle makes it stop by the application of the frictional force. Hence the frictional force between the road and the vehicle is calculated by using Newton's second law.
By using the formula,
$\Rightarrow F = ma$
Substituting the value of the mass and the acceleration of the vehicle in the above formula,
$\Rightarrow F = 1500 \times - 1.7$
By performing multiplication,
$\Rightarrow F = - 2550\,Kgm{s^{ - 2}}$
We know that $1\,N = 1\,Kgm{s^{ - 2}}$
$\Rightarrow F = - 2550\,N$
Thus the frictional force between the road and the vehicle is $2550\,N$(negative since this stops the movement of the vehicle).
Note
The negative acceleration implies that this acceleration is required by the vehicle to stop its movement. Here the acceleration changes negative and opposite as the velocity. This acceleration that retards the movement said as the deceleration.
Recently Updated Pages
If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

A solution of glucose in water is labelled as 10 dfracwv class 11 chemistry CBSE

Trending doubts
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Find the value of the expression given below sin 30circ class 11 maths CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Proton was discovered by A Thomson B Rutherford C Chadwick class 11 chemistry CBSE

Bond order ofO2 O2+ O2 and O22 is in order A O2 langle class 11 chemistry CBSE

