Question

A 900 kg SUV is traveling at a constant speed of 1.44 m/s due north. What is the total force (in N) on the vehicle? (Assume north is the positive direction. Indicate the direction with the sign of your answer.)

Answer 1

Explanation:

It is given that,

Mass of SUV, m = 900 kg

It is moving with a constant speed of 1.44 m/s due south. We need to find the total force on the vehicle. The second law of motion gives the magnitude of force acting on the object. It is given by :

F = m a

Since, $a=\dfrac{dv}{dt}$ i.e. the rate of change of velocity

As SUV is travelling at a constant speed. This gives acceleration of it as zero.

So, F = 0

So, the total force acting on SUV is 0 N. Hence, this is the required solution.

Answer 2

Answer:

The total force acting on the vehicle is 0 N.

Explanation:

Given that,

Mass of SUV = 900 kg

Velocity = 1.44 m/s

SUV is travelling at a constant speed of 1.44 m/s due north.

We need to calculate the force on the vehicle.

Using newton's second law

$F = ma$....(I)

We know that,

The acceleration is the first derivative of the velocity of the particle.

$a = \dfrac{dv}{dt}$

Now,put the value of a in equation (I)

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

SUV is traveling at a constant speed it means acceleration is zero.

So, The force will be zero.

Hence, The total force acting on the vehicle is 0 N.