A car is driven at 60 km / h and is brought to a full stop with constant deceleration in 5 s. If

step 1 So in this problem we want to find the force needed to stop a car that's driving at 60 kilometer

A car is driven at 60 km / h and is brought to a full stop...

A car is driven at $60 \mathrm{km} / \mathrm{h}$ and is brought to a full stop with constant deceleration in 5 s. If the total car and driver mass is $1075 \mathrm{kg}$, find the necessary force.

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Key Concepts

Newton's Second Law

Newton's Second Law is a fundamental principle in physics that states that the acceleration of an object is directly proportional to the net force acting upon it and inversely proportional to its mass (F = ma). This principle is used to calculate the force required to bring an object to stop or change its motion, such as in the case of the decelerating car.

Kinematics

Kinematics deals with the description of motion without considering its causes. In this context, kinematic equations relate an object's initial velocity, final velocity, acceleration, and time. The equation v = u + at is particularly important here in calculating the deceleration of the car over a given time interval.

Unit Conversion

Unit conversion is vital when working with physical quantities expressed in different measurement systems. For instance, converting the car's speed from kilometers per hour (km/h) to meters per second (m/s) ensures consistency in units when using kinematic equations and Newton's second law.

Deceleration

Deceleration is the process of slowing down, and it is defined as negative acceleration. In problems involving a car coming to a stop, deceleration is calculated using the change in velocity over time, which is then used in Newton's Second Law to find the force required to bring the car to a full stop.

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