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A Jeep with a mass of 1279 kg was initially traveling at a speed of 17.4 m/s when the brakes are applied. The Jeep travels a distance of 35.9 m before coming to rest. Find the braking force.

Answer :

Final answer:

To find the braking force of the Jeep, start by calculating the deceleration from the known initial velocity and distance using the equation of motion. Then use Newton's Second Law to find the braking force by multiplying the calculated deceleration by the Jeep's mass.

Explanation:

This problem can be solved using the concepts of physics, specifically the principles of kinematics and Newton's Second Law. To start, you can use the equation of motion (v² = u² + 2as) where 'v' is the final velocity, 'u' the initial velocity, 'a' the acceleration, and 's' the distance travelled. Here, 'v' is 0 m/s as the Jeep comes to rest, 'u' is 17.4 m/s, and 's' is 35.9 m. Solving for acceleration 'a' will get you a negative value because the speed of the Jeep decreases.

Next, apply Newton's Second Law (F = ma) where 'F' is the force, 'm' the mass, and the just calculated 'a' the deceleration. Insert the Jeep's mass (1279 kg) and your calculated 'a' into this formula to find the braking force.

Learn more about Physics - Braking Force here:

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