A 1500 kg car moving at 20 km / h is accelerated at a constant rate of 4 m / s^2 up to a spee

Name: Problem 31, Chapter 1: Fundamentals of Thermodynamics
Uploaded: 2022-01-29T21:55:20-08:00
Duration: 2 min 9 s
Channel: Mahnoor Khan
Description: A 1500 kg car moving at 20 km / h is accelerated at a constant rate of 4 m / s^2 up to a speed of 75 km / h. What are the force and total time required?

step 1 So let's start with the termina of this question. So it says that there is a 15 kilogram car, ri

Question

A $1500 \mathrm{~kg}$ car moving at $20 \mathrm{~km} / \mathrm{h}$ is accelerated at a constant rate of $4 \mathrm{~m} / \mathrm{s}^{2}$ up to a speed of $75 \mathrm{~km} / \mathrm{h}$. What are the force and total time required?

   A $1500 \mathrm{~kg}$ car moving at $20 \mathrm{~km} / \mathrm{h}$ is accelerated at a constant rate of $4 \mathrm{~m} / \mathrm{s}^{2}$ up to a speed of $75 \mathrm{~km} / \mathrm{h}$. What are the force and total time required?

Fundamentals of Thermodynamics

Claus Borgnakke,… 8th Edition

Chapter 1, Problem 31

Instant Answer

Solved by Expert Mahnoor Khan

01/29/2022

Step 1

We can do this by multiplying the given velocities by $\frac{1000}{3600}$ (since 1 km = 1000 m and 1 hour = 3600 seconds). The initial velocity $v_1$ is given as 20 km/h. Converting this to m/s, we get: \[v_1 = 20 \times \frac{1000}{3600} = 5.56 \, Show more…

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A $1500 \mathrm{~kg}$ car moving at $20 \mathrm{~km} / \mathrm{h}$ is accelerated at a constant rate of $4 \mathrm{~m} / \mathrm{s}^{2}$ up to a speed of $75 \mathrm{~km} / \mathrm{h}$. What are the force and total time required?

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Key Concepts

Newton's Second Law

This principle states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). It is fundamental in analyzing scenarios where a constant force is applied, such as computing the force required to accelerate a vehicle.

Kinematics and Constant Acceleration

Kinematics deals with the equations of motion that relate displacement, velocity, acceleration, and time under the assumption of constant acceleration. These equations allow us to determine quantities like the time required to change the speed of an object when its acceleration is known.

Unit Conversion

Unit conversion is essential in physics to maintain consistency across measurements, typically converting given values into SI units. For example, speeds provided in kilometers per hour need to be converted to meters per second when using kinematic equations and Newton’s Second Law.

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