In this example we consider a problem in which the weight of an object is given

Question

In this example we consider a problem in which the weight of an object is given directly, but not its mass. To use Newton’s second law, we will, of course, first have to determine the object’s mass. A big luxury car weighing 1.96×104N (about 4400 lb), traveling in the +x direction, makes a fast stop; the x component of the net force acting on it is 1.50×104N. His acceleration can be written as 0.77g

A.) If passenger comfort requires that the acceleration should be no greater in magnitude than 0.30 g , what distance is required to stop the car if its speed is initially 10 m/s (roughly 20 mi/h )?

B.) What force is required?

Explanation / Answer

Here,

a = 0.3g

a = 0.3 * 9.8

a = 2.94 m/s^2

For finding the distance ,

using third equation of motion ,

d = v^2/2a

d = 10^2/(2*2.94)

d = 17m

The Force will be

F=m*2.94

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