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Question No. 1
The driver of a 2.0 × 103 kg red car traveling on the highway at 45m/s slams on his brakes to avoid striking a second yellow car in front of him, which had come to rest because of blocking ahead as shown in above Fig. After the brakes are applied, a constant friction force of 7.5 × 103 N acts on the car. Ignore air resistance.
(a) Determine the least distance should the brakes be applied to avoid a collision with the other vehicle?
(b) If the distance between the vehicles is initially only 40.0 m, at what speed would the collision occur?
(c) Write your conclusive observations on the result obtained from this numerical. i.e. the importance of Physics in daily life.
Give data of Problem:
Mass of car is =2.0*103kg
Velocity of car is = u =45m\s
Friction force Is =v=0
Final velocity=v=0
Frictional force Is =7.5*103N
Question (a)
Determine the least distance=s=d=?
First of all we need acceleration
Ffr = uk.N = uk.mg
Friction force=normal force in opposition direction
Fn = -Ffr
–uk mg = ma
a=-uk.g
(g=9.8 and u=7.5*103)
A = -73.5*103
By putting their value we find out
S= 0.0137m
Question (b)
What speed would the occur with velocity=40.0 m?
Here vi=40m/s
Solution:
V2 = u2+2as
V2 = (40)2 + (-2013.9)
V2 = 1600 – 2013.9
V = -20.34m/s
Question (c )
Write your conclusive observations on the result obtained from this numerical. i.e. the importance of Physics in daily life.
Answer:
The given result shows that Law of Newtons play key role in our life. And When we look deep this scenario according to physics then we can also see the it’s importance in daily life.
The given situation mainly focuses on Newtons Law of Motion. Moreover also on the following examples;
1. Brakes applied by a Bus Driver Abruptly
2. An Object Placed on a Plane Surface
3. Marathoner Running beyond Finish Line
4. A Ball Rolling on the Ground
5. An Object Thrown in Outer Space
9. The Jerk when a Vehicle Starts
10. Athlete taking a Short Run before Long/High Jump
Final Words
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