Rank these cars on the basis of their speed a short time (ie. before any car's speed can reach zero) after the forces are applied.
Rank these cars on the basis of their speed a short time (ie. before any car's speed can reach zero) after the forces are applied.
Rank from largest to smallest. To rank items as equivalent, overlap them.
Homework Answers
Net Force:
a) 0N
b) 5 - (2*5cos45) = -2.07N
c) 0N
d) 10N
e) 0N
f) 10 - (2*5cos45) = 2.93N
Concepts and reason
The concepts used to solve this problem are Newton’s laws of motion and acceleration.
First calculate the net force acting on the car and then use the expression for the acceleration to rank the cars on the basis of their speed.
Fundamentals
Newton’s second law of motion states that the acceleration of the object is directly proportional to the net force acting on the object and inversely proportional to the mass of the object and is represented as follows:
Here, 
is the net force acting on the object and m is the mass of the object.
The acceleration of the object is the rate of change of velocity of the object and the expression for the acceleration of the object is given by,
Here, 
is the change in the velocity of the object and 
is the time interval in which the velocity of the object is changing.
[Starting Hint]
Calculate the net force acting on the car 1 and then calculate the acceleration of the car 1 by using Newton’s second law of motion.
The order of the cars base on their speeds is :
General guidance
The concepts used to solve this problem are Newton\u2019s laws of motion and acceleration.
First calculate the net force acting on the car and then use the expression for the acceleration to rank the cars on the basis of their speed.
Newton\u2019s second law of motion states that the acceleration of the object is directly proportional to the net force acting on the object and inversely proportional to the mass of the object and is represented as follows:
Here, 
is the net force acting on the object and m is the mass of the object.
The acceleration of the object is the rate of change of velocity of the object and the expression for the acceleration of the object is given by,
Here, 
is the change in the velocity of the object and 
is the time interval in which the velocity of the object is changing.
[Starting Hint]
Calculate the net force acting on the car 1 and then calculate the acceleration of the car 1 by using Newton\u2019s second law of motion.
Step-by-step
Step 1 of 6
The following figure shows the direction of the forces acting on the car 2.
From the figure, net force acting on the car 2 is given by,
The expression for the acceleration of the object is given by,
Substitute 
for 
in above equation as follows:
The acceleration of the car is directly proportional to the net force acting on the car. The acceleration of the car becomes zero when the net force acting on the car is zero.
Step 2 of 6
The following figure shows the direction of the forces acting on the car 3.
From the figure it is clear that, there are no forces acting on the car 3 and is given by,
The expression for the acceleration of the object is given by,
Substitute 
for 
in above equation as follows:
The car accelerates when there is force acting on the car. When there are no forces acting on the car then there is no acceleration and it moves with constant speed of 2 m/s.
Step 3 of 6
The following figure shows the direction of the forces acting on the car 4.
From the figure, net force acting on the car 1 is given by,
The expression for the acceleration of the object is given by,
Substitute 
for 
in above equation as follows:
The net force acting on the car 4 is positive and hence, the car 4 accelerates.
Step 4 of 6
The following figure shows the direction of the forces acting on the car 5.
From the figure, net force acting on the car 5 is given by,
The expression for the acceleration of the object is given by,
Substitute 
for 
in above equation as follows:
The net force acting on the car 5 is zero because the sum of the two forces acting towards left is equal in magnitude and opposite in direction of the force 10 N.
Step 5 of 6
The following figure shows the direction of the forces acting on the car 6.
From the figure, net force acting on the car 6 is given by,
The expression for the acceleration of the object is given by,
Substitute 
for 
in above equation as follows:
There is only one force acting on the car 6 and it is towards right. Hence, the car 6 accelerates.
Step 6 of 6
The expression for the acceleration of the car is given by,
Here, v is the speed of the car and t is the acceleration of the car.
From the above relation the acceleration of the car is directly proportional to the speed of the car.
Based on the car\u2019s acceleration, the order of the cars is given by,
The order of the cars base on their speeds is 
.
Explanation
The speed of the car is directly proportional to the acceleration of the car and time.
Answer
The order of the cars base on their speeds is 
.
Answer only
The order of the cars base on their speeds is 
.
Just got the question on Mastering Physics and it was correct with this answer:
6, 2, (1,3,5), 4
(Numbers are given to each car from left to right from OPs picture of the problem)
Add Answer to:
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