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A car accelerates uniformly from rest to 20m/s in 8 seconds. The mass of the car is 1000kg (a)calculate the acceleration of the car (b)calculate minimum force needed to produce the acceleration?
Most Upvoted Answer
A car accelerates uniformly from rest to 20m/s in 8 seconds. The mass ...
Calculating Acceleration
To calculate the acceleration of the car, we use the formula a = (v_f - v_i) / t, where v_f is the final velocity (20m/s), v_i is the initial velocity (0m/s), and t is the time taken (8 seconds).
a = (20m/s - 0m/s) / 8s = 2.5m/s^2
Therefore, the acceleration of the car is 2.5m/s^2.
Calculating Minimum Force
To calculate the minimum force needed to produce the acceleration, we use the formula F = ma, where F is the force, m is the mass of the car (1000kg), and a is the acceleration (2.5m/s^2).
F = ma = 1000kg * 2.5m/s^2 = 2500N
Therefore, the minimum force needed to produce the acceleration is 2500N.
Explanation
Acceleration is the rate at which the velocity of an object changes over time. In this case, the car starts from rest and reaches a velocity of 20m/s in 8 seconds, so it has an acceleration of 2.5m/s^2. The force needed to produce this acceleration is dependent on the mass of the car and the acceleration itself. Using the formula F = ma, we can calculate the minimum force needed to produce the acceleration as 2500N. This force is required to overcome the initial inertia of the object and to accelerate it uniformly.
To calculate the acceleration of the car, we use the formula a = (v_f - v_i) / t, where v_f is the final velocity (20m/s), v_i is the initial velocity (0m/s), and t is the time taken (8 seconds).
a = (20m/s - 0m/s) / 8s = 2.5m/s^2
Therefore, the acceleration of the car is 2.5m/s^2.
Calculating Minimum Force
To calculate the minimum force needed to produce the acceleration, we use the formula F = ma, where F is the force, m is the mass of the car (1000kg), and a is the acceleration (2.5m/s^2).
F = ma = 1000kg * 2.5m/s^2 = 2500N
Therefore, the minimum force needed to produce the acceleration is 2500N.
Explanation
Acceleration is the rate at which the velocity of an object changes over time. In this case, the car starts from rest and reaches a velocity of 20m/s in 8 seconds, so it has an acceleration of 2.5m/s^2. The force needed to produce this acceleration is dependent on the mass of the car and the acceleration itself. Using the formula F = ma, we can calculate the minimum force needed to produce the acceleration as 2500N. This force is required to overcome the initial inertia of the object and to accelerate it uniformly.
Community Answer
A car accelerates uniformly from rest to 20m/s in 8 seconds. The mass ...
Acceleration = 2•5
force = 2500
u = 0 m/s
v=20m/s
to=8sec
a=v-u/t
20/8
2.5
f= ma
2000x2.5
2500
force = 2500
u = 0 m/s
v=20m/s
to=8sec
a=v-u/t
20/8
2.5
f= ma
2000x2.5
2500
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A car accelerates uniformly from rest to 20m/s in 8 seconds. The mass of the car is 1000kg (a)calculate the acceleration of the car (b)calculate minimum force needed to produce the acceleration?
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A car accelerates uniformly from rest to 20m/s in 8 seconds. The mass of the car is 1000kg (a)calculate the acceleration of the car (b)calculate minimum force needed to produce the acceleration? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A car accelerates uniformly from rest to 20m/s in 8 seconds. The mass of the car is 1000kg (a)calculate the acceleration of the car (b)calculate minimum force needed to produce the acceleration? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car accelerates uniformly from rest to 20m/s in 8 seconds. The mass of the car is 1000kg (a)calculate the acceleration of the car (b)calculate minimum force needed to produce the acceleration?.
A car accelerates uniformly from rest to 20m/s in 8 seconds. The mass of the car is 1000kg (a)calculate the acceleration of the car (b)calculate minimum force needed to produce the acceleration? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A car accelerates uniformly from rest to 20m/s in 8 seconds. The mass of the car is 1000kg (a)calculate the acceleration of the car (b)calculate minimum force needed to produce the acceleration? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car accelerates uniformly from rest to 20m/s in 8 seconds. The mass of the car is 1000kg (a)calculate the acceleration of the car (b)calculate minimum force needed to produce the acceleration?.
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