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Numerical problems on Newton's Laws of Motion

Soumi R.
09/04/2018 2 2

Type 1:

Question 1: Calculate the force needed to speed up a car with a rate of 5ms–2, if the mass of the car is 1000 kg.

Solution: According to question:

Acceleration (a) = 5m/s2 and Mass (m) = 1000 kg, therefore, Force (F) =?
We know that, F = m x a
= 1000 kg x 5m/s2
= 5000 kg m/s2
Therefore, required Force = 5000 m/s2 or 5000 N

Question 2: If the mass of a moving object is 50 kg, what force will be required to speed up the object at a rate of 2ms–2?

Solution: According to the question;

Acceleration (a) = 2ms–2 and Mass (m) = 50 kg, therefore, Force (F) =?
We know that, F = m x a
= 50 kg x 2m/s2
= 100 kg m/s2
Therefore, required Force = 100 m/s2 or 100 N

Question 3: To accelerate a vehicle to 3m/s2 what force will be needed if the mass of the vehicle is equal to 100 kg?

Solution: According to the question:

Acceleration (a) = 3m/s2 and Mass (m) = 100 kg, therefore, Force (F) =?
We know that, F = m x a
= 100 kg x 3m/s2
= 300 kg m/s2
Therefore, required Force = 300 m/s2 or 300 N

Type II:

Question 1: To accelerate an object to a rate of 2m/s2, 10 N force is required. Find the mass of object.

Solution: According to the question:

Acceleration (a) = 2m/s2, Force (F) = 10N, therefore, Mass (m) = ?
We know ,

F=m×a

10N=m×2m/s2

m=10/2 kg=5 kg

Thus, the mass of the object = 5 kg

Question 2: If 1000 N force is required to accelerate an object to the rate of 5m/s2, what will be the weight of the object?

Solution: According to the question,

Acceleration (a) = 2m/s2, Force (F) = 1000N, therefore, Mass (m) = ?
We know that,

F=m×a

1000N=m×5 m/s2

m=1000/5 kg=200 kg

Thus, the mass of the object = 200 kg

Question 3: A vehicle accelerate at the rate of 10m/s2 after the applying of force equal to 50000 N. Find the mass of the vehicle.

Solution: According to the question,

Acceleration (a) = 10 m/s2, Force (F) = 50000N, therefore, Mass (m) = ?
We know that,

F=m×a

50000 N=m×10m/s2

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Sayali | 25/01/2021

This question so easy

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Prachi Kaushik | 26/05/2020

These are too easy I didn't even need paper-pen to solve them please put somehow harder questions in it. This time I'm giving you an unlike sign if you will improve it then it may change to a like😊😊

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