2Type 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
