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Question: A force of \(50\,N\) is required to push a car on a level road with constant speed of 10 m/s. The ma...

A force of 50 N50\,N is required to push a car on a level road with constant speed of 10 m/s. The mass of the car is 500 kg500\,kg. What force should be applied to make the car accelerate at 2 ms−2m{s^{ - 2}}.
A. 1050 N
B. 1000 N
C. 1100 N
D. 1500 N

Explanation

Solution

In physics, a force is any contact that, while unopposed, causes an object to change its velocity. A force can cause a mass item to change its velocity (which includes starting to move from a standstill), i.e. accelerate. Intuitively, force may be characterised as a push or a pull. A force is a vector quantity since it has both magnitude and direction. The SI unit of Newton is used to measure it (N). The letter F is used to indicate force. This concept is used to address the problem.

Formula used:
F=maF = ma
Here, MM = mass and AA = acceleration due to gravity.

Complete step by step answer:
Newton's laws of motion are three laws that define the connection between an object's motion and the forces acting on it in classical mechanics. Newton's second law says that an object's acceleration is proportional to its net force and inversely proportional to its mass.

An object's acceleration is determined by two factors: force and mass. This demonstrates that the bowling is subjected to a substantially larger power. Because the automobile must proceed at a constant speed, a force of 50 N50\,N is necessary. Additional effort required to move a 500 kg500\,kg automobile travelling at 2 ms−2m{s^{ - 2}} is provided by
F=ma ⇒F=500×2 ⇒F=1000 NF=ma \\\ \Rightarrow F=500 \times 2 \\\ \Rightarrow F=1000\,N
As a result, the total force exerted
F=1000+50F = 1000+50
∴F= 1050 N\therefore F = {\text{ }}1050\, N

Hence option A is correct.

Note: Never forget to add the excess force at the end. Isaac Newton gathered the three principles of motion in his Philosophi Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), which was originally published in 1687. They were employed by Newton to describe and explore the motion of a variety of physical objects and systems, laying the groundwork for Newtonian mechanics.