Question

1. A force of 45.6 N is applied to a 2.00 kg disc. What is the disk acceleration? 5 points

2. Find the force that causes an acceleration of 6.4 m/s2 to a mass object of 0.50 kg. 5 points

3. A force of 5.34 N acts for 4.23 seconds on a mass that is initially at rest and causes it to move at a distance of 4.75 meters in a straight line. Determine the mass. 10 points

Answer 1

Let,

• : be the force.
• : be the mass
•    : be the acceleration
•    : be the time
• : be the distance.
• : be the initial velocity.

Newton's second law of motion states that the force applied on a body of mass m cause it to accelerate in the direction of the force applied. Mathematically it is given as,

1. A force of 45.6 N is applied to a 2.00 kg disc. What is the disk acceleration? :-

Given:-

• 
• 

The acceleration is given by,

This is the acceleration of the disc.

2. Find the force that causes an acceleration of 6.4 m/s2 to a mass object of 0.50 kg. :-

Given:-

• 
• 

The force is given by,

This is the required force.

3. A force of 5.34 N acts for 4.23 seconds on a mass that is initially at rest and causes it to move at a distance of 4.75 meters in a straight line. Determine the mass. :-

Given:-

• 
• 
• 

We have given that the mass is initially at rest, therefore the initial velocity will be zero.

• 

From kinematic equation we have,

By plugging all the known values in above equation we get,

Now, from Newton's second law of motion we have,

This is the required mass of an object.