An object of mass 200.0kg is moving from rest under the influence of net force 1.0Kn.Find the acceleration of the object and work done within 20.0s.What is the velocity of the object at the end of 20.0s interval of time? Calculate the kinetic energy

To find the acceleration of the object, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.

1. First, convert the given net force from kilonewtons (kN) to newtons (N). Since 1 kN = 1000 N, the net force is 1.0 kN = 1000 N.

2. Apply Newton's second law of motion:

F = m * a

Where F is the net force, m is the mass of the object, and a is the acceleration.

1000 N = 200.0 kg * a

Solve for a:

a = 1000 N / 200.0 kg

a = 5.0 m/s^2

So, the acceleration of the object is 5.0 m/s^2.

To find the work done on the object within the 20.0 s interval of time, we need to use the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy.

3. Calculate the work done:

W = F * d

Where W is the work done, F is the net force, and d is the distance traveled by the object.

Since the object starts from rest, the distance traveled can be calculated using the formula:

d = (1/2) * a * t^2

Where t is the time interval, which is 20.0 s.

Substitute the known values into the equation:

d = (1/2) * 5.0 m/s^2 * (20.0 s)^2

d = 200.0 m

Now, calculate the work done:

W = 1000 N * 200.0 m

W = 200,000 N·m or 200,000 J (joules)

So, the work done on the object within 20.0 s is 200,000 joules.

To find the velocity of the object at the end of the 20.0 s interval of time, we can use the kinematic equation:

4. Calculate the velocity at the end of the 20.0 s interval of time:

v = u + a * t

Where v is the final velocity, u is the initial velocity (which is 0 since the object starts from rest), a is the acceleration, and t is the time interval.

Substitute the known values into the equation:

v = 0 + 5.0 m/s^2 * 20.0 s

v = 100.0 m/s

So, the velocity of the object at the end of the 20.0 s interval of time is 100.0 m/s.

To calculate the kinetic energy of the object, we can use the formula:

5. Calculate the kinetic energy:

KE = (1/2) * m * v^2

Where KE is the kinetic energy, m is the mass of the object, and v is the velocity.

Substitute the known values into the equation:

KE = (1/2) * 200.0 kg * (100.0 m/s)^2

KE = 1,000,000 J (joules)

So, the kinetic energy of the object is 1,000,000 joules.