what will be the speed of a 5oo kilogram mass satellite if we apply 100N force on it after each second till 10 hours and the current velocity of this satellite is 16,800 miles per hour?
To find the final speed of the satellite, you can use the concept of Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
Here's how you can calculate the speed of the satellite:
1. Convert the mass of the satellite from kilograms to Newtons:
Mass = 500 kg
2. Determine the acceleration of the satellite:
Force = 100 N (applied force on the satellite)
Acceleration = Force / Mass
3. Calculate the net force applied over 10 hours:
Total Force = Force x Time
Note: Since force is applied after each second for 10 hours, there are 60 seconds in a minute, 60 minutes in an hour, and 10 hours in total.
Total Force = 100 N x 60 seconds/minute x 60 minutes/hour x 10 hours
4. Calculate the acceleration:
Acceleration = Total Force / Mass
5. Calculate the change in velocity:
Change in Velocity = Acceleration x Time
Note: Since the time here is given in hours, convert it to seconds.
Change in Velocity = Acceleration x (10 hours x 60 minutes/hour x 60 seconds/minute)
6. Determine the final velocity of the satellite:
Final Velocity = Initial Velocity + Change in Velocity
7. Convert the velocity from miles per hour to meters per second (SI unit):
Conversion factor: 1 mile = 1609.34 meters, 1 hour = 3600 seconds
Final Velocity (m/s) = Final Velocity (mph) x (1609.34 meters/mile) / (3600 seconds/hour)
Considering the given initial velocity of the satellite as 16,800 miles per hour, follow the steps above to find the final velocity.