Math Problem Statement
We are having a physics test on forces and Universal Gravitation and the questions give is 2150 kg, 15.3m/s after 21 seconds , speed 9.17 m/s what is the average net force acting?
Solution
To determine the average net force acting on the object, we can use Newton's second law of motion, which is:
where:
- is the average net force,
- is the change in momentum,
- is the time interval.
Momentum is calculated as:
where is the mass and is the velocity.
Step 1: Calculate the initial and final momentum.
Given:
- Mass ,
- Initial velocity ,
- Final velocity .
The change in momentum is:
Step 2: Calculate the average net force.
We are also given that the time interval .
Now, let's compute the average net force using the formula:
Let me calculate this for you.
Given data mass = 2150 # kg v_0 = 9.17 # m/s (initial velocity) v_f = 15.3 # m/s (final velocity) delta_t = 21 # seconds
Calculate change in momentum
delta_p = mass * (v_f - v_0)
Calculate average net force
F_avg = delta_p / delta_t F_avgThe average net force acting on the object is approximately (Newtons).
Would you like further details on this calculation or have any questions?
Here are some related questions you could explore:
- How would the result change if the mass of the object was different?
- What is the relationship between velocity and force in the context of Newton's second law?
- How would you calculate the gravitational force between two objects using Universal Gravitation?
- What is the significance of the time interval in calculating average net force?
- How does the direction of the force affect the motion of the object?
Tip: When calculating net force from momentum, make sure to track the direction of velocity, as the force's direction depends on whether the velocity is increasing or decreasing.
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Math Problem Analysis
Mathematical Concepts
Newton's Second Law of Motion
Momentum
Force Calculation
Formulas
F_avg = Δp / Δt
p = mv
Theorems
Newton's Second Law
Conservation of Momentum
Suitable Grade Level
Grades 9-12
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