Equations with Newton's Second Law of Motion

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SUMMARY

This discussion focuses on solving problems related to Newton's Second Law of Motion, specifically calculating net force and acceleration using given parameters. The first problem involves a 58-gram ball accelerating to 45 m/s over a distance of 44 cm, requiring the calculation of average net force. The subsequent problems involve determining acceleration and direction based on vector forces acting on various masses, including a 4.0 kg object and a 5.00 kg block with specified force magnitudes and angles. Key concepts include understanding acceleration, net force, and vector resolution.

PREREQUISITES
  • Newton's Second Law of Motion
  • Basic principles of vector addition and resolution
  • Understanding of mass and force units (kg, N)
  • Knowledge of kinematic equations for acceleration
NEXT STEPS
  • Study the derivation and application of Newton's Second Law (F=ma)
  • Learn vector resolution techniques for force analysis
  • Explore kinematic equations for calculating acceleration
  • Practice solving problems involving forces at angles
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for problem-solving strategies related to Newton's laws and force analysis.

duxlax93
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Hi, I really need some help on these homework problems. Sorry I couldn't paste the pictures in but please help me!

1) When a 58 gram ball is served, it accelerates from rest to a speed of 45 m/s. The impact with the racket gives the ball a constant acceleration over a distance of 44 cm. What is the magnitude of the average net force acting on the ball?

2) Only two forces act on an object (mass=4.0 kg). Find the magnitude and the direction (relative to the x-axis) of the acceleration of the object. The picture depicts a box with a central angle, the "y-axis" vector is 60.0 N and the "x-axis" vector is 40.0 N.

3) Two forces, F1 and F2, act on the 5.00 kg block. The magnitude of the forces are F1=45.0 N and F2=25.0 N. What is the horizontal acceleration (magnitude and direction) of the block. The picture depicts a box and on the upper left hand corner F1 vector is coming down, creating a 65° angle. F2 vector is going into the middle of the right side.


4) Only two forces act on an object (mass=3.00 kg). Find the magnitude and direction (relative to the x-axis) of the acceleration of the object. The picture depicts a box with 45° angle placed in the middle. The x vector is 40. 0 N and the y vector is 60.0 N.
 
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Where did you start with these? You can't help if we don't know where you are getting stuck.
 
In #1 I do not understand how to find the acceleration so that I can find the net force. In questions 2-4 I do jot understand what to dk with the vectors
 
Lets go 1 at a time.

In number 1, what givens do you have?
 
The ball is 58 g it accelerates to 45 m/s2 and it accelerates continuously over 44m
 
44 cm
 

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