Are These Force-Related Statements True or False?

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The discussion evaluates the truth of various force-related statements based on Newton's laws. It clarifies that two objects with the same acceleration do not necessarily experience equal forces due to mass differences. A net force acting on an object will indeed change its velocity, whether in speed or direction. During collisions, both the car and truck exert equal forces on each other, aligning with Newton's third law. Overall, the conversation emphasizes the importance of understanding net forces and their effects on motion.
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The following statements are true/false... I'll give my answer and explanation. Please point out where I'm wrong.

If two objects have the same acceleration, they are under the influence of equal forces.
false
a change in mass can effect the force.

If a net force acts on an object, the object's speed will change.
True
A net force causes a change in velocity


During the collision of a car with a large truck, the car exerts a lesser force on the truck than the truck exerts on the car.
false
Newton's third law states each reaction has an equal and opposite reaction


If an object's speed does not change, no net force is acting on the object.
True
A net force is need to change velocity


During the collision of a car with a large truck, the truck exerts an equal size force on the car as the car exerts on the truck.
True
Again, Newton's third law
 
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ttk3 said:
If two objects have the same acceleration, they are under the influence of equal forces.
false
a change in mass can effect the force.
Good.

If a net force acts on an object, the object's speed will change.
True
A net force causes a change in velocity
Careful: Velocity can change in either magnitude (speed) or direction. Consider circular motion.


During the collision of a car with a large truck, the car exerts a lesser force on the truck than the truck exerts on the car.
false
Newton's third law states each reaction has an equal and opposite reaction
Good.


If an object's speed does not change, no net force is acting on the object.
True
A net force is need to change velocity
Careful: see above.


During the collision of a car with a large truck, the truck exerts an equal size force on the car as the car exerts on the truck.
True
Again, Newton's third law
Good.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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