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An object is moving with constant non-zero velocity. Which of the following statements about it must be true?
(A) A constant force is being applied to it in the direction of motion.
(B) A constant force is being applied to it in the direction opposite of motion.
(C) A constant force is being applied to it perpendicular to the direction of motion.
(D) The net force on the object is zero.
(E) Its acceleration is in the same direction as its velocity.

Respuesta :

Answer:

The net force on the object is zero.

Explanation:

An object is moving with constant non-zero velocity. If velocity is constant, it means that the change in velocity is equal to 0. As a result, acceleration of the object is equal to 0. Net force is the product of mass and acceleration. Hence, the correct option is (d) "The net force on the object is zero".

For a constant non-zero velocity the net force on the object is zero.

Velocity is defined as the change in displacement per change in time of motion.

[tex]v = \frac{\Delta x}{\Delta t}= \frac{x_2 - x_1}{t_2 - t_1}[/tex]

where;

Δx is the change in displacement

Δt is the change in time motion

When the change in the displacement is same for equal time interval, the resulting velocity will be constant but non-zero in magnitude.

Also, when the net force acting on an object is zero, the object will move with a constant velocity.

[tex]\Sigma F_x = 0[/tex]

Thus, for a constant non-zero velocity the net force on the object is zero.

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