Answer :
Final Answer:
The given statement "A box with mass m = 76 , kg is being pulled by a constant force F = 175 , N at an angle of theta = 34 degrees. The initial speed of the box is zero" is false.Thus the correct option is b.
Explanation:
In this scenario, the box is being pulled by a constant force at an angle. Since the force is not acting parallel to the direction of motion, it can be resolved into two components: one along the direction of motion and the other perpendicular to it. The force parallel to the motion causes acceleration, while the perpendicular force does not contribute to the motion in that direction.
Since the initial speed of the box is zero, there is no initial acceleration along the direction of motion. Hence, the box does not start moving immediately; instead, it experiences an initial period of acceleration. Therefore, the statement is false.
To explain further, we can calculate the acceleration along the direction of motion using Newton's second law, F = m * a. Here, F is the component of the force parallel to the motion, m is the mass of the box, and a is the acceleration. Plugging in the given values, we find the acceleration. This acceleration would cause the box to start moving after some time, not immediately. This delay in motion contradicts the statement provided.Thus the correct option is b.