Final answer:
The force needed to cause impending motion of a block can be determined using Newton's second law. By considering the forces acting on the block and the acceleration, we can find the force required. In the given examples, the force needed is 65N.
Step-by-step explanation:
To determine the force needed to cause impending motion of the block, we need to consider the forces acting on the block. If the incline is frictionless, we only need to consider the gravitational force and the force applied to the block. Using Newton's second law, we can calculate the acceleration of the block. To find the force needed to cause impending motion, we can use the equation F = m * a, where F is the force, m is the mass of the block, and a is the acceleration. Substituting the given values, we can solve for F.
For example, in the first question, the force applied (F) is 65N and the mass of the block (m) is 5.00 kg. Using Newton's second law, F = m * a, we can rearrange the equation to solve for a: a = F / m. Plugging in the values, we get a = 65N / 5.00 kg = 13 m/s^2. Therefore, the correct answer is a) 65N.
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