Kurdt said:
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, while choosing along-the-ramp and normal gives you only one relevant equation, which is much easier! The formula for calculating acceleration on a ramp is a = sin(θ) * g, where θ is the angle of the ramp and g is the gravitational acceleration (9.8 m/s²).
The angle of the ramp can be determined using the formula θ = tan⁻¹ (h/l), where h is the height of the ramp and l is the length of the ramp.
The weight of the 6kg box can be calculated using the formula F = m * g, where m is the mass of the box and g is the gravitational acceleration (9.8 m/s²). In this case, the weight of the box would be 6kg * 9.8 m/s² = 58.8 N.
In this problem, it is stated that the ramp is frictionless, which means there is no force acting against the motion of the box. Therefore, friction does not need to be considered in the calculation of the box's acceleration.
According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This means that the greater the mass, the lower the acceleration will be, assuming that the force is constant. In this problem, the mass of the box is 6kg, so it will have a lower acceleration compared to a lighter box with the same force acting on it.