Answer:
a. The minimum value for h is 2R.
b. The maximum compression of the spring is
.
Explanation:
a. If the marble is initially at rest, then its total mechanical energy is equal to its potential energy at that point, mgh. The rail forms a hoop of radius R. In order for the marble to hit the spring, it must reach the top of the hoop, otherwise it falls down.
The height of top of the hoop is 2R. So, in order for the marble to reach the top of the hoop, the height h must be greater than or equal to height of the hoop, 2R.

In this case, the minimum value for h is 2R.
b. Since the system is frictionless, the compression of the spring depends on the initial potential energy.

Answer:
230.26 N
Explanation:
Since the speed is constant, acceleration is zero hence the net force will be given by the product of mass, coefficient of friction and acceleration due to gravity
F=0.72*32.6*9.81=230.26 N
we know that
Power efficiency is defined as the ratio of the output power divided by the input power:
so

in this problem

Substitute in the formula above

%
therefore
the answer is
the efficient is
%
The Answer would be (A) an appeal of association
Answer:
Mechanical advantage of pulleys = 3.47 (Approx)
Explanation:
Given:
Manual force = 1,549 N
Pulleys force = 446 N
Find:
Mechanical advantage of pulleys
Computation:
Mechanical advantage of pulleys = Manual force / Pulleys force
Mechanical advantage of pulleys = 1,549 / 446
Mechanical advantage of pulleys = 3.4730
Mechanical advantage of pulleys = 3.47 (Approx)