The force of friction is 78.4 N
What is force of friction?
Frictional force is the force created when two surfaces come into contact and slide against each other. it is given by the equation:
μ * 
where,
= force of friction
μ = coefficient of friction
= normal force
Given,
μ 
We know,


Subsituing the values in equation:
μ * 

The force of friction is 78.4 N.
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1. 12.75 J
Assuming that the force applied is parallel to the ramp, so it is parallel to the displacement of the cart, the work done by the force is

where
F = 15 N is the magnitude of the force
d = 85 cm = 0.85 m is the displacement of the cart
Substituting in the formula, we get

2. 10.6 N
In this part, the cart reaches the same vertical height as in part A. This means that the same work has been done (because the work done is equal to the gain in gravitational potential energy of the object: but if the vertical height reached is the same, then the gain in gravitational potential energy is the same, so the work done must be the same).
Therefore, the work done is

However, in this case the displacement is
d = 120 cm = 1.20 m
Therefore, the magnitude of the force in this case is

The type of graph that would most appropriately display Sarah's data is a line graph.
<h3>What is a line graph?</h3>
A line graph, sometimes referred to as a line plot or a line chart, is a graph in which individual data points are connected by lines. A line graph shows numerical values over a predetermined period of time.
Line graphs are frequently used in finance to show the historical price movement of an asset or instrument. To monitor changes over both short and long time periods, line graphs are utilized. Line graphs can be used to compare changes for multiple groups over the same time period.
In this case, it should be noted that Sarah wants to compare the speed and the height. Therefore, the line graph and s appropriate.
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1 - Radius of the path is increased
The formula for centripetal force is Fc=mv^2/r, therefore if r increases, a the divisor is larger and hence the centripetal force will be smaller.