What are the sum of forces on the motorcycle? Theproblem states the following:
The motorcycle is pushed up the ramp with force 3020 N
Air resists the motorcyles forward motion, therefore it pusheswith a force of 250 N down the ramp.
The only other force is that due to the motorcycles weight(a. force of gravity). Then the force diagram looks like);
F4 is force due to gravity and F2 is the component of that force parallel to the ramp.
now the sum of the forces is equal to the mass times acceleration of the motorcycle.
Then the acceleration of the motorcycle is:
The second part of the problem is also done by summing forces. The force of the block on the surface is due to the mass of the block and mass of the person standing on it. Thisforce must be exactly opposed by the surface (since the block is not moving in the vertical direction).
Then the normal force is:
Similarly, the person applies a force to the block surface (due to weight) and the block surface response with equal and opposite force:
Jones figures that the total number of thousands of miles that a used auto can be driven before it would need to be junked is an exponential random variable with parameter
Smith has a used car that he claims has been driven only 10,000 miles.
If Jones purchases the car, what is the probability that she would get at least 20,000 additional miles out of it?
Repeat under the assumption that the lifetime mileage of the car is not exponentially distributed but rather is (in thousands of miles) uniformly distributed over (0, 40).
In Figure, a stationary block explodes into two pieces and R that slide across a frictionless floor and then into regions with friction, where they stop. Piece L, with a mass of 2.6 kg, encounters a coefficient of kinetic friction
To evaluate the expression
1. Consider the quadratic function.
a.What are the x-intercepts and y-intercepts?
b.What is the equation of the axis of symmetry?
c. What are the coordinates of the vertex? yurm quadratic function,
f) For x-intercepts, put
Thus, x-intercepts are
For y intercepts put
Thus, y-intercepts is (0, -4)
b)Reusiting the function as below:
Comparising it with vertex form,
Thus, axis of symmetry is
c) Vertex coordinates: