A canoe has a velocity of 0.40 m/s southeast relative

A 0.75-kg ball is attached to a 1.0-m rope and whirled in avertical circle. The rope will break when the tension exceeds 450 N. What is the maximum speed theball can have at the bottom of the circle without breaking the rope?
A) 38 m/s
B) 16 m/s
C) 12 m/s
D) 24 m/s
E) 32 m/s

Two small charged objects repel each other with a force F whenseparated by a distance d. if the charge on each object is reducedto one-fourth of its original value and the distance between themis reduced to d/2, the force becomes:
a) ${\displaystyle \frac{F}{16}}$
b) ${\displaystyle \frac{F}{8}}$
c) ${\displaystyle \frac{F}{4}}$
d) ${\displaystyle \frac{F}{2}}$
e)F

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 ${\displaystyle \mu L=0.40}$ and slides to a stop in distance deal = 0.15 m. Piece R encounters a coefficient of kinetic friction ${\displaystyle \mu R=0.50}$ and slides to a stop in distanced R=0.30 m. What was the mass of the original block?

The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an initial speed of 4 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track at all times?

Individual A has a red die and B has a green die (both fair).If they each roll until they obtain five "doubles" (1-1,....,6-6),what is the pmf of X= the total number of times a die is rolled?What are E(X) and V(X)?

Apply Newton’s Method using the given initial guess, and explain why the method fails.
${\displaystyle y=x^3-2x-2,x_1=0}$

A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals. What dimensions should be used so that the enclosed area will be a maximum?