Based on the relative velocity of the man with respect to the boat and the dock:
- Distance covered in 4.0 seconds relative to the boat = 8 m
- Distance covered in 4.0 seconds relative to the dock = 56 m
<h3>What is relative velocity?</h3>
Relative velocity is the velocity of a body relative to another body which serves as a reference point.
Relative velocity is a vector.
Considering the velocity of the man and the boat:
The relative velocity of the man with respect to the boat = 2.0 m/s
Distance covered in 4.0 seconds relative to the boat = 2.0 m/s * 4.0 s
Distance moved = 8 m
Relative velocity of the man with respect to the dock = 12 + 2 = 14 m/s
Distance covered in 4.0 seconds relative to the dock = 14.0 m/s * 4.0 s
Distance moved = 56 m
In conclusion, the relative velocity is velocity with respect to a reference point.
Learn more about relative velocity at: brainly.com/question/24337516
#SPJ1
Hi there!
We can use the following equation for a point charge in a magnetic field:
= Force due to magnetic field (7.6 × 10⁻¹³N)
= Charge of particle (1.6 × 10⁻¹⁹ C)
= velocity of particle (6.6 × 10⁶ m/s)
= Magnetic field strength (1.8 T)
Or, without the cross product:
θ = angle between particle's velocity and field
We can rearrange to solve for theta:
Solve for theta:
Answer:
when work is done by an applied force, the objects energy will change. in this interactive, does the work cause a kinetic energy change or a potential energy change?
The work done cause the potential energy to change because the body was initially at rest before work done, it was after a force is applied that there is energy changes from potential to kinetic energy
Explanation:
A microwaveable cup-of-soup package needs to be constructed in the shape of a cylinder to hold 600 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.05 cents per square centimeter. Find the dimensions for the package that will minimize production costs.
h: height of the cylinder, r: radius of the cylinder
The volume of a cylinder: V=πr2h
Area of the sides: A=2πrh
Area of the top/bottom: A=πr2
The cost of packaging, C=2πrh*0.02+ πr^2*0.02+ πr^2*0.05 subject to the constraint πr^2h=600
C=πr(0.04h+.07r) and the constraint implies h=600/ πr^2
So C=πr(24/πr^2+.07r)=24/r+.07πr^2
C'=-24/r^2+0.14πr=0
r^3=24/0.14π r=3.79 cm
h=600/πr^2=13.3 cm
C=π*3.79*(0.04*13.3+.07*3.79)=9.48cents
C''=0.14π+48/r^3>0 for all r>=0 so our solution is indeed a minimum.
Learn more about radius at
brainly.com/question/24375372
#SPJ4
