The acceleration of a marble in a certain fluid is proportional to the speed of the marble squared and is given in SI units) by a=-3.00 v^2 for v greater than 0. If the marble enters this fluid with a speed of 1.20 m/s, how long will it take before the marble's speed is reduced to half of its initial value?
Solution Preview
Another way of writing a is dv/dt. So we have the equation:
dv/dt = -3*v^2
Divide both sides by v^2 and multiply ...
Solution Summary
The solution is given in an equation with short descriptions explaining how to do it.
A boy kicks a ball horizontally near the edge of a boardwalk, with an initial
speed of 9.0 m/s. A blowing wind gives the ball a constant horizontal
acceleration of 12 m/s^2.
The ball falls into the water directly under the boy.
Ignore the effect of air resistance on the vertical motion of the ball.
a. Determine the height
A lunar landing craft needs to hover just above the surface of the moon, which has a gravitational acceleration of (1/6) g. The exhaust velocity is 2000m/s but fuel amounting to only 20% of the total mass can be used.
How long can the landing craft hover?
The FlyRight Aircraft Maintenance (FRAM) division of the FlyRight Company (FRC) performs all maintenance for FRC's aircraft. Produce a data model segment that reflects the following business rules:
All mechanics are FRC employees. Not all employees are mechanics. Some mechanics are specialized in engine (EN) maintenance. Some
Please help with the following problems.
1. A car starts from rest and reaches a speed of 31m/s in 2 seconds. Calculate its acceleration, if this value stays the same then what it the speed 7 seconds later?
2. A ball is thrown off a very tall building with a velocity of 16 m/s. What is the speed of the ball after 1.1 seco
A 4.0 kg toboggan rests on a frictionless icy surface, and a 2.0 kg block rests
on top of the toboggan. The coefficient of static friction µs between the block
and the surface of the toboggan is 0.58, whereas the kinetic friction
16.T op
coefficient is 0.48. The block is pulled by a horizontal force of 30 N as shown.
a. Ca
A certain service station uses a team of 3 mechanics in one repair station to work on each car that needs repair. This team can repair cars at a rate of 9 per day. Cars arrive for repairs at the station at the rate of 4.5 per day. The service station owner has decided that this team is not very efficient in terms of labor usag
