A 50-kilogram vehicle From the point (3000, 4000, 0) the next destination is the

Question

A 50-kilogram vehicle

From the point (3000, 4000, 0) the next destination is the point (-2000, 16000, 0) a force of 2 N is applied in the direction of pi radians. An appropriate force is applied in the direction of pi/2 radians so that the resultant vector is in the direction of the target point. These forces are maintained until a velocity of 5 mps is achieved in the straight-line direction towards the target point.

a. How much force is needed in the direction of pi/2 radians?
b. How long will it take to reach 5 mps?
c. How much force would be required to stop the vehicle in 10 seconds?

d. How many seconds is the total trip?

Explanation / Answer

The total force must be aligned with the line joining the two points.
Obviously, the z-component should be zero.
Next, the force vector must be a multiple of the vector joining the two points.
This vector is (-5000, 12000, 0).
Hence the ratio of x-component to y-component of the force should be -5/12 .
The x_component is given as -2 N. Thus the y-component must be 24/5 N to obtain the ratio -5/12.

F = ( -2, 24/5 , 0) N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.