Two horses are pulling a box in two different directions as shown in the below image. The image shows one 30.0 N force due north
and one 30.0 N force due east.
What is the magnitude of the force needed to stop the horses and bring the box into equilibrium? Describe your calculations. Where would you locate the rope to apply the force?
What is the magnitude of the force needed to stop the horses and bring the box into equilibrium? Describe your calculations. Where would you locate the rope to apply the force?
1 answer:
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Acceleration is given by:
where
v is the final velocity
u is the initial velocity
t is the time interval
Let's apply the formula to the different parts of the problem:
A)
Let's convert the quantities into SI units first:
t = 4.0 min = 240 s
So the acceleration is
B)
As before, let's convert the quantities into SI units first:
t = 94 s
So the acceleration is
C)
For this part we have to use a different formula:
where we have
v = 0 is the final velocity
u = 89.2 m/s is the initial velocity
a is the acceleration
d = 75 m is the distance covered
Solving for a, we find