Solving for Block's Acc, Kinetic Friction, and Speed

In summary, a 3.00 kg block starting from rest at the top of a 30-degree incline slides 2.00 m down in 1.50s. Using Newton's second law and kinematic equations, we can find the acceleration of the block, which is needed to solve for the coefficient of kinetic friction between the block and the incline. The frictional force acting on the block can be found by using the formula (mg sin#)-(u mg cos#)=ma, where m is the mass, g is the acceleration due to gravity, # is the angle, and u is the coefficient of friction. The speed of the block after sliding 2.00 m can be calculated using the formula u+
  • #1
Frosty_TAW
12
0
a 3.00 kg block starts from rest @ the top of a 30-degree and slides 2.00 m down in 1.50s. Find (a) the acceleration of the block (b) the coefficient of kinetic friction between it and the incline, (c) the frictional force acting on the block, and (d) the speed of the block after it has slid 2.00 m
please help! :confused: :confused:
 
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  • #2
from what limited knowledge i have of this... all you would do is solev the for a using Newtons second law and then plug that into a kinematic eqtn (x = at^2/2) to find t and and then use Newtons second law again in another direction to solve for friction (mu)...

please tell me if you want a more quantitative result as i only listed th idea behind it...
 
  • #3
what was that formula again i just need a better theory behind itm that was a little fast
 
  • #4
for (a) use s=ut+0.5a(t2) where u=0 and s=2.0m and t=time to find a=acceleration


for (b) use
(mg sin#)-(u mg cos#)=ma

m=mass
a=acceleration from (a)
#=angle
g=9.8
u=coefficent


for (c) answer = u mg cos# :biggrin:

for (d) answer= u+at
u=0
a=accerletion
t=time


TADA!
OK!...now how abt a pay back @ pizza hut :devil:
 
  • #5
thanks a million man, that really helps me out
 

FAQ: Solving for Block's Acc, Kinetic Friction, and Speed

What is the formula for solving for a block's acceleration?

The formula for solving for a block's acceleration is: acceleration = net force / mass. This means that the acceleration of a block is directly proportional to the net force acting on it, and inversely proportional to its mass.

How do I calculate the kinetic friction of a block?

To calculate the kinetic friction of a block, you need to use the formula: friction = coefficient of kinetic friction * normal force. The coefficient of kinetic friction is a constant value that depends on the two surfaces in contact, and the normal force is the force perpendicular to the surface on which the block is moving.

Can I use the same formula to solve for acceleration in different directions?

Yes, the formula for acceleration is the same for all directions. However, if the net force is not acting in the same direction as the motion of the block, you will need to use vector components to find the net force in the direction of motion.

How does the mass of the block affect its acceleration?

The mass of the block has an inverse relationship with its acceleration. This means that as the mass increases, the acceleration decreases, and vice versa. This is because a larger mass requires a larger force to accelerate at the same rate as a smaller mass.

Is there a way to calculate the final speed of a block after it has been accelerated?

Yes, you can use the formula: final speed = initial speed + acceleration * time. This formula assumes that the block starts at rest and is accelerating at a constant rate. If the block is already moving with an initial speed, you will need to use a more complex formula that takes into account its initial velocity and the change in acceleration over time.

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