Answer:
8.6 N
Step-by-step explanation:
Let T be the unknown force
Let θ be the slope of the inclined plane to horizontal
Let φ be the angle of the force to the plane
Let μ be the coefficient of static friction
Let m be the mass
Let N be the Normal force of plane on mass
Let Ff be the friction force which will have a maximum at μN
Let g be gravity
Forces acting <u>parallel to the plane</u>. Upslope is positive
For minimum force T, friction will be max and acting upslope.
F = ma
Tcosφ - mgsinθ + Ff = m(0)
Tcosφ - mgsinθ + μN = 0
Tcosφ - mgsinθ + μ(mgcosθ - Tsin(θ + φ)) = 0
T(cosφ - μsin(θ + φ)) + μmgcosθ - mgsinθ = 0
T = mg(sinθ - μcosθ) / (cosφ - μsin(θ + φ))
T = 2(9.8)(sin30 - 0.25cos30) / (cos30 - 0.25sin(30 + 30))
T = 8.5547537...
Answer:
Step-by-step explanation:
To find speed of ball we will use formula.
To find distance traveled by ball we will add length of ramp and distance from the end of ramp to the wall.
Now we will substitute our values in speed formula to find our answer.
Therefore, speed of ball will be 8 meters per second.
Answer: 36
Step-by-step explanation:
6/2= 3 & 3x2=6 & 27/9=3 & 3x9=27 so you would multiply 3x12=36 so you would just multiply. and I'm a 6th grader.
Answer:
9 ft
Step-by-step explanation:
<h3>a²+b²=c²</h3><h3>a²+12²=15²</h3><h3>a²+144=225</h3><h3>225-144=81</h3><h3>√81=9</h3>
F(x)<span>= -10
</span>f(5)=-10
f=-10 divided by 5
f=-2