<span>The water and chlorine mix completely and do not separate or form layers, thus they form a homogenous mixture.</span>
Answer:
a) Acceleration while the toboggan is going uphill = 8.85 m/s²
b) Acceleration of the toboggan is going downhill = 4.76 m/s²
Explanation:
Resolving the normal reaction into vertical and horizontal component
Nₓ = mg sin θ
Nᵧ = mg cos θ
The frictional force on the toboggan = Fr = μmg cos θ (note that μ = μ(k) = the coefficient of kinetic friction)
Doing a Force balance on the x component taken in the axis parallel to the inclined plane.
The net force that has to accelerate the toboggan has to match the frictional force acting downwards of the plane (In the opposite direction to motion) and x-component of the Normal reaction
ma = Nₓ + Fr
ma = (mg sin θ) + (μmg cos θ)
a = g[(sin 44°) + (0.29 cos 44°)
a = 9.8(0.6947 + 0.2086) = 8.85 m/s²
b) While coming downhill,
The frictional force is acting uphill now (In the direction opposite to motion),
The force balance is
ma = (mg sin θ) - (μmg cos θ)
a = g[(sin 44°) - (0.29 cos 44°)]
a = 9.8(0.6947 - 0.2086)
a = 4.76 m/s²
D.
50 mph - 30 mph= 20 mph net velocity
change.
20mph/3600 seconds/hour= .00555 MPS
.0055 miles per second
40 seconds to complete the change
.0055/40= .000138
Answer:
a. 0.21 rad/s2
b. 2.205 N
Explanation:
We convert from rpm to rad/s knowing that each revolution has 2π radians and each minute is 60 seconds
200 rpm = 200 * 2π / 60 = 21 rad/s
180 rpm = 180 * 2π / 60 = 18.85 rad/s
r = d/2 = 30cm / 2 = 15 cm = 0.15 m
a)So if the angular speed decreases steadily (at a constant rate) from 21 rad/s to 18.85 rad/s within 10s then the angular acceleration is
b) Assume the grind stone is a solid disk, its moment of inertia is
Where m = 28 kg is the disk mass and R = 0.15 m is the radius of the disk.
So the friction torque is
The friction force is
Since the friction coefficient is 0.2, we can calculate the normal force that is used to press the knife against the stone
The fastest in speed of sound is steel. The slowest in speed of sound is oxygen. Hope this helped! I don't really know how to answer this but by looking at the table it looks like this can be one of the conclusions.
