This is a tough question. There's so much information given that it's difficult to dig past the useless stuff and find our way to the info we actually need. Turns out we don't need the mass of the block or the angle of the incline. We can do just fine with the acceleration and distance. Average velocity = 1/2 (Vinitial + Vfinal) = 1/2 Vfinal Distance = (average velocity) times (time) time = Distance / (average velocity) = 2 x distance / Vfinal = 4 / Vfinal Distance = 1/2 a t2 = 1/2 (0.5) (4/Vfinal)2 2 = 1/4 x 16 x (1/V2final) ===> 2 V2final = 4 ===> V2final = 2 Vfinal = sqrt(2) meters/sec
The acceleration due to gravity remains constant, regardless of incline. The fact that it is on an incline does not change the fact that it will remain constant, it will only change the component of that acceleration being applied to the ball.
changing the slope of the inclined plane changes the values for velocity because of the unbalanced external force exerted on the object increases the velocity.
changing the slope of the inclined plane changes the values for velocity because of the unbalanced external force exerted on the object increases the velocity.
Yes. The acceleration is directly proportional to the objects mass.For objects with constant mass however, the acceleration will remain constant.
Incline is both a verb and a noun. It is not an adjective. As a verb: to incline or to be inclined. To have the inclination to do something. As a noun: an incline or an inclined plane.
(ignoring friction)yes, it does, the rate of acceleration is tied to the incline angle, so assuming the incline angle remains the same, lengthening the incline will result in a higher terminal velocity. v^2 = (u^2) + (2*a*s)if a mass falls the same vertical distance from rest, regardless of incline angle, its terminal velocity will be the same, converting potential energy (m*g*h), into kinetic energy (0.5m*v^2)
Your mass times the acceleration due to gravity times the sine of the angle of the incline
Ideal Mechanical Advantage for an Inclined Plane is equal to the length of the incline divided by the height of the incline.
No. On a horizontal surface the normal force is equal to weight. If you are moving at constant velocity you only overcome frictional force, which is not equal to weight. This is easier to see on an incline. At some point an object will slide at constant velocity down the incline. This is related to trig functions of the angle of incline multiplied by the weight which is always less than the weight.
Newtons second law of motion, describes the relationship between force, mass and acceleration: f = m * a , ( a = f / m ), ( m = f / a ) > Inclined plane: The force (kgf) down the incline on a body on an inclined plane is = mass (kg) * (sin (incline angle)) So if you change the mass, the force down the incline changes in proportion, the acceleration will remain the same, regardless of changes in mass.
MA of inclined plane:Distance moved parallel to slope / vertical distance moved:Reciprocal of sin of incline angle (from horizontal):1 / ( sin ( incline angle ) )
If you incline it, yes.