.50g
Extrapolate the experimental values of acceleration, vs. angle of the incline, to find the acceleration when the angle of inclination = 90 degrees. The acceleration at 90 degrees will equal 9.81 m/s/s, since this is the free-fall acceleration.
in a frictionless vacuum, 45°, otherwise (on earth), aim to have the projectile release when the arm is at about 40° from the base
An inclined plane is just what its name suggests. It is an plane that is inclined (anlged) to be steep. To make an inclined plane, draw a right angle (90 degrees) and connect the two extended lines with a diagonal line. It should look like a triangle.
Perpendicular
45 degrees to the horizontal will give the maximum flight time for a projectile. If a projectile was fired at 90 degrees to the horizontal, (straight upwards) the projectile will go straight upwards (ignoring the shape, form and aerodynamic properties of the projectile). Likewise if you were to fire a projectile at 0 degrees to the horizontal, the projectile would follow said course, IF gravity was not in effect; a projectile needs some form of vertical velocity to overcome gravity. Hence why 45 degrees will give you the longest distance and consequently flight time.
a(child acceleration)=g(gravitational acceleration)*sin25=4.144 m/s2
-- The component that's inclined 30 degrees above the horizontal is[ 20 sqrt(3) ] = about 34.641 newtons. (rounded)-- The other component is inclined 60 degrees below the horizontal,and its magnitude is 20 newtons.
A trajectory is the angle made with the horizontal when a projectile is fired. Suppose the projectile is a cannon ball. Assuming air is frictionless, that cannon ball will travel the greatest distance if the trajectory is 45 degrees from horizontal.
The acceleration of the boy can be found using the equation a = g * sin(θ), where g is the acceleration due to gravity (approximately 9.81 m/s^2) and θ is the angle of the slope (20 degrees). Therefore, the acceleration of the boy would be a = 9.81 m/s^2 * sin(20 degrees) ≈ 3.36 m/s^2.
A graph which consists of short straight lines which keep changing direction. Example : a graph line which is inclined at say, 30 degrees to a horizontal, then changes direction instantly to a line which is say, inclined at 60 degrees to the horizontal , etc. If the shape of a graph is not a series of straight lines joined to each other, then it is not a step graph.
Using the equation of motion for an object sliding down a frictionless incline, we have d = (1/2)at^2, where d is the distance traveled, a is the acceleration, and t is the time. Solving for acceleration a gives a = (2d) / t^2. Substituting the given values, a = (2*19.4) / 3^2 = 12.89 m/s^2. Since a = gsinθ, where g is the acceleration due to gravity (9.81 m/s^2) and θ is the angle of inclination, we can solve for θ: 12.89 = 9.81sinθ. Therefore, θ = sin^(-1)(12.89 / 9.81) ≈ 53.82 degrees.
the force acting down the slope = sin 30 * 25 (kg) = 0.5 * 25 = 12.5 kg = (12.5 * 9.806 ) 122.575 newtons = resultant force of (122.575-120 ) 2.575 newtons downhill giving downhill acceleration of (using f=ma) 0.103 (m/s)/s
The horizontal force can be calculated using the formula Fhorizontal = Fcos(θ), where F is the given force (20N) and θ is the angle of inclination (30 degrees). Plugging in the values, we get Fhorizontal = 20N x cos(30) ≈ 17.3N.
The initial magnitude of the velocity is sqrt(5) times the horizontal component. This results in a velocity vector that is inclined at an angle of arctan(2) ≈ 63.43 degrees with respect to the horizontal.
12 x sin 60 = 11.08 pounds
23.5 degrees.
The magnitude of force f can be calculated using the equation f = mgsin(theta), where m is the mass of the object, g is the acceleration due to gravity, and theta is the angle of the incline. Given the angle of 30 degrees, the force can be calculated by plugging in the values of mass and acceleration due to gravity.