We start by finding the angle of inclination with the sine function,
sin θ = 1 m / 4 m
θ = 14.48°
Next, we compute the work done by the movers using the following formula:
W = Fnet * d
We need to first determine Fnet. It is the weight force minus the frictional force.
Fnet = m g sinθ – μ m g cosθ
Fnet = 1,500 sin14.48 – 0.2 * 1,500 * cos14.48
Fnet = 84.526 N
The work done is therefore:
W = 84.526 N * 4 m
<span>W = 338.10 J</span>
For motion in a circle.
Centripetal acceleration is calculated as mv²/r = mω²r
where v represents linear velocity, r equals radius which is diameter/2 equating to 1/2 or 0.5m
. Here, m is the mass of the object, which is 175g or 0.175kg.
The angular speed, ω, is derived from Angle covered / time
= 2 revolutions per 1 second
= 2 * 2π radians for each second
= 4π radians per second
Thus, Centripetal Acceleration = mω²r = 0.175*(4π)² * 0.5. Utilize a calculator
≈13.817 m/s²
. The acceleration's magnitude is approximately 13.817 m/s² and it is oriented towards the center of the circular path.
The tension in the string equates to m*a
= 0.175*13.817
= 2.418 N
Answer:
The acceleration of the platform is - 1.8 m/s²
Explanation:
The net force on a body causes that body to accelerate in the direction of the resultant force applied.
Setting up the force equilibrium for the configuration:
ma = 800 - mg
100a = 800 - 100×9.8
100a = - 180
100a = - 180
a = - 1.8 m/s²
This indicates that the body is falling downward.
2*3.5 = 7m/s
You need to multiply the acceleration by the time (which must both be in seconds; if not, convert them to the same units).
