Answer:
Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt. This allows you to measure how fast velocity changes in meters per second squared (m/s^2).
Explanation:
<span>a) 13 seconds
b) 130 m/s
The formula for the distance an object moves while under constant acceleration is d = 1/2AT^2. So let's define d as 830 m, A as 9.8m/s^2, and solve for T
830 m = 1/2 9.8 m/s^2 T^2
830 m = 4.9 m/s^2 T^2
Divide both sides by 4.9 m/s^2
169.3878 s^2 = T^2
Take the square root of both sides
13.01491 s = T
Since we only have 2 significant figures, round the result to 13 seconds which is the answer to the first part of the question. To find out how fast the marble is moving, just multiply T and A together
13 s * 9.8 m/s^2 = 127.4 m/s
Since we only have 2 significant figures, round the result to 130 m/s.</span>
Explanation:
The magnitude of centripetal acceleration is:
a = v² / r
The velocity is:
v = d/t
v = 2 × 2π (5 m) / 60 s
v = 1.05 m/s
a = (1.05 m/s)² / (5 m)
a = 0.219 m/s²
The direction is towards the center. So at point A, the centripetal acceleration is 0.219 m/s² downward, and at point B, the centripetal acceleration is 0.219 m/s² upward.
The masses of the children may not be taken into account since these are towards the ground and directly affecting the bear. The net force is the difference of the forces since they are acting on opposite sides. The magnitude of this net force is equal to 2N and the sign is to where the greater force is from. Therefore, the force is directed towards the left.
