(B) (length)/(time³) Explanation: The term x = ½ at² + bt³ should meet dimensional consistency. This means that both bt³ and ½ at² must share the same units, which are length. To find the dimension of b, we rearrange the equation: [x] = [b]*[t]³ leads to length = [b]*time³, hence [b] = length/time³.
If my calculations are accurate, the angle is 67.5 degrees.
Answer:
Explanation:
Let T represent the tension in the swing.
At the peak 
where v denotes the velocity needed to maintain the circular motion.
r equals the distance from the rotation point to the center of the ball, which is L+\frac{d}{2} (with d being the ball's diameter).
The threshold velocity can be expressed as 
To determine the velocity at the bottom, we can use energy conservation principles at both the top and bottom positions.
At the top 
Energy at the bottom 
By comparing the two states using conservation of energy, we find 



Answer:
11109.825 N
Explanation:
Provided Information:
mass = m = 1510 kg
initial acceleration (a) = 0.75g (where g = 9.81 m/s²)
Using the formula F=ma
= (1510)*(0.75*9.81)
= 11109.825 N