5. Consider g on a bearing of 110° with g = 11 and h on a bearing of 245° with h= 20. If i = g+h then determine j if j =g+i.

8 Please with provided formula easy way to explain please

03/279 A solid ball of radius 6.0 cm is initially smoothly at 10 m/s along a horizontal floor. It then rolls smoothly up ramp until it momentarily stops. What maximum height above the floor does it reach?

A solid uniform 45-kg ball of diameter 32.0 cm is supported against a vertical, frictionless wall with a string of length 30.0 cm as shown below. Find the tension in the string.

The system is released from rest with the spring initially stretched 2.8 in. Calculate the velocity v of the cylinder after it has dropped 1.5 in. The spring has a stiffness of 4.1 lb/in. Neglect the mass of the small pulley. k = 4.1 lb/in 80 lb

An object on the Earth has a center of gravity that is 6.0 cm above its base. If the same object was taken to the Moon, where the acceleration due to gravity is 1/6th the value on Earth, how far above the base (cm) would the center of gravity be? O 6.0 O 15 O 3.0 O 2.4 O 36 O 8.4 O 3.6 O 1.0

7. Find the tangential and normal components of acceleration for r(t) = (8 cos t ,8 sin t, 8t)

The 10-kg uniform horizontal rod is seen from the side. What is the gravitational torque about the point shown? Use g = 10 m/s2.       -50 N·m     -75 N·m     25 N·m     -100 N·m     -25 N·m     0     50 N·m     100 N·m     75 N·m

A speedboat with a mass of 545 kg545 kg (including the driver) is tethered to a fixed buoy by a strong 32.7 m32.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 13700 N,13700 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m)×?2,(450 kg/m)×v2, where ?v denotes the boat's speed. Ignore any drag force on the cable.

2. Let F = 4 i -6 j + 2 k and Let r = 3 i -3 j - 5 k. Find the torque in both Cartesian and polar coordinates. (Find Torque by cross product, find the magnitude of the torque, find the SOLID angle theta and phi since the vector will be in 3 dimensions.) ____________________________________________________________________________________________________________________________________________________________________________    If you could clearly circle the answer I need, that would be great!  Thanks!