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Force and Angle

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18. the leg and cast in picture (attached) weigh 220N (w1)
Determine the weight w2 and the angle needed so that no force is exerted on the hip joint by the leg plus the cast.

41. The coefficient of static friction between a 3.00 kg crate and the 35.0 degree incline it sits on is 0.300. What minimum force (F) must be applied to the crate perpendicular to the incline to prevent the crate from sliding down the incline?

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Physics

Please provide step-by-step solutions to the following problems:

1. Two different forces, acting on the same object, are measured. One force is 2.0031 N and the other force, in the same direction, is 3.12 N. These are the only forces acting on the object. Find the total force on the object using the correct number of significant figures.

2. A car slows down with constant acceleration from a speed of 111.6 km/h to 43.20 km/h over a distance of 380.0 m. How long does it take?

3. A large ice block of mass M = 80 kg is held stationary on a frictionless ramp. The ramp is at an angle 36.87° above horizontal. If the ice block is held in place by a tangential force along the surface of the ramp (at the angle above horizontal), the magnitude of force is?

4. A large ice block of mass M = 80 kg is held stationary on a frictionless ramp. The ramp is at an angle of 36.87° above horizontal. If the ice block is held in place by a horizontal force, directed horizontally toward the center of the ice block, the magnitude of force is?

5. A large ice block of mass M = 80 kg is held stationary on a rough ramp. The ramp is at an angle of 36.87° above horizontal, and has a coefficient of kinetic friction between the block and the ramp is 0.1. If the ice block is held in place by a tangential force along the surface of the ramp (at the angle above horizontal), the magnitude of force is?

6. The displacement from the equilibrium caused by a wave on a string is given by: y(x, t) = (-0.00200 m) sin [40 m-1)x - (800 s-1)t]. What are the number of waves in 1 m?

7. What is the frequency of the above wave?

8. What is the speed of the above wave?

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