# Forces and frequency from different angles

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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Waves, Heat and Light 300 level in Undergraduate

2. Walking the dog - On your way to class you might have noticed that everyone was walking at more or less the same speed. In this question we will explore the reason for that.

a) First, consider the leg as a physical pendulum, write down an expression for the natural angular frequency of oscillation of a simplified model for the leg pivoted about the hip joint. Express the frequency in terms of g and the dimensions L and d shown below.

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