Question

1. The block shown in (Figure 1) has mass m = 7.0 kg and lies on a fixed smooth frictionless plane tilted at an angle θ = 24.5 ∘ to the horizontal.

a. Determine the acceleration of the block as it slides down the plane.

Express your answer to three significant figures and include the appropriate units.

b. If the block starts from rest 19.0 m up the plane from its base, what will be the block's speed when it reaches the bottom of the incline?

Express your answer to three significant figures and include the appropriate units.  

2. Arlene is to walk across a "high wire" strung horizontally between two buildings 12.0 m apart. The sag in the rope when she is at the midpoint is 10.0 ∘, as shown in the figure(Figure 1).

If her mass is 49.0 kg , what is the tension in the rope at this point?

3. Police investigators, examining the scene of an accident involving two cars, measure 75-m-long skid marks of one of the cars, which nearly came to a stop before colliding. The coefficient of kinetic friction between rubber and the pavement is about 0.90. Estimate the initial speed of that car assuming a level road.

Express your answer to two significant figures and include the appropriate units.

Answer 1

Hope this helps...