A toy helicopter is flying in a straight line at a constant speed of 5.1 m/s. If a projectile is launched vertically with an initial speed of v0 = 25 m/s, what horizontal distance d should the helicopter be from the launch site S if the projectile is to be traveling downward when it strikes the helicopter? Assume that the projectile travels only in the vertical direction. Answer: d = m
A student sees a newspaper ad for an apartment that has 2030 square feet (ft2) of floor space. How many square meters of area are there? Number Units
A model airplane of mass 0.820 kg flies with a speed of 35.0 m/s in a horizontal circle at the end of a 62.0-m-long control wire as shown in Figure (a). The forces exerted on the airplane are shown in Figure (b): the tension in the control wire, the gravitational force, and aerodynamic lift that acts at θ = 20.0∘ inward from the vertical. Compute the tension in the wire, assuming it makes a constant angle of θ = 20.0∘ with the horizontal. N
Multiple Concept Example 9 provides background pertinent to this problem. The magnitudes of the four displacement vectors shown in the drawing are A = 16.0 m, B = 12.0 m, C = 11.0 m, and D = 24.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (counterclockwise) angle from the +x axis.