Prior to space flights carrying astronauts, rocket sleds were used to test aircraft, missile equipment, and physiological

Question:

Prior to space flights carrying astronauts, rocket sleds were used to test aircraft, missile equipment, and physiological effects on human subjects at high speeds. They consisted of a platform that was mounted on one or two rails and propelled by several rockets. Calculate the magnitude of force exerted by each rocket, called its thrust T, for the four-rocket propulsion system shown in Figure 4.8. The sled's initial acceleration is 49 m/s2, the mass of the system is 2100 kg, and the force of friction opposing the motion is known to be 650 N.

1444 Free-body diagram N W a T T N W T T

Strategy
Although there are forces acting vertically and horizontally, we assume the vertical forces cancel since there is no vertical acceleration. This leaves us with only horizontal forces and a simpler one-dimensional problem. Directions are indicated with plus or minus signs, with right taken as the positive direction. See the free-body diagram in the figure.

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