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Chapter 3: Q 3-11 P (page 123)
Masses M and m attract each other with a gravitational force of magnitude F. Mass m is replaced with a mass 3 cm, and it is moved four times farther away. Now, what is the magnitude of the force?
The magnititude of the force is.
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At t = 532.0s after midnight, a spacecraft of mass 1400 kg is located at position (3x105, 7x105,-4x105 ) m, and at that time an asteroid whose mass is 7 x 10 15 kg is located at position (9 x 10 ^ 5, - 3 x 10 ^ 5, - 12 x 10 ^ 5) m. There are no other objects nearby. (a) Calculate the (vector) force acting on the spacecraft. (b) At t=532.0: the spacecraft's momentum was
and at the later time t = 538.0s its momentum was
.Calculate the (vector) change of momentum
A roughly spherical asteroid has a mass ofand a radius of 270 km. (a) What is the value of the constant g at a location on the surface of the asteroid? (b) What would be the magnitude of the gravitational force exerted by the asteroid on a 70 kg astronaut standing on the asteroid鈥檚 surface? (c) How does this compare to the gravitational force on the same astronaut when standing on the surface of the Earth?
Figure 3.60 shows two positively charged objects (with the same charge) and one negatively charged object. What is the direction of the net electric force on the negatively charged object? If the net force is zero, state this explicitly.
A steel ball of mass m falls from a height h onto a scale calibrated in newtons. The ball rebounds repeatedly to nearly the same height h. The scale is sluggish in its response to the intermittent hits and displays an average force F avg , such that , Z where is the brief impulse that the ball imparts to the scale on every hit, and T is the time between hits.
Question: Calculate this average force in terms of m, h and physical constants. Compare your result with the scale reading if the ball merely rests on the scale. Explain your analysis carefully (but briefly).
The mass of Mars is and its radius is . What is the value of constant g on Mars?
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