A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53

Problem 4: The center of a moon of mass m= 2 x 1023 kg is a distance D = 28 × 10° km from the center of a planet of mass M = 19.9 × 1023 kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero.

The acceleration due to gravity, g, is constant at sea level on the Earth's surface. However, the acceleration decreases as an object moves away from the Earth's surface due to the increase in distance from the center of the Earth. Derive an expression for the acceleration due to gravity at a distance h above the surface of the Earth, gh. Express the equation in terms of the radius R of the Earth, 8, and h. (1+ )² h\-2 8h = Suppose a 91.75 kg hiker has ascended to a height of 1.880 x 10³ m above sea level in the process of climbing Mt. Washington. By what percent has the hiker's weight changed from its value at sea level as a result of climbing to this elevation? Use g 9.807 m/s? and R : 6.371 × 106 m. Pay careful attention to significant figure rules, and enter your answer as a positive value.

The height at which the acceleration due to gravity becomes (g/9) (where g=acceleration due to gravity on the surface of the earth) in terms of the radius of the earth (R) is-

Can you approximate the height of one of the buildings on your campus, or in your neighborhood? Let us make an approximation based upon the height of a person. In this example, we will calculate the height of a 39-story building.

can you help me to solve this problem? and kindly put the answer as whole numbers or decimals and not in significant figures? Thanks!

Hold a pencil in front of your eye at a position where its blunt end just blocks out the Moon (Fig. 1–19). Make appropriate measurements to estimate the diameter of the Moon, given that the Earth-Moon distance is 3.8 × 10° km. FIGURE 1-19 Problem 48. How big is the Moon?

can you help me to solve this? and kindly put the answers as whole number or decimals and not the significant figures? Thank you!

In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably more comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical intuition. More precisely, show that (a) 1.0 m/s = 3.6 km/h and (b) 1.0 m/s = 2.2 mi/h.