chapter 1 physics

A right triangle has a hypotenuse of length 2.50m, and one of its angles is 38.0. What are the lengths of the following sides? (a) The side opposite the 38.0 angle (b) The side adjacent to the 38.0 angle

(a) 1.539 m (b) 1.970 m

For the triangle shown in the figure below what are each of the following? (Let y=20.0m and r=25.0m. Assume the triangle is a right triangle.) (a) The length of the unknown side (x) (b) The tangent of the 0 (c) the sin of 0/

(a) 15m (b) 1.33 (c) 0.6

A person measures the heights of a building by walking out a distance of 46.0 m from it's base and shining a flash beam toward the top. When the beam is elevated at an angle of 39.0 with respect to the horizontal, the beam just strikes the top of the building. (a) If the flashlight is held at a height of 2.00 m, find the height of the building (b) Calculate the length of the light beam

(a) 39.3m (b) 59.2m

(a) The Cartesian coordinates of a point in the xy-plane are (x,y)=(-3.50 m, -2.50m), Find the polar coordinates of this point (b) Convert (r,0)=(5.00m, 37) to rectangular coordinates

(a) 4.30m, 216 (b) 3.99, 3.01

The radius of a circle is measured to be (10.4+-0.2)m. Calculate each of the following and give the uncertainty in each value. (a) The circumference of the circle (b) The area of the circle

(a) 66.3 +- 1.3 (b) 340 +- 13

The diameter of a sphere is measured to be 6.28 in. (a) Find the radius of the sphere in centimeters. (b) Find the surface area of the sphere in square centimeters (c) Find the volume of the sphere in cubic centimeters

(a) 7.97 cm (b) 798.2 cm^2 (c) 2120.62 cm^3

Estimate the number of steps you would have to take to walk a distance equal to the circumference of the Earth. (We estimate that the length of a step for an average person is about 18 inches, or roughly 0.5 m. The radius of the Earth is 6.38*10^6 m)

10^8

The base of a pyramid covers an area of 13.0 acres (1 acre=43560 ft^2) and has a height of 481 ft. If the volume of a pyramid is given by the expression V=bh/3, where b is the area of the base and h is the height, find the volume of this pyramid in cubic meters.

2.6*10^6

An airplane travels x=4.50*10^2 km due east and then travels an unknown distance y due north. Finally it returns to its starting point by traveling a distance of r=525 km. How far did the airplane travel in the northerly direction?

2.70*10^2

A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is crawling on an adjacent wall at a point having coordinates (4.0, 1.0), where the units are meters, what is the distance of the fly from the corner of the room?

4.12 m

The speed of light is about 3.00*10^8 m/s. Convert this figure to miles per hour.

6.71*10^8

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=118 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline to the tree is 0=30.5. How wide is the river?

69.5 m

Two points in a rectangular coordinate system have the coordinates (4.5, 2.6) and (-3.5, 5.5), where the units are centimeters. Determine the distance between these points.

8.5 cm

A displacement is related to time as x=Asin(2pift), where A and f are constants. Find the dimensions of A.

L

Suppose that the displacement of an object is related to time according to the expression x=Bt^2. What are the dimensions of B?

L/T^2

A car is traveling at a speed of 36.2 m/s on an interstate highway where the speed limit is 60.0 mi/h. Is the driver exceeding the speed limit?

Yes