The value of acceleration due to gravity at earth's surface is 9.8 ms 2. The altitude above its surface at which the acceleration due to gravity decreases to 4.9 ms 2, is close to (Take, radius of earth = 6.4 x 106 m) (a) 9.0 × 106 m (c) 6.4 × 106 m X (b) 2.6 × 106 m (d) 1.6 × 106 m
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- Vector V1 is 5.0 units long and points along the negative x-axis. Vector V2 is 10.0 units long and points at an angle of 30.0 degrees above the positive x-axis. (a) Find the x and y components of the vector sum V2 + V1 and then determine the magnitude and direction of the vector sum V2+V1. (b) Sketch the vector sum V2+V1 on a grid.If you make multiple measurements of your height, you are likely to find that the results vary by nearly half an inch in either direction due to measurement error and actual variations in height. You are slightly shorter in the evening, after gravity has compressed and reshaped your spine over the course of a day. One measurement of a man's height is 6 feet and 1 inch. Express his height in meters, using the appropriate number of significant figures.In meters, what is the displacement traveled fromt = 10 sec to t = 25 sec? To correctly calculate the answer, you must determine the total area of this section. Enter your answer as an integer, not a fraction. 20 15 + 10 10 15 20 25 t(sec) -5 -10 -15 -20 v(m/sec) in
- Given vector A=2i-3j and vector B = 2i -4j. If vector C = A -2*B then C equals ..One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.91 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number Units (b) Number i Units (c) Number i UnitsThe vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a magnitude of 3.0 meters and points in the +y direction. Vector C is defined so that C - A + B = 0. What is the magnitude and direction of vector C? Give your answers to 2 significant figures.
- One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.37 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number i Units (b) Number i (c) Number i Units UnitsGiven the quantities a = 4.6 m, b = 4.4 s, c = 75 m/s, what is the value of the quantity d = cb² Number i 0.06 Units m/s^2 ?An electron's position is given by r=(3ti+4t2j+2k) with t in seconds and r in meters. A)Determine the electron's velocity v(t) in unit vector notation. B)What is the magnitude of v(t) at t=2 s? C)What is the angle between v(t) and the unit vector ı ?
- In the sum A + B = C, v A has a magnitude of 13.7 m and is angled 49.0° counterclockwise from the +x direction, and vector has a magnitude of 15.8 m and is angled 24.1° counterclockwise from the -x direction. What are (a) the magnitude and (b) the angle (relative to +x) of B? State your angle as a positive number. (a) Number i (b) Number i vector Units UnitsThe x component of vector A is-28.5 m and they component is +50.0 m. (a) What is the magnitude of A? (b) What is the angle between the direction of A and the positive direction of x? (a) Number i (b) Number i Units Units <One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 1.60 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number i Units (b) Number i (c) Number i Units Units