Question

physics inmotion>>> gpb.org/physics - motion unit 1d vectors & scalars practice problems name: leandro simbolo date: 8 - 6 - 25 work each of the following problems. show all work. 1. classify the following measurements as vector or scalar quantities: 1.0 m = ______ - 3.2 n = ____ 5.3 m/s² left = ____ 9.2 kg = ____ 2.35 m north = ____ 4.2 s = ____ 6.8 cm² = ____ 7.3 km, 30° ne = ______ 2. add the following vectors together using the tip - to - tail method, and determine the magnitude of the resultant. a. 4 m 2 m b. 2 m 4 m c. 4 m 2 m d. 6 m 3 m 4 m e. 3 m 4 m 6 m

Explanation:

Step1: Recall vector - scalar definitions

A scalar has only magnitude, while a vector has magnitude and direction.
1.0 m has only magnitude, so it is a scalar.
2.35 m north has magnitude (2.35 m) and direction (north), so it is a vector.

• 3.2 N has magnitude (3.2 N) and the negative sign indicates direction, so it is a vector.

4.2 s has only magnitude, so it is a scalar.
5.3 m/s² left has magnitude (5.3 m/s²) and direction (left), so it is a vector.
6.8 cm² has only magnitude, so it is a scalar.
9.2 kg has only magnitude, so it is a scalar.
7.3 km, 30° NE has magnitude (7.3 km) and direction (30° NE), so it is a vector.

Step2: Use tip - to - tail method for vector addition

a.

Place the tail of the 2 m vector at the tip of the 4 m vector. The resultant has a magnitude of 4 m+2 m = 6 m.

b.

Place the tail of the 4 m vector at the tip of the 2 m vector. The resultant has a magnitude of 2 m + 4 m=6 m.

c.

The vectors are in opposite directions. The magnitude of the resultant is |4 m - 2 m|=2 m.

d.

First, 6 m - 3 m+4 m=(6 - 3 + 4)m = 7 m.

e.

-3 m+4 m+6 m=(-3 + 4+6)m = 7 m.

Answer:

1.
1.0 m = Scalar
2.35 m north = Vector
-3.2 N = Vector
4.2 s = Scalar
5.3 m/s² left = Vector
6.8 cm² = Scalar
9.2 kg = Scalar
7.3 km, 30° NE = Vector
2.
a. 6 m
b. 6 m
c. 2 m
d. 7 m
e. 7 m