Question 9, chap 103, sect 9. A man pushing a mop across a floor causes the mop

Question

Question 9, chap 103, sect 9.

A man pushing a mop across a floor causes the mop to undergo two displacements. The first has a magnitude of 211 cm and makes an angle of 145 with the positive x-axis.

The resultant displacement has a magni- tude of 187 cm and is directed at an angle of 23.8 to the positive x-axis.

Find the magnitude of the second displace- ment.

Answer in units of cm.

Question 10, chap 103, sect 9.

Find the direction of the second displace- ment with respect to positive x axis. (Con- sider counterclockwise to be positive and an- swer within the limits of 180 to 180.) Answer in units of .

Question 11, chap 103, sect 9.

A quarterback takes the ball from the line of scrimmage, runs backward for 12.0 yards, then runs sideways parallel to the line of scrimmage for 17.0 yards. At this point, he throws a 21.0 yard forward pass straight down the field.

What is the magnitude of the football’s

Explanation / Answer

here,

9)

displacement 1 , d1 = 211 * (cos(145) i + sin(145) j )

d1 = - 172.8 i cm + 121 j cm

let the seccond displacement be d2

d1 + d2 = R

- 172.8 i cm + 121 j cm + d2x i + d2y j = 187 * ( cos(23.8)i + sin(23.8) j )

compairing

d2x = 343.9 cm

d2y = - 45.5 cm

the magnitude of seccond , |d2| = sqrt(d2x^2 + d2y^2) = 346.9 cm

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