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Chapter 6: Q26P (page 1249)

Calculate the magnitude of the force required to give a 0.145-kg baseball an acceleration a = 1.00 m/s^2 in the direction of the baseball鈥檚 initial velocity when this velocity has a magnitude of (a) 10.0 m/s; (b) 0.900c; (c) 0.990c. (d) Repeat parts (a), (b), and (c) if the force and acceleration are perpendicular to the velocity.

Short Answer

Expert verified

The magnitude of forces when the force and the acceleration are along the same line to the velocity..

a)F=0.145N

b)F=1.75N

c)F=51.7N

d)Where the force and the acceleration are perpendicular to the velocity.

a) F=0.145N

b) F=0.333N

c) F=1.03N

Step by step solution

01

Step 1:Formula of magnitude of the force.

When force and acceleration in same line,

F=纬3ma

When force and acceleration are perpendicular.

F=纬ma

In both the cases,

纬=11-u2c2

02

Step 2:Calculating the force of magnitude when along the same line.

a)

F=11-1023脳10820.145*1=0.145N

b)

F=11-0.900c2c20.145*1=1.75N

c)

F=11-0.990c2c20.145*1=51.7N

03

Calculating the force of magnitude when perpendicular to each other.

d)

a) F=11-1023脳10820.145*1=0.145N

b)F=11-0.900c2c20.145*1=0.333N

c)F=11-0.990c2c20.145*1=1.03N

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