   Chapter 13.4, Problem 21E

Chapter
Section
Textbook Problem

# A force with magnitude 20 N acts directly upward from the .xy-plane on an object with mass 4 kg. The object starts at the origin with initial velocity v(0) = i − j. Find its position function and its speed at time t.

To determine

To find: The speed at time t.

Explanation

Given:

|F|=20N, m=4kg, r(0)=0 and v(0)=ij.

Formula used:

Write the expression for second law of motion.

F(t)=ma(t) (1)

Here,

F(t) is the force,

m is the mass, and

a(t) is the acceleration.

Write the expression to find the acceleration.

a(t)=v(t) (2)

Write the expression to find the speed.

Speed=|v(t)| (3)

The force with magnitude 20 N acts upwards from the xy- plane, that is F(t)=20k (force acts inz-plane).

Substitute 20k for F(t) and 4 for m in equation (1),

20k=(4)a(t)a(t)=20k4a(t)=5k

Modify equation (2)

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