Question 1

FIGURE 5-7 
-A ship is being pulled through a harbor by two tug boats at constant velocity as shown in Fig. 5-7. The lines attached to the two tug boats have the same tension, 200,000 N. The lines each make an angle 28.0° to the direction the ship is being towed. What is the magnitude of the drag force on the ship?

Accepted Answer

The horizontal components of the tension from both tug boats must balance the drag force since the ship is moving at constant velocity. Each tug boat contributes a horizontal force of 200,000 N * cos(28°). Therefore, the total drag force is 2 * 200,000 N * cos(28°) = 3.53 × 10^5 N.

Question 2

What is the terminal velocity of a 6.00-kg mass object in falling with a drag force with a magnitude that depends on speed, v, as F_drag = (30.0 N∙s/m)v?

Accepted Answer

Explanation:The terminal velocity is reached when the drag force equals the gravitational force. So,$$F_{drag}=F_g$$$$(30.0	ext{ N}\cdot	ext{s/m})v=mg$$$$v=\frac{mg}{30.0	ext{ N}\cdot	ext{s/m}}=\frac{(6.00	ext{ kg})(9.80	ext{ m/s}^2)}{30.0	ext{ N}\cdot	ext{s/m}}=\boxed{1.96	ext{ m/s}}$$

Question 3

A 30.0-kg object has a drag force with a magnitude proportional to the square of its speed. The object falls with an acceleration 4.00 m/s² downward when it is falling downward at 70.0 m/s. What is its terminal velocity?

Accepted Answer

The answer of A 30.0-kg object has a drag force...

Question 4

A 1.20-kg ball is hanging on the end of a rope. The rope makes an angle 25.0° from the vertical when a 15.0 m/s horizontal wind blows. If the wind's force on the rope is negligible, what is the drag force on the ball?

Accepted Answer

The answer of A 1.20-kg ball is hanging on the...

Question 5

The magnitude of the drag force on a 20.0-kg object is proportional to its speed. The object has a terminal velocity 80 m/s. What is the magnitude of the drag force on the object when it is falling with a speed 30 m/s?

Accepted Answer

The answer of The magnitude of the drag force on...

Question 6

What is the terminal velocity of an 80.00-kg mass object in falling with a drag force with a magnitude that depends on speed, v, as F_drag = (12.0 N∙s/m)v + (4.00 N∙s/m)v²?

Accepted Answer

The answer of What is the terminal velocity of an...

Question 7

A race car enters a flat 200-m radius curve at a speed of 20.0 m/s while increasing its speed at a constant 2.00 m/s². If the coefficient of static friction is 0.700, what will the speed of the car be when the car begins to slide?

Accepted Answer

The correct answer is A because the car will begin to slide when the centripetal force provided by friction is less than the centripetal force required to keep the car moving in a circle. The centripetal force provided by friction is given by f_s = u_s * n, where u_s is the coefficient of static friction and n is the normal force. The normal force is equal to the weight of the car, which is given by n = m * g, where m is the mass of the car and g is the acceleration due to gravity. The centripetal force required to keep the car moving in a circle is given by f_c = m * v^2 / r, where v is the speed of the car and r is the radius of the curve. When the centripetal force provided by friction is less than the centripetal force required to keep the car moving in a circle, the car will begin to slide.

Question 8

An object is acted on by a drag force with a magnitude that is proportional to the speed. The object accelerates downward at 3.00 m/s² when it is falling with a speed 20.0 m/s. What is the terminal speed of the object as it is falling?

Accepted Answer

The answer of An object is acted on by a...

Quiz 5: Using Newtons Laws: Friction, Circular Motion, Drag Forces

What is the terminal velocity of a 6.00-kg mass object in falling with a drag force with a magnitude that depends on speed, v, as F_drag = (30.0 N∙s/m) v?

A 30.0-kg object has a drag force with a magnitude proportional to the square of its speed. The object falls with an acceleration 4.00 m/s² downward when it is falling downward at 70.0 m/s. What is its terminal velocity?

A 1.20-kg ball is hanging on the end of a rope. The rope makes an angle 25.0° from the vertical when a 15.0 m/s horizontal wind blows. If the wind's force on the rope is negligible, what is the drag force on the ball?

The magnitude of the drag force on a 20.0-kg object is proportional to its speed. The object has a terminal velocity 80 m/s. What is the magnitude of the drag force on the object when it is falling with a speed 30 m/s?

What is the terminal velocity of an 80.00-kg mass object in falling with a drag force with a magnitude that depends on speed, v, as F_drag = (12.0 N∙s/m) v + (4.00 N∙s/m) v²?

A race car enters a flat 200-m radius curve at a speed of 20.0 m/s while increasing its speed at a constant 2.00 m/s². If the coefficient of static friction is 0.700, what will the speed of the car be when the car begins to slide?

An object is acted on by a drag force with a magnitude that is proportional to the speed. The object accelerates downward at 3.00 m/s² when it is falling with a speed 20.0 m/s. What is the terminal speed of the object as it is falling?

Quiz 5: Using Newtons Laws: Friction, Circular Motion, Drag Forces

What is the terminal velocity of a 6.00-kg mass object in falling with a drag force with a magnitude that depends on speed, v, as Fdrag = (30.0 N∙s/m) v?

A 30.0-kg object has a drag force with a magnitude proportional to the square of its speed. The object falls with an acceleration 4.00 m/s2 downward when it is falling downward at 70.0 m/s. What is its terminal velocity?

A 1.20-kg ball is hanging on the end of a rope. The rope makes an angle 25.0° from the vertical when a 15.0 m/s horizontal wind blows. If the wind's force on the rope is negligible, what is the drag force on the ball?

The magnitude of the drag force on a 20.0-kg object is proportional to its speed. The object has a terminal velocity 80 m/s. What is the magnitude of the drag force on the object when it is falling with a speed 30 m/s?

What is the terminal velocity of an 80.00-kg mass object in falling with a drag force with a magnitude that depends on speed, v, as Fdrag = (12.0 N∙s/m) v + (4.00 N∙s/m) v2?

A race car enters a flat 200-m radius curve at a speed of 20.0 m/s while increasing its speed at a constant 2.00 m/s2. If the coefficient of static friction is 0.700, what will the speed of the car be when the car begins to slide?

An object is acted on by a drag force with a magnitude that is proportional to the speed. The object accelerates downward at 3.00 m/s2 when it is falling with a speed 20.0 m/s. What is the terminal speed of the object as it is falling?

What is the terminal velocity of a 6.00-kg mass object in falling with a drag force with a magnitude that depends on speed, v, as F_drag = (30.0 N∙s/m) v?

A 30.0-kg object has a drag force with a magnitude proportional to the square of its speed. The object falls with an acceleration 4.00 m/s² downward when it is falling downward at 70.0 m/s. What is its terminal velocity?

What is the terminal velocity of an 80.00-kg mass object in falling with a drag force with a magnitude that depends on speed, v, as F_drag = (12.0 N∙s/m) v + (4.00 N∙s/m) v²?

A race car enters a flat 200-m radius curve at a speed of 20.0 m/s while increasing its speed at a constant 2.00 m/s². If the coefficient of static friction is 0.700, what will the speed of the car be when the car begins to slide?

An object is acted on by a drag force with a magnitude that is proportional to the speed. The object accelerates downward at 3.00 m/s² when it is falling with a speed 20.0 m/s. What is the terminal speed of the object as it is falling?