Chapter 7: Q. 18 (page 178)

A $2.0$ -m-long, $500 g$ rope pulls a $10 k g$ block of ice across a horizontal, frictionless surface. The block accelerates at $2.0 m / s^{2}$ . How much force pulls forward on (a) the ice, (b) the rope? Assume that the rope is perfectly horizontal.

Short Answer

Expert verified

(a)The pulling force on the ice is $20 N$

(b) The pulling force on the rope is $21 N$

Step by step solution

Given information (part a)

Length of rope $L = 2 m$

Mass of the rope, $m = 0.5 k g$

Mass of the block, $M = 10 k g$

Explanation (part a)

The pulling force on the ice is

$F = m a m = 10 k g$

Acceleration of the block localid="1649673133341" $a = 2 m / s^{2}$

localid="1649613259536" $F = (10 k g) (2 m / s^{2}) = 20 N$

The pulling force on the ice is $20 N$

Given information (part b)

Length, $L = 2 m$

Mass of the rope, $m = 0.5 k g$

Mass of the block, $M = 10 k g$

Explanation (part b)

Force on the rope, $F_{r}$

localid="1649613290873" $F_{r} = M a + m a M = 10 k g m = 0.5 k g a = 2 m / s^{2} F_{r} = (10 k g) (2 m / s^{2}) + (0.5 k g) (2 m / s^{2}) = 21 N$

The pulling force on the rope is $21 N$

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A $2.0$ -m-long, $500 g$ rope pulls a $10 k g$ block of ice across a horizontal, frictionless surface. The block accelerates at $2.0 m / s^{2}$ . How much force pulls forward on (a) the ice, (b) the rope? Assume that the rope is perfectly horizontal.

Short Answer

Step by step solution

Given information (part a)

Explanation (part a)

Given information (part b)

Explanation (part b)

One App. One Place for Learning.

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A 2.0-m-long, 500grope pulls a 10kg block of ice across a horizontal, frictionless surface. The block accelerates at 2.0m/s2 . How much force pulls forward on (a) the ice, (b) the rope? Assume that the rope is perfectly horizontal.

Short Answer

Step by step solution

Given information (part a)

Explanation (part a)

Given information (part b)

Explanation (part b)

One App. One Place for Learning.

Most popular questions from this chapter

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A $2.0$ -m-long, $500 g$ rope pulls a $10 k g$ block of ice across a horizontal, frictionless surface. The block accelerates at $2.0 m / s^{2}$ . How much force pulls forward on (a) the ice, (b) the rope? Assume that the rope is perfectly horizontal.