Chapter 10: Q.40 (page 257)

A cable with $20.0 N$ of tension pulls straight up on a $1.50 k g$ block that is initially at rest. What is the block’s speed after being lifted $2.00 m$ ? Solve this problem using work and energy.

Short Answer

Expert verified

The block's speed = $7.302 m / s$ .

Step by step solution

Speed :

It is the change in an object's location with regard to time.

Explanation :

Rope's tension $T = 20 N$

block's mass $m = 1.5 k g$

lift of h = $2 m$

Work done is,

$W = T \times h$

Block's kinetic energy is calculated by,

$K E = \frac{1}{2} m v^{2}$

$K E$ = kinetic energy

$m$ = block's mass

$v$ = block's velocity

To lift the block upto $2 m$ , the work required is,

$W = T \times h W = 20 \times 2 = 40 J$

Since the work is done to increase the block's potential energy, the change in potential energy equals the change in kinetic energy, according to the law of energy conservation.

$K E = W$

Block's velocity after being lifted for $h = 2 m$ is,

$\frac{1}{2} m v^{2} = K E = W \frac{1}{2} \times 1.5 \times v^{2} = 40 v = 7.302 m / s$

Hence, block's velocity is $7.302 m / s$ .

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A cable with $20.0 N$ of tension pulls straight up on a $1.50 k g$ block that is initially at rest. What is the block’s speed after being lifted $2.00 m$ ? Solve this problem using work and energy.

Short Answer

Step by step solution

Speed :

Explanation :

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A cable with 20.0N of tension pulls straight up on a 1.50kg block that is initially at rest. What is the block’s speed after being lifted 2.00m? Solve this problem using work and energy.

Short Answer

Step by step solution

Speed :

Explanation :

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

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Study anywhere. Anytime. Across all devices.

A cable with $20.0 N$ of tension pulls straight up on a $1.50 k g$ block that is initially at rest. What is the block’s speed after being lifted $2.00 m$ ? Solve this problem using work and energy.