A man pushes a block up an incline at a constant speed. As the block moves up the incline,

  1. its kinetic energy and potential energy both increase.
  2. its kinetic energy increases and its potential energy remains the same.
  3. its potential energy increases and its kinetic energy remains the same.
  4. its potential energy increases and its kinetic energy decreases by the same amount.

Short Answer

Expert verified

Option (c):Its potential energy increases, and its kinetic energy remains the same.

Step by step solution

01

Definition of kinetic energy

The energy possessed by an object by virtue of its motion is known as kinetic energy.It is given by the formula:

\(KE = \frac{1}{2}m{v^2}\)

02

Definition of potential energy

The energy stored in an object by virtue of its position above the surface of the earth is known as potential energy.It is given by the formula:

\(PE = mgh\)

Here, g is the acceleration due to gravity, and has a value of \(9.8\;{\rm{m/}}{{\rm{s}}^{\rm{2}}}\).

03

Analysis of the block’s energy moving up the incline

As the block is pushed upward along an incline with a constant speed, its kinetic energy remains the same.

The potential energy at the bottom of the incline is zero, but on gradually pushing it upward, the height of the box from the surface of the earth increases. This leads to an increase in potential energy.

Thus, the potential energy of the box increases, but its kinetic energy remains the same.

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Most popular questions from this chapter

A hand exerts a constant horizontal force on a block that is free to slide on a frictionless surface (Fig. 6–30). The block starts from rest at point A, and by the time it has traveled a distance d to point B it is traveling with speed \({v_{\rm{B}}}\). When the block has traveled another distance d to point C, will its speed be greater than, less than, or equal to \(2{v_{\rm{B}}}\)? Explain your reasoning.

FIGURE 6–30 Question 8.

(II) A ski starts from rest and slides down a 28° incline 85 m long. (a) If the coefficient of friction is 0.090, what is the ski’s speed at the base of the incline? (b) If the snow is level at the foot of the incline and has the same coefficient of friction, how far will the ski travel along the level? Use energy methods.

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