A railroad car moves under a grain elevator at a constant speed of 3.20ms. Grain drops into the car at the rate of540kgmin. What is the magnitude of the force needed to keep the car moving at constant speed if friction is negligible?

Short Answer

Expert verified

Magnitude of force needed to keep the car moving at constant speed is 28.8 N

Step by step solution

01

Step 1: Given

Car speed is,vrel=3.20ms

Grain’s Massrate is,
R=540kgmin=54060kgsec

02

Determine the concept

Use the formula for force in terms of mass rate and relative velocity, find the magnitude of force needed to keep the car moving at constant speed.

Formula is as follow:

F=Rvrel

Here, F is force, R is mass rate and vrelis relative velocity.

03

Determining the magnitude of force needed to keep the car moving at constant speed

Magnitude of force needed to keep the car moving is,

F=R×vrelF=54060×3.2F=28.8N

Hence, themagnitude of force needed to keep the car moving at constant speed is

28.8 N

Therefore, the additional force required to keep moving the object can be found using the mass rate of the other object and relative velocity.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

At time t = 0 , a ball is struck at ground level and sent over level ground. The momentum p versus t during the flight is given by Figure (with p0 = 6.0 kg.m/s and p1 = 4.0 kg.m/s). At what initial angle is the ball launched? (Hint: find a solution that does not require you to read the time of the low point of the plot.)

A 0.550 kgball falls directly down onto concrete, hitting it with a speed of12.0msand rebounding directly upward with a speed of3.00ms. Extend a yaxis upward. In unit-vector notation, what are (a) the change in the ball’s momentum, (b) the impulse on the ball, and (c) the impulse on the concrete?

A completely inelastic collision occurs between two balls of wet putty that move directly toward each other along a vertical axis. Just before the collision, one ball, of mass 3.0 kg, is moving upward at 20 m/sand the other ball, of mass 2.0 kg, is moving downward at 12 m/s. How high do the combined two balls of putty rise above the collision point? (Neglect air drag)

Figure 9-24 shows an overhead view of four particles of equal mass sliding over a frictionless surface at constant velocity. The directions of the velocities are indicated; their magnitudes are equal. Consider pairing the particles. Which pairs form a system with a center of mass that (a) is stationary, (b) is stationary and at the origin, and (c) passes through the origin?

Figure 9-82 shows a uniform square plate of edge length 6d=6.0 m from which a square piece of edge length 2dhas been removed. What are (a) the xcoordinate and (b) the ycoordinate of the center of mass of the remaining piece?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free