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Chapter 5: Q19P (page 118)

A 500kgrocket sled can be accelerated at a constant rate from rest to 1600km/hin1.8s. What is the magnitude of the required net force?

Short Answer

Expert verified

The magnitude of the required force is1.23×105N .

Step by step solution

01

The given data

  • Mass of the rocket,m=500kg.
  • Initial velocity of the rocket,vi=0m/s
  • Final velocity of the rocket,vf=1600km/hror444.44m/s.
  • Rate of constant acceleration, t=1.8s.
02

Understanding the concept of kinematics

As we are given the change in velocity in the given period, we can find the acceleration of the rocket.

We already have the mass of the rocket, using Newton’s 2nd law we can find the net force acting on it.

Formula:

Force according to Newton’s second law, F=ma (i)

Acceleration of a body in motion, a=∆V∆t (ii)

03

Calculation of magnitude of the force

Using equation (i), we get the magnitude of the force on the rocket as:

F=500kg×444.44m/s1.8s(∵fromequation(ii),a=vf-vit)=1.23×105N

Hence, the value of force is1.23×105N.

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Most popular questions from this chapter

Figure 5-25 gives three graphs of velocity component and three graphs of velocity component . The graphs are not to scale. Which graph and which graph best correspond to each of the four situations in Question 1 and Fig. 5-19?

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